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emmasim [6.3K]
2 years ago
9

Which of the following equations represents the linear relationship shown in the table below?

Mathematics
1 answer:
Sphinxa [80]2 years ago
6 0

Answer:

B

Step-by-step explanation:

The equation is:

y = 2x + 3

Put x as 2.

y = 2(2) + 3

y = 4 + 3

y = 7

Put x as 3.

y = 2(3) + 3

y = 6 + 3

y = 9

Put x as 4.

y = 2(4) + 3

y = 8 + 3

y = 11

Put x as 5.

y = 2(5) + 3

y = 10 + 3

y = 13

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beks73 [17]

Size of the rectangle is changed, so it cannot be a translation.

This is a dilation, so Teagan is correct.

C. Teagan is correct because the unshaded rectangle is smaller than the shaded rectangle.

5 0
3 years ago
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Add 2x4 - 6x3 + 5x to the difference between 9x3 + 8x2 - 2 and 4x4 - 2x2 + 8x - 5.
DedPeter [7]

Simplify (x3 +  3x2 + 5x – 4) –  (3x3 – 8x2 – 5x + 6)

The first thing I have to do is take that "minus" sign through the parentheses containing the second polynomial. Some students find it helpful to put a "1" in front of the parentheses, to help them keep track of the minus sign.

Here's what the subtraction looks like, when working horizontally:

(x3 + 3x2 + 5x – 4) – (3x3 – 8x2 – 5x + 6)

(x3 + 3x2 + 5x – 4) – 1(3x3 – 8x2 – 5x + 6)

(x3 + 3x2 + 5x – 4) – 1(3x3) – 1 (–8x2) – 1(–5x) – 1(6)

x3 + 3x2 + 5x – 4 – 3x3 + 8x2 + 5x – 6

x3 – 3x3 + 3x2 + 8x2 + 5x + 5x – 4 – 6

–2x3 + 11x2 + 10x –10

And here's what the subtraction looks like, when going vertically:

x

3

−(3x

3

​

 

+3x

2

−8x

2

​

 

+5x

−5x

​

 

−4

+6)

​

​

In the horizontal addition (above), you may have noticed that running the negative through the parentheses changed the sign on each and every term inside those parentheses. The shortcut when working vertically is to not bother writing in the subtaction sign or the parentheses; instead, write the second polynomial in the second row, and then just flip all the signs in that row, "plus" to "minus" and "minus" to "plus".

\

x

3

–3x

3

−2x

3

​

 

+3x

2

+8x

2

+11x

2

​

 

+5x

+5x

+10x

​

 

−4

–6

−10

​

​

Either way, I get the answer:

–2x3 + 11x2 + 10x – 10

4 0
2 years ago
What is the sum<br><br> 56+90=_____
kaheart [24]

Answer:

146

Step-by-step explanation:

7 0
2 years ago
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20 POINTS
denis-greek [22]

Answer:

c. 441ft^2

Step-by-step explanation:

Area is height times length and since it's a square, safe to say that the sides are equal in length. So square root both of the given areas of the 2 square:

\sqrt{841} = 29

\sqrt{400} = 20

Now u have side b and c of the triangle, it's a right triangle so use the Pythagorean theorem a^2 + b^2 = c^2

a^2 + b^2 = c^2

a^2 + 20^2 = 29^2

a^2 + 400 = 841

subtract 4 from both sides

a^2 = 441

square root both sides

\sqrt{a^2} = \sqrt{441}

a = 21

Now the side a of the triangle is also a side of the small square therefore

21^2 = 441

8 0
2 years ago
Generalize the pattern by finding the nth term 2, 6, 12, 20...
Nastasia [14]
32, 38, so on. So its +4 then +8 then +12 +16 +20....
8 0
3 years ago
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