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Bad White [126]
2 years ago
6

PRETTY please help

Mathematics
2 answers:
lukranit [14]2 years ago
5 0

Answer:

  • C. 4x − 7

Step-by-step explanation:

<u>Given polynomial:</u>

  • 4x² + x - 14

<u>Find its roots:</u>

  • x = (- 1 ± √(1 - 4*4*(-14)) / 8
  • x = (- 1 ± √225) / 8
  • x = ( -1 ± 15) / 8
  • x₁ = (- 1 + 15)/ 8 = 14/8 = 7 / 4
  • x₂ = (- 1 - 15) / 8 = - 16/2 = - 8

<u>The factors:</u>

  • (x - x₁)(x - x₂) =
  • (x - 7/4)(x + 8) =
  • 1/4(4x - 7)(x + 8)

Option C is the correct one

Aleksandr [31]2 years ago
3 0

Answer:

The answer is

4

−

7

)

(

+

2

)

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Kim is 5 years older than her brother Jack. If the sum of their ages is 21, find each of their ages.
yarga [219]

9514 1404 393

Answer:

  • Kim is 13
  • Jack is 8

Step-by-step explanation:

Let k represent Kim's age. Then Jack's age is k-5 and the total of their ages is ...

  k + (k -5) = 21

  2k = 26 . . . . . . . add 5, collect terms

  k = 13 . . . . . . . . . divide by 2; Kim's age

  k -5 = 8 . . . . . . . Jack's age

Kim is 13; Jack is 8.

7 0
2 years ago
The value -2 is a lower bound for the zeros of the function shown below.
Tju [1.3M]

Answer:

False

Step-by-step explanation:

f(x) = 4x³ - 12x² - x + 15

Set output to 0.

Factor the function.

0 = (x + 1)(2x - 3)(2x - 5)

Set factors equal to 0.

x + 1 = 0

x = -1

2x - 3 = 0

2x = 3

x = 3/2

2x - 5 = 0

2x = 5

x = 5/2

-2 is not a lower bound for the zeros of the function.

7 0
3 years ago
Which system of inequalities represents reglon Z?<br> 6
yKpoI14uk [10]

Answer:

The system of inequalities is

y\geq 3x-2

y<-(1/5)x+2

Step-by-step explanation:

step 1

Find the equation of the solid blue line

Let

A(0,-2), B(1,1)

Find the slope of AB

m=(1+2)/(1-0)=3

The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=3

b=-2 - ----> the point A is the y-intercept

substitute

y=3x-2 - -----> equation of the solid blue line

The solution of the inequality is the shaded area above the solid line

therefore

The first inequality is

y\geq 3x-2

C(0,2), D(5,1)

step 2

Find the equation of the dashed red line

Let

Find the slope of CD

m=(1-2)/(5-0)=-1/5

The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=-1/5

b=2 ----> the point C is the y-intercept

substitute

y=-(1/5)x+2  -----> equation of the dashed red line

The solution of the inequality is the shaded area below the dashed line

therefore

The second inequality is

y<-(1/5)x+2

The system of inequalities is

y\geq 3x-2

y<-(1/5)x+2

3 0
3 years ago
What is 3 x 2.7 in iReady?
Scrat [10]

Answer:

it's probably 8.1

Step-by-step explanation:

:)

P.S: You could use a calculotor next time

7 0
2 years ago
Read 2 more answers
A line with a slope of O passes through the point (1, 10). What is its equation in
Burka [1]

Answer: Y = 10

Step-by-step explanation:

Because it is a horizontal line, the equation will just be Y = the Y value

5 0
2 years ago
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