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irakobra [83]
2 years ago
14

What is the solution to the system of equations?​

Mathematics
1 answer:
lyudmila [28]2 years ago
4 0
  • y=5x+2--(1)

3x=-y+10

  • y=-3x+10--(2)

Equating both

  • 5x+2=-3x+10
  • 8x=8
  • x=1

Put in first one

  • y=5(1)+2
  • y=7

Solution is (1,7)

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2. What is the relative frequency of a student choosing the aquarium? Give your
Andreyy89

Answer:

What is the relative frequency of a student choosing the aquarium? Give your

answer as a decimal rounded to the nearest hundredth. (The hundreths place is two

decimal places. For example, .9543 would be rounded to .95)

Step-by-step explanation:

5 0
3 years ago
find the slope of the line containing the points (-1,6) and (3,5) put final.answer in slope-intercept form
Ugo [173]

Given the points (-1,6) and (3,5).

The formula to find the slope is

m=\frac{y_2-y_1_{}}{x_2-x_1}

Take

x_1=-1,y_1=6,x_2=3,y_2=5

Plug the values into the formula and find the slope.

\begin{gathered} m=\frac{5-6}{3-(-1)} \\ =\frac{-1}{4} \end{gathered}

The slope-intercept form is y = mx+b.

Plug the value of m.

y=-\frac{1}{4}x+b

ThusConsider the point (-1,6). Substitute -1 for x and for y into the equation.

\begin{gathered} 6=-\frac{1}{4}(-1)+b \\ =\frac{1}{4}+b \\ b=6-\frac{1}{4} \\ =\frac{23}{4} \end{gathered}

Thus, the equation of the line in slope intercept form is

y=-\frac{1}{4}x+\frac{23}{4}

3 0
11 months ago
A charity is selling raffle tickets at $10 apiece. Ten third-place winners will be drawn, each winning $20. Five second-place wi
lara31 [8.8K]
<span>In order to find the expected value, we must calculate the average returns on each ticket. So After doing this, we can say that each ticket will cost $6.50. I hope this is what you were looking for </span>
5 0
3 years ago
Apply the distributive property to the expression 7(2x - 8y - 6) to produce an equivalent expression.
MaRussiya [10]

Answer:

14x-56y-42

Step-by-step explanation:

Given data

We have the expression

7(2x - 8y - 6)

Open the bracket we have

14x-56y-42

Hence the equivalent expression is

14x-56y-42

4 0
2 years ago
The marginal cost function of producing q mountain bikes is 600/0.3q+5.
wariber [46]
MArginal cost is the adjustment in all out cost that emerges when the amount created changes by one unit.(In another word subordinate of cost wrt unit) 
So we coordinate to get Cost work 
∫30 600/0.3q+5 (dq) 0
we get 9798.66 from joining. 
We add that to settle cost 2059.23+2200=4259.24 
So 4259.24 is the cost. 
Income from offering the bicycle is 205*30=6150 
and Profit=Revenue-Cost 
6150 - 4259.24=1890.76 
Presently Marginal Profit 
MArginal benefit is the term used to allude to the contrast between the minor cost the peripheral income for delivering one extra unit of creation. 
Marginal Profit=Marginal Revenue-Marginal Cost 
Marginal Cost=600/0.3q+5. 
We should connect to 31 to get 41.958 
Revenue= 205q 

Marginal rev=205 
Marginal Profit = 205-41.958=163.042

4 0
3 years ago
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