Answer:
x^2+2x+2
Step-by-step explanation:
(x+1)(x+1) or (x+1)^2
x = -1
Answer:
Step-by-step explanation:
x²+8x+15 is the quadratic equation and it can be solved by factoring. By factoring the answer will be (x+3) (x+5) and if it is expanded, the answer will be x²+8x+15. First, you should factorize the equation. Then, find the two numbers that if they are added together the sum will 8 and if they are multiplied the product is 15.
Hope this helps!
find the volume of 2 , 10 1/5 , and 4 1/4
Answer:
86.7
Step-by-step explanation:
2 x 10.2 x 4.25 = 86.7
To find the volume you need to multiply all these 3 values.
After multiplying it all that amount will be the answer.
The volume of the given dimensions is [tex]\(86.7\)[/tex] cubic units.
To find the volume, we multiply the three given dimensions together. The dimensions given are [tex]\(2\)[/tex], [tex]\(10 \frac{1}{5}\)[/tex], and [tex]\(4 \frac{1}{4}\)[/tex].
First, we need to convert the mixed numbers to improper fractions:
1. Convert [tex]\(10 \frac{1}{5}\)[/tex] to an improper fraction:
[tex]\[ 10 \frac{1}{5} = 10 + \frac{1}{5} = \frac{50}{5} + \frac{1}{5} = \frac{51}{5} \][/tex]
2. Convert [tex]\(4 \frac{1}{4}\)[/tex] to an improper fraction:
[tex]\[ 4 \frac{1}{4} = 4 + \frac{1}{4} = \frac{16}{4} + \frac{1}{4} = \frac{17}{4} \][/tex]
Next, multiply the three dimensions together.
First, convert the whole number [tex]\(2\)[/tex] to a fraction:
[tex]\[ 2 = \frac{2}{1} \][/tex]
Now, multiply the fractions:
[tex]\[ \frac{2}{1} \times \frac{51}{5} \times \frac{17}{4} \][/tex]
[tex]\[ \frac{2 \times 51}{1 \times 5} = \frac{102}{5} \][/tex]
[tex]\[ \frac{102 \times 17}{5 \times 4} = \frac{1734}{20} \][/tex]
[tex]\[ \frac{1734}{20} = 86.7 \][/tex]
H/6 -1= -3 solve for h
Answer:
h = - 12
Step-by-step explanation:
Isolate the term in h by adding 1 to both sides of the equation
[tex]\frac{h}{6}[/tex] = - 2 ( multiply both sides by 6 )
h = - 12
If the ramp will be 3 feet above the ground and have a 4 foot Base , How long will the ramp be?
Answer:
5 feet long
Step-by-step explanation:
According to the Pythagorean Theorem, a^2 + b^2 = c^2 where "a" and "b" are the two legs of the right triangle and "c" is the hypotenuse.
We are trying to find the part that is at an angle, which is "c". So if we know "a" is "3 and "b" is 4, we can plug the values into the equation.
3^2 + 4^2 = c^2 plug in the values
9 + 16 = c^2 simply the two squared values
25 = c^2 add the two values
5 = c take the square root of both sides
c = 5 switch the values
constant of vairation for
y=4x
Answer:
Answer:
y=−4x is a direct variation with the constant of variation +(−4)
Any equation in (or modifiable into) the form y = a . x
is a direct variation with constant a
Step-by-step explanation:
Subtract 8 1/2 - 2 2/3 = ?
Answer: 2 2/3 or 2.6 repeating
Step-by-step explanation:
- Reduce the numbers With the greatest common divisor 2
- Calculate product
- Calculate the difference
- YOUR FINAL ANSWER
Hope I was able to satisfy your needs
First you make the fractions have a common denominator. In this case it would be 6.
Then you have 8 3/6 - 2 4/6.
Because the number you are subtracting is greater than what you are subtracting from, you can turn the fraction into an improper fraction.
8 3/6 = 7 9/6
9/6 - 4/6 = 5/6
Then subtract the whole numbers.
7-2 = 5
Answer: 5 5/6
What is the distance from (-5,1) to (3,0)
Sqrt63, sqrt65 sqry67 sqrt69?
A jogger runs 4 miles on Monday, 5 miles on Tuesday, 3 miles on Wednesday, and 5 miles on Thursday. He doesn’t run on Friday. How many miles did he run in all
[tex]\huge\boxed{\text{$17$ miles}}[/tex]
This is a fairly simple problem. Just add all of the miles together:
[tex]\begin{array}{c}4+5+3+5\\9+8\\\boxed{17}\end{array}[/tex]
Answer:
17 miles in all.
