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Ksju [112]
3 years ago
5

WILL GIVE BRAINLIEST! Form quadratic functions given the following information: f(x)>0 if and only if 1

Mathematics
2 answers:
Leni [432]3 years ago
7 0

Answer:

f(x) = -2(x-3)^2+8

Step-by-step explanation:

Using vertex form: f(x)= a(x-h)^2 +k

if the maximum is 8 then k=8

h = 3 --> the midpoint of 1 and 5

Fill in the equation:

f(x) = a(x-3)^2 +8

Using f(1) = 0 to figure out a:

0 = a(1-3)^2+8

4a =-8

a = -2

Our final equation would bef(x)=-2(x-3)^2+8

In standard form:  f(x)=-2x+12x-10

soldier1979 [14.2K]3 years ago
6 0

Answer:

Step-by-step explanation:

sin (330)

-4 cot

(-45)

csc (60)

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Ierofanga [76]

Graph the system of linear inequalities

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First we graph x + y >5

Step 1: replace > symbol by = sign

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step 2 : Solve the equation for y

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y = 5 - x

step 3: Now we make a table . plug in some number for x  and find out y

x -----> y

-1 -----> 6   ( y=5-x => y=5-(-1)= 6)

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1 -----> 4   ( y=5-x => y=5-(1)= 4)

Step 4:  we graph the table.

step 5: Shade the region that satisfies our inequality

x + y > 5. Greater than symbol implies that we shade the graph to the right

Graphing second inequality - x - y < -5

All terms have negative sign . so divide all the terms by -1. When we divide an inequality by -1 its sign changes

- x - y < -5 becomes x + y > 5

Follow the same steps to graph this inequality

After dividing the second equation  by -1 , we got the same as the first equation.

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4 0
3 years ago
The length of a rectangle is three times it's width. The perimeter of the rectangle is 100 inches. What are the dimensions of th
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Answer:

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length : 37.5

width : 12.5

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let x = length and y = width

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The length of a rectangle is 2 meters more than its width. The area of the rectangle is 80 square meters. What is the length and
insens350 [35]

Answer:

Step-by-step explanation:

Formula

A = L * W

Givens

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Solution

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Area = w^2+2W-80=80-80  Combine

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The answer looks like A

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