Aditi 6. callie 5. 71-11=60
We have that
f(x) = –4x²<span> + 24x + 13
</span>
we know that
The vertex form for a parabola that opens up or down is:
f(x) = a(x - h)^2 + k
in the given equation, <span>a=-4</span><span>, therefore we add zero to the original equation in the form of </span><span>4h</span>²<span>−4h</span>²
f(x) = –4x² + 24x + 4h²−4h² +13
<span>Factor 4 out of the first 3 terms and group them
</span>f(x) = –4*(x² -6x +h²) +4h² +13
<span>We can find the value of h by setting the middle term equal to -2hx
</span>−2hx=−6x
<span>h=3</span><span> and </span><span>4h</span>²<span>=<span>36
</span></span>f(x) = –4*(x² -6x +9) +36 +13
we know that the term (x² -6x +9) is equals to------> (x-3)²
so
f(x) = –4*(x-3)² +49
the answer isf(x) = –4*(x-3)² +49
Answer:
First question: 1.4
Second question: Option 3
Step-by-step explanation:
First question:
You simplify the left equation first,
-0.4 x -3.5 = 1.4 , -0.4 x 2.9 = -1.16
<u>1.4k - 1.16</u>
For this to equal the right equation, the number missing must be 1.4.
Second question:
You simplify the equation given to you first,
1/4 x 8 = 2 , 1/4 x 12 = 3
<u>2x + 3</u>
The option that is equivalent to the answer is option 3; 2x + 3
Answer:
The expression for two times the difference of 4 and a number is

Step-by-step explanation:
To Find:
Write an expression for Eight times the difference of 4 and a number.
Solution:
Let the Unknown number be 'd'
Difference of 4 and d = ( 4 - d )
So One Time Difference of 4 and d = 1× ( 4 - d )
∴ Two Times Difference of 4 and d = 2× ( 4 - d )
∴ Eight Times Difference of 4 and d = 8× ( 4 - d )
The expression for Eight times the difference of 4 and d. will be

The expression for Eight times the difference of 4 and a number is

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