Answer:
[tex]y_1=-\frac{1}{2}\\\\y_2=-\frac{3}{2}[/tex]
Step-by-step explanation:
The Quadratic formula is:
[tex]y=\frac{-b\±\sqrt{b^2-4ac} }{2a}[/tex]
Given the equation [tex]4y^2+ 8y +7 =4[/tex], you need to subtract 4 from both sides:
[tex]4y^2+ 8y +7 -4=4-4[/tex]
[tex]4y^2+ 8y +3 =0[/tex]
Now you can identify that:
[tex]a=4\\b=8\\c=3[/tex]
Then you can substitute these values into the Quadratic formula. Therefore, you get these solutions:
[tex]y=\frac{-8\±\sqrt{8^2-4(4)(3)} }{2(4)}[/tex]
[tex]y_1=-\frac{1}{2}\\\\y_2=-\frac{3}{2}[/tex]
Answer:
The solutions are y=-1/2 and y=-3/2
Step-by-step explanation:
Ok, for this problem we need to use the quadratic formula:
For [tex]ax^{2} +bx+c=0[/tex]
The values of x which are the solutions of the equation:
[tex]x=\frac{-b+-\sqrt{b^{2}-4ac}}{2a}[/tex]
In this case your variable is y, so:
[tex]ay^{2} +by+c=0[/tex]
[tex]y=\frac{-b+-\sqrt{b^{2}-4ac}}{2a}[/tex]
So, a=4, b=8 and c=3
[tex]y=\frac{-(8)+-\sqrt{(8)^{2}-4(4)(3) } }{2(4)}[/tex]
[tex]y=\frac{-(8)+-\sqrt{(16)}}{8}[/tex]
[tex]y=\frac{-8+4}{8}[/tex] and [tex]y=\frac{-8-4}{8}[/tex]
The solutions are
[tex]y=\frac{-1}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex]
Which is the same distance from zero on the number line as 25? 1.) 50 2.) 0 3.) −25 4.) −50
Answer:
-25
Step-by-step explanation:
-25 is the same distance away from zero as is 25.
Answer:
-25
Step-by-step explanation:
this is a question about absolute value. with absolute value, if the number is negative, u simply take off the negative sign. so, ur looking 4 the opposit of 25, which is -25
5 pounds of birdseed cost $10.40. What is the price per ounce ?
$0.13 per ounce. 5 pounds of birdseed cost $10.40, then the price per ounce is $0.13.
The easiest way to solve this problem is using arithmetic operations and unit conversion.
We have to calculate the price per pound. Let's divide $10.40 by 5 pounds.
10.40/5 = 2.08
The price per pound is $2.08
To calculate the price per ounce, with 1 pound = 16 ounces. Let's divide $2.08 by 16 ounces.
2.08/16 = 0.13
The price per ounce is $0.13
An entrepreneur is a _____.
new business that creates a product that raises the standard of living
person who administers career tests
person who takes a risk to create a new product or develop a better way to operate a business
person who completes tax return forms for individuals
An entrepreneur is a someone who organizes and conducts a business, and taking great financial risks.
Answer:
The correct answer would be option C, A person who takes a risk to create a new product or develop a better way to operate a business.
Step-by-step explanation:
An entrepreneur is a person who starts a new business alone. An Entrepreneur is responsible for all the profits and losses of the business. He takes risks in the hope of earning profits. He introduces new products in the market and develops better ways to operate a business. He is solely liable for all his decisions and the resulting profit or losses. Entrepreneurs are usually hard working, strong decision makers, risk takers, and highly innovative people.
Ivan and Tanya share £150 in the ration 4 : 1
work out how much more Ivan gets compared to Tanya.
Add the ratio to get total shares: 4 +1 = 5
Divide the total amount to share by the total shares:
150 / 5 = 30
Now multiply each set of shares by that:
4 x 30 = 120
1 x 30 = 30
120-30 = 90 more
In a population of 300 pigeons, 55% are female. If 40% of the male pigeons are not white, how many male pigeons are white? 135 180 81
Answer:
81
Step-by-step explanation:
Assuming the pigeons are either male or female, the 45% of them that are not female are male. Of those, there are 40% that are not white, so 60% are white. Then the number of white male pigeons is ...
