Answer:
x-intercept is 24 , y-intercept is -16
Step-by-step explanation:
* Lets explain how to solve the problem
- The x-intercept is the x-coordinate of the point of intersection
between the graph of the equation and the x-axis ⇒ (x , 0)
- To find the x-intercept substitute the value of y in the equation by 0
- The y-intercept is the y-coordinate of the point of intersection
between the graph of the equation and the y-axis ⇒ (0 , y)
- To find the y-intercept substitute the value of x in the equation by 0
* Lets solve the problem
∵ 2x - 3y = 48
- To find the x-intercept substitute y by 0
∴ 2x - 3(0) = 48
∴ 2x = 48
- Divide both sides by 2
∴ x = 24
∴ The graph intersects the x-axis at point (24 , 0)
* The x-intercept is 24
∵ 2x - 3y = 48
- To find the y-intercept substitute x by 0
∴ 2(0) - 3y = 48
∴ -3y = 48
- Divide both sides by -3
∴ y = -16
∴ The graph intersects the y-axis at point (0 , -16)
* The y-intercept is -16
Numbers expressed by exponents are powers
Answer:
what's the question.. I'll help
width=2
length= 4
explanation in the attached picture
Answer:
We have that the sum of two numbers is 9
this can be written as:
x + y = 9
where x is the larger number.
Now we want to write:
"the difference between one more than the larger number and twice the smaller number"
First, remember that the difference between A and B is:
A - B
Then "the difference between one more than the larger number and twice the smaller number"
is:
"one more than the larger number" = ( x + 1)
"twice the smaller number" = 2*y
the difference between these is:
(x + 1) - 2*y
Now we can simplify:
We know that:
x + y = 9
then:
y = 9 - x
replacing that in the equation:
(x + 1) - 2*y
we would get:
x + 1 - 2*(9 - x)
x + 1 -18 + 2x
(x + 2x) + (1 - 18)
3x - 17
This means that we can write:
"the difference between one more than the larger number and twice the smaller number"
as: 3x - 17
