The system of inequalities below describes the relationship between Cori’s age, C, and Livy’s age, L. DOK 2C + L > 43
C - 4L < 3

Which of the following could be the ages of Cory and Livy?
Livy could be 13 years old, and Cori could be 35 years old.
Livy could be 15 years old, and Cori could be 28 years old.
Livy could be 33 years old, and Cori Could be 10 years old.
Livy could be 20 years old, and Cori could be 85 years old.

Answers

Answer 1
Answer:

Answer:

Livy could be 13 years old, and Cori could be 35 years old.

Step-by-step explanation:

Given : The system of inequalities  describes the relationship between Cori’s age, C, and Livy’s age L.

C + L > 43

C - 4L < 3

We have to determine the ages of Cory and Livy.

We will plot both the inequality in a graph.

Thus, below attachment shows the graph of the two given inequality

Let x axis represent the Cori’s age, C, and y - axis Livy’s age L.

Now we plot the given ages in the graph and those points lies in intersection will given the ages of Cori and Livy.

Thus, Only  (35 , 13) lies in the intersection,

We reject other points as the lies on dotted edges of graphs.

Thus, Livy could be 13 years old, and Cori could be 35 years old.

       

Answer 2
Answer:

Answer:The system of inequalities below describes the relationship between Cori’s age, C, and Livy’s age, L.

C + L > 43

C - 4L < 3

Which of the following could be the ages of Cory and Livy?

Livy could be 33 years old, and Cori Could be 10 years old.

Livy could be 15 years old, and Cori could be 28 years old.

Livy could be 13 years old, and Cori could be 35 years old.

Livy could be 20 years old, and Cori could be 85 years old.

Step-by-step explanation:


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Lines that are parallel have the same slope or else no slope.

Answers

Lines that are parallel have the same slope.

Lines that have the same slope are parallel.
This true they must either have the same slope or no slope so that they will never cross each other

The function g(x) = 8x2 – 48x + 65 written in vertex form is g(x) = 8(x – 3)2 – 7. What is the vertex of g(x)?(–3, –7)
(3, –7)
(24, –7)
(–24, –7)

Answers

The answer is (3, -7). If the function is written in the form y = a(x – h)^2 + k, the vertex will be (h, k). Let's write the function 8x^2 – 48x + 65 in the form of a(x – h)^2 + k. g(x) = 8x^2 – 48x + 65. g(x) = 8x^2 – 48x + 72 - 72 + 65. g(x) = (8x^2 – 48x + 72) - 7. g(x) = (8 * x^2 – 8 * 6x + 8 * 9) - 7. g(x) = 8(x^2 - 6x + 9) - 7. g(x) = 8(x - 3)^2 - 7. The function is now in the form a(x – h)^2 + k, where a = 8, h = 3, and k = -7. Thus, the vertex is (3, -7).

Answer:

the answer is B

Step-by-step explanation:

Ralph spends 15 1/3 hours per month playing tennis. How many hours does he play in a year?A.)164 1/3
B.)182 2/3
C.)164
D.)184

Answers

1\ month\ \rightarrow\ \ 15 (1)/(3) \ hours\n12\ months \ \rightarrow\ x\n\nx=12\cdot 15 (1)/(3)\n\nx=12\cdot15+12\cdot (1)/(3) \ \ \ \Rightarrow\ \ \ x=180+4=184\ [hours]\n\nAns.\ In\ the\ year\ he\ play\ 184\ hours\ \ \ \Rightarrow\ \ \ D.
Multiple hours per month by the months per year.

In this case, 15.33333 by 12 = 184

Simplify the radical expression sqrt 7+3 sqrt 7

Answers

4√(7)

This is because there is an imaginary 1 in front of the first sqrt. 
√7+3√7 = 4√7
thus answer is 4√7

Victoria needs material for her sewing project. She buys 4.50 yards of material at $4.30 per yard. What is the total cost of the material? You must show your work to receive all possible points. es )​

Answers

Answer:

Unit price= $4.30 create equation x= 4.50y

where x= total cost and y= $4.30

solve by multiplying $4.30x 4.50

x=$19.35

final answer: the total cost of the material was $19.35

Step-by-step explanation:

Which one of the following numbers is a multiple of 8?A. 512
B. 98
C. 124
D. 27

Answers

A.512 because when you divide it by eight you get 64.
if you divide 512 by 8 you get 64 and 64 is a multiple of 8. so your answer is 512