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natulia [17]
3 years ago
7

Which of the following is the correct expansion of (y + 1)(y2 + 2y + 3)?

Mathematics
1 answer:
bija089 [108]3 years ago
4 0

Use distributive property:

(a + b)(c + d) = ac + ad + bc + bd

(y + 1)(y² + 2y + 3) = (y)(y²) + (y)(2y) + (y)(3) + (1)(y²) + (1)(2y) + (1)(3)

= y³ + 2y² + 3y + y² + 2y + 3 = y³ + (2y² + y²) + (3y + 2y) + 3

= y³ + 3y² + 5y + 3

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3 years ago
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\sqrt{32-5\sqrt{2} }

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5 0
3 years ago
What is the y-intercept of the function, represented by the table of values
AleksandrR [38]

Answer:

9

Step-by-step explanation:

The table is given below

\left|\begin{array}{c|cc}x&y\\--&--\\-2&15\\1&6\\2&3\\4&-3\\7&-12\end{array}\right|

We can see that the table represents a linear function since by checking its slope.

Using:

  1. Points (-2,15) and (1,6)
  2. Points (1,6) and (2,3)

Slope =\dfrac{6-15}{1-(-2)} =\dfrac{3-6}{2-1}=-3

Therefore, the values represent a linear function.

A linear equation is of the form y=mx+b

Therefore:

y=-3x+b

Using the points (7,-12)

-12=-3(7)+b\\-12=-21+b\\b=-12+21\\b=9

Therefore, the y-intercept of the function, represented by the table of values is 9.

6 0
3 years ago
F(x) = x/4 - 3
Ilya [14]
First plug in the equations, then simplify/cancel out terms until you get the answer

4 0
2 years ago
IMAGE ATTACHED please help giving 50 points
alexdok [17]

Answer:

(4,1)

Step-by-step explanation:

when points are reflected on the y-axis you switch your x coordinate from positive to negative or the other way around the y coordinate stays the same.

(2,1) reflected is (-2,1)

(7,4) reflected is (-7,4)

(-8,-4) reflected is (8,-4)

so (-4,1) reflected is (4,1)

5 0
2 years ago
Read 2 more answers
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