Answer:
272,100
This is because 62 rounds up
Answer:
272,100
You get this answer by looking at the hundreds place and then looking at the right of it. The hundreds place is the 0 and the the right of it is 6, so 5 and up round up 4 and down round down and in this case, 6 is above 5, so it rounds up to 272,100!
Hope this helped!
a concert venue can hold 200 people. student tickets are 50% less than adult tickets. Adult tickets at $50.00. The venue was sold out and made a revenue of $9125 for one event. How many adults vs. student tickets were sold?
Answer:
The number of adults tickets sold is 165
The number of students tickets sold is 35
Step-by-step explanation:
Given as :
The total people that concert venue hold = 200 people
The price of adults tickets = $50
The price of students tickets = 50% less than adults tickets
I.e The price of students tickets = $50 - 50% of $50
Or, The price of students tickets = $25
The total revenue earn = $9125
Let The number of adults tickets sold = A
The number of students tickets sold = S
Now, According to question
The total people that concert venue hold = 200
Or, A + S = 200 ...........1
The total revenue earn = The number of adults tickets sold × The price of adults tickets + The number of students tickets sold × The price of students tickets
Or, A × $50 + S × $25 = $9125
Or, 50 A + 25 S = 9125 ..........2
Solving both equations
(50 A + 25 S) - 25 × (A +S) = 9125 - 25 × 200
Or, (50 A - 25 A) + (25 S - 25 S) = 9125 - 5000
Or, 25 A + 0 = 4125
∴ A = [tex]\dfrac{4125}{25}[/tex]
I.e A = 165
So, The number of adults tickets sold = A = 165
Put the vale of A in eq 1
I.e A + S = 200
So, S = 200 - A
∴ S = 200 - 165
I.e S = 35
So. The number of students tickets sold = S = 35
Hence The number of adults tickets sold is 165 and
The number of students tickets sold is 35 Answer
Write the ratio as a fraction in simplest form.
6 out of 9
Answer: 2/3
Step-by-step explanation: We can rewrite the ratio 6 out of 9 as the fraction 6/9 by putting 6 in the position of the numerator and 9 in the position of the denominator.
Notice however, 6/9 is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 6 and 9 which is 3 to get the equivalent fraction 2/3.
Therefore, the ratio 6 out of 9 can be rewritten as the fraction 2/3.
15. Marteen wants to paint 2/3 of her room today. She wants to paint 1/4
of that before lunch. How much of her room will she paint
today before lunch?
Answer:
1/6
Step-by-step explanation:
2/3 x 1/4 is 2/12, which simplified is 1/6.
Answer: Marteen will paint 1/6 of her room today.
Step-by-step explanation:
In order to solve this equation, all you have to do is multiply how much of her room Marteen wants to paint today (2/3) by how much of that amount she wants to paint before lunch (1/4). because she wants to paint 1/4 of 2/3 of her room before lunch, you have to multiply 2/3 and 1/4. SO...
Multiply: 1/4 x 2/3 = 2/12
Simplify: 2/12 = 1/6
Answer: 1/6
Hope this helps!
Three pairs of shoes are priced at $39.95 each.
Estimate the total cost for the all 3 pairs of
shoes.
Answer:
39.95 × 3 = $119.85
Estimated at $40 each
3 pairs total $120
Evaluate: (4 + 6 ⋅
3) + 3
16
66
33
25
Answer:
25
Step-by-step explanation:
(4 + 6*3) + 3
(4+18) +3
25
Youssef can either way from his home to his workplace or ride his bicycle. he walks at a pace of 1 block per min, but he can travel 1 block in 20 sec on his bicycle. if it takes youssef 10 min longer to walk to work than to ride his bike, how many blocks away from work does he live ?
Youssef lives 15 blocks away from his work
Solution:
Given that Youssef can either way from his home to his workplace or ride his bicycle
Let "x" be number of blocks away from work Youssef works
Case 1: walking
He walks at a pace of 1 block per min
Therefore,
1 block = 1 minute
Thus to cross "x" blocks he takes "x" minutes
Case 2: Bicycle
He can travel 1 block in 20 sec on his bicycle
We know that,
To convert seconds to minute, divide the time value by 60
[tex]\rightarrow 20 seconds = \frac{20}{60} minutes = \frac{1}{3} minutes[/tex]
Thus he takes 1/3 minutes for 1 block
So to cross "x" blocks he will take [tex]\frac{x}{3}[/tex] minutes
Given that it takes youssef 10 min longer to walk to work than to ride his bike
This means difference between time taken to cross "x" blocks by walking and ride by bicycle is 10 minutes
[tex]\rightarrow x - \frac{x}{3} = 10\\\\\rightarrow \frac{3x - x}{3} = 10\\\\\rightarrow \frac{2x}{3} = 10\\\\\rightarrow x = \frac{30}{2}\\\\\rightarrow x = 15[/tex]
Thus he lives 15 blocks away from his work
Final answer:
Youssef lives 15 blocks away from his workplace, which is determined by solving the equation x = x/3 + 10 after converting his biking speed to 3 blocks per minute.
