For question 1, find the x- and y-intercept of the line.
-10x+5y=40
(1 point)
x-intercept is 5; y-intercept is -10
X-intercept is 8; y-intercept is -4
x-intercept is ; y-intercept is 5.
x-intercept is ; y-intercept is 8.
To find the x-intercept, we set y = 0 and solve for x:
-10x + 5(0) = 40
-10x = 40
x = -4
Therefore, the x-intercept is -4.
To find the y-intercept, we set x = 0 and solve for y:
-10(0) + 5y = 40
5y = 40
y = 8
Therefore, the y-intercept is 8.
So, the correct answer is:
x-intercept is -4; y-intercept is 8.
For question 2, find the x- and y-intercept of the line. 5x + 4y = 80
(1 point)
x-intercept is 4; y-intercept is 5. x-intercept is 20; y-intercept is 16. x-intercept is 5; y-intercept is 4. x-intercept is 16; y-intercept is 20.
To find the x-intercept, we set y = 0 and solve for x:
5x + 4(0) = 80
5x = 80
x = 16
Therefore, the x-intercept is 16.
To find the y-intercept, we set x = 0 and solve for y:
5(0) + 4y = 80
4y = 80
y = 20
Therefore, the y-intercept is 20.
So, the correct answer is:
x-intercept is 16; y-intercept is 20.
Write y= 1/6 x+ 4 in standard form using integers.
A. -x-6y=24
B. -x+6y=24
C. -x+6y=4
D. 6x-y=24
To write the equation y = (1/6)x + 4 in standard form using integers, we need to get rid of the fractional coefficient.
Multiply the entire equation by 6 to eliminate the fraction:
6y = x + 24.
Now, rearrange the equation to have the variables on the same side:
x - 6y = -24.
Therefore, the equation y = (1/6)x + 4 in standard form using integers is:
x - 6y = -24.
So, the correct answer is:
A. -x - 6y = 24.
The grocery store sells kumquats for $4.75 a pound and Asian pears for $2.25 a pound. Write an equation in standard form for the weights of kumquats k and Asian pears p that a customer could buy with $22.
(1 point)
4.75k + 2.25p = 22 4.75k = 2.25p + 22 4.75 + 2.25 = k 4.75p + 2.25k = 22
To write the equation in standard form, we need to rearrange it so that the terms are on the same side and the coefficients are integers.
Let's represent the weights of kumquats and Asian pears as k and p, respectively.
The cost of kumquats is $4.75k, and the cost of Asian pears is $2.25p. The total cost of the purchase is $22.
Combining these equations, we get:
4.75k + 2.25p = 22.
Therefore, the correct answer is:
4.75k + 2.25p = 22.