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Alekssandra [29.7K]
3 years ago
15

Help me simplify this question for me

Mathematics
2 answers:
olchik [2.2K]3 years ago
7 0

Answer:

Step-by-step explanation:

Given

4x + 7y = 14

7y = - 4x + 14

y = \frac{-4x + 14}{7}

y = \frac{-4x}{7} + \frac{14}{7}

y = \frac{-4x}{7} + 2

Hope it helps :)

Gnoma [55]3 years ago
4 0
The answer is y= -4/7x+2

explanation
1. subtract 4x from both sides
2. divide every term by 7
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Jeremy’s pay started at a $500 per week. Every year his pay will increase by $25 per week. Write an equation that models his wee
algol [13]

Answer:

W = 500 + 25x

Step-by-step explanation:

Jeremy’s pay started at $500 per week. Every year his pay will increase by $25 per week.

Now, after x years his pay per week will increase by $(25x).

Therefore, if we model the weekly payment of Jeremy by an equation, then it will be given by

W = 500 + 25x

where W is his weekly payment after x years. (Answer)

8 0
3 years ago
A slice is made parallel to the base of a square pyramid.
Ivanshal [37]

Answer:

a) Triangle.

b) Triangle.

c) The area is 110 cm.

Step-by-step explanation:

The shape is given because it is a cross section of a Pyramid which we can see shaded in grey.

The area is given by the base times hight devided by 2. So 10cm * 22cm/2= 110cm.

Hope this helped ;)

6 0
2 years ago
Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800. A researcher from the a
Doss [256]

Using the z-distribution, it is found that she should take a sample of 46 students.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

The margin of error is:

M = z\frac{\sigma}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the population.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800, hence, by the Empirical Rule the standard deviation is found as follows:

6\sigma = 800 - 200

6\sigma = 600

\sigma = 100

The sample size is n when M = 29, hence:

M = z\frac{\sigma}{\sqrt{n}}

29 = 1.96\frac{100}{\sqrt{n}}

29\sqrt{n} = 196

\sqrt{n} = \frac{196}{29}

(\sqrt{n})^2 = \left(\frac{196}{29}\right)^2

n = 45.67.

Rounding up, a sample of 46 students should be taken.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

4 0
2 years ago
Is (1, 4) a solution to the equation y = 7x?
wolverine [178]

Answer:

No.

Step-by-step explanation:

No because if we substitute the given values into the equation they do not fit:

y = 7x

x = 1 and y = 4:

Left side = 4

right side = 7*1 = 7.

8 0
3 years ago
Please don’t skip over me! <br><br> show all work
aleksklad [387]

Answer:

a,c,d

Step-by-step explanation:

a. \\4i^9+4i^7\\=4i(i^2)^4+4i(i^2)^3\\=4i(-1)^4+4i(-1)^3\\=4i-4i\\=0\\b.\\2i^{18}-3i^{11}\\=2(i^2)^9-3i(i^2)^5\\=2(-1)^9-3i(-1)^5\\=-2+3i\\c.\\7i^{36}-11i^{11}-11i^9\\=7(i^2)^{18}-11i(i^2)^5-11i(i^2)^4\\=7(-1)^{18}-11i(-1)^5-11i(-1)^4\\=7+11i-11i\\=7\\d.\\8i^{22}-1\\=8(i^2)^{11}-1\\=8(-1)^{11}-1\\=-8-1\\=-9

e.

2i^{27}+4\\=2i(i^2)^{13}+4\\=2i(-1)^{13}+4\\=-2i+4

7 0
3 years ago
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