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GenaCL600 [577]
3 years ago
10

Simplify: (3x – 1) (x3 + 2x + 1)

Mathematics
2 answers:
Naddik [55]3 years ago
7 0

Answer:

3x^4-x^3+6x^2+x-1

Step-by-step explanation:

Distribute parentheses:

3xx^3 + 3x * 2x + 3x * 1 + (-1)x^3 + (-1) * 2x + (-1) * 1

Add minus and plus rules:

3x^3x + 3 * 2xx + 3 * 1 * x - 1 * x^3 - 1 * 2x - 1 * 1

Simplify:

3x^4-x^3+6x^2+x-1

pshichka [43]3 years ago
5 0

Answer:

B: 3x4-x3+6x2+x-1

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The graph of g(x) is a transformation of the graph of f(x)=4x .
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Answer:

g(x) = 4^x + 1.

Step-by-step explanation:

The graph of f(x) = 4^x  passes through the point (0, 1) because when x = 0, 4*0 = 1. Also when x = 1,  4^x=  4.  So it passes through (1, 4).

For g(x) we have corresponding points (0, 2) and (1, 5).

So we see that g(x) is a similar graph but it has been translated up 1 unit.

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What is 2+2 and what is your favorite song?<br>​
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Step-by-step explanation:

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cho tứ giác ABCD. Gọi M,N,P,Q là trung điểm của các cạnh AB, CD, AD, BC. Chứng minh rằng vecto MP = vecto QN, vecto MQ = vecto P
Dmitriy789 [7]

Answer:

Step-by-step explanation:

Xét tam giác DAB có: P là trung điểm AD, M là trung điểm AB

=> MP là đường trung bình của tam giác DAB => MP//BD và MP=\frac{1}{2}BD  (1)

Xét tam giác DBC có: N là trung điểm DC, Q là trung điểm BC

=> QN là đường trung bình của tam giác DBC => QN//BD và QN=\frac{1}{2}BD  (2)

Từ (1) và (2) => vecto MP song song cùng chiều với vecto QN

và độ dài MP = độ dài QN = \frac{1}{2}BD

=> vecto MP = vecto QN

Tương tự xét các tam giác DAC và tam giác ABC => vecto MQ = vecto PN

4 0
3 years ago
Steffie makes a scale drawing for a crate with the demensions 15 inches long by 12 inches wide. Her scale factor is 1:3. Brian m
rodikova [14]

Answer:

Dimensions → (5 inches × 4 inches)

Step-by-step explanation:

Scale factor used for the drawing by Steffie = \frac{1}{3}

Since, scale factor = \frac{\text{Dimension of the drawing}}{\text{Actual dimension}}

For Steffie,

Actual length of the crate = \frac{\text{Dimension of the drawing}}{\text{Scale factor}}

                                           = \frac{15}{\frac{1}{3}}

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                                         = 36 inches

Since Brian used the scale factor = \frac{1}{9}

Length of the drawing = Actual length × Scale factor

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                                    = 5 inches

Width of the drawing = Actual width × Scale factor

                                   = 36 × \frac{1}{9}

                                   = 4 inches

Therefore, dimensions of the drawing made by Brian are (5 inches × 4 inches)

6 0
3 years ago
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