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Dmitriy789 [7]
3 years ago
7

Use one sided limits to evaluate the following limit. lim x->4 (x-4)(x+1)

Mathematics
1 answer:
kiruha [24]3 years ago
4 0

Answer:

\lim_{x\to4}{(x -4)(x +1)} = 0\\

Step-by-step explanation:

\lim_{x\to4}{(x -4)(x +1)} \\ (4 -4)(4 +1) \\ (0)(5) \\ 0

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3 0
3 years ago
The following cylinder has a height of 7.2 and diameter of 6.8.
Leni [432]

Answer:

261.3cm3

Step-by-step explanation:

3 0
3 years ago
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I need help please. If you are correct, I will give you Brainliest.
earnstyle [38]

Answer:

(C) 220

Step-by-step explanation:

Let x represent the number of adult tickets sold and y represent the number of student tickets sold. With the information given, we can set up two equations:

x+y=360

5x+3y=1360 (Since for every adult ticket sold, $5 is made and for every student ticket sold, $3 is made)

In the first equation, we can represent x in terms of y:

x=360-y

And then, we can substitute x in the second equation for 360 - y to get:

5(360-y)+3y=1360 which simplifies to:

1800-2y=1360 and therefore, y=220.

Hope this helps :)

5 0
3 years ago
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
Evaluate the expression 3(7 + 4)2 − 14 ÷ 7. (5 points)
Kitty [74]
<span>3(7 + 4)2 − 14 ÷ 7

First do the parenthesis

7 + 4 = 11

so the question looks like: 3(11)2 - 14/7

Then multiply 3, 11, and 2 together

3 x 11 x 2 = 66

66 - 14/7

14/7 equals to 2

66 - 2 

Then just simplify

66 - 2 = 64

64 is your answer

hope this helps</span>
3 0
3 years ago
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