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4 years ago

F(x) = (x - 2)² – 9 What is the vertex

Mathematics

1 answer:

lisabon 2012 [21]4 years ago

5 0

(2,-9) vertex form is y =a(x-h)+k, and (h,k) is the vertex.

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If g(x)=7x²−4x−3 and h(x)=5x²−12x, find (h∘g)(1)<br><br><br>FIRST BEST ANSWER BRAINLIEST

AURORKA [14]

Answer: See below

Step-by-step explanation:

$h\:\circ \:g=h\left(g\left(x\right)\right)$

$=5\left(7x^2-4x-3\right)^2-12\left(7x^2-4x-3\right)$

$=5\left(7x^2-4x-3\right)\left(7x^2-4x-3\right)-12\left(7x^2-4x-3\right)$

$=245x^4-280x^3-130x^2+120x+45-84x^2+48x+36$

Simplify:

$=245x^4-280x^3-214x^2+168x+81$

6 0

3 years ago

3.3 by 2.5 + 5.7 by 2.5

den301095 [7]

Answer:

22.5

Step-by-step explanation:

Using PEMDAS, we know that for expressions such as this, we're supposed to multiply before we add. This means that it should look something like this: (3.3 x 2.5) + (5.7 x 2.5). When you solve the multiplication first, you get 8.25 + 14.25. Solve, and you get 22.5. This problem can be solved using any basic calculator, or scratch paper!

5 0

3 years ago

Noah is running a portion of a marathon at a constant speed of 6 mph. Complete the table to predict how long it would take him t

ycow [4]

Answer:

$\begin{array}{cc}\text{Time}&\text{Distance}\\ \\1&6\\ \\\dfrac{1}{2}&3\\ \\1\dfrac{1}{3}&8\\ \\1\dfrac{1}{2}&9\\ \\9&54\\ \\4\dfrac{1}{2}&27\end{array}$

Step-by-step explanation:

Noah's running speed = 6 mph.

Use formula $D=v\cdot t,$ where

D is the distance,

v is the speed,

t is the time.

If $t=1$ hour, then $D=6\cdot 1=6$ miles.

If $t=\dfrac{1}{2}$ hour, then $D=6\cdot \dfrac{1}{2}=3$ miles.

If $t=1\dfrac{1}{3}$ hours, then $D=6\cdot 1\dfrac{1}{3}=6\cdot \dfrac{4}{3}=8$ miles.

If $t=1\dfrac{1}{2}$ hours, then $D=6\cdot 1\dfrac{1}{2}=6\cdot \dfrac{3}{2}=9$ miles.

If $t=9$ hours, then $D=6\cdot 9=54$ miles.

If $t=4\dfrac{1}{2}$ hours, then $D=6\cdot 4\dfrac{1}{2}=6\cdot \dfrac{9}{2}=27$ miles.

So, the table is

$\begin{array}{cc}\text{Time}&\text{Distance}\\ \\1&6\\ \\\dfrac{1}{2}&3\\ \\1\dfrac{1}{3}&8\\ \\1\dfrac{1}{2}&9\\ \\9&54\\ \\4\dfrac{1}{2}&27\end{array}$

3 0

4 years ago

Read 2 more answers

Based on the bar graph shown below, the 25th percentile is located in which interval?

STatiana [176]

0-5 because 25th percentile can also be known as the 1st quartile or the first 25% of it. so since the medium is 8 then it would be the first interval or 0-5.

if i am wrong please let me know.

4 0

3 years ago

Read 2 more answers

Can someone help me on #7 and #9? It is to find x and y in a parallelogram. Thanks! Will give 12 points.

Mice21 [21]

Number 7
3x-40 = x
3x-x = 40
2x = 40
x= 20

v^2 = x+30
v^2= 20+30 = 50
v= radical 50 = 5 radical 2

3 0

3 years ago