Answer:
The answer to your question is: 161x + 17y - 391 = 0
Step-by-step explanation:
Data
y-intercept = 23 Get the points (0, 23)
x- intercept = 4.75 (4.75, 0)
4.75 = 17/4 (17/4, 0)
slope
m = (y2 - y1) / (x2 - x1)
m = (0 - 23) / (17/4 - 0)
m = -23 / 17/4
m = - 161 / 17
equation
(y - y1) = m (x - x1)
( y - 23) = -161 / 17 (x - 0)
y - 23 = -161/17 x
17(y - 23) = -161x
17y - 391 = -161x
161x + 17y - 391 = 0
Answer: All real numbers are solutions.
Step-by-step explanation:
<u>Let's solve your equation step-by-step.</u>
−(5x+6)−x=−6−6x
<u>Step 1: Simplify both sides of the equation.</u>
−(5x+6)−x=−6−6x
−5x+−6+−x=−6+−6x(Distribute)
(−5x+−x)+(−6)=−6x−6(Combine Like Terms)
−6x+−6=−6x−6
−6x−6=−6x−6
<u>Step 2: Add 6x to both sides.</u>
−6x−6+6x=−6x−6+6x
−6=−6
<u>Step 3: Add 6 to both sides.</u>
−6+6=−6+6
0=0
Answer:
The last quiz score must be at least an 80 to get the average to be a 70.
Step-by-step explanation:
In order to find this, you need to take the average of the 4 test scores along with the unknown test score (x). So, to find an average, we add all the numbers together and divide by the amount of tests taken. We can then set this equal to 70 since that is the minimum average.
(60 + 64 + 75 + 71 + x)/5 = 70 ------> Multiply both sides by 5
(60 + 64 + 75 + 71 + x) = 350 -----> Combine like terms
270 + x = 350 -----> Subtract 270 from both sides
x = 80
Answer:
87.92 inches cubed or 87.92 in.^3
Step-by-step explanation:
The base of a cylinder is a circle, so we need to calculate the area of the circle first. The equation for the area of a circle is:
area (a) = pi * r^2 =3.14*2*2 =12.56sq.inches
again,
volume of cylinder = area of the base * the height
= 12.56 * 7
= 87.92 inches cubed or 87.92 