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DENIUS [597]
3 years ago
15

Question 16 of 21 Which graph shows the solution to this system of linear inequalities?

Mathematics
1 answer:
WARRIOR [948]3 years ago
3 0

The answer is B as it is the only one that matches the 2 inequalities.

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What is the answer using either the substitution method or elimination method
Sophie [7]

To solve this problem, I am going to use the substitution method.  To do this, we use our first equation given (s=4r-1) and substitute this given value for s (4r-1) and substitute it into the second equation so that we have an equation with only one variable.  This is modeled below:

s = 4r - 1

6r - 5s = -23

6r - 5(4r-1) = -23

Now, we can solve this equation as we would any other equation, using the order of operations outlined by PEMDAS.  To begin, we will distribute the factor of -5 through the parentheses on the left side of the equation.

6r - 20r + 5 = -23

Next, we should combine like terms on the left side of the equation:

-14r + 5 = -23

Next, we should subtract 5 from both sides of the equation to get the variable term alone on the the left side of the equation.  We get:

-14r = -28

Finally, we should divide both sides by -14 to get the variable r alone on the left side of the equation.

r = 2

Now that we know that value for the variable r, we can substitute this value into one of our original equations (either one will work, but I am choosing to use the first one):

s = 4r - 1

s = 4(2) - 1

Now, we can find the value for s by using multiplication and then subtraction to simplify the right side of the equation.

s = 8-1

s = 7

Therefore, your answer is s = 7 and r = 2.

Hope this helps!

8 0
4 years ago
A food scientist uses a mixture of the gases helium and argon to preserve packaged food. The amount of
Katen [24]

Answer:

H is 16.8

Step-by-step explanation:

If you multiply 5.6 times 3 you get 16.8 and then you add 5.6 because 0.56 times 10 equals 5.6

8 0
3 years ago
Justin is redoing his bathroom floor with tiles measuring 6 in x 13 in. The floor has area of 8500 inches squared. what is the l
Zolol [24]
First, find the area of the tiles. 6 in. * 13 in. = 78 in^2.

Then divide the area of the floor by the area of the tiles.

8500 / 78 = 108 38/39

7 0
3 years ago
The base area of a square-based prism is 25 ft squared. One of the lateral faces of the prism is 30 ft squared. What is the surf
deff fn [24]

Answer:

170 ft^2

Step-by-step explanation:

The surface area of a square prism is 2 times the base area + 4 times the area of a lateral face.

S=2(25)+4(30)

S=50+120

S=170

3 0
3 years ago
What is the equation of a parabola that has a vertical axis, passes through the point (–1, 3), and has its vertex at (3, 2)? x=
Genrish500 [490]

Answer:

y=x216–6x16+4116

Step-by-step explanation:

plato :)

5 0
3 years ago
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