Step-by-step explanation:
4+5+3+5=17
Loren and Julie have different part-time jobs after school. They are both paid at a constant rate of dollars per hour. The tables bellow show Loren and Julie’s total income for work given amount of time.
How much money would Julie earn for working 16 hours?
Julie works 1/12 hours/dollars. Write one or two-sentence explanation of what this rate means use this rate to find how long it takes for Julie to earn $228
Julie would earn $12/h×16h=$192
This rate means that for each hour she works, she gets $12.
The general formula for calculating these types of problems is:
m = r × t,
where m marks the total amount of money, r marks the rate and t marks the time.
To find the time when
m = $228
r = $12/h,
t = m ÷ t = 228 ÷ 12 = 19 hours.
Julie's income for 16 hours is $192. Julie takes only 24 hours to earn $288. The rate is $12 for each hour.
What are ratio and proportion?A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Given
Loren and Julie have different part-time jobs after school.
They are both paid at a constant rate of dollars per hour.
The income of Julie is $36 in 3 hours.
For 1 hour, Julie earns $12.
Thus the rate of Julie is $12 per hour.
For the 16 hours, Julie's income will be.
Julie's income for 16 hours = 12 x 16
Julie's income for 16 hours = $192
Julie's income for 16 hours is $192.
Julie takes time to earn $228 will be
[tex]\rm Time = \dfrac{288}{12}\\\\Time = 24[/tex]
Thus, Julie takes only 24 hours to earn $288.
More about the ratio and the proportion link is given below.
https://brainly.com/question/1025229
can u guys please help me?
Answer:
9m
Step-by-step explanation:
The surface area of a cube is given by
SA = 6s^2 where s is the side length
We know the surface area is 486 and the side length is z
486 = 6z^2
Divide each side by 6
486/6 = 6z^2/6
81 = z^2
Take the square root of each side
sqrt(81) = sqrt(z^2)
9 = z
Each side has a length of 9m
Select the best possible first step to solving the system by first eliminating the y variable. 4x − 5y = 4 3x 2y = −20 (1 point) Multiply the first equation by −2, and multiply the second equation by 5. Multiply the first equation by 2, and multiply the second equation by −5. Multiply the first equation by 2, and multiply the second equation by 5. None of the above
Answer:
C) Multiply the first equation by 2, and multiply the second equation by 5.
Step-by-step explanation:
Given equations are :
4x − 5y = 4
and
3x+2y = −20
Now we need to select the best possible first step to solving the system by first eliminating the y variable. Where given choices of the possible steps are:
A) Multiply the first equation by −2, and multiply the second equation by 5.
B) Multiply the first equation by 2, and multiply the second equation by −5.
C) Multiply the first equation by 2, and multiply the second equation by 5.
D) None of the above
Since we need to eliminate y, then we must make coefficients of y equal in both equations. Easiest way is to multiply coefficient of first equation into 2nd equation and multiply coefficient of y from 2nd equation into first equation. Make sure that their sign is oppsite.
Hence correct choice is C)Multiply the first equation by 2, and multiply the second equation by 5.
identify a transformation of the function f(x) = √x by observing the equation of the function g(x) = √x-2
[tex]f(x)=\sqrt{x}[/tex] is the Square Root Function. These are the characteristics of the graph of the square root function:
The domain of the function is the set of all non negative real numbers. The range of the function is the set of all non negative real numbers. The graph has an intercept at [tex](0,0)[/tex]. The graph is increasing on the interval [tex](0, \infty)[/tex].Since the function [tex]g(x)=\sqrt{x}-2[/tex], then this stands for the form:
[tex]g(x)=f(x)-c[/tex]. This form tells us that the graph of f has been shifted c units downward where the value c = 2 in this problem. The graphs of both functions are shown below. The red one is [tex]f(x)[/tex] while the blue one is [tex]g(x)[/tex]
Answer:
The transfomation made is a vertical translation 2 units downwards.Step-by-step explanation:
The parent function is
[tex]f(x)=\sqrt{x}[/tex]
Remember that a parent function is the simplest function of its type, like this case the function [tex]f(x)[/tex] is the simplest form of radical functions.
The transformed function is
[tex]g(x)=\sqrt{x}-2[/tex]
Notice that the difference between these two functions is that [tex]g(x)[/tex] has 2 units less on the vertical or dependent variable, such transformation indicates a vertical translation downwards.
Therefore, the transfomation made is a vertical translation 2 units downwards.
Evaluate 7x - (2x)2 + x 3 for x = -2.
[tex]7x - (2x)2 + {x}^{3} [/tex]
[tex]7x - 4x + {x}^{3} [/tex]
[tex]3x + {x}^{3} [/tex]
[tex]3( - 2) + { (- 2)}^{3} [/tex]
[tex] - 6 + - 8[/tex]
[tex] - 14[/tex]
(5*100)+(5*40)+(5*3)
Answer:
the answer is 715
Step-by-step explanation:
Answer:
715
Step-by-step explanation:
5*100
5*40
5*3
then add all together
Make sure to use order of operations
What is the difference between 30.1 and 16.35
Plz help :D
Answer:
Step-by-step explanation:
To find the difference between the two given numbers, we will subtract the smaller number from the greater number.
[tex]30.1-16.35[/tex] = 13.75
So, the difference is 13.75
Find the area of a parallelogram with base (b) and height (h)
B= 74 cm
H=14.8 cm
A) 88.8 cm2
B)177.6 cm2
C)1,095.2 cm2
D)2,242.6 cm2
Thanks
What is the coefficient of the fifth term in (a+b)^9
Answer:
If you expand this using pascals triangle you will see that the fifth term is 126a^5b^4
the coefficient is the number 126
Answer:
The coefficient of the fifth term is 126.
Step-by-step explanation:
The question implies that after the expansion of [tex](a+b)^{9}[/tex], what would be the coefficient of the fifth term. This long expansion can be easily done by the application of the Pascal principle of expansion.
Thus,
[tex](a+b)^{9}[/tex] = [tex]a^{9}[/tex] + [tex]9a^{8}b[/tex] + [tex]36a^{7} b^{2}[/tex] + [tex]84a^{6}b^{3}[/tex] + [tex]126a^{5}b^{4}[/tex] + [tex]126a^{4} b^{5}[/tex] + [tex]84a^{3} b^{6}[/tex] + [tex]36a^{2} b^{7}[/tex] + [tex]9ab^{8}[/tex] + [tex]b^{9}[/tex]
So, from this expansion, the fifth term is [tex]126a^{5}b^{4}[/tex]. And its coefficient is 126.
PLZ HELP
Robert makes a monthly budget. His monthly
allowance is $40. He makes $25 each month from
mowing the neighbor’s yard. Robert’s monthly
expenses are $75. How much does he need to earn
from babysitting to balance his budget?
A $75
B $10
C $50
D $35
➷ 40 + 25 = 65
75 - 65 = 10
The correct answer would be B. $10
✽➶ Hope This Helps You!
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what is 0.5357142857 in degrees
Answer:
Do you mean like a "degree" of a circle?
Step-by-step explanation:
Answer:
Are you talking about the degrees of a circle?
Step-by-step explanation:
A jewelry store is having a going-out-of-business sale. All merchandise is marked 40% off the regular price. The regular price of a watch is $59.95 what is the amount of the discount and the sale price
Answer:
$35.97
Step-by-step explanation:
the regular price is 59.95
40% discount so
let's say the price now is x and i am gonna do fractions
x/59.95 = 40%/100
100 x X = 100x
59.95 x 40 = 2398
i divide 2398 by 100 which equal 23.98
40% is 23.98 and then i do 59.95 - 23.96 = 35.97
DONE!
The discount amount on the watch is $23.98 and the sale price after applying the 40% discount off the regular price of $59.95 is $35.97.
When a jewelry store is having a going-out-of-business sale, and all merchandise is marked 40% off the regular price, we can calculate the amount of the discount and the sale price using percentage formulas. For example, if a watch has a regular price of $59.95, we multiply this price by 40% (or 0.40) to find the discount amount.
To find the discount amount: $59.95 times 0.40 = $23.98
Next, to find the sale price, we subtract the discount amount from the regular price.
To find the sale price: $59.95 - $23.98 = $35.97
Therefore, the discount amount is $23.98, and the sale price of the watch is $35.97.
The distance between points A and D is how many units ?
The distance is 6 units.
On the x axis, the distance between A and D is 2 -4 or -4 +2 = -6. Mind you, distance is never negative so always use the absolute value, which is 6.
Ans = 6 units
Happy to help. Marking me the brainpower would really be appreciated.
Help o need this before Monday. Please give the letter a b c or d:)
Answer:
The answer is A
Step-by-step explanation:
A town was considering a new tax to fund a recycling program residents were randomly surveyed about whether they supported the tax the results are shown below in the conditional relative frequency table by column.
C) A resident in the group who supports the tax is likely to be male
The correct choice is:
A resident in the group who supports the tax is likely to be male.
Step-by-step explanation:The table is given by:
Support Against Total
Female 20% 74% 54%
Male 80% 27% 44%
Total 100% 100% 100%
Based on the table we observe that the of the people who supported the tax most of them are males.
Since the percent of males who supported tax are 80% which is more than the females who supported tax i.e. 20%.
Hence, the answer is: last option.