60% of 45% of 300 = 0.60 · 0.45 · 300 = 81
calculate the slope of the line that contains the points (2,-3) and (6,-3)
Answer:
Step-by-step explanation:
y2-y1/x2-x1= -3-(-3)/6-2= 0/4
Rewrite the expression using the distributive property.
8(4x+6y-2z)
A. 12x + 14y - 6z
B. -4x + -2y - 10z
C. 32x + 48y - 16z
D. 0.5x + 0.75y - 0.25z
Answer:
32x + 48y - 16z
Step-by-step explanation:
Evaluate -3x3 - 4x for x = -1. 1 7 -1
Answer:
-5
Step-by-step explanation:
-3 x 3 - 4x
x=-1
-3 x 3 - 4(-1)
-3 x 3 + 4
-9 + 4
-5
Hope This Helps! :D
Answer:
-3-4x
=-3(-1
=-3*(-1)+4
=3+4
=7
Step-by-step explanation:
that should be all you need to know
The box and whisker plot below represents students test scores of Mr. Ali’s history test.
C. Mr. Ali’s wanted more than half of the students to score 75 or greater on the test. Explain how you know that more than half of the students did NOT score greater than 75.
Answer:I know that more than half of the students did not score more than 75 because the median (the middle number) is 68.
Step-by-step explanation:
given that ABCDEF = PQRSTU , solve for z
the answer is z=7 (as 3z-4=17)
Answer:
A. 5
Step-by-step explanation:
a civil engineer has laid a graph down over the stretch of a new road system. a circular rotary has a diamater with endpoints (-3,5) and (5,11) what are the center and raduis of the rotary
[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{11}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{5-3}{2}~~,~~\cfrac{11+5}{2} \right)\implies \left(\cfrac{2}{2}~,~ \cfrac{16}{2}\right)\implies \stackrel{center}{(1,8)} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \stackrel{endpoint}{(\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})}\qquad \stackrel{center}{(\stackrel{x_2}{1}~,~\stackrel{y_2}{8})}\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{[1-(-3)]^2+[8-5]^2}\implies r=\sqrt{(1+3)^2+(8-5)^2} \\\\\\ r=\sqrt{16+9}\implies r=\sqrt{25}\implies r=5[/tex]
Do the midpoint formula. Which will give you (1,8)
Find the probability that the next 1,000 cars purchased in your city will all be the color blue.
Assuming that the probability of a car being colored blue is not equal to 0 or 1, then the most logical answer would be the smallest probability.
P= 0.001
Answer:
0.001
Step-by-step explanation:
gradpoint
8 points! Please help me with this problem, what is sin(theta)?
sin=√17/7
or sin=sqrt(17)/7
Answer:
[tex]\frac{\sqrt{17} }{7}[/tex]
Step-by-step explanation:
Given
cosΘ = [tex]\frac{4\sqrt{2} }{7}[/tex] = [tex]\frac{adjacent}{hypotenuse}[/tex]
Then the hypotenuse of the right triangle is 7 and the adjacent side is 4[tex]\sqrt{2}[/tex]
To find the opposite side use Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
opp² + (4[tex]\sqrt{2}[/tex] )² = 7²
opp² + 32 = 49 ( subtract 32 from both sides )
opp² = 17 ( take the square root of both sides )
opp = [tex]\sqrt{17}[/tex]
Hence
sinΘ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{17} }{7}[/tex]
Two and two fifths divided by one and a half
Answer:
8/5 or 1 3/5
Step-by-step explanation:
2 2/5 = 12/5
1 1/2 = 3/2
Now that we have fractions that are easier to divide, one must understand that the opposite of dividing is multiplying. So if you multiply 12/5 by the reciprocal* of 3/2, which would be 2/3, you would get your answer so...
12 3 12 2 24 8 3
— ÷ — = — × — = — = — or 1 —
5 2 5 3 15 5 5
*the reciprocal is the opposite of the fraction you have. So the denominator would become the numerator, and vise versa.
