MATHEMATICS HIGH SCHOOL

Which of the quadratic functions listed is written in vertex form?

Answers

Answer 1

Answer:

Answer:

A is the best answer.

Step-by-step explanation:

A is. It can be written as y [ or v] = -2(x + 3)^2 + 7 which is the pure form of a vertex equation.

C doesn't work since that is a linear function. Nothing is squared.

D doesn't work. That is just the way an ordinary quadratic is written. (Standard form).

B doesn't work. The quadratic is written in factored form.

Answer 2

Answer:

ANSWER

$y - 7= - 2 {(x + 3)}^(2)$

EXPLANATION

The vertex form of a quadratic function is given by:

$y = a {(x - h)}^(2) + k$

From the given options, the first choice is

$y - 7= - 2 {(x + 3)}^(2)$

$y=- 2 {(x + 3)}^(2) + 7$

where a=-2, h=-3, and k=7.

Therefore the vertex is (-3,7)

Hence the first choice is the correct option.

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What is the result of isolating x^2 in the equation below?10x^2-36y^2=100

A. x^2=100+36/10 y^2
B. x^2=10+36/10 y^2
C. x^2=100+36 y^2
D. x^2=10+6/10 y^2

Answers

The result of isolating x² in the quadratic equation 10x² - 36y² = 100 will be x² = 10 + (36 / 10)y²

What is a quadratic equation?

A quadratic equation is an equation that has one or multiple variables with the highest power of the variable is 2.

The given quadratic equation is:

10x² - 36y² = 100

⇒ 10x² = 100 + 36y²

⇒ x² = (100 + 36y²) / 10

⇒ x² = 10 + (36 / 10)y²

Learn more about a quadratic equation here: brainly.com/question/2506855

SPJ2

B. you add 36y^2 to either side, giving you 10x^2=100+36y^2, and then divide the entire equation by 10, leaving you with x^2=10+36/10 y^2

Two numbers have a product of 48 and a sum of 19 what are the numbers and how do you know

Answers

The numbers are 3 and 16. If you multiply these two numbers you get 48 and if you add them you will get 19.

Answer:

Write in Standard Form

Solve the Function Operation

Simplify

Write in y=mx+b Form

Evaluate the Function

Factor

Graph

Find the Equation with Real Coefficients

Add

Find the Exact Value

Find the Value of the Constant

Find the GCF

Step-by-step explanation:

Help me fam I need help

Answers

1). The 2 angles add up to 180 degrees. 2). And 3). The 2 angles are equal.

Solve this problem please. Step by Step
8c+5=4c-11

Answers

You said that    8c + 5 = 4c - 11

Subtract 4c from each side: 4c + 5 =   - 11

Subtract 5 from each side: 4c =   - 16

Divide each side by 4 : c    =      - 4

First you combine like terms: 8c-4c
Your equation now: 4c-5=-11
Next you will add 5 to both sides
Your equation now: 4c = -16
Then you will divided 4 from both side
Your equation now: c=-4
Hope this helps!

What needs to be done before you try to solve the equation 2x2 = -6+ 8a?

Answers

Answer: You need to separate the variable (A) from the rest of the equation.

Step-by-step explanation:

Simplify and move everything except the variable
2x2 = -6 + 8a >>> 4 = -6 + 8a >>> 10 = 8a
Then, divide both sides by the amount of A (8)
10 / 8 = 1.25
8 / 8 = 1
1.25 = A

Taylor and Abby shared a $55 cash prize in the ratio 2:3. How much money did Taylor get?

Answers

the 2 to 3 ratio means there was 5 equal shares. because 2 plus 3 is 5

so if you divide 5 into 55 you get 11. each share is 11.

then multiply 11 by or 3 (depending on the person) in this case 2 because we want to know about Taylor

2 times 11 is 22.

Taylor got 22 dollars