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4vir4ik [10]
2 years ago
10

Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the

statement that could be true for g. Please no random answers

Mathematics
1 answer:
Kazeer [188]2 years ago
5 0

Answer:

A

Step-by-step explanation:

A is corrects since -13 is in the the domain of g(x) and 20 is in the range of g(x):

  • -20 < -13 < 5
  • -5 < 20 < 45

B is also false since 4 is in the domain of g(x)) and -11 isn't in the range of g(x)

  • -20 < 4 < 5
  • -11 < -5

C is also false since it's mentioned that g(0) = -2  

D is false since 7 isn't in the domain of g(x)

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How many solutions are there to the system of equations?
hichkok12 [17]

Answer: The system of equations has NO SOLUTION.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Given the following system of equations:

\left \{ {{4x-5y=5} \atop {-0.08x+0.10y=0.10}} \right.

Write the first equation and solve for "y" in order to express it in Slope-Intercept form:

4x-5y=5\\\\-5y=-4x+5\\\\y=\frac{-4x}{-5}+\frac{5}{-5}\\\\y=0.8x-1

You can identify that:

m=0.8\\b=-1

Apply the same procedure with the second equation. Then:

-0.08x+0.10y=0.10\\\\0.10y=0.08x+0.10\\\\y=\frac{0.08x}{0.10} +\frac{0.10}{0.10}\\\\y=0.8x+1

You can identify that:

m=0.8\\b=1

The slopes of both lines are equal, therefore  the lines are parallel and the system has NO SOLUTION.

7 0
2 years ago
Read 2 more answers
Graph the line that represents a proportional relationship between Y And x where the unit rate of change of y with their respect
aksik [14]

Answer:

y=\frac{3}{8}x    

The graph in the attached figure

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Remember that

The unit rate of change is the same as the slope

so

In this problem

m=\frac{3}{8}

The linear equation is equal to

y=\frac{3}{8}x

To graph the line we need two points

we have (0,0) because the line passes through the origin

Determine other point

assume a value of x and calculate the value of y

For x=8

y=\frac{3}{8}(8)=3

The other point is (8,3)

Plot the points and join them to draw the line

The graph in the attached figure

3 0
2 years ago
A recipe requires one quarter cup of milk as a base and then, In addition, 1 cup of milk for every 4 cups of flour. Choose a lin
GrogVix [38]

Answer:

Step-by-step explanation:

Where are the choices?

m and f are the cups of milk and flour, respectively.

m = ¼f + 1

3 0
2 years ago
Joanne is installing weatherstripping around a 30-in. × 25-in. control box. how much weatherstripping does she need, in inches a
GrogVix [38]
<span>The control box’s dimensions are 30 inches by 25 inches. Therefore, the perimeter of the box is 30 inches + 25 inches + 30 inches + 25 inches = 110 inches. There are 12 inches per foot. 12 goes into 110 nine times, with two inches left over. Therefore, 9 feet and 2 inches of weatherstripping is needed.</span>
7 0
2 years ago
Write an inequality that represents the situation: a large box of golf balls has more than 12 balls. Describe how your inequalit
qwelly [4]
12>x

X = the number of golf balls, inequality states that the number of golf balls is over 12
7 0
2 years ago
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