Can someone please help me with these two
Answer:
For number 14, the answer should be 100 degrees. For number 15, the answer is 80 degrees. For number 16, the answer is 120 degrees.
Step-by-step explanation:
For number 14, if a minor arc is 80 degrees, then the major arc should be 100 degrees to add to make 180 degrees. For number 15, you can see the size of the 70 degrees angle, AB. Because DE is bigger than AB, we can conclude that it is probably 80 degrees. For number 16, if XY, YZ, and ZX are all the same, and a circle always adds up to 160 degrees, then 360 divided by the three arcs is 120.
Information you may find on your paycheck stub may include _____.
pay period, taxable allowances, and dividends
deductions, dividends, and interest
employee benefits, date of hire, and number of dependents
employee ID, vacation time, pay period, and deductions
Answer:
Pay period, taxable allowances, and dividends
Step-by-step explanation:
Answer: Pay period, taxable allowances, and dividends
Explanation:
Paycheck stub is the type of document which include the total paid amount to the employees. It is also known as pay slip and pay stub. The pay stub is basically received by the each pay slip and period.
This pay check stub document basically show the total earnings, deductions and the net pay after the all deductions.
We can also save the paycheck stub in our records so that we can easily access it in future. In case of the employees and employer, the paycheck stub prove that the payment and the income are both consistent.
Given: x - 8 > -3.
Choose the solution set.
1.{x | x R, x > -9}
2.{x | x R, x > -5}
3.{x | x R, x > 5}
4.{x | x R, x > 14}
Answer:
x-8>-3 {x|R, x>5 is right answer
For this case we must find the solutions of the following inequality:
[tex]x-8> -3[/tex]
Adding 8 to both sides of the inequality we have:
[tex]x> -3 + 8\\x> 5[/tex]
Thus, the solutions of the variable "x" are given by all the real numbers greater than 5.
Answer:
Option C
WORTH 34 POINTS! PLEASE HELP ASAP!
Would you describe the association between the age of the car and its resale value as exhibiting a linear association, non-linear association, or no association? Explain your reasoning.
Answer:No assoication
Step-by-step explanation:
because they are not parellell with each other
Answer: No association.
Step-by-step explanation: They aren't parallel with each other. So, it has to be no association.
The president of a certain University receives a salary that is three times the salary of one of the department heads the total of the two salaries is 190000 what is the salary of the president of the University
Answer:
$142500
Step-by-step explanation:
We are given that the resident of a certain University receives a salary that is three times the salary of one of the department heads.
If the sum of the two salaries is $190000, we are to find the salary of the president of the University.
Let [tex]x[/tex] to be the department head's salary, we can write an equation:
[tex]3x+x=190000[/tex]
[tex]4x=190000[/tex]
[tex]x=47500[/tex]
Salary of the president of the University = [tex]3(47500)[/tex] = $142500
Answer:
$142,500
Step-by-step explanation:
Let's say x is the salary of the department head.... so the salary of the president of the university can be described as 3x.
Then, we know the total of the two salaries is 190,000. We can express this as:
3x + x = 190,000
4x = 190,000
x = 47,500
x is for the department head. To get the president's salary, we have to multiply that by 3:
p = 3 (47,500) = 142,500
The salary of the president is then of $142,500.
A triangular pyramid with a volume of 270 cubic centimeters, a base edge of 15 centimeters, and the height of the base as 4 centimeters has a height of____ centimeters.
Answer:
The height of the triangular pyramid is [tex]27\ cm[/tex]
Step-by-step explanation:
we know that
The volume of a triangular pyramid is equal to
[tex]V=\frac{1}{3}BH[/tex]
where
B is the area of the triangular base
H is the height of the pyramid
Find the area of the base B
[tex]B=\frac{1}{2}(15)(4)=30\ cm^{2}[/tex]
we have
[tex]V=270\ cm^{3}[/tex]
substitute and solve for H
[tex]270=\frac{1}{3}(30)H[/tex]
[tex]270=10H[/tex]
[tex]H=270/10=27\ cm[/tex]
2. The 2002 Denali earthquake in Alaska had a Richter scale magnitude of 6.7. The 2003 Rat Islands earthquake in Alaska had a Richter scale magnitude of 7.8.
