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Answer:

There are 3 zeros, which are:

[tex]x=7,\:x=-\sqrt{2},\:x=\sqrt{2}[/tex]

Step-by-step explanation:

Given the function

[tex]f\left(x\right)\:=\:x^3\:-\:7x^2\:-\:2x\:+\:14[/tex]

To get the zeros of [tex]f(x)[/tex], set [tex]y[/tex] or [tex]f(x) =0[/tex]

so

[tex]0=x^3-7x^2-2x+14[/tex]

as

[tex]x^3\:-\:7x^2\:-\:2x\:+\:14=\left(x-7\right)\left(x+\sqrt{2}\right)\left(x-\sqrt{2}\right)[/tex]

so

[tex]\left(x-7\right)\left(x+\sqrt{2}\right)\left(x-\sqrt{2}\right)=0[/tex]

Using the zero factor principle:

[tex]\mathrm{ \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]

so

[tex]x-7=0\quad \mathrm{or}\quad \:x+\sqrt{2}=0\quad \mathrm{or}\quad \:x-\sqrt{2}=0[/tex]

solving

[tex]x-7=0[/tex]

[tex]x+\sqrt{2}=0[/tex]

[tex]x-\sqrt{2}=0[/tex]

Therefore, there are 3 zeros, which are:

[tex]x=7,\:x=-\sqrt{2},\:x=\sqrt{2}[/tex]

Answer: x = 20

because 2 triangles are similar

=> [tex]\frac{2x-4}{24}=\frac{42}{x+8}[/tex]

⇔ (2x - 4)(x + 8) = 24.42

⇔ 2x² + 12x - 32 = 1008

⇔ 2x² + 12x - 1040 = 0

⇔ 2(x - 20)(x + 26) = 0

because x > 0

=> x = 20

Step-by-step explanation:

Answer:

2x+8x=x-16?

10x=x-16

9x=-16

x=-16/9?

Step-by-step explanation:

Answer:

X= -4 Or A on egde.

Step-by-step explanation:

I just took the test 2021

Answer:

A

Step-by-step explanation:

Given

[tex]\frac{5}{6}[/tex] x - 4 = - 2 ( add 4 to both sides )

[tex]\frac{5}{6}[/tex] x = 2 ( multiply both sides by 6 to clear the fraction )

5x = 12 ( divide both sides by 5 )

x = [tex]\frac{12}{5}[/tex] = 2 [tex]\frac{2}{5}[/tex] → A

Answer:

The first one

Step-by-step explanation:

On a graph, if the line starts at the origin, where the 0 is, which is the center in this case, it is proportional

On a table, if the numbers all the have the same rate of change, which is y/x, then it is proportional

Answer:

-x+9

Step-by-step explanation:

remove the parenthesis

combine like like terms

8x-9x=-x

2+7=9

Answer:

-x+9

Step-by-step explanation:

remove the parenthesis and combine the alike terms

Answer:

The mean number of cookies was 33.5

Step-by-step explanation:

Add the values of the terms and divide by the number of terms.

So...

26 + 38 + 45 + 25 = 134

134 ÷ 4 = 33.5

Answer:

y=2x-1

Step-by-step explanation:

i passed this

Answer:

its 16  

i had this question on edge

Answer:

c

Step-by-step explanation:

Answer:

(6,8) i think

Step-by-step explanation:

Answer:

$-4

Step-by-step explanation:

Your welcome

Answer:

$50

Step-by-step explanation:

So the best thing is to com eup with an equation. I came up with:

150 + 27 - 96 - 31

Deposit means to put money into, so that's why we're adding 27.

And then the checks mean that they are going to be taken out of, so that's why we're subtracting 96 and 31. All that's left to do now is solve.

150 + 27 = 177 - 96 = 81 - 31 = 50

Answer:

32

Step-by-step explanation:

Answer: uwu hai owo how are you :3

Step-by-step explanation:

Answer:

oo jeez thats gross

Step-by-step explanation:

dont share photo's kids

9514 1404 393

Answer:

  9 oz less

Step-by-step explanation:

The difference is 75% of 12 oz, so is ...