Explanation:
To solve for how many blocks away Youssef lives from his workplace, we'll set up an equation using the information given. First, let's convert Youssef's bicycling speed to blocks per minute. Since he can travel 1 block in 20 seconds, and there are 3 sets of 20 seconds in a minute, he travels at a speed of 3 blocks per minute on his bicycle.
Let's denote the number of blocks to Youssef's workplace as 'x'. According to the question, walking there takes Youssef 10 minutes longer than biking. If he walks at the pace of 1 block per minute, walking to work takes 'x' minutes. Biking, at 3 blocks per minute, would take 'x/3' minutes. The relationship between the walking time and biking time is therefore 'x = x/3 + 10'.
We can solve the equation by multiplying each term by 3 to get rid of the fraction: '3x = x + 30'. Solving for 'x' gives us '2x = 30', and thus 'x = 15'. Youssef lives 15 blocks away from his workplace.
Complete the statement to describe the expression (a+b+c)(d+e+f)
The expression consists of _ factors, and each factor contains _ terms.
fill in the blanks.
Answer:
The expression consists of two factors, and each factor contains three terms.
Step-by-step explanation:
Factors are numbers that multiply. The two brackets are written stuck to each other without any symbol between them, which means they are multiplying.
(a+b+c) is the first factor.
(d+e+f) is the second factor
Terms are numbers that separated by addition or subtraction.
Inside the first bracket, the terms are "a", "b", and "c".
Inside the second bracket, the terms are "d"", "e", and "f".
Jonah has a recipe that uses 1 1/2 cups of brown sugar and 2 1/3 cups of flour. Jonah wants to use all of his flour to make as many muffins as possible using this recipe.
Exactly how many cups of brown sugar will Jonah use if he uses all 7 cups of flour?
Answer:
4 1/2
Step-by-step explanation:
Answer:
4 1/2
Step-by-step explanation:
He made the recipe 3 times. 1 1/2*3=4 1/2
Two airplanes leave the same airport. One heads north, and the other heads east. After some time, the northbound airplane has traveled 24 kilometers. If the two airplanes are 30 kilometers apart, how far has the eastbound airplane traveled?
18 km
Step-by-step explanation:
The vector appears as shown in the attached illustration. This is tantamount to finding the ? side of the right-angled triangle. The formulae is;
a² + b² = c²
24² + x² = 30²
x² = 30² – 24²
= 900 - 576
x² = 324
x = 18
Learn More:
For more on vectors check out;
https://brainly.com/question/10435343
https://brainly.com/question/12006588
#LearnWithBrainly
Final answer:
By using the Pythagorean theorem on the right triangle formed by the paths of the two airplanes, it is determined that the eastbound airplane has traveled 18 kilometers.
Explanation:
The question involves a geometrical problem that can be solved using the Pythagorean theorem. We are given that two airplanes leave the same airport, one heading north and the other heading east. After a certain time, the northbound airplane has traveled 24 kilometers. We are asked to find out how far the eastbound airplane has traveled, given that the two airplanes are now 30 kilometers apart.
To solve this, we can consider the path of the two airplanes as two sides of a right triangle, with the distance between the two airplanes being the hypotenuse. Using the Pythagorean theorem which states that in a right triangle the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b), or a2 + b2 = c2, we have:
Let x be the distance traveled by the eastbound airplane.
242 + x2 = 302
x2 = 302 - 242
x2 = 900 - 576
x2 = 324
x = √324
x = 18 kilometers
The eastbound airplane has traveled 18 kilometers.
86,700,000-3.45•10^7
Answer:8.65
Step-by-step explanation:
COO
1. ABCD is a parallelogram. The diagram is not drawn to scale. If mZCDA = 125°, then mZDCB
(1 point)
m
mm
125°
65°
55°
120°
Answer:
Therefore
m∠ DCB is 55°
Step-by-step explanation:
Given:
ABCD is a parallelogram. The diagram is not drawn to scale.
m∠CDA = 125°,
To FInd
m∠DCB = ?
Solution:
ABCD is a parallelogram.
AD || BC .......{opposite sides of a parallelogram are parallel}
∴∠CDA+∠DCB = 180°{SUM of the interior angles between parallel are supplementary}
substituting the values we get
[tex]125+m\angle DCB=180\\\\m\angle DCB =180-125=55\\\\m\angle DCB =55\°[/tex]
Therefore
m∠ DCB is 55°
What is the value of the expression below?
3/8 +-4/5+-3/8+5/4
Answer:
The value of the expression is [tex]\frac{9}{20}[/tex]
Step-by-step explanation:
In order to sum or subtract these fractions we need to find their LCM.
The overall LCM is 20.
Thus:
4/5=16/205/4=25/20The we get:
= -16/20+25/20
Which gives:
=9/20
87.5% of 64 =
38
48
58
56
87.5% of 64 is 0.875 • 64 = 56
Hope this helps.
Final answer:
To find 87.5% of 64, convert 87.5% to a decimal (0.875) and multiply by 64 to get 56.
Explanation:
To calculate 87.5% of 64, convert the percentage to a decimal and multiply by the number. Here's how you do it:
Convert the percentage to a decimal: 87.5% = 0.875.Multiply this decimal by the number: 0.875 × 64.Calculate the product to get the answer.Calculating this, we get:
0.875 × 64 = 56
robert makes 50 litres of green paint by mixing litres of yellow paint and litres of blue paint in the ratio 2:3.
yellow paint is sold in 5 litre tins. each tin costs £26.
blue paint is sold in 10 litre tins. each tin costs £48.
robert sells all the green paint he makes in 10 litre tins. the sells each tin of green paint for £66.96.
work out Roberts percentage profit of each tin of green paint he sells.
Answer:
35%Explanation:
1. Cost of each liter of yellow paint:
Yellow paint is sold in 5 litre tins and ach tin costs £26, thus the cost of one liter is £26 / 5 liters = £5.2 per liter.
2. Cost of each liter of blue paint:
Blue paint is sold in 10 litre tins and each tin costs £48, thus the cost of one liter of blue paint is £48 / 10 liters = £4.8 per liter
3. Cost of each liter of green paint.
Green paint is made by mixing yellow paint and blue paint in the ratio 2:3
Thus, 5 liters of green paint will cost:
2 liters yellow paint: 2 liter × £5.2 / liter = £10.4
3 liters blue paint: 3 liter × £4.8 / liter = £14.4
========== ========
5 liters green paint: 5 liter £24.8
Cost of one liter of gree paint: £24.8 / 5 liter = £4.96 / liter
4. Profit
Price of each liter of green paint: £66.96 / 10 liters = £6.696 / liter = £6.70 / liter
Profit per liter = price per liter - cost per liter = £6.70/liter - £4.96 / liter = £1.74 / liter
Percentage profit = profit per liter / cost per liter × 100
Percentage profit = (£1.74 / liter) / (£4.96/liter) × 100 = 35.08% = 35%
Part 1: You are playing a game of Russian roulette with me. I put it 2 bullets in consecutive chambers, spin it, and take my turn. I survived the round, and now it's your turn. You can either take the gun as it is, or spin the chamber to make it random again. Which option gives you a better chance of surviving?
Part 2: what would the answer be if there was only 1 bullet instead?
Answer:
1. The option of spinning the chamber to make it random again gives you a probability of surviving of 67% (1 - Probability of having a bullet in the chamber). The option of taking the gun as it is for a second attempt gives you a probability of surviving of 60% (1- Probability of having a bullet in the chamber after a first non-bullet attempt). Therefore, spinning the chamber to make it random again gives you a better chance of surviving.
2. The option of spinning the chamber to make it random again gives you a probability of surviving of 83% (1 - Probability of having a bullet in the chamber). The option of taking the gun as it is for a second attempt gives you a probability of surviving of 80% (1- Probability of having a bullet in the chamber after a first non-bullet attempt). Therefore, spinning the chamber to make it random again also gives you a better chance of surviving with only one bullet.
