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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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Two variable inequalities from their graphs<br> Find the inequality represented by the graph
ikadub [295]

Answer:

y ≤ -1/3x + 1

Step-by-step explanation:

The shading is below the line so it is y ≤ and then the slope is -1/3x because when you go down 1 and 3 units to the right, you get another point. And lastly, the y-intercept is 1.


I hope this helps

7 0
3 years ago
Read 2 more answers
Suppose that 12 inches of wire cost 48 cents at the same rate how many inches of wire can be bought for 28 cents
goldenfox [79]

Answer:

7 in

Step-by-step explanation:

If 12 inches of wire can be bought for $0.48, we can set up the following ratio:

\frac{12\text{ in}}{\$0.48}

Then, to determine how many inches of wire can be bought for $0.28, set up equivalent fractions, as such:

\frac{12\text{ in}}{\$0.48}=\frac{x}{\$0.28}

Then, cross-multiply and solve for x:

\$0.48x=(\$0.28)(12)

\$0.48x=\$3.36

x=\frac{\$3.36}{\$0.48}

x=7

3 0
1 year ago
Leah walks to soccer practice on Saturday. She leaves her home and walks 600 meters north. Leah then turns east and continues on
Diano4ka-milaya [45]

Answer:

800m

Step-by-step explanation:

this would be solved using Pythagoras theorem

we are to find the base

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

600² + b² = 100²

b² = 10000 - 3600

b² = 6400

take the square root of both sides

b = 800m

4 0
3 years ago
Plssssssssssssssssssssssssssssssssssssssssssssss
eduard

Answer:

34 hours

Step-by-step explanation:

Lets call M the number of hours that Maddie volunteered. Ryan volunteered 1 + 3×M hours, and altogether they volunteered 45 hours, so:

1 + 3×M + M = 45

1 + 4M = 45 Subtract 1 in both sides

4M = 44 Divide both sides by 4

M = 11 hours

So Maddie volunteered 11 hours, and Ryan volunteered

1 + 3×11 = 34 hours

3 0
2 years ago
The temperature on a winter day increased 37oF. If the beginning temperature was -9oF, what was the temperature after the increa
Rashid [163]
If you would like to know what was the temperature after the increase, you can calculate this using the following step:

the beginning temperature: -9
increased: 37
the temperature after the increase: -9 + 37 = 28oF

The temperature after the increase was 28oF.
5 0
4 years ago
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