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WARRIOR [948]
3 years ago
5

What is the vertex of f(x)=(x-8)(x-2)

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
5 0

Hello!

To find the vertex of f(x), we can simplify this function into standard form.

f(x) = (x - 8)(x - 2)

f(x) = x² + -10x + 16

With the equation in standard form, we use the formula: x = -b/2a. Then, we substitute the value of x into the equation to solve for the y-value.

x = -(-10) / 2(1)

x = 10 / 2

x = 5

Then, we substitute x = 5 into the original equation.

f(x) = (5 - 8)(5 - 2)

f(x) = -3(3)

f(x) = -9

Therefore, the vertex of f(x) is (5, -9).

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If f(x) = 2x + 3 for all values of x, what is the value of f(-3)?​
IrinaK [193]

Answer:

f(-3)= -3

Step-by-step explanation:

We are given the function:

f(x) = 2x+3

and asked to find f(-3). Essentially, we want to find f(x) when x is equal to -3.

Therefore, we can substitute -3 for each x in the function.

f(x)= 2x+3 at x= -3

f(-3)= 2(-3) +3

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction

Multiply 2 and -3.

f(-3) = (2*-3) +3

f(-3)= (-6)+3

Add -6 and 3.

f(-3)= (-6+3)

f(-3)= -3

If f(x)= 2x+3, then<em> f(-3)= -3</em>

7 0
3 years ago
An art teacher has 24 girls and 40 boys at a soccer camp. The campers will be divided into equal-sized groups. Each group will h
tresset_1 [31]
8 groups is what i suppose
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3 years ago
A piece of steel pipe 12.5 feet long weighs 158 pounds. How much does a piece of the same steel pipe 18.75 feet long weigh?
jonny [76]

Answer:

18.75 feet of steel pipe weighs 237 pounds  

explanation:

find out how much 1 feet weighs than u can find out how much 18.75 feet.

by doing it like this  

158÷ 12.5

=12.64

1 feet equals 12.64 pounds

12.64× 18.75

=237 pounds this is the answer

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Answer:

4

Step-by-step explanation:

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3 years ago
One equation in a linear system of two equations is 3x - 2y = 8. the system has an infinite number of solutions. which could be
kumpel [21]

The equation 3x - 2y = 8 and 6x - 4y = 16 are systems of equations with infinite solutions.

A linear system of equations can have (a)unique solutions, (b) infinite number of solutions, or (c) no solution.

For it to have infinite number of solutions, the graph of the equations must intercept with each other at infinite points, leaving the two graphs overlaying each other.

Given the equation, 3x - 2y = 8, the other equation in a linear system to have infinite number of solutions with it must be the exact same line.

To do this, simply multiply the whole equation with a real number.

Example:

Multiplying the whole equation by 2 gives 6x - 4y = 16.

Now, 3x - 2y = 8 and 6x - 4y = 16 are equations in a linear system with infinite number of solutions.

If you want to know more about systems of equations with infinite solutions, visit brainly.com/question/27927692.

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