Step-by-step explanation:
1. Which option gives you a better chance of surviving?
Let's assume the gun has six chambers, so the probabilities are:
Number of bullets remaining/Number of chambers
For the first attempt, probabilities are = 2/6 or 33%
For the second attempt of shooting the gun, the probability of having a bullet in the chamber would be = 2/5 or 40%
On the other hand, if you spin the chamber to make it random again, the probability of having a bullet in the chamber would be = 2/6 or 33%
The option of spinning the chamber to make it random again gives you a probability of surviving of 67% (1 - Probability of having a bullet in the chamber). The option of taking the gun as it is for a second attempt gives you a probability of surviving of 60% (1- Probability of having a bullet in the chamber after a first non-bullet attempt). Therefore, spinning the chamber to make it random again gives you a better chance of surviving.
2. What would the answer be if there was only 1 bullet instead?
Number of bullets remaining/Number of chambers
For the first attempt, probabilities are = 1/6 or 17%
For the second attempt of shooting the gun, the probability of having a bullet in the chamber would be = 1/5 or 20%
On the other hand, if you spin the chamber to make it random again, the probability of having a bullet in the chamber would be = 1/6 or 17%
The option of spinning the chamber to make it random again gives you a probability of surviving of 83% (1 - Probability of having a bullet in the chamber). The option of taking the gun as it is for a second attempt gives you a probability of surviving of 80% (1- Probability of having a bullet in the chamber after a first non-bullet attempt). Therefore, spinning the chamber to make it random again also gives you a better chance of surviving with only one bullet.
i need help figuring out how to factor
[tex]3 {x}^{2} - 11x - 4[/tex]
Answer:
Step-by-step explanation:
22
alue of the expression below.
7 + (30 – 2) = 7 * 23
Hey Kim! :)
Glad to see you on Brainly.
Look below and watch how we solve this problem.
Ask any questions if you need it! I'll respond when you need it!
[tex]Remove \\parentheses. \\7+30-2=7 * 3\\\\7 + 30 - 2 = 161\\37 - 2 = 161\\\\35 = 161\\ \\ No solution.[/tex]
f(t) = -(t - 2)(t – 15)
1) What are the zeros of the function?
Write the smaller t first, and the larger t second.
Answer:
Smaller t = 2
Larger t = 5
Step-by-step explanation:
Given:
The given function is.
[tex]f(t)=-(t-2)(t-5)[/tex]
Find the zeros of the function.
Solution:
[tex]f(t)=-(t-2)(t-5)[/tex]
Simplify the equation above equation.
[tex]f(t)=-(t^{2}-5t-2t+10)[/tex]
[tex]f(t)=-(t^{2}-7t+10)[/tex]
[tex]f(t)=-t^{2}+7t-10[/tex]
Now, we first find the root of the above equation.
Use quadratic formula with [tex]a=-1, b=7, c=-10[/tex].
[tex]t=\frac{-b\pm \sqrt{(b)^{2}-4ac}}{2a}[/tex]
Put a, b and c value in above equation.
[tex]t=\frac{-7\pm \sqrt{(7)^{2}-4(-1)(-10)}}{2(-1)}[/tex]
[tex]t=\frac{-7\pm \sqrt{49-4\times 10}}{-2}[/tex]
[tex]t=\frac{-7\pm \sqrt{49-40}}{-2}[/tex]
[tex]t=\frac{-7\pm \sqrt{9}}{-2}[/tex]
[tex]t=\frac{-7\pm 3}{-2}[/tex]
For positive sign
[tex]t=\frac{-7 + 3}{-2}[/tex]
[tex]t=\frac{-4}{-2}[/tex]
t = 2
For negative sign
[tex]t=\frac{-7 - 3}{-2}[/tex]
[tex]t=\frac{-10}{-2}[/tex]
t = 5
Put t = 2 in given function.
[tex]f(t)=-(2-2)(2-5)=0[/tex]
Put t = 5 in given function.
[tex]f(t)=-(5-2)(5-5)=0[/tex]
So, the zeros of the function is t = 2 or 5
Therefore, the smaller value of t = 2 and larger value of t = 5.
The product of a nonzero rational number and an irrational number is always rational.
True
False
Answer:
Step-by-step explanation:True
A store is having a sale with 10% off everything
Write an equation to show the ale price s of any item given its regular price r
Answer:
Step-by-step explanation:
Since the sale price is always less than the original, we take the original and subtract from it the percent off to give us the sale price. Putting that into equation form:
s = r - .10r
which says, in words, that the sale price is equal to the regular price minus 10% of the regular price.
