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3 years ago

Solve for x: 4|2x − 2| + 10 = 34.

Mathematics

2 answers:

ELEN [110]3 years ago

8 0

Your answer would be X=4,-2

fiasKO [112]3 years ago

5 0

Remark
This will have 2 solutions. I will enclose a graph to show how it is done.
4|2x - 2| + 10 = 34 Subtract 10

Solution
4|2x - 2| = 34 - 10
4|2x - 2| = 24 Divide by 4
|2x - 2| = 24/4
|2x - 2| = 6

Solution 1
2x - 2 = 6 Add 2
2x = 6 + 2
2x = 8 Divide by 2
x = 8/2
x = 4

Solution 2
Make the 6 into - 6 and solve again
|2x - 2| = - 6
2x - 2= -6 Add 2 to both sides.
2x = - 6 + 2
2x = - 4 Divide by 2
x = - 4/2
x = - 2

Answer
There are 2 solutions
(-2,0) and (4,0) See the graph below.

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snow_lady [41]

Answer: the answer is a

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4 years ago

The director of a health clinic has a quarterly budget of $600,000. She

nalin [4]

The meaning of this problem is that with 7 nurses they can only hire D=13.25

<h3>What is the meaning of this problem.?</h3>

Generally, the equation for the model is mathematically given as

$P=1000D^{0.6}N^{0.3}$

Therefore,

$dv/dD=0.6*1000*D^{0.4}N)^{0.3}$

$dv/dD=600* \frac{N6.1}{D6.1}=0$

Also

$dv/dN=300* \frac{N6.8}{N6.7}=0$

Equations 1 and 2

$300* \frac{D6.8}{N6.7}=600* \frac{N6.1}{D6.1}$

.sub D=(60N)/4

$300* \frac{((60N)/4)6.8}{N6.7}=600* \frac{N6.1}{((60N)/4)6.1}$

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solve for D

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D=13.25

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2 years ago

Tyrell's SAT math score was in the 64th percentile. If all SAT math scores are normally distributed with a mean of 500 and a sta

jarptica [38.1K]

Answer:

$P(x < 535.8) = 0.64$

$P_{64} = 535.8$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 500

Standard Deviation, σ = 100

We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.64

P(X<x) = 0.64

$P( X < x) = P( z < \displaystyle\frac{x - 500}{10})=0.64$

Calculation the value from standard normal z table, we have, $p(z$

$\displaystyle\frac{x - 500}{100} = 0.358\\x = 535.8$

$P(x < 535.8) = 0.64$

$P_{64} = 535.8$

8 0

3 years ago

2 2/5% as a fraction

fiasKO [112]

Answer:

3/125

Step-by-step explanation:

2 2/5 divided by 100

12/5 divided by 100

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6 0

3 years ago

Read 2 more answers

To find the distance across the river, the given diagram is laid out. what is the distance rounded to the nearest meter?

kati45 [8]

Given:

Angle A = 18.6°

Angle B = 93°

Length of side AB = 646 meters

To find:

the distance across the river, distance between BC

Steps:

Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.

18.6° + 93° + ∠C = 180°

111.6° + ∠C = 180°

∠C = 180° - 111.6°

∠C = 68.4°

Therefore the measure of angle C is 68.4°.

now we can use the law of Sines,

$\frac{BC}{sinA}=\frac{AB}{SinC}$

$\frac{BC}{sin(18.6)}= \frac{646}{sin(68.4)}$

$BC[sin(68.4)] = 646 [sin(18.6)]$

$BC = \frac{646*sin(18.6)}{sin(68.4)}$

$BC = \frac{646 * 0.3190}{0.9298}$

$BC = 221.63$

$BC = 222$ meters

Therefore, the distance across the river is 222 meters.

Happy to help :)

If anyone need more help, feel free to ask

7 0

3 years ago