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sweet-ann [11.9K]
3 years ago
15

Evaluate the expression 10x^-2y^-1 if x= -2, y = 1

Mathematics
1 answer:
Talja [164]3 years ago
6 0

10x^-2y^-1.

Plug -2 in for x and 1 in for y.

10(-2)^-2(1)^-1 = 0.25 or 1/4

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Determine the intercepts of the function f(x)=2x^2+18x+28
Sonja [21]
The intercepts are -2 and -7 on the x-axis
7 0
3 years ago
Is 0.7777.... a rational or irrational number and why
xxTIMURxx [149]

Answer:

irrational.

Step-by-step explanation:

0.7777... repeats and does not end so it is irrational

6 0
3 years ago
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Given: A, B, and C What is the value of X in the matrix equation AX + B = C?
Ksju [112]

Answer:

Option (2)

Step-by-step explanation:

Given expression is, AX + B = C

A=\begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}

B=\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix}

C=\begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}

AX + B = C

AX = C - B

C - B = \begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}-\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix} = \begin{bmatrix}-42+7 & -20+9\\ 5-4 & 4+1\end{bmatrix}

C - B = \begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}

Let  X=\begin{bmatrix}a & b\\ c & d\end{bmatrix}

AX = \begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}\times \begin{bmatrix}a & b\\ c & d\end{bmatrix}

     = \begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}

Since AX = C - B

\begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}=\begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}

Therefore, a = 1, b = 5

(-3a - 4c) = -35

3(1) + 4c = 35

3 + 4c = 35

4c = 32

c = 8

And (-3b - 4d) = -11

3(5) + 4d = 11

4d = -4

d = -1

Therefore, Option (2). X = \begin{bmatrix}1 & 5\\ 8 & -1\end{bmatrix} will be the answer.

7 0
3 years ago
Her jump rope Ella can make 17 jumps in 15 second.at this rate how make jumps can she make in20 minute?
shtirl [24]

Answer:

1360

Step-by-step explanation:

there are 1200 seconds in 20 minutes. if Ella can do 17 jumps in 15 seconds, you would divide 1200 by 15 (which equals 80) because that would be the number of 15 seconds in 20 minutes. then you would divide 80 by 17, which gives you your final answer of 1360 jumps in 20 minutes.

5 0
2 years ago
The perimeter of a rectangular garden is 290 feet. If the width of the garden is 62 feet, what is its length?
olga2289 [7]

Answer:

83

Step-by-step explanation:

Remember that the perimeter of a rectangle is two times the width plus two times the length. In other words:

2W + 2L = P

We know that the perimeter is 290 and the width is 62. We can plug these into the equation and solve for L.

2(62) + 2L = 290

124 + 2L = 290

Subtract 124 from both sides.

2L = 166

Divide both sides by 2.

L = 83

So now we know that the length is 83 feet.

I hope you find my answer and explanation to be helpful. Happy studying.

5 0
3 years ago
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