(SHOW WORK)
Suppose an architect has designed a building strong enough to withstand an earthquake 70 times as intense as the Denali quake and 30 times as intense as the Rat Islands quake. Find which structure is strongest. Explain your finding.
(SHOW WORK)
Answer:
the building strong enough to withstand the denali quake
Step-by-step explanation:
denali quake 6.7 x 70 = 469
the building in denali should be strong enough to withstand an earthquake of that magnitude
rat island quake 7.8 x 30 = 234
the building in the rat islands should be strong enough to withstand an earthquake of that magnitude
What is the volume of the following triangular prism?
A) 252 yd3
B) 126 yd3
C) 42 yd3
D) 84 yd3
Answer:
Option C. [tex]42\ yd^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the triangular prism is equal to
[tex]V=BH[/tex]
where
B is the area of the triangular base
H is the height of the prism
Convert 9 ft to yd
Remember that
1 ft=1/3 yd
9 ft=9*(1/3)=3 yd
Find the area of the base B
[tex]B=\frac{1}{2}(3)(4)=6\ yd^{2}[/tex]
we have
[tex]H=7\ yd[/tex]
substitute the values in the formula
[tex]V=BH[/tex]
[tex]V=(6)(7)=42\ yd^{3}[/tex]
Answer:
The answer is 42 yards! Sry im late. :(
The price of a computer was decreased by 30% to £147. What was the price before the decrease?
A decrease by 30%, means that the price is now 70% of the original price ( 100% - 30% = 70%)
To find the original price divide the new price by the percent of the original price it is now.
147 / 0.70 = 210
The original price was £210
The price before the decrease is £210.
Given that,
The price of a computer was decreased by 30% to £147.Based on the above information, the calculation is as follows:
[tex]= 147 \div 70\%[/tex]
= £210
Therefore we can conclude that the price before the decrease is £210.
Learn more: brainly.com/question/6201432
What is the solution to the following system of equations?
2x + 3y = 3
-3x - 2y = 8
The answer is (-6,5)
Answer:
Your answer will be (-6,5).
Step-by-step explanation:
You multiply the first equation by 3 and the second equation by 2. You will then cancel out the x's and find your y which is 5. You plug y back into your first equation to find your x which is -6. You then have your solution set.
A shipping crate is packed with unit cubes. The length of the crate is 4 units, the width is 2 units and the height is 4 units. Find the volume If the shipping crate
Answer:
32 unit³
Step-by-step explanation:
Length of the crate has been given as 4 units
width of the crate = 2 units
Height of the crate = 4 units
Since the crate has been packed packed with the unit cubes.
Therefore, shape of the crate will be in the form of a rectangular prism.
Volume of the prism = Length × width × height
crate = 4 × 2 × 4
= 32 unit³
Volume of the shipping crate is 32 unit³.
Answer:
32 Units
Step-by-step explanation:
If u do 4x2x4=32 that is your answer all you got to do is x Lxwxh and U will find the volume
Find a quadratic equ
{-2/5 7/5}
{-2/5 7/5}={-2*7/5*5}={-14/25} or if you prefer :
Final answer:
The quadratic equation with roots -2/5 and 7/5 is 25x^2 - 25x - 14 = 0. This is derived by expressing the equation in the form a(x - α)(x - β) = 0 and substituting the given roots.
Explanation:
To find a quadratic equation with roots -2/5 and 7/5, we use the fact that if α and β are the roots of the quadratic equation ax2 + bx + c = 0, then the equation can be written as a(x - α)(x - β) = 0. For roots -2/5 and 7/5, the quadratic equation becomes:
x2 - (sum of roots)x + (product of roots) = 0
x2 - ((-2/5) + (7/5))x + ((-2/5) × (7/5)) = 0
x2 - (5/5)x - (14/25) = 0
x2 - x - 14/25 = 0
Multiplying through by 25 to clear the fraction:
25x2 - 25x - 14 = 0
This is the quadratic equation with the given roots.
