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3 years ago

Find the equation of quadratic function determined from the graph below?

Mathematics

1 answer:

Aleksandr [31]3 years ago

3 0

Step-by-step explanation:

The x-intercepts are x = -1 and x = 5, so:

y = k (x + 1) (x − 5)

The vertex is (2, -3), so:

-3 = k (2 + 1) (2 − 5)

-3 = -9k

k = 1/3

y = 1/3 (x + 1) (x − 5)

Simplifying:

y = 1/3 (x² − 4x − 5)

y = 1/3 x² − 4/3 x − 5/3

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Wally chin, the owner of an exxon mobil station, bought a used ford pickup truck, paying $1,900 as a down payment. He still owes

My name is Ann [436]

Down payment of the ford pickup truck = $1,900.

It is said that down payment amount $1,900 owes 75% of the selling price.

Therefore, 100-75 = 25% is the downpayment of total Selling price.

Let is assume selling price is $x.

According to problem,

25% of the selling price equals down payment amount $1,900.

Let us convert above statement into an equation.

25% of x is 1,900.

That is 25% x = 1,900.

25% could be written as 25/100 or 0.25.

So, the above equation would become

0.25x = 1,900.

Dividing both sides by 0.25, we get

0.75x/0.25 = 1,900/0.25

x=7600

So, the selling price would be $7600.

3 0

2 years ago

Read 2 more answers

Complete the table and graph the function.

EastWind [94]

Answer:

X Y

-5 7

-2 1

-1 -1

2 -7

Step-by-step explanation:

If x = -5, then:

y = -3 -2(-5)

y = -3 + 10

y = 7

If x = -2, then:

y = - 3 -2(-2)

y = -3 + 4

y = 1

If x= -1, then:

y = -3 -2(-1)

y = - 3 + 2

y = -1

If x=2, then:

y = -3 -2(2)

y = -3 -4

y = -7

6 0

2 years ago

What is the volume, in cubic in, of a cylinder with a height of 8 in and a base radius of

densk [106]

Answer:

V=100.5

Step-by-step explanation:

hopes this helps

5 0

2 years ago

Set both given equations equal to zero, then combine them into standard form equation. Simplify if possible

sergij07 [2.7K]

Answer:

4x-6=4+4y+8=2

Step-by-step explanation:

3 0

2 years ago

Mrs. Kim is teaching a 5th grade class. She is standing 48 feet in front of Lester. Carey is sitting to Lester's right. If Carey

victus00 [196]

Lester and Carey are 14 feet apart

Step-by-step explanation:

Mrs. Kim is teaching a 5th grade class

She is standing 48 feet in front of Lester
Carey is sitting to Lester's right
Carey and Mrs. Kim are 50 feet apart

We need to find how far apart Lester and Carey

Look to the attached figure

The positions of Mrs. Kim, Lester, and Carey formed a right triangle

∵ The distance between Mrs. Kim and Carey is 50 feet

∴ The length of the hypotenuse of the Δ = 50 feet

∵ The distance between Mrs. Kim and Lester is 48 feet

∴ The length of one leg of the Δ = 48 feet

The formula of length of the sides of the right Δ is:

$(hypotenuse)^{2}=(leg_{1})^{2}+(leg_{2})^{2}$

Substitute the length of the hypotenuse and the length of the given leg in the formula above

∵ (50)² = (48)² + (leg)²

∴ 2500 = 2304 + (leg)²

- Subtract 2304 from both sides

∴ 196 = (leg)²

- Take square for both sides

∴ 14 = leg

∵ This leg represents the distance between Lester and Carey

∴ The distance between Lester and Carey = 14 feet

Lester and Carey are 14 feet apart

Learn more:

You can learn more about the right triangle in brainly.com/question/1238144

#LearnwithBrainly

8 0

3 years ago