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Neporo4naja [7]
4 years ago
12

What is the answer to 2x/3+x/5=13

Mathematics
1 answer:
erastova [34]4 years ago
4 0

Answer:

X=15

Step-by-step explanation:

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Find the inverse of the function y=2x^2+2
Tatiana [17]

The inverse of the function is y = \sqrt{\frac{x - 2}{2}}


In order to find this, you must start by switching the y and x values. Once you do this, you can solve for the new y value and that will be in inverse. The work is done for you below.


y = 2x^2 + 2 ---> switch x and y

x = 2y^2 + 2 ---> subtract 2 from both sides

x - 2 = 2y^2 ---> divide both sides by 2

\frac{x-2}{2} = y^2 ---> take the square root of both sides.

\sqrt{\frac{x - 2}{2}} = y


3 0
3 years ago
A) What is the equation of the line that passes through the given pair points in slope-intercept form?
lesya [120]

A)

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (2, 5.1) and (-1, -0.5). Substitute:

m=\dfrac{-0.5-5.1}{-1-2}=\dfrac{-5.6}{-3}=\dfrac{5.6}{3}=\dfrac{56}{30}=\dfrac{28}{15}

Therefore we have:

y=\dfrac{28}{15}x+b

Put the coordinates of the point (-1, -0.5) ot the equation:

-0.5=\dfrac{28}{15}(-1)+b

-0.5=-\dfrac{28}{15}+b     <em>multiply both sides by 2</em>

-1=-\dfrac{56}{15}+2b       <em>add \dfrac{56}{15} to both sides</em>

\dfrac{41}{15}=2b            <em>divide both sides by 2</em>

b=\dfrac{41}{30}

Answer: \boxed{y=\dfrac{28}{15}x+\dfrac{41}{30}}

-------------------------------------------------------------------------

B)

We have the points (-2, 3) and (3, -4).

Calculate the slope:

m=\dfrac{-4-3}{3-(-2)}=\dfrac{-7}{5}=-\dfrac{7}{5}

Therefore we have:

y=-\dfrac{7}{5}x+b

Put the coordinates of the point (-2, 3) to the equation of a line:

3=-\dfrac{7}{5}(-2)+b

\dfrac{15}{5}=\dfrac{14}{5}+b              <em>subtract \dfrac{14}{5} from both sides</em>

\dfrac{1}{5}=b\to b=\dfrac{1}{5}

Answer: \boxed{y=-\dfrac{7}{5}x+\dfrac{1}{5}}

7 0
4 years ago
A Iine passes through the point (9,-8) and has a slope of
baherus [9]

Answer:

y = 2/3x + b

(Find b first with the steps below)

Step-by-step explanation:

The equation is y = mx + b and m is the slope. You were already given the slope and you were even given a point. All you have to do is graph the point and use the slope until it intercepts the y-axis.

  1. Plot the point (9,-8)
  2. Go up 2, left 3 spots until the line hits the y-axis (the vertical one)
  3. That point is what b will be equal to in y = mx + b
5 0
4 years ago
the reproductive process that creates genetic variety in a population is a.asexual reproduction b.cloning c.sexual reproduction
Ber [7]
A. because asexual reproduction creates many at the same time and all of them can be very different.

4 0
4 years ago
Read 2 more answers
The quotient of the difference between 5 and a number n and 2 write an algebraic expression that models each word phrase
dexar [7]

"÷" quotient

"-" difference

(5 - n) ÷ 2 = (5 - n)/2

7 0
4 years ago
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