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3 years ago

The product of a number and 2 is 20 less than the product of the number and -3. What is the number?

Mathematics

1 answer:

SOVA2 [1]3 years ago

6 0

<h3><u>answer</u><u>:</u></h3>

<em>x</em><em> </em><em>=</em><em> </em><em>-4</em>

<h3><em>steps</em><em>:</em></h3>

Let the number = x (set up an equation)

2x = -3x - 20

add 3x to both sides

5x = -20

divide by 5 on both sides

<u>x</u><u> </u><u>=</u><u> </u><u>-4</u>

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2 years ago

15(20−10x)−8x>−6x−16 A. x<1 B.x>1 C x<5 Dx>5

Mademuasel [1]

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3 years ago

A backyard pool has a concrete walkway around it that is 5' wide on all sides the total area of the pool and the walkway is 950'

Soloha48 [4]

The dimensions of the pool would give a quadratic equation x² + 28x - 770 = 0

<h3>How to determine the dimension</h3>

For the pool, we have that;

Let the width = x feet

Length = (x+8) feet

The pool alongside the walkway gives;

Width = x + 5 + 5 = (x + 10) feet

Length = x + 8 + 5 + 5 = (x + 18) feet

Total area of the pool with walkway = 950 square feet

Note that formula for area is given as

Area = length * width = 950

Equate the length and width

(x+18) × (x + 10) = 950

Using the FOIL method, we have;

(x × x )+ (x × 10) + (18 × x) + (18 × 10) = 950

x² + 10x + 18x + 180 -950 = 0

collect like terms

x² + 28x - 770 = 0

Thus, the dimensions of the pool would give a quadratic equation x² + 28x - 770 = 0

Learn more about area of a rectangle here:

brainly.com/question/14137384

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1 year ago

Sharon is jumping from an 18-foot diving board with an initial upward velocity of 4 ft/s. when sharon jumps, megan throws a beac

Alinara [238K]

It will take 1.08 seconds for the ball to reach Sharon after she jumps if the upward velocity of the ball is 16 ft/s from a height of 5 feet option third is correct.

<h3>What is the equation of motion?</h3>

It is defined as the equation by which we can find the motion of a physical particle with respect to time. It is the representation of physical entity movement in a mathematical function.

We have:

The height of the Sharon from the diving board = 18 feet

The initial upward velocity of the Sharon = 4 ft/s

The height of the Megan from the ground = 5 feet

The initial upward velocity of the beach ball = 16 ft/s

We know the equation of motion is given by:

$\rm h(t) = x + ut+\frac{1}{2} gt^2$

Put x = 18 feet and u = 4 ft/s in the above equation, we get:

$\rm h(t) = 18 + 4t+\frac{1}{2} \times9.8t^2$ ....(1) [g = 9.8 m/s²]

Put x = 5 feet and u = 16 ft/s in the equation of motion, we get:

$\rm h(t) = 5 + 16t+\frac{1}{2} \times9.8t^2$ ....(2)

Equate the equation (1) and equation (2), we get

$\rm 18 + 4t+\frac{1}{2} \times9.8t^2= 5 + 16t+\frac{1}{2} \times9.8t^2\\$

18 + 4t = 5 + 16t

12t = 13

t = 1.08 seconds

Thus, it will take 1.08 seconds for the ball to reach Sharon after she jumps if the upward velocity of the ball is 16 ft/s from a height of 5 feet.

Learn more about the equation of the motion here:

brainly.com/question/13514745

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2 years ago

I need help! asap please

nasty-shy [4]

Answer:

-1/1

Step-by-step explanation:

it's negative 1 over one because the graph is constantly going down but still to the right side and the line is touching every corner of the boxes

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2 years ago

Read 2 more answers