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Arisa [49]
3 years ago
10

In this problem, substitute (x+1) in place of y in the second equation.​

Mathematics
1 answer:
netineya [11]3 years ago
3 0

Answer:

x = 8

Step-by-step explanation:

x + 2(x+1)=8

x+2x+2=8

x+2x=6

3x=6

x=6/3

x=2

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Find the inverse of the equation
zimovet [89]
The inverse of f(x)=  \frac{6x+5}{3x-1} is f(-1)= \frac{-x-5}{3(2-x)} I hope I helped
3 0
4 years ago
The head of the Westlane Cultural Center wants to get a sense of how quickly pledges from donors arrive at the center. It takes
Rzqust [24]

Answer:

95.64% probability that pledges are received within 40 days

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 28, \sigma = 7

What is the probability that pledges are received within 40 days

This is the pvalue of Z when X = 40. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{40 - 28}{7}

Z = 1.71

Z = 1.71 has a pvalue of 0.9564

95.64% probability that pledges are received within 40 days

7 0
3 years ago
The volume of a spherical tank is 790.272 pie cubic feet what is the diameter of the container
pochemuha

Answer:

The diameter is 13.88 feet.

Step-by-step explanation:

1. The formula for calculate the volume of a sphere is:

V=\frac{3}{4}(r^{3}\pi)

Where r is the radius.

2. The diameter is:

D=2r

3. So, you must solve for the radius in the first equation:

r=\sqrt[3]{\frac{4V}{3\pi}} 

r=\sqrt[3]{\frac{4(790.272ft^{3} )}{3\pi}}\\r=6.94ft

4. Then, the diameter is:

D=2(6.94ft)\\D=13.88ft


8 0
4 years ago
The life spans, in years, of some plants in a nursery are shown below:
yKpoI14uk [10]

Jack incorrect plotted the third quartile.

Explanation:

7 0
3 years ago
Read 2 more answers
ADHE - ADGF below. Find the value of 'x'.<br> X<br> H н<br> E<br> 8<br> 2.<br> 12
Vlad1618 [11]

Given:

\Delta DHE\sim \Delta DGF

To find:

The value of x.

Solution:

We know that, corresponding sides of similar triangles are proportional.

Since,\Delta DHE\sim \Delta DGF, therefore

\dfrac{HE}{GF}=\dfrac{DE}{DF}

On substituting the values from the figure, we get

\dfrac{8}{12}=\dfrac{x}{x+2}

\dfrac{2}{3}=\dfrac{x}{x+2}

On cross multiplication, we get

2(x+2)=3x

2x+4=3x

4=3x-2x

4=x

Therefore, the value of x is 4.

8 0
3 years ago
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