For h(x) = -7x + 10, x =1
For r(x) = 4/5x+ 7 , x = -15
Step-by-step explanation:
in order to find the value of x on which the functions will have given values, we will put the functions equal to the given values
So,
<u>h(x) = -7x + 10; h(x) = 3</u>
![h(x) = -7x+10\\3 = -7x+10\\3-10 = -7x+10-10\\-7 = -7x](https://tex.z-dn.net/?f=h%28x%29%20%3D%20-7x%2B10%5C%5C3%20%3D%20-7x%2B10%5C%5C3-10%20%3D%20-7x%2B10-10%5C%5C-7%20%3D%20-7x)
Dividing both sides by -7
![\frac{-7x}{-7} = \frac{-7}{-7}\\x = 1](https://tex.z-dn.net/?f=%5Cfrac%7B-7x%7D%7B-7%7D%20%3D%20%5Cfrac%7B-7%7D%7B-7%7D%5C%5Cx%20%3D%201)
<u>r(x) = 4/5x+7; r(x) = -5</u>
![r(x) = \frac{4}{5}x +7\\-5 = \frac{4}{5}x +7\\-5-7 = \frac{4}{5}x\\-12 = \frac{4}{5}x\\x = -12 * \frac{5}{4}\\x = -15](https://tex.z-dn.net/?f=r%28x%29%20%3D%20%5Cfrac%7B4%7D%7B5%7Dx%20%2B7%5C%5C-5%20%3D%20%5Cfrac%7B4%7D%7B5%7Dx%20%2B7%5C%5C-5-7%20%3D%20%5Cfrac%7B4%7D%7B5%7Dx%5C%5C-12%20%3D%20%5Cfrac%7B4%7D%7B5%7Dx%5C%5Cx%20%3D%20-12%20%2A%20%5Cfrac%7B5%7D%7B4%7D%5C%5Cx%20%3D%20-15)
<u></u>
Keywords: Functions
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Answer:
3.1 inches
Step-by-step explanation:
Area of the cookie =Pi r^2
Pi = 3.14
Diameter = 2inches
Radius r = diameter/2 = 2/2
= 1
Therefore
Area = 3.14 x 1^2
= 3.14 x 1 x 1
= 3.1 inches
The equation 3y = x + 1 would graph a line parallel to 3y = x + 5 ⇒ 1st
Step-by-step explanation:
Parallel lines have same slopes and different y-intercepts
To find which equation would graph a line parallel to 3y = x + 5
1. Put the equation in the form of y = mx + c
2. m is the slope of the line and c is the y-intercept
3. Look for the equation which has the same values of m and different
values of c
∵ 3y = x + 5
- Divide each term of the equation by 3 to put the equation in the
form of y = mx + c
∴ y =
x + ![\frac{5}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B3%7D)
∴ m = ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
∴ c = ![\frac{5}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B3%7D)
The first answer:
∵ 3y = x + 1
- Divide each term of the equation by 3
∴ y =
x + ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
∴ m = ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
∴ c = ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
∵ The two equations have same slope m = ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
∵ The two equations have different y-intercepts c = ![\frac{5}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B3%7D)
and c = ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
∴ 3y = x + 5 and 3y = x + 1 represent two parallel lines
The equation 3y = x + 1 would graph a line parallel to 3y = x + 5
Learn more:
You can learn more about slope of a line in brainly.com/question/12954015
#LearnwithBrainly
<span>alright it would have been easier if u took a pic but i think its a matching prob with choices A thro F:
Water boils at 212 degrees __________
A. Celsius Incorrect
Water boils at 100 degrees _________
B. Kelvin Incorrect
Water boils at 373 _______
C. Thermal Equilibrium Incorrect
Temperature at which all kinetic energy stops
D. Thermal Energy Incorrect
Reached when 2 objects have the same temperature
E. Absolute zero Incorrect
Sum of all kinetic energy and potential energy in an object's particles
F. Fahrenheit
So here are the correct matches:
</span>Water boils at 212 degrees __________F. Fahrenheit
Water boils at 100 degrees _________ A. Celsius
Water boils at 373 _______ B. Kelvin
Temperature at which all kinetic energy stops______E. Absolute zero
Reached when 2 objects have the same temperature ________C. Thermal Equilibrium
Sum of all kinetic energy and potential energy in an object's particles _____ D. Thermal Energy