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denis-greek [22]
4 years ago
8

Solve the inequality and graph the solution. |x + 7| − 15 < 8

Mathematics
1 answer:
svet-max [94.6K]4 years ago
4 0

Answer:

Inequality Form:

−30<x<16

Interval Notation:

(−30,16)

Step-by-step explanation:

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Answer:

24 inches squared

Step-by-step explanation:

6x8 divided by 2 is 24in2

6 0
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Solve the system of linear equations by substitution
elena-s [515]
There is the equal values method, so you can do:

x-4 = 4x-10 (remove x from both sides)
-4 = 3x -10 (add ten to both sides)
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Check: (by plugging it into the equation)
y = 2-4 and y = 8-10
y = -2 and y = -2
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 YOUR ANSWER IS:
(2, -2)

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7 0
3 years ago
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10. Given matrices A, B, and C below, perform the indicated operations if possible. If the operation is not possible, explain wh
Artemon [7]

Answer(a):

Order of matrix A = 3x3 {because number of rows=3, number of columns=3}

Order of matrix B = 3x3

Order of matrix C = 1x3


3A will be of order 3x3 because multiply by scalar doesn't change the order. Which is same as the order of matrix B.

So 3A+B is possible.

We simply multiply all elements of A with 3 and add them with corresponding elements of B.

3\begin{bmatrix}2 &  -1& 0\\ 0 &  5& 0.3\\ 1 &  4&10 \end{bmatrix}+\begin{bmatrix}5 &  0& 2\\ 1 &  -3& 9\\ 2 &  0& 4\end{bmatrix}= \begin{bmatrix}11 &  -3& 2\\ 1 &  12& 9.9\\ 5 &  12& 34\end{bmatrix}


Answer(b):

2B will be of order 3x3 because multiply by scalar doesn't change the order. Which is NOT same as the order of matrix C.

So 2B+C is NOT possible.

Answer(c):

CA is possible only if

number of columns of C = number of columns of A

3=3

which is true hence CA is possible.

\begin{bmatrix}1 &3  &5 \end{bmatrix}*\begin{bmatrix}2 &  -1& 0\\ 0 &  5& 0.3\\ 1 &  4&10 \end{bmatrix}=\begin{bmatrix}1*2+3*0+5*1 & 1*-1+3*5+5*4 & 1*0+3*0.3+5*10\end{bmatrix}

= \begin{bmatrix}7 &  34& 50.9\end{bmatrix}

<em><u>If the matrix is not visible properly then look at the attached picture.</u></em>

5 0
3 years ago
Find the volume of the cone
r-ruslan [8.4K]
3 multiplied by 5 is 15 times 2 is 30 that should be ur answer
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3 years ago
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Desire conducts a survey of all 800 students in her school to find their favorite berry. She graphs the results of the survey th
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Answer:

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3 0
3 years ago
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