(1,5) and (2,3) write a linear function in the form y=Mx+b for the line
Answer:
y= -2x + 7
Step-by-step explanation:
The perimeter of a rectangle is 40 inches the width is 8 inches shorter than the length find the dimensions of the rectangle
Answer:
p=40
w=l-8
40=w+l
40=2(l-8)+2l
40=2l-16+2l
40=4l-16
56=4l
14=l
length=14
w=14-8=6
l=14
w=6
Main equation:
2L + 2w = 40
We know that
w = L - 8
Substitute in known value
2L + 2(L - 8) = 40
Solve
2L + 2L - 16 = 40
4L = 24
L = 6
Length = 6 inches
Width = 14 inches
Hope this helps :)
Explain how you would simplify the
following:
Answer:
Step-by-step explanation:
185,000[tex]\\\sqrt{x}[/tex]
Answer:
Step-by-step explanation:
∛108c¹⁷ = ∛2*2*3*3*3*3*c¹⁵ *c²
= 3c⁵∛4c²
Hint: c¹⁵ = (c⁵)³ = c⁵ * c⁵ *c⁵
Find the slope of the line through each pair of points. Pls help and explain if you cann!!
Answer:
1) The slope for the given points (6,7) and (-10,4) is [tex]m=\frac{3}{16}[/tex]
2) The slope for the given points (17,4) and (13,20) is [tex]m=-4[/tex]
3) The slope for the given points (12,19) and (14,18) is [tex]m=-\frac{1}{2}[/tex]
4) The slope for the given points (-11,0) and (18,13) is [tex]m=\frac{13}{29}[/tex]
5) The slope for the given points (3,6) and (-8,20) is [tex]m=-\frac{14}{11}[/tex]
6) The slope for the given points (-16,-20) and (12,5) is [tex]m=\frac{25}{28}[/tex]
7) The slope for the given points (13,20) and (14,-14) is [tex]m=-34[/tex]
8) The slope for the given points (18,15) and (3,0) is [tex]m=1[/tex]
Step-by-step explanation:
To find the slope of the line through each pair of points:
1) Given points are (6,7) and (-10,4)
The slope formula is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Let [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] be the given points (6,7) and (-10,4) respectively
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{4-7}{-10-6}[/tex]
[tex]m=\frac{-3}{-16}[/tex]
[tex]m=\frac{3}{16}[/tex]
Therefore the slope for the given points (6,7) and (-10,4) is [tex]m=\frac{3}{16}[/tex]
2) Given points are (17,4) and (13,20)
The slope formula is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Let [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] be the given points (17,4) and (13,20) respectively
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{20-4}{13-17}[/tex]
[tex]m=\frac{16}{-4}[/tex]
[tex]m=-4[/tex]
Therefore the slope for the given points (17,4) and (13,20) is [tex]m=-4[/tex]
3) Given points are (12,19) and (14,18)
The slope formula is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Let [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] be the given points (12,19) and (14,18) respectively
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{18-19}{14-12}[/tex]
[tex]m=\frac{-1}{2}[/tex]
Therefore the slope for the given points (12,19) and (14,18) is [tex]m=-\frac{1}{2}[/tex]
4) Given points are (-11,0) and (18,13)
The slope formula is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Let [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] be the given points (-11,0) and (18,13) respectively
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{13-0}{18-(-11)}[/tex]
[tex]m=\frac{13}{29}[/tex]
Therefore the slope for the given points (-11,0) and (18,13) is [tex]m=\frac{13}{29}[/tex]
5) Given points are (3,6) and (-8,20)
The slope formula is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Let [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] be the given points (3,6) and (-8,20) respectively
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{20-6}{-8-3}[/tex]
[tex]m=\frac{14}{-11}[/tex]
[tex]m=-\frac{14}{11}[/tex]
Therefore the slope for the given points (3,6) and (-8,20) is [tex]m=-\frac{14}{11}[/tex]
6) Given points are (-16,-20) and (12,5)
The slope formula is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Let [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] be the given points (-16,-20) and (12,5) respectively
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{5-(-20)}{12-(-16)}[/tex]
[tex]m=\frac{5+20}{12+16}[/tex]
[tex]m=\frac{25}{28}[/tex]
Therefore the slope for the given points (-16,-20) and (12,5) is [tex]m=frac{25}{28}[/tex]
7) Given points are (13,20) and (14,-14)
The slope formula is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Let [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] be the given points (13,20) and (14,-14) respectively
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{-14-20)}{14-13}[/tex]
[tex]m=\frac{-34}{1}[/tex]
[tex]m=-34[/tex]
Therefore the slope for the given points (13,20) and (14,-14) is [tex]m=-34[/tex]
8) Given points are (18,15) and (3,0)
The slope formula is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Let [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] be the given points (18,15) and (3,0) respectively
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{0-15}{3-18}[/tex]
[tex]m=\frac{-15}{-15}[/tex]
[tex]m=1[/tex]
Therefore the slope for the given points (18,15) and (3,0) is [tex]m=1[/tex]
-3x + 2 = -7 what is the x
Answer: x = 3
Step-by-step explanation: To solve for x in this equation, we must first isolate the term containing x which in this problem is -3x. Since 2 is being added to -3x, we subtract 2 from both sides of the equation to isolate the -3x.
