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3 years ago

Which equation represents the line shown in the graph below?

Mathematics

1 answer:

likoan [24]3 years ago

3 0

The answer is y=2x+5

To get it use point slope by taking two points and solving .

Slope formula

M= y2-y1/x2-x1

With two points

(0,5)(-5,-5)

M= -5-5/-5-0

M= -10/-5

M=2

2 is slope

Now get one of the points

(0,5) And slope to create equation y=mx+b . Now find b

5=2(0)+b

5=b

So now you can put it all together

Y= 2x+5

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Solve for x (3X -8) (x+2)

Oxana [17]

Answer:

(3X -8) (X +2)

=(3X^2 + 6X - 8X -16)

use the quadratic formula

a=3

b=-2

c=-16

therefore your x=8/3 or -2

7 0

2 years ago

What requirements must be satisfied? select all that apply.

IrinaK [193]

In order to satisfy the requirement, this are the following that is required;First, at least one observation must be above or below 90 seconds. Second is ether the population is normally distributted or greater than (>) 30, or maybe both.
The answer in this question is A and B.

8 0

2 years ago

The population at Bishop High School is 2000 students in 2011. Every year the population decreases by 50 students

Artemon [7]

Answer:

Let p be the population at t be the number of years since 2011. Then, $p=2000-50t$

The projected population of the high school in 2015=1800
In 2019 the population be 1600 students

Step-by-step explanation:

Given: The population at Bishop High School students in 2011 =2000

Also, Every year the population decreases by 50 students which implies the rate of decrease in population is constant.

So, the function is a linear function.

Let p be the population at t be the number of years since 2011.

Then, $p=2000-50t$

So at t=0, p=2000

In year 2015, t=4, substitute t=4 in the above equation ,we get

$p=2000-50(4)\\\Rightarrow\ p=2000-200\\\Rightarrow\ p=1800$

Hence, the projected population of the high school in 2015=1800

Now, put p=1600 in the function , we get

$1600=2000-50t\\\Rightarrow50t=2000-1600\\\Rightarrow50t=400\\\Rightarrow\ t=\frac{400}{50}\\\Rightarrow\ t=8$

Now, 2011+8=2019

Hence, in 2019 the population be 1600 students

6 0

2 years ago

What is the period of the sinusoidal fynction below? f(x) = 2 cos(3x – 360) + 3

dexar [7]

Answer:

Here you go! I have a graph for your answer!

Step-by-step explanation:

The Xmin is -10

The Xmax is 10

The Ymin is -10

Ans the Ymax is 10

4 0

2 years ago

Evaluate 9 – b when b = 8.

FromTheMoon [43]

Answer:

9 - b = ? 9 - 8 = 1 So, your answer is 1.

Step-by-step explanation:

5 0

3 years ago