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Feliz [49]
3 years ago
6

Find the indicated limit, if it exists. ​

Mathematics
1 answer:
lakkis [162]3 years ago
3 0

Answer:

6

Step-by-step explanation:

As x approaches -10 from the left, f(x) approaches -4 + 10 = 6

As x approaches -10 from the right, f(x) approaches -10 + 16 = 6

f(-10) = 6

Putting that all together, we have a limit of 6

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Pretest: Unit 5 Question 12 of 21 Use the substitution method to solve the system of equations. Choose the correct ordered pair.
Gala2k [10]

Answer:

(10, - 9 )

Step-by-step explanation:

Given the 2 equations

y = - 2x + 11 → (1)

y = - 3x + 21 → (2)

Substitute y = - 2x + 11 into (2)

- 2x + 11 = - 3x + 21 ( add 3x to both sides )

x + 11 = 21 ( subtract 11 from both sides )

x = 10

Substitute x = 10 into either of the 2 equations and evaluate fir y

Substituting into (1)

y = - 2(10) + 11 = - 20 + 11 = - 9

solution is (10, - 9 )

3 0
3 years ago
How do you write in slope intercept with only the rate of change and one point. Like rate of change is -5 and the point is (3,0)
Simora [160]

Answer:

A linear equation in the slope-intercept form is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Now, we know that the rate of change (the slope) is -5

Then we just replace a by -5

y = -5*x + b

Now we also know that this line passes through a point, and the point is (3, 0)

This means that the point (3, 0) is a solution for the line equation, so when x = 3, we also have y = 0.

Replacing these values in our equation we get:

0 = -5*3 + b

0 = -15 + b

15 = b

Now we know the value of b, so we can replace it in the line equation to get:

y = -5*a + 15

Which is the complete equation of the line.

5 0
3 years ago
A scatterplot is used to display data for a runner where x is the number of miles run, and y is the time, in minutes, that it ta
larisa [96]

The interpretation of y = 9.5x is that: (a) For each 1 minute, the runner ran 9.5 miles.

<h3>How to interpret the equation?</h3>

The equation of the line of best fit is given as:

y = 9.5x

Divide both sides by x

9.5 = y/x

From the question, we have:

  • x ⇒ number of miles run
  • y ⇒ time

This means that:

9.5 = number of miles run/time

Hence, the interpretation of y = 9.5x is that: (a) For each 1 minute, the runner ran 9.5 miles.

Read more about scatter plots at:

brainly.com/question/6592115

#SPJ1

8 0
2 years ago
Given g(x)=-2x-1g(x)=−2x−1, find g(-4)g(−4)
nydimaria [60]

Answer:

7

Step-by-step explanation:

4 0
3 years ago
How do you find slope
Anit [1.1K]
This is how i can explain.....To find slop you need to count the number of units up and then right if your line is going down. 
7 0
3 years ago
Read 2 more answers
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