roots of x3 + 2x2 – 16x– 32

Step-by-step explanation:

solve the ineq first then plot on the number line so,

-2(4x + 5) ≤ 30

-8x - 10 ≤ 30

-8x ≤ 40

x ≥ -5

therefore, option A is correct.

Topic: Inequalities

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Answer:

[tex]{:}\leadsto[/tex][tex]\sf RS=\sqrt {(-3-1)^2+(1-5)^2}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf \sqrt {(-4)^2+(-4)^2}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf \sqrt {16+16}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf \sqrt {32}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf RS=\sqrt{32}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf ST=\sqrt {(-7-3)^2+(3-1)^2}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf \sqrt {(-10)^2+(2)^2}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf \sqrt {100+4}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf ST={\sqrt{104}}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf TV=\sqrt {(-5-7)^2+(7-3)^2}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf \sqrt{(-12)^2+(4)^2}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf \sqrt {144+16}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf TV=\sqrt {150}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf RV=\sqrt {(-5-1)^2+(7-5)^2}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf \sqrt{(-6)^2+(2)^2}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf \sqrt {36+4}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf RV=\sqrt {40}[/tex]

Perimeter =RS+ST+TV+RV

[tex]{:}\leadsto[/tex][tex]\sf \sqrt{32}+\sqrt {104}+\sqrt {150}+\sqrt {40}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf Perimeter =4\sqrt{20}[/tex]

Answer:

person jumping on trampoline

Step-by-step explanation:

A person jumping on a trampoline

a diagram showing the relation between variable quantities, typically of two variables, each measured along with one of a pair of axes at right angles.

According to the graph,

It is measured between height and time,

Which can be related to

A person jumping on a trampoline

Learn more about Graph:

https://brainly.com/question/24408122

#SPJ2

Answer:

10

100

1000

Step-by-step explanation:

I had a quiz on that the other day got 100%

Answer:

represent a Pythagorean triple consists of three positive integers a, b, and c, such that a^2 plus b^2 = c^2

Answer:

A decagon has 10 sides so its interior angles add up to 180(10) - 360 = 1440 degrees. Therefore, on average, each interior angle is 144 degrees and each exterior angle is 36 degrees. The sum of the exterior angles is 10 x 36 = 360 degrees.

Step-by-step explanation:

The total sum of the interior angles of a simple decagon is 1440°

Answer:

5 3/5 cups of Ingredient B

Step-by-step explanation:

A recipe calls for 1/2 cup of ingredient A for every 1 2/5 cups of ingredient B. You use 2 cups of ingredient A. How many cups of ingredient B do you​ need?

This is calculated as:

1/2 cups of Ingredient A = 1 2/5 cups of Ingredient B

This means:

1/2 cups of Ingredient A = 7/5 cups of Ingredient B

2 cups of Ingredient A = x

Cross Multiply

2 × 7/5 = 1/2 × x

x = 2 × 7/5/1/2

x = 2 × 7/5 ÷ 1/2

x = 2 × 7/5 × 2/1

x = 28/5

x = 5 3/5 cups of Ingredient B

Hence, For 2 cups of Ingredient A, 5 3/5 cups of Ingredient B is needed

Answer:

15.8 miles

Step-by-step explanation:

Given that:

Distance driven south = 15 miles

Distance driven east = 5 miles

How far is Mr. Martinez from his starting point?

Using Pythagoras :

Distance from starting point(d) :

d = √(15)² + (5)²

d = √225 + 25

d = √250

d = 15.811388

d = 15.8 miles

Answer:

Step-by-step explanation:

start at (0, 72), then (1, 64), (2, 56), ETC. I hope you see the pattern! Do it until you reach (9, 0)

Answer:

n knf

Step-by-step explanation:

sdfdfdf

Answer:

Step-by-step explanation:

1). 17 and 2

17 × 2 = 34 and 17 + 2 = 19

2). 7 and 4

3). 24 and 1

4). ( - 11) and ( - 3)

5). ( - 15) and ( - 2)

6). 22 and 3

Answer:

Step-by-step explanation:

Complementary means that the two angles add to 90 degrees. Since we know the measure of one angle, we will subtract 25 from 90 to get 65 degrees for angle 2.

Step-by-step explanation:

20=4*1.95+1.99n

n=6

Audrie can buy 6 notebooks

Answer:

The height of the candle decreases by 1.6 inches every hour, and its original height was 20 inches.

Step-by-step explanation:

Answer:

-3/5

Step-by-step explanation:

-7-8/-15-10= -15/-25

divide by 5 to get -3/-5 or - 3/5

Answer:

1 to 2

1:4

9 to 11

?

?

1 to 7

9 to 5

3 to 1

2:1

3 to 2

1 to 2

6 to 1

3:1

8 to 1

?

Answer:

2

Step-by-step explanation:

Thanks for the points Kiddo

Answer: The side length is eight inches.

Step-by-step explanation: 56/7 because of 1/7 scale. Which = 8

Answer:

x =32

Step-by-step explanation:

create equation

180 = 3x + 20 + 2x

combine like terms

180= 3x + 20 + 2x

180=5x + 20

subtract 20 from both sides of the equation

180=5x + 20

180-20= 5x +20 -20

simplify

160= 5x

divided both sides by 5

160/5=5x/5

solution

32= x

Answer:

35

Step-by-step explanation:

Let the number  = y ;

  5 more than the number  = y + 5

  20 less than that number  = y  - 20

Ratio  = 8:3;

Solution:

 Ratio of the number:

                   [tex]\frac{y + 5}{ y -20}[/tex]   = [tex]\frac{8}{3}[/tex]

Now cross multiply and solve for y;

          3(y+5)  = 8(y-20)

            3y + 15  = 8y - 160

            3y - 8y  = -160 - 15

                -5y  = -175

                    y  = 35

Answer: $12.55

Step-by-step explanation:

Step-by-step explanation:

since it's 20% off, that means it's sold at 80%.

hence,

80% x $41.45 = $33.16

Topic: percentage

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Answer:

slope: -3.5 y-intercept: 4

Step-by-step explanation:

Answer:

My code issssssss 163759

Step-by-step explanation:

Answer:

go charizard

Step-by-step explanation: