Answer:<span> =<span><span><span><span><span>x4</span>+<span>15<span>x3</span></span></span>−<span>77<span>x2</span></span></span>+<span>14x</span></span>−<span>40</span></span></span>
Step-by-step explanation:
y-y1 = m(x-x1) is the equation for a linear line in y=mx+b (slope intercept)
slope = m = -5/8
x1 = -14
y1 = 6
y-6 = -5/8 (x--14)
y-6 = -5/8 (x+14)
y-6 = -5/8x-70/8
y-48/8= -5/8x-70/8
y = -5/8x - 22/8
When x = 0, y = -22/8, which makes (0, -22/8) your y intercept
#22. We are given that y = 1/4. So, we want to plug this value into the expression 15/y:
15/(1/4)
When you divide by a fraction, you should follow the rule “flip the guy and multiply”. Basically, 15/(1/4) = 15 * 4 = 60.
The answer for #22 is (D).
#23. We can use a proportion:
(The shaded area)/(entire circle area) = (360 - 60)/360
But, we don’t have to find the areas of the region and circle; we can just solve the fraction:
(360 - 60)/360 = 300/360 = 30/36 = 5/6
The answer for #23 is (A).
6.75 + 3x/8 = 13.25
3x/8 =13.25 - 6.75
3x/8 = 6.5
3X = 6.5 x 8
3x = 52
x= 52/3
So your answer would be 52/3 :)