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3 years ago

27)

Mathematics

1 answer:

tatiyna3 years ago

4 0

Answer:

A, The vertex form of the equation is f(x) = (x + 5)² + 8. The standard form of the equation is f(x) = x² + 10x + 33

Step-by-step explanation:

the vertex form is, as you stated: a(x - h)² + k, where (h,k) is the vertex of the parabola

we are given the vertex (-5,8), so we plug in these values into the equation:

(x + 5)² + 8 (positive 5 on the inside because we are given a -5 and the original equation has a negative on the inside)

to get it into standard form, we can FOIL out (x+5)² to expand the equation, and that gives us:

x² + 10x + 25

now we add 8 to 25 because we cant forget that

x² + 10x + 33 is our equation, meaning the answer is A

You might be interested in

-3/4 + (-3/4) <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%203%7D%7B4%7D%20%20%2B%20%20%5Cfrac%7B%20-%203%7D%7B4%7D%20

nika2105 [10]

Firstly, since these two fractions have the same denominator, add the numerators up: $\frac{-6}{4}$

While it appears that the answer is -6/4, you can further simplify it by dividing the numerator and denominator by 2: $-\frac{6}{4}\div\frac{2}{2}=-\frac{3}{2}$

Your answer is $-\frac{3}{2}$ 

3 0

3 years ago

The graph of f(x)=cos(x) is transformed to a new function, g(x) , by stretching it horizontally by a factor of 4 and shifting it

SpyIntel [72]

The equation of the new function is $g(x)= cos4 x+1$

Explanation:

The Parent function is $f(x)=cos x$

We need to determine the new function g(x) using the transformation by stretching the f(x) horizontally by a factor of 4 and shifting it 1 unit up.

The function transformation formula is given by

$f(x)=a \cos b(x-c)+d$

Where a stretches the function vertically

b compresses or stretches it horizontally,

c shifts the function left or right

d shifts the function up or down

Since, it is given that the function stretches horizontally by a factor of 4 and shifting it 1 unit up.

Hence, $b=4$ and $d=1$

Substituting these values in the formula, we have,

$g(x)=cos4x+1$

Thus, the equation of the new function is $g(x)= cos4 x+1$

8 0

3 years ago

I need help on this one pls help me

vekshin1

What is the question?

6 0

3 years ago

Read 2 more answers

Question 2 of 15. Step 1 of 1

azamat

9514 1404 393

Answer:

A = -68.75p +2906.25

Step-by-step explanation:

We can solve for m and b using the given values of A and p.

1600 = m·19 +b

2150 = m·11 +b

Subtracting the second equation from the first, we have ...

-550 = 8m

m = -550/8 = -68.75

Substituting this into the first equation gives ...

1600 = 19·(-68.75) +b

b = 1600 +1306.25 = 2906.25

The desired linear equation is ...

A = -68.75p +2906.25

Additional comment

Revenue will be maximized at the price that cuts attendance to half the value when the price is 0, about $21.14.

3 0

3 years ago

Same as my other question If one kilogram is 2.2 pounds. How many kilograms is 5.5 pounds?

Dvinal [7]

Answer:

2.5 kilograms

Step-by-step explanation:

Since 2 kilograms would be 4.4 pounds, subtract 4.4 from 5.5.

Then, you'd get 1.1

So, since 1.1 is half of 2.2, you can assume that 1.1 is half of a kilogram.

Then, add half a kilogram with 2 kilograms to get 2.5 kilograms.

Hope this helps!

3 0

3 years ago