On the left, the +2 and -2 cancel out and on the right -7 - 2 is -9 so we have -3x = -9. Now we can finish things off by just dividing both sides of the equation by -3. On the left the -3's cancel and on the right, -9 divided by -3 simplifies to 3. So we have x = 3.
Please help me with polynomials. What is the zeros of x^2 + 2x + 4
Answer:
-1 ± i√3
Step-by-step explanation:
You can rearrange the expression to vertex form:
x^2 +2x +1 +3
(x +1)^2 +3
You want to find the values of x that make this zero:
(x +1)^2 +3 = 0 . . . . . . . set the expression equal to zero
(x +1)^2 = -3 . . . . . . . . . subtract 3 to get the square alone
x +1 = ±√(-3) = ±i√3 . . .take the square root
x = -1 ±i√3 . . . . . . . . . . subtract 1
The zeros are the complex numbers -1+i√3 and -1-i√3.
A candidate took a phone poll of 110 people. Of the 110 people polled, 87 said they would vote for the other person. There are 9570 people in the district. About how many people are going to vote for the other candidate?
A. 7400 people
B. 7569 people
C. 7069 people
D. 7900 people
Option B
7569 number of people are going to vote for the other candidate
Solution:
Given that candidate took a phone poll of 110 people
Of the 110 people polled, 87 said they would vote for the other person
There are 9570 people in the district
You can set up this problem like a proportion
Let "x" be the number of people who would vote for the other candidate
[tex]\frac{87}{110} = \frac{x}{9570}[/tex]
To solve proportions, you cross-multiply. This means you multiply the numerator by the other denominator, and the denominator by the other numerator
[tex]87 \times 9570 = 110 \times x[/tex]
832590 = 110x
x = 7569
Thus 7569 number of people are going to vote for the other candidate
Answer:
Your answer is B. 7569 people hopefully this helps!
The graph of the function y = x2 + 2 is shown. Which equation will shift the graph of the function down 4 units?
A) y = x2 + 6
B) y = x2 - 2
C) y = (x + 4)2 + 2
D) y = (x - 4)2 + 2
Answer: OPTION B.
Step-by-step explanation:
Below are shown some transformations for a function f(x):
1) If [tex]f(x)+k[/tex], the function is shifted up "k" units.
2) If [tex]f(x)-k[/tex], the function is shifted down "k" units.
In this case you have the following function, which you can call f(x):
[tex]y =f(x)= x^2 + 2[/tex]
Based on the transformations explained before, if this function is shifted down 4 units, you know that function obtained g(x) is:
[tex]g(x)= x^2 + 2-4\\\\g(x)= x^2 -2[/tex]
Therefore, the equation that will shift the graph of the function down 4 units, is:
[tex]y= x^2 -2[/tex]
Plz help really fast 4 mins left
Answer:
Options A, B, and D are correct.
Step-by-step explanation:
The given function is p(x) = x³ - 6x² - x + 30
Given that p(5) = 0, p(3) = 0 and p(-2) = 0
Therefore, putting x = 5, or x = 3, or x = -2, the function p(x) vanishes to zero.
Therefore, those are the roots of the given function p(x).
Hence, we can conclude that (x - 5), (x - 3) and (x + 2) are the factors of the function p(x) = x³ - 6x² - x + 30.
So, options A, B, and D are correct. (Answer)
√47 rounded to the hundredth place
Answer:
6.855
Step-by-step explanation:
I don't know how to explain that, you can use a calculator.