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astra-53 [7]
3 years ago
6

-5(3t-5)+7t=8t-6 solve.

Mathematics
1 answer:
saw5 [17]3 years ago
5 0
<span>-5(3t-5)+7t=8t-6
-15t + 25 + 7t = 8t - 6
-15t + 7t - 8t = -6 - 25
-16t = -31
16t = 31
t = 31/16 = 1.9375</span>
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Find the $x$-intercept of the line $3x - 5y = 7.$
kotegsom [21]

The x-intercept of the line 3x - 5y = 7 is at point ( 7/3, 0 ).

<h3>What is the x-intercept of the line?</h3>

Given the function;

  • 3x - 5y = 7
  • x-intercept ?

X-intercept occurs on the graph when y=0. Hence, to determine x-intercept, we substitute in 0 for y and solve for x.

3x - 5y = 7

3x - 5(0) = 7

3x - 0 = 7

3x = 7

x = 7/3

Hence, we have a point ( 7/3, 0 ).

The x-intercept of the line 3x - 5y = 7 is at point ( 7/3, 0 ).

Learn more about x and y-intercepts here: brainly.com/question/12791065

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Question 7 PLEASE HELP Describe the transformation from the graph of f(x)=x to the graph of g(x)=1/5x+4
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3 years ago
What is the answer to Q=1/2p+15, for p​
Mazyrski [523]

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Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    p-(2*q-30)=0  

Solve   p-2q+30  = 0

we have an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  p-2q+30  = 0 and calculate its properties

Notice that when p = 0 the value of q is 15/1 so this line "cuts" the q axis at q=15.00000

 q-intercept = 30/2  =  15

When q = 0 the value of p is -30/1 Our line therefore "cuts" the p axis at p=-30.00000

 p-intercept = -30/1  = -30.00000

Slope is defined as the change in q divided by the change in p. We note that for p=0, the value of q is 15.000 and for p=2.000, the value of q is 16.000. So, for a change of 2.000 in p (The change in p is sometimes referred to as "RUN") we get a change of 16.000 - 15.000 = 1.000 in q. (The change in q is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  1.000/2.000 =  0.500

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where m is a number between 1 and 10.

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