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Posted in Mathematics

5x-3y=12 what is the x-intercept


Your x-intercept is (12/5,0) and your y-intercept is (0,-4)

Related Questions

Posted in Mathematics

What is the x-intercept of the graph of the function f(x) = x2 − 16x + 64? (−8, 0) (0, 8) (8, 0) (0, −8)

It's (8,0).

If you graph this function you can see that the parabola has an x-intercept at (8,0). This also happens to be the vertex and minimum as well.

Posted in Mathematics

Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the shape of the graph.

1) y-intercept => x = 0, => y = f(0) = 0 - 0 + 0 - 36 = -36

2) x-intercept => y = 0 => factor the function (start by dividing by x -2)

f(x) = (x-2)(x-3)(x-6) =0 => x =2, x = 3, x = 6 (these are the x-intercepts)

3) critical points:

between x = 2 and x = 3, there is a local maximum

between x =3 and x = 6 there is a local minimum

3) Shape.

The function comes growing from - infinity.

In the third quadrant the function is negative (it does not pass throuhg the second quadrant)

It enters to the fourth quadrant intercepting the y-axis at y = -36. It continues growing and intercepts the x-axis at x = 2.

 It continues increasing until a maximum local positive value, starts to decrease, intercepts the x-axis at x = 3, continues decreasing, becomes negative, gets a local minimum in the fourth quadrant, starts to increase, intercepts the x-axis at x = 6, becomes positive, and continues growing.

Posted in Mathematics

For these questions find the x- and y- intercept. 1. -10x+5y=40 a. x-intercept is 5; y-intercept is -10 b. x-intercept is 8; y-intercept is -4 c. x-intercept is -10; y-intercept is 5 d. x-intercept is -4; y-intercept is 5 2. 5x+4y=80 a. x-intercept is 4; y-intercept is 5 b. x-intercept is 20; y-intercept is 16 c. x-intercept is 5; y-intercept is 4 d. x-intercept is 16; y-intercept is 20 Please help, I don't understand these.

Background: you find an x-intercept when you set y to be zero and you get the y-intercept when you set x to be zero. In a graph this is the point of the equation that passes through the X and Y axis. ( I will do question number 1 and I will let you try question number 2 ) 

1. -10x + 5y = 40 
to find x-intercept set y=0 
= -10x + 5(0) = 40     since 5(0) = 0 
= -10x = 40  divide both sides by -10 to find X 
=> x = 40/-10 = -4  
=> the x-intercept for the above equation is -4 

to find y-intercept set x = 0
= -10(0) + 5y = 40  since -10(0) = 0 
= 0 + 5y = 40 
=> 5y = 40 divide both sides by 5 to get the value of Y 
=> y = 40/5 = 8 
=> the y-intercept for the above equation is 8 

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Posted in Mathematics

Find the x-intercepts of the parabola with vertex (-3,-18) and y-intercept at (0,0)

Y + 18 = a(x + 3)^2 
0 + 18 = a(0 + 3)^2 
18 = 9a 
2 = a 

y = 2(x + 3)^2 - 18 
0 = 2(x + 3)^2 - 18 
18 = 2(x + 3)^2 
9 = (x + 3)^2 
± 3 = x + 3 
-3 ± 3 = x 
x = 0 or -6 

(0, 0) and (-6, 0)

Posted in Mathematics

Determine the x-intercept and the y-intercept of each problem. 20x + 8y = 240 15x + 3y = 270 y = 8x + 168

20x + 8y = 240

x-intercept, y = 0; 
20x + 8(0) = 240
20x = 240
x = 240/20
x = 12

y-intercept, x = 0; 
20(0) + 8y = 240
8y =240
y =240/8
y = 30

.................................................

15x + 3y = 270

x-intercept, y = 0; 
15x + 3(0) = 270
15x = 270
x = 270/15
x = 18

y-intercept, x = 0; 
15(0) + 3y = 270
3y = 270
y = 270/3
y = 90

....................................
y = 8x + 168

x-intercept, y = 0; 
0 = 8x + 168
8x = -168
x = -168/8
x = -21

y-intercept, x = 0; 
y = 8(0) + 168
y = 168

Posted in Mathematics

Nina knows that the average of the x-intercepts represents the line of symmetry for a quadratic function through the x-axis. Which equation represents the average of the x-intercepts for f(x) = 4x2 – 24x + 20?

