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3 years ago

Write a polynomial function in standard form with the given zeros. x= 1,1,2

1 answer:

5 0

First we write factor form than we transform it into polynomial:
(x-1)(x-1)(x-2) = (x^2-2x+1)(x-2)

we multiplied first 2 factors. now we only need to multiply remaining factors and than to sum like terms

x^3 -2x^2+x-2x^2+4x-2 = x^3 - 4x^2 + 5x -2

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Britney throws an object straight up into the air with an initial velocity of 27 ft/s from a platform that is 10 ft above the gr

Degger [83]

Answer: t=2s

Step-by-step explanation:

4 0

3 years ago

Pleaseee helppppppp!!

marissa [1.9K]

Answer:

AED means the entire angle

I AEB is 29 degrees and BEC is 12 degrees, the 29+12=41 degrees.

x=89-41

x=48 degrees

hope it helps :)

8 0

3 years ago

Read 2 more answers

Alex is building a rectangle fence around his yard. the total perimeter of the fence is 68 feet and the area of his yard is 240

Alisiya [41]

Let's call the length of the rectangular fence $l$ and the width of the rectangular fence $w$ .

Based on the information in the problem, we can make two equations, based on the formulas for perimeter and area:

$A = lw$

$P = 2l + 2w$

Now, let's substitute in the values we are given in the problem:

$240 = lw$

$68 = 2l + 2w$

Now, let's solve the system using substitution.

$240 = lw \Rightarrow \dfrac{240}{w} = l$

Solve for $l$ from the first equation

$68 = 2\Bigg( \dfrac{240}{w} \Bigg) + 2w$

Substitute this value into the second equation

$68 = \dfrac{480}{w} + 2w$

Simplify

$68w = 480 + 2w^2$

Multiply both sides of the equation by $w$

$2w^2 - 68w + 480 = 0$

Subtract $68w$ from both sides of the equation

$(2w - 48)(w - 10) = 0$

Factor

$2w - 48 = 0$ and $w - 10 = 0$

Use the Zero Product Property and solve both factors

$2w - 48 = 0 \Rightarrow 2w = 48 \Rightarrow w = 24$

$w - 10 = 0 \Rightarrow w = 10$

We are given two possible lengths. However, the funny thing is that both produce the same dimensions: 24 ft by 10 ft:

$w = 24 \Rightarrow 240 = l(24) \Rightarrow l = 10$

$w = 10 \Rightarrow 240 = l(10) \Rightarrow l = 24$

Thus, our answer is Choice C, or 10 feet by 24 feet.

4 0

3 years ago

How do you solve the compound inequality? 6 – x > 15 or 2x – 9 ≥ 3

Masja [62]

Answer:

x < -9 or x ≥ 6

Step-by-step explanation:

6 – x > 15 or 2x – 9 ≥ 3

Solve each inequality

6-x > 15

Subtract 6 from each side

6-x-6 > 15-6

-x > 9

Multiply by -1 remembering to flip the inequality

x < -9

Then the other inequality

2x – 9 ≥ 3

Add 9 to each side

2x -9+9≥ 3 +9

2x≥ 12

Divide by 2

2x/2 ≥ 12/2

x ≥ 6

Put back together

x < -9 or x ≥ 6

4 0

3 years ago

Kelly decides to pour her punch into 1-quart containers to fit into her refrigerator until the party starts She has four 1-quart

Elis [28]

Step-by-step explanation:

Convert quart to cups

$1qt=2pt\\1pt=2C\\so\\1qt=4C\\x=4qt*4C\\x=16C\\as\\4qt=16C\\$

if it is less than total cups her punch will not fit and vice versa

5 0

4 years ago