9514 1404 393
Answer:
8x -3y = 33
Step-by-step explanation:
Multiply by 3 to eliminate the fraction. Then rearrange to standard form.
y +7 = 2/3(4x -6) . . . . . . . given
3(y +7) = 2(4x -6) . . . . . . . multiply by 3
3y +21 = 8x -12 . . . . . . . . eliminate parentheses
33 = 8x -3y . . . . . . . . . . add 12-3y to both sides
8x -3y = 33 . . . . . . . . . swap sides to put into standard form
_____
Standard form has mutually prime integer coefficients, the leading one being positive.
The answer is (f o g)(x) = 2x^2 - 13
In order to find a composite function, you take the first letter (in this case f) and use that equation. You then remove the variable and put in the second letter (g).
f(x) = 2x + 1 ----> Remove variable.
f(x) = 2( ) + 1 ----> Insert g(x)
(f o g)(x) = 2(x^2 - 7) + 1 ----> Distribute
(f o g)(x) = 2x^2 - 14 + 1 ----> Simplify
(f o g)(x) = 2x^2 - 13
Answer:
ITS 1, 2, 3, 4, 5 HOW MANY DOGS ARE IN MY BASEMENT WATCHING DORA THE EXPLORA
Step-by-step explanation:
The scale factor of dilation from AB to EF is 0.25
<h3>How to determine the scale factor of dilation?</h3>
The given parameters are:
- EFJL is dilation of ABIK
- AB has a length of 12
- EF has a length of 3
From the above parameters, side lengths AB and EF are corresponding sides
This means that:
The scale factor of dilation (k) is
k = AB/EF
So, we have
k = 3/12
Evaluate
k = 0.25
Hence, the scale factor of dilation from AB to EF is 0.25
Read more about scale factors at:
brainly.com/question/15891755
#SPJ1
Hello!
"Increase" means to add. We must find out what 45% of 140 fluid ounces is, and to do that we must first convert the percentage to a decimal and then multiply it by the amount of fluid ounces.
I know, that's probably a lot to take in! :D
45% ÷ 100 = 0.45 as a decimal
0.45 × 140 = 63
Add this to the amount of fluid ounces:
140 + 63 = 203
Final Answer:
203 fluid ounces.