Number of x intercepts in this equation is 2 because max power in the function is 2. number of x intercepts is determined by "highest power".

let x1 represent first x intercept and
let x2 represent second x intercept

Formula for finding average of x intercepts is logicaly:
Avg = (x1 + x2)/2

we want to find x1 and x2
4x^2 - 24x + 20 = 0
x^2 - 6x + 5 = 0

x =   \frac{6   +-   \sqrt{6^2 - 4*1*5}  }{2*1}
x1 = 5
x2 = 1

Avg = 3

Posted in Mathematics

What is the x-intercept of the line graphed below?

I believe the x-intercept would be 24 on the line graph. Please correct me if I am wrong. 

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Posted in Mathematics

How many x-intercepts are there in y = –3x2 + 4x + 4

You can factor it to find the answer:

–3x^2 + 4x + 4 
–(3x^2 - 4x - 4)
–(3x + 2)(x - 2)

x=-2/3 or 2, which means that there are  x intercepts, at -2/3 and 2.

Posted in Mathematics

What is the x-intercept and the y-intercept in 4x+2y=-2

4x+2y=-2
x-intercept means y = 0, x = -1/2
y-intercept means x = 0, y = -1

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Posted in Mathematics

Which equation, when graphed, has x-intercepts at (−1, 0) and (−5, 0) and a y-intercept at (0, −30)? f(x) = −6(x + 1)(x + 5) f(x) = −6(x − 1)(x − 5) f(x) = −5(x + 1)(x + 5) f(x) = −5(x − 1)(x − 5)

Answer:

Option A

Step-by-step explanation:

The equation has x intecepts at -1 and -5.

Hence function would be of the form

a(x+1)(x+5) for some real a.

To find a, let us use y intercept

When x =0 we have y =a(1)(5)

y intercept is given as -30

i.e. 5a = -30

a=-6

So

f(x) = -6(x+1)(x+5)

Option A is the right answer.

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Posted in Mathematics

The equation that represents the canned goods order is 24x + 64y = 384, where x = number of minutes producing fruit cans and y = number of minutes producing vegetable cans. What is the real world meaning of the x-intercept?

Substitute 0 for the x-value in the equation and solve for y. The result is y = 6, so the y-intercept is at (0, 6). Next, substitute 0 for the y-value in the equation and solve for x. The result is x = 16, so the x-intercept is at (16, 0).

Posted in Mathematics

What are the x-intercept and y-intercept of the graph of y=−2x − 6 Drag and drop your answers into the boxes.

Xintercept is where the line crosses the x axis or where y=0
yintercept is where the line crosses the y axis or where x=0


to solve, set each to zero
xint
set y=0
0=-2x-6
add 2x both sides
2x=-6
divide 2
x=-3
xint is x=-3 or the point (-3,0)

yint
set x=0
y=-6
yint is (0,-6)

xint is x=-3 or (-3,0)
yint is y=-6 or (0,-6)

Posted in Mathematics

What is the x-intercept of the line with this equation −2r+1/2 y=18? Enter your answer in the box. ( ,0

To find the x int, we will sub in 0 for y and solve for x...um...r

- 2r + 1/2y = 18
-2r + 1/2(0) = 18
-2r = 18
r = -18/2
r = -9

so the x int is (-9,0)

Posted in Mathematics

What are the x and y intercepts of the line? 2x-3y=-12 A. x-intercept: 4 , y-intercept: -6 B. x-intercept: -4 , y-intercept: 6 C. x-intercept: -6 , y-intercept: 4 D. x-intercept: 6 , y-intercept: -4

X intercept is the points where the line crosses the x axis or where y=0
y intercept is the points where the line crosses the y axis or where x=0


xint,
set y=0
2x=-12
x=-6
xint is -6

yint,
set x=0
-3y=-12
y=4
yint is 4


C is answer

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Posted in Mathematics

What is the equation of the line with an x-intercept of -1 and a y-intercept of 2? A) y = 2x - 2 B) y = - 2x + 2 C) y = 2x + 2

The equation of the line for this question can be stated as,

What does y = when x is -1 or

What does x = when y is 2

So since the slope of the line is 2, we can assume that B and C must be the answers but since you want one answer we need to be more accurate.

The answer is C

Because when y = 0 x = -1 and when y = 2 x = 0

Posted in Mathematics

How do we find x-intercept of rational function

You can find the x intercept of the equation by setting the value of y to zero and solving the equation. Similarly you can solve the y intercept by setting the value of x to zero and solving the equation. Now while solving this rational function for intercepts if you face a situation where the value in the denominator is zero it implies that there is no intercept in that case as dividing something by zero is indeterminate.

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