Let x be the score of the 3rd quiz,, then the average score will be:
(83+91+x)/3, which = (174+x)/3. but this average should be greater or equal to 85 and smaller or equal to 90:
85 ≤ (174+x)/3 ≤ 90
1st multiply all terms with 3 → 255 ≤(174+x) ≤ 270
2nd subtract 173 from all terms → 255-174 ≤174-174+x ≤270-174
81 ≤ x ≤ 96
X equals five. hope this helps, and have a very brainly day!
Answer:
Undefined because the x values are the same
Step-by-step explanation:
Slope: y2 - y1 / x2 - x1
Slope: 7 - 10 / -3 - - 3
Slope: -3 / -3 + 3
Slope: -3 / 0
Slope: undefined
The answer is A: a slope of 2/9
First you need to change find the y-intercept by converting the standard form equation to slope-intercept form. The goal is to isolate y:
x + 4y = 12
x + 4y - x = 12 - x
4y = 12 - x
4y / 4 = 12/4 - x
y = 3 - x
Change so that the slope is before the intercept:
y = -x + 3
Now we know that the y-intercept is 3.
Use the slope equation, which is y2 - y1/x2 - x1, is find the slope:
5 - 3/9 - 0 = 2/9
So, the slope is 2/9!
Answer:
5 x^2 y^ (-3) z = ?
Step-by-step explanation:
We know the volume of a rectangular prism is given by
V = l*w*h
V = 2x^2 * y^-2 * ?
We are given the volume
V =10x^4 y^-5 z
Set the two equal
10x^4 y^-5 z = 2x^2 * y^-2 * ?
Divide each side by 2x^2 y^-2
10x^4 y^-5 z /2x^2 y^-2 = 2x^2 * y^-2 * ?/2x^2 * y^-2
10x^4 y^-5 z/ 2x^2 y^-2 = ?
Simplifying
10/2 * x^4/x^2 y^-5/ y^-2 z = ?
We know that a^b/ a^c = a^(b-c)
5 x^ (4-2) y^(-5 - -2) z = ?
5 x^2 y^ (-5 +2) z = ?
5 x^2 y^ (-3) z = ?
