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Lerok [7]
3 years ago
11

Which of the following graphs shows the solution to the system of equations?

Mathematics
2 answers:
rusak2 [61]3 years ago
7 0
The answer is D for the question above.
REY [17]3 years ago
4 0

Answer:

The graph which shows the solution to the system of equations

y = 5x – 1  

y = x + 3  is:

Graph D

Step-by-step explanation:

We are given system of equations:

y = 5x – 1  

y = x + 3

on subtracting first equation by second, we get

0=4x-4

i.e. x=1

when x=1 y=4

Hence, solution of this system of equation is:

(1,4)

Which is represented by graph D

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Express y-4[y-3(y-2)] -5 in simplest form
Oksi-84 [34.3K]

Answer:

y^3 - 9y^2 + 26y - 29

Step-by-step explanation:

y - 4[y - 3(y - 2)] - 5

I'm going to separate it into parts

(y - 3)(y - 2)

y^2 - 5y + 6

(y - 4)(y^2 - 5y + 6)

y^3 - 5y^2 + 6y - 4y^2 + 20y - 24

y^3 - 9y^2 + 26y - 24

y^3 - 9y^2 + 26y - 24 - 5

y^3 - 9y^2 + 26y - 29

7 0
3 years ago
Find the area of a triangle
kupik [55]

Area of a triangle = (h × b) ÷ 2, where h is height and b is the base.

7.1 × 28 = 198.8

198.8 ÷ 2 = 99.4

The area of this triangle is 99.4 yd²

8 0
3 years ago
Read 2 more answers
The system of equations y = one-fourth x minus 5 and y = negative one-half x minus 3 is shown on the graph below. Which statemen
inna [77]

Answer:

The x-value is between 2 and 3, and the y-value is between –4 and –5.

Step-by-step explanation:

The system of equations y = (1/4)x - 5 and y = -(1/2)x - 3.

The solution of the equation is the point of intersection of the two lines, from the graph, the intersection of the red and blue lines which represent the equation of the lines has an x-value is between 2 and 3, and the y-value is between –4 and –5.

Also the solution of the equation can be solved by solving the two equations simultaneously:

y = (1/4)x - 5    .          .          .     1)

y = -(1/2)x - 3    .          .          .      2)

Subtracting equation 2 from 1:

0 = (3/4)x - 2

(3/4)x = 2

x = 2 × 4/3

x = 8/3 = 2.67

x = 2.67

To find y put x = 2.67 in equation 1:

y = (1/4)(8/3) - 5

y = 8/12 - 5

y = -13/3

y = -4.33

8 0
3 years ago
Identify the similar triangles. Then find each measure.
nikitadnepr [17]

Answer:

x = 30

Step-by-step explanation:

\frac{26}{26 + 13}  =  \frac{20}{x}  \\  \frac{26}{39}  =  \frac{20}{x}  \\ 26x = 20(39) \\ 26x = 780 \\ x =  \frac{780}{26}  \\ x = 30

7 0
3 years ago
Box A has a volume of 12 cubic meters. Box B is similar to Box A. To create Box B, Box A's dimensions were multiplied by five. W
maks197457 [2]
Box a = 12m^3
Box b =12m^3 times 5^3, so box b is 12 times 125 or 1500
At least I believe that this is correct
6 0
3 years ago
Read 2 more answers
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