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3 years ago

Find the roots of each equation by factoring

Mathematics

1 answer:

Korolek [52]3 years ago

7 0

Answer:

x=7 x=-7

Step-by-step explanation:

Solution is attached.

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Wells College in Aurora, New York was previously an all-girls college. In 2005, the college began to allow boys to enroll. By 20

vagabundo [1.1K]

Answer:

150 boys were enrolled in 2012

Step-by-step explanation:

Let the number of boys enrolled in 2012 be x

Let the number of girls enrolled in 2012 be x + 200

Ratio of boys to girls in 2012 enrollment = 3/7

Now;

3/7 = x/x + 200

7x = 3(x + 200)

7x = 3x + 600

7x - 3x = 600

4x = 600

x = 600/4

x = 150 boys

Hence, 150 boys were enrolled in 2012

5 0

3 years ago

The price of a computer component is decreasing at a rate of 15% per year. State whether this decrease is linear or exponential

Margaret [11]

Answer:

Since the price is given by an exponential function, the decline in price is exponential.

The component will cost $36.8475 in three years.

Step-by-step explanation:

The equation for the price of a component has the following format:

$P(t) = P(0)(1-r)^{t}$

In which P(t) is the price after t years, P(0) is the initial price, and r is the rate that the price decreases.

Since the price is given by an exponential function, the decline in price is exponential.

The price of a computer component is decreasing at a rate of 15% per year.

This means that $r = 0.15$

Component costs $60 today

So P(0) = 60. Then

$P(t) = P(0)(1-r)^{t}$

$P(t) = 60(1-0.15)^{t}$

$P(t) = 60(0.85)^{t}$

What will it cost in three years?

This is P(3).

$P(t) = 60(0.85)^{t}$

$P(3) = 60(0.85)^{3} = 36.8475$

The component will cost $36.8475 in three years.

6 0

3 years ago

What is the answer show all work 10.77 + 8.9

ikadub [295]

Step-by-step explanation:

as in the attachment answer is

8 0

3 years ago

Write the equation of a circle with center (6,4) that passes through the coordinate (2,1). In your final answer, include all of

kari74 [83]

R^2=(x-6)^2+(y-4)^2

r^2=(6-2)^2+(4-1)^2, r^2=16+9=25

(x-6)^2+(y-4)^2=25

8 0

3 years ago

Read 2 more answers

A cargo plane flew from the US across the Atlantic at 212 mph, and flew back to the US at 232 mph. Given that the first trip too

expeople1 [14]

The return trip was 21.2 hours long.

Step-by-step explanation:

Given,

Speed of plane from US = 212 mph

Speed of plane on return trip = 232 mph

Let,

x be the time taken on return trip.

Time taken from US = x+2

We know that;

Distance = Speed * Time

Distance of plane from US = 212(x+2) = 212x+424

Distance on return trip = 232x

As the distance will be same, therefore,

$232x=212x+424\\232x-212x=424\\20x=424$

Dividing both sides by 20

$\frac{20x}{20}=\frac{424}{20}\\x=12.2\ hours$

The return trip was 21.2 hours long.

Keywords: distance, speed

Learn more about speed at:

#LearnwithBrainly

5 0

4 years ago