Which exponential function goes through the points (1, 8) and (4, 64)? f(x) = 4(2)x f(x) = 2(4)x f(x) = 4(2)−x f(x) = 2(4)−x
Answer:
y = 4(2^x)
Step-by-step explanation:
To write the exponential values, compare the y values. Notice they are multiples of 8 and they are increasing. This means the base is likely 2 or 4 since each of these numbers has the same multiples. Our options also only include base 2 and 4.
Try 4^1 = 4 and 4^4 = 256.
Try 2^1 = 2 and 2^4 = 16.
None of these give the exact values in the points. This means there is an initial value multiplied to them as well.
When x = 1 and the base is 4, the value is too small. But when x = 4, the value is too large. This cannot be reconciled.
When x = 1 and x = 4 for the base 2, both values are too small and could be multiplied by the same number to get the right values.
2*4 = 8
16*4 = 64
The initial value is 4 so the function is [tex]y = 4(2^x)[/tex]
A number of students go on a coach trip. The cost of hiring the coach is £180. The school pays 80% of this cost. The students pay the rest of the cost. Each students pays £1.50. Work out the number of students on the coach trip.
Answer:
24
Step-by-step explanation:
the school will pay: 180 × (80÷100)
= 144
the remaining amount is: 180 - 144
= 36
if each student is paying 1.50 then no. of students is equal to: 36÷1.5
= 24
plz help!! 2 questions 15 points
Question 1: Both are solutions.
Question 2: (4, 0)
Here ya go. This highlights the solution for you along with the work. Let me know if you have questions.
An 8-car Ferris wheel is shaped like a regular octagon. Does the Ferris wheel have rotational symmetry?
Answer:
yes
Step-by-step explanation:
plz give me brainliestttt
Please solve this quick 8n+7=31
Hello there!
To find the value of n, work to isolate it from all other terms in the equation.
8n+7=31 - Start by subtracting 7 from both sides. 8n + 7 - 7 = 31 - 7
8n = 24 Next, divide both sides by 8 to finish isolating n. 8n÷8 = 24÷8
n = 3
This is your final answer.
I hope this was helpful and have a great rest of your day!
:)
For this case we must solve the following equation of first degree:
[tex]8n + 7 = 31[/tex]
We subtract "7" on both sides of the equation:
[tex]8n + 7-7 = 31-7\\8n = 24[/tex]
We divide between "8" on both sides of the equation:
[tex]\frac {8n} {8} = \frac {24} {8}\\n = 3[/tex]
Thus, the value of the variable n is 3.
Answer:
[tex]n = 3[/tex]
Which expression is equivalent to (–3y – x) – (5y – 8x)?
I hope this helps.
-8y+7x
Answer:
[tex]7x-8y[/tex]
Step-by-step explanation:
We have been given an expression [tex](-3y-x)-(5y-8x)[/tex]. We are supposed to simplify our given expression.
Using distributive property [tex]a(b+c)=ab+ac[/tex], we will get:
[tex]-3y-x-1*5y-1*-8x[/tex]
[tex]-3y-x-5y+8x[/tex]
Now, let us combine like terms.
[tex]-x+8x-5y-3y[/tex]
[tex]7x-8y[/tex]
Therefore, the simplified form of our given expression would be [tex]7x-8y[/tex].
A line passes through the points (5,20) and ( 7 , 22). Write a linear function rule in terms of x and y for this line.
Answer:
y = x + 15Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
(x₁, y₁) - point
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (5, 20) and (7, 22). Substitute:
[tex]m=\dfrac{22-20}{7-5}=\dfrac{2}{2}=1[/tex]
[tex]y-20=1(x-5)[/tex]
[tex]y-20=x-5[/tex] add 20 to both sides
[tex]y=x+15[/tex]
Brooke paints the outsides of the square walls and triangular ceilings of her treehouse. What area does she paint?
Answer:
Broke paints [tex]216\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The area of the outsides of the square walls and triangular ceilings of her tree house is equal to the area of four squares and four triangles
so
[tex]A=4[(6)^{2} +\frac{1}{2}(6)(6)]\\ \\A=4[36+18]\\ \\A=216\ ft^{2}[/tex]
The surface area of the square walls and triangular ceiling she painted is 216 ft²
How to find the surface area of the painted region?
The surface area of the painted region can be found as follows:
area of the square = l²
where
l = side lengthTherefore,
l = 6 ft
area of the square = 6² = 36 ft²
Area of the triangular region = 1 / 2 bh
where
b = baseh = heightTherefore,
area of the triangular region = 1 / 2 × 6 × 6 = 36 / 2 = 18 ft²
Therefore,
area of the painted region = 18(4) + 36(4) = 144 + 72 = 216 ft²
learn more on surface area here: https://brainly.com/question/23585317
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