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3 years ago

7 divided by 2 = 7/2

Mathematics

1 answer:

Alla [95]3 years ago

7 0

Yes, the answer is right as an equation

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The vertex of this parabola is at (2,-1) when the y value is 0 and then x value is 5 what is the coefficient of the squared term

Darina [25.2K]

$\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \stackrel{\textit{we'll use this one}}{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{2}{ h},\stackrel{-1}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=2\\ k=-1 \end{cases}\implies y=a(x-2)^2-1 \\\\\\ \textit{we also know that } \begin{cases} y=0\\ x=5 \end{cases}\implies 0=a(5-2)^2-1\implies 1=9a \\\\\\ \cfrac{1}{9}=a\qquad therefore\qquad \boxed{y=\cfrac{1}{9}(x-2)^2-1}$

now, let's expand the squared term to get the standard form of the quadratic.

$\bf y=\cfrac{1}{9}(x-2)^2-1\implies y=\cfrac{1}{9}(x^2-4x+4)-1 \\\\\\ y=\cfrac{1}{9}x^2-\cfrac{4}{9}x+\cfrac{4}{9}-1\implies \stackrel{its~coefficient}{y=\stackrel{\downarrow }{\cfrac{1}{9}}x^2-\cfrac{4}{9}x-\cfrac{5}{9}}$

4 0

3 years ago

Read 2 more answers

What is a rational number? A.9 B.15 C.28 D.25

Darina [25.2K]

The answer is..........
A. 9

4 0

3 years ago

Read 2 more answers

Consider the following Function: F(x)= 7x-9 If the output is 26, what is the input?

Wewaii [24]

<h2>Answer:-</h2>

★ Input of the given function F(x) is 5.

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<h3>• Given:-</h3>

✯ F(x) = 7x - 9

✯ Output = 26

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<h3>• Solution:-</h3>

According to the question the output is 26.

Hence, the above data can be written in an equation form.

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➪ F(x) = 7x - 9 = 26

➪ 7x = 26 + 9

➪ 7x = 35

➪ $\sf x = \dfrac{35}{7}$

➪ $\bold\red{x = 5}$

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Therefore, F(x) = 5

6 0

3 years ago

Jackson is 5 years old. His brother Micah is 20 years older than him. Which equation represents Micah's age in comparison with J

mina [271]

Answer:

M=5+20

Step-by-step explanation:

I’m using M for representing Micah’s age.

This would represent Micah’s age because it says that Micah is 20 years older than Jackson, who is 5. Therefore, you would just need to add 5 and 20 together. Micah is 25 years old.

8 0

3 years ago

HElp Me PLaesssssssssssssssssssssssssssss

Nataliya [291]

I think it is the first one

8 0

3 years ago