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Archy [21]
2 years ago
15

F(x)=4x^2+4x-15 Write the function D in intercept form. Use this form to list the zeros of the function.

Mathematics
1 answer:
valentinak56 [21]2 years ago
8 0

Answer:

Zeros are x = 1.5, -2.5

Step-by-step explanation:

Given function is,

F(x) = 4x² + 4x - 15

      = 4(x² + x - 3.75) [Since, intercept form of a quadratic equation is the factored form of the function]

F(x) = 4(x² + 2.5x - 1.5x - 3.75)

      = 4[x(x + 2.5) - 1.5(x + 2.5)]

      = 4(x - 1.5)(x + 2.5)

For 'x' intercepts,

f(x) = 0

4(x - 1.5)(x + 2.5) = 0

x = 1.5, -2.5

Therefore, zeros of the given function are x = 1.5, -2.5.

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casey is six time as old as Ralph, In two years, she will be four time as old as Ralph. How old is each of them now?
Keith_Richards [23]

Casey is 18 years old and Ralph is 3 years old.

Step-by-step explanation:

Let,

Age of Casey = x

Age of Ralph = y

According to given statement;

x = 6y     Eqn 1

In two years

x+2=4(y+2)

x+2=4y+8

x = 4y+8-2

x = 4y+6     Eqn 2

Putting value of x from Eqn 1 in Eqn 2

6y=4y+6 \\6y-4y=6\\2y=6

Dividing both sides by 2

\frac{2y}{2}=\frac{6}{2}\\y=3

Putting y=3 in Eqn 1

x=6(3)\\x=18

Casey is 18 years old and Ralph is 3 years old.

Keywords: word problems, substitution method

Learn more about substitution method at:

  • brainly.com/question/12973601
  • brainly.com/question/13063819

#LearnwithBrainly

7 0
3 years ago
A group of gymnasts were asked to name their favorite piece of equipment. 0.33 of the gymnasts chose the vault,chose the beam, 0
jolli1 [7]

Answer:

beam, vault, uneven bars, floor

Step-by-step explanation:

<u><em>The complete question is</em></u>

A group of gymnasts were asked to name their favorite piece of equipment. 0.33 of the gymnasts chose the vault, 4/9 chose the beam, 0.08 chose the floor exercise, and 1/7 chose the uneven parallel bars. List their choices in order of preference from greatest to least.

step 1

Convert 4/9 and 1/7 to decimals in order to compare with the other values

4/9=0.44

1/7=0.14

step 2

Compare the values

0.44 > 0.33 > 0.14 > 0.08

therefore

The order of preferences from greatest to least is

beam, vault, uneven bars, floor

5 0
3 years ago
Which of the following is closest to the distance that the tip of the hand travels as it moves from
Gwar [14]

Answer:H

Step-by-step explanation:

8 0
3 years ago
Please help!!!
Kipish [7]
F - 12 = -35
f - 12 + 12 = -35 + 12
f = -23
3 0
3 years ago
Larissa is writing a coordinate proof to show that the diagonals of a square are perpendicular to each other. She starts by assi
Llana [10]

The slope of KH is 1

The slope of GJ is -1

The product of the slopes of the diagonals is -1

Therefore, KH is perpendicular to GJ

4 0
3 years ago
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