First find the slope of the given line:
4x +2y = 1
Subtract 4x from each side:
2y = -4x + 1
Divide both sides by 2:
y = -2x +1/2
The slope is -2.
Now use the slope to find the y-intercept. Because the line is perpendicular, you need to use the negative inverse of the slope.
The negative inverse of -2 is 1/2
Now using the point-slope form y - y1 = m(x-x1)
Use the inverse slope for m, and the given point(-4,3) to get:
y - 3 = 1/2(x+4)
Simplify:
y - 3 = x/2 +2
Add 3 to each side:
y = x/2 + 5
Reorder the terms to get y = 1/2x +5
The answer is D.
The x would equal 0 and the y would equal 3
Henry runs at a rate of seven miles an hour. I think you meant the second sentence to be 'Blake', because there is not attatched graph. They are both running at the same speed in this case.
I got this because 14 (miles ran by Henry) / 2 (hours ran) you get 7. This same equation is applied to (Blake?) 35 (miles ran by [Blake?]) / 5 (hours ran) also equals seven.
If you meant the second statement to be Blake, they are both running at the same speed, and x=7.
If you didn't, then there is not enough information to determine Blake's speed.
If you found this especially helpful, I'd appreciate if you'd vote me Brainliest for your answer. I want to be able to assist more users one-on-one, as well as to move up in rank! :)
Answer:
see explanation
Step-by-step explanation:
(10)
To evaluate f(- 4) substitute x = - 4 into f(x)
f(x) = 7x - 4x + 3 = 3x + 3
f(- 4) = 3(- 4) + 3 = - 12 + 3 = - 9
(11)
To evaluate f(- 2) substitute x = - 2 into f(x)
f(- 2) = 2(- 2)² - 8 = 2(4) - 8 = 8 - 8 = 0
(12)
To evaluate g(- 3) substitute x = - 3 into g(x)
g(- 3) = - 2(- 3)² + 3(- 3) = - 2(9) - 9 = - 18 - 9 = - 27
So Joan receives 25% commission on the profits of the cars she sells. She got $8,870 on the profit last month. To find the commission, let’s multiply the amount of profit by the percentage. 8,870 * 0.25 is 2,217.5. There. Joan earned $2,217.50 in commission last month.
