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3 years ago

2 questions! solve the linear system using substitution. SHOW WORK HELP ME PLEASE

Mathematics

1 answer:

pav-90 [236]3 years ago

6 0

Get y in terms of x then substitute the expression into the other equation.

#7.
y - 2x = -6
y = 2x -6
y gets substituted for 2x - 6
5x - (2x - 6) = 9
5x - 2x + 6 = 9
3x + 6 = 9
3x = 9 - 6
3x = 3
x = 1
use this to find the other one
y - 2(1) = -6
y - 2 = -6
y = 2 - 6
y = -4

#8.
3y + x = 2
x = 2 - 3y
substitute x for 2 - 3y in the second equation
y - (2 - 3y) = -6
y - 2 + 3y = -6
4y - 2 = -6
4y = 2 - 6
4y = -4
y = -1
use this to find the other one
-1 - x = -6
-x = 1 - 6
-x = -5
x = 5

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Tell whether each function is linear or non-linear.

MrMuchimi

Answer:

Function A is non-linear and Function B is linear.

Step-by-step explanation:

Linear function:

Has the following format:

y = mx + b

In which m is the slope and b is the y-intercept.

In a linear function, when x changes by 1, y will always changes by the same amount.

Function A:

When x changes by 1, y can change by various amounts. So function A is non-linear.

Function B:

y = -x + 5

In the format of a linear function, so linear

3 0

3 years ago

5/8 + 3/5 greater than 1 or less than 1

Alex73 [517]

Answer:

Step-by-step explanation:

5/8 + 3/5 =

25/40 + 24/40 =

49/40 = 1 9/40

its greater then 1

8 0

4 years ago

The diagram represents a dilation with a center at P. If the scale factor of e dilation is K, which statement about the diagram

boyakko [2]

Answer:

C is correct. If the scale factor is greater than 1, the image is an enlargement. The segment UT could be an enlargement of the segment ST.

Step-by-step explanation:

A. If > 1, then the image of could be .

B. If 0 < < 1, then the image of could be . ( If the scale factor is between 0 and 1, the image is a reduction )

C. If > 1, then the image of could be .

D.If = 2, then the image of is itself.

A is not correct. If the scale factor is between 0 and 1, the image is a reduction.

B is not correct. If the scale factor is between 0 and 1, the image is a reduction.

C is correct. If the scale factor is greater than 1, the image is an enlargement.

D is not correct. If the scale factor is 1, the figure and the image are congruent.

8 0

3 years ago

A projector displays an image on a wall. the area(in square feet) of the rectangular projection can be represented by

andrew-mc [135]

Answer:

The height of the projection will be (x - 5) feet.

Step-by-step explanation:

A projector displays an image on a wall. The area (in square feet) of the rectangular projection can be represented by (x² - 8x + 15).

Now to get the width and the height of the rectangular projection we have to factorize the expression (x² - 8x + 15).

Here, (x² - 8x + 15)

= x² - 3x - 5x + 15

= (x- 3)(x - 5)

Now, if the height of the projection is less than its width then, the height of the projection will be (x - 5) feet. (Answer)

3 0

3 years ago

Exactly 120 tickets were sold for a concert. The tickets cost $12 each for adults, $10 each for seniors, and $6 each for childre

Gemiola [76]

A=adult tickets
c=chlderenticekts
s=sinior tickets

a=c

a+c+s=120
2a+s=120

total made is 1100
12a+6c+10s=1100
sub
a=c
12a+6a+10s=1100
add
18a+10s=1100

multiply first equation by -9 and add to other equation

-18a-9s=-1080
18a+10s=1100 +
0a+s=20

s=20
20 senior tickets were sold

answer is B

5 0

3 years ago