  0.75 · 12 oz = 9 oz

The regular bottle holds 9 ounces less.

Answer:

The answer is 34.4

Step-by-step explanation:

Trust me it's correct

Pls mark me as brainliest

Answer:

10

Step-by-step explanation:

itsss 10 :))))))))))>))))))))

Answer:

In The Function of Form, internationally acclaimed architect, Farshid Moussavi, provides a provocative critique of the historically opposing relationship between function and form to reveal the contradiction at the heart of modernism.

Step-by-step explanation:

Answer: A function of the form is a special relationship where each input has a single output like f(x)=x/2 its a function because of the input value

Step-by-step explanation:

a function can be solve this way

f(2)=1

f(16)=8

ect

hope this helps

Answer:

[tex]67\frac{7}{10}[/tex] or [tex]67.7[/tex]°

Step-by-step explanation:

First let's interpret the wording. It mentions that on the first day the temperature dropped [tex]10\frac{7}{10}[/tex]. Then on the second day the temperature increased by [tex]12\frac{6}{10}[/tex]. Then they tell us that if the beginning temperature was [tex]65\frac{8}{10}[/tex] what would the temperature be at the end of the of the second day. So since the temperature decreased the first day we should subtract [tex]10\frac{7}{10}[/tex] from [tex]65\frac{8}{10}[/tex]. That will give us [tex]55\frac{1}{10}[/tex]. Now for the second day the temperature increased so we will add [tex]12\frac{6}{10}[/tex] to [tex]55\frac{1}{10}[/tex] and that will give us [tex]67\frac{7}{10}[/tex] and if you want it in a decimal it will be [tex]67.7[/tex].

Answer:

f.Answer:

K = 3

T = 2

And

H = 12

Step-by-step explanation:

3k = 9

k = 9/3

k = 3.

3k =k + 3t

subtitute value of k

3×3=3+3t

9-3=3t

6/3=t

t=2.

2k + h =18

2×3+h=18

h=18-6

h=12..

Answer:

Step-by-step explanation:

if x=5 then

7x = 7*5 = 35°

11x= 11*5 = 55°

those two angle are adding to 180 with the red and blue ones

180-35=145° is blue

180-55=125° is red

Answer:

- 22.76

Step-by-step explanation:

if b = - 0.16 the you subtract that with - 22.6

- 0.16 - 22.6 = - 22.76

Step-by-step explanation:

y = mx + c

m = 4

c = 11

.: y = 4x + 11

y - 4x = 11

divide both sides by 11

[tex] \frac{y}{11} - \frac{4x}{11} = 1[/tex]

[tex] \frac{y}{11} - \frac{x}{11/4} = 1[/tex]

is the slope intercept equation (perpendicular equation)

Answer:

$4 per pint

1/4 pint per dollar

5 pints for $20

$32 for 8 pints

Step-by-step explanation:

12.00/3 = 4

$4 per pint

1/4 = 1/4

1/4 pint per $1

$20 / $4 = 5 pints

$4 * 8 = $32

Answer:

After 5 hours

Step-by-step explanation:

LaRhonda charges a 10 dollar fee plus 5 hours will get her 20 dollars.

William will babysit 5 hours for 4 dollars and receive 20 dollars also.

Answer:

$1719.55, 61.4%

Step-by-step explanation:

Original price of stove:  $2,800

Value of stove after 1 year:  (1 - 0.15)($2,800), or 0.85($2,800) = $2,380

Value of stove after 2 years:  0.85($2,380) = $1719.55

Find the ratio of this last result to the original price and convert that to a  percentage:

$1,719.55

-------------- = 0.614, or approximately 61.4%

 $2,800

Answer:

IM BOUT TO SOLVE

Step-by-step explanation:

Answer:

Step-by-step explanation: