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denis23 [38]
3 years ago
13

Solve for x: −4|x + 5| = −16

Mathematics
1 answer:
Annette [7]3 years ago
3 0
-4 | x + 5 | = -16...divide both sides by -4, eliminating it on the left side
| x + 5 | = -16/-4
| x + 5 | = 4

x + 5 = 4           -(x + 5) = 4
x = 4 - 5            -x - 5 = 4
x = -1                 -x = 4 + 5
                          -x = 9
                           x = -9

solutions : x = -1 , x = -9
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Hey please answer the 3 questions attached, thank you very much!
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Answer:

a) negative correlation b) Diagram C (I think) c) Diagram b

Step-by-step explanation:

a) Negative= line going dow

Positive= line going up

no correlation= no line

b) the dots are to close to each other which mean it has a string correlation.

c)Its no correlation, so line should not be drawn

7 0
3 years ago
The volume of a rectangular prism whose dimensions are binomials with integer coefficients is modeled by the function V(x) = x^3
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Answer:

The missing dimension of the prism is (x-4)

Step-by-step explanation:

Here, we want to find the missing dimensions of the prism

To get the volume, we are to multiply three dimensions since we are talking about volume

Mathematically, to find the third dimension, we need to divide the original polynomial by the product of the two other dimensions

The product of the two other dimensions is;

(x-1)(x-9) = x^2-9x-x + 9

= x^2-10x+ 9

So we divide;

(x^3-14x^2+49x-36)/(x^2-10x+ 9)

We can use long division to get this

using long division, the answer here is x-4

5 0
3 years ago
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An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lin
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Lim x tends to π÷2 , then what is the value of (tanx + cotx) ÷ ( tanx - cotx)​
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(tan(<em>x</em>) + cot(<em>x</em>)) / (tan(<em>x</em>) - cot(<em>x</em>)) = (tan²(<em>x</em>) + 1) / (tan²(<em>x</em>) - 1)

… = (sin²(<em>x</em>) + cos²(<em>x</em>)) / (sin²(<em>x</em>) - cos²(<em>x</em>))

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8 0
2 years ago
In a recent​ year, 304 of the approximately​ 300,000,000 people in the United States were struck by lightning. Estimate the prob
umka2103 [35]

Answer:

\frac{19}{18,750,000}=0.0000010133333333

Step-by-step explanation:

We have been given that in a recent​ year, 304 of the approximately​ 300,000,000 people in the United States were struck by lightning.

\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Number of possible outcomes}}

\text{P( A randomly selected person in the United States will be struck by lightning this year)}=\frac{304}{300,000,000}

\text{P( A randomly selected person in the United States will be struck by lightning this year)}=\frac{19}{18,750,000}

\text{P( A randomly selected person in the United States will be struck by lightning this year)}=0.0000010133333333

Therefore, the probability that a randomly selected person in the United States will be struck by lightning this year is \frac{19}{18,750,000}=0.0000010133333333.

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