Answer:
For the first question, the answer is 4/3. For the second it is 16.
Step-by-step explanation:
I just took the quiz! Can I please have Brainliest? Hope this helped!
<span>12(5y+4)
= 12(5y) + 12(4)
= 60y + 48
hope it helps</span>
Answer: choice D) 20
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Explanation:
Locate 3 on the x axis number line. Draw a vertical line through 3 and this vertical line will cross the parabola at some point P. Mark this point P on the parabola. Then draw a horizontal line from P to the y axis. The horizontal line will land on y = 10. In short, this all shows us that (3,10) is a point on this parabola.
Repeat those steps above, but now for x = 7. You'll see that (7,90) is another point on this parabola.
We need to find the slope of the line through the two points (3,10) and (7,90). The average rate of change from x = 3 to x = 7 is the same as the slope of the line through those two points.
To find the slope, we use the slope formula
m = (y2 - y1)/(x2 - x1)
where (x1,y1) and (x2,y2) are the two points, and m is the slope
In this case,
(x1,y1) = (3,10) and (x2,y2) = (7,90)
further breaking down to
x1=3
y1=10
x2=7
y2=90
So we'll plug those four pieces of info into the equation and simplifying to get...
m = (y2 - y1)/(x2 - x1)
m = (90 - 10)/(7 - 3)
m = 80/4
m = 20
The slope of the line is 20, so therefore, the average rate of change is 20.
Answer:
y = - 2x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (5, - 3 )
m = 
= 
= - 2
The line crosses the y- axis at (0, 7 ) ⇒ c = 7
y = - 2x + 7 ← equation of line
Step-by-step explanation:
x+y=17 (First equation)
x-y=3 (Second equation)
Solving Equation (i)
x+y=17
x=17-y(First equation)
Putting value of x in equation (ii)
x-y=3
x=3+y
17-y=3+y
17=3+y+y
17=3+2y
2y=17-3
y=14/2
y=7
Putting value of y in equation(i)
x=17-y
x=17-7
x=10