What is the solution of 4x 2 36?
Answer:
x= 8.5 or 9, or deciding if u adding or subtracting the problem, x= 9.5 or 10
Step-by-step explanation:
If you're meaning 4x+2=36 or 4x-2=36
-2 -2 +2 +2
4x=34 4x=38
4 4 4 4
x= 8.5 or 9 x= 9.5 or 10
Hope i have helped you! :)
Travis traveled a total distance of 3 1/2miles. He rode the bus 1 1/4mile.He walked 2/3 mile.He rode in a car the remainder of the 3 1/2 miles. How far in miles did he ride in a car?
Answer: 1 5/12
Step-by-step explanation: You need to find a common denominator 3 and 4 are the denominators you can do 3 times 4 is 12 and 4 times 3 is 12, but whatever you do to the denominator needs to be done to the numerator so 2 times 4 is 8 and 1 times 4 is 4 then you have the fractions 8/12 and 3/12 then you just subtract and you get 1 5/12.
*Hard to explain*
15. The temperature C, in degrees, that is equivalent to a temperature of F degrees Fahrenheit is given by graph of this equation shows the temperature in Celsius for the corresponding temperatures in Fahrenheit.
a. Explain how linear equations can be used in temperature conversion.
b. Explain how could you could use the conversion graph to find the normal body temperature in degrees Celsius, which is 98.6°F.
Answer:
A. How can the equation be used in temperature conversion?
You take the conversion equation C = (5/9) (F - 32) and you replace the F by the value of Fahrenheit degrees... then solve the calculations to get the degrees in Celsius.
For example, if you have 80°F to convert in °C:
C = (5/9) (80 - 32) = (5/9) (48) = 26.66 °C
B. How can you use the graph to find the body temp in C?
Using the graph will give a very imprecise measure due the scale of the graph.
But you would have to find 98.6 on the axis of X (it represents the °F), then go upwards until you find the line....
Then report that position on the line on the Y-axis (representing the °C) to get your measure.
Answer:
For A: The linear equation is [tex]C=\frac{5}{9}F-\frac{32}{9}[/tex]
For B: The temperature of normal body in degree Celsius is 37° C.
Explanation:
For A:Linear equations are defined as the equations in which the highest power of a variable is '1'. The general equation for a linear equation is:
[tex]y=mx+c[/tex]
where,
y = Y-coordinate
m = slope of the line
x = X - coordinate
c = intercept on y-axis
For the given equation:
[tex]C=\frac{5}{9}(F-32)[/tex]
The linear equation representation for the given equation is:
[tex]C=\frac{5}{9}F-\frac{32}{9}[/tex]
For B:We are given a value of temperature in degree Fahrenheit. To calculate its value in degree Celsius, we use the equation above.
Putting value of F = 98.6 in above equation, we get:
[tex]C=(\frac{5}{9}\times 98.6)-\frac{32}{9}\\\\C=37[/tex]
Hence, the temperature of normal body in degree Celsius is 37° C.
Solve the system of equations below.
x − y = 5
2x − 3y = 4
A (5, 0)
B (7, 2)
C (9, 4)
D (11, 6)
To solve the system of equations x − y = 5 and 2x − 3y = 4, we can use the method of substitution or elimination. By substituting the value of x from the first equation into the second equation, we can find the value of y. Then, substitute the value of y back into the first equation to find the value of x. The solution to the system of equations is (11, 6).
Explanation:To solve the system of equations x − y = 5 and 2x − 3y = 4, we can use the method of substitution or elimination. Let's use the method of substitution:
From the first equation, we can rearrange it to x = y + 5. Now substitute this value of x into the second equation:
2(y + 5) − 3y = 4
Simplify and solve for y:
2y + 10 - 3y = 4
-y + 10 = 4
-y = -6
y = 6
Now substitute this value of y back into the first equation to find x:
x − 6 = 5
x = 11
Therefore, the solution to the system of equations is (11, 6). So, the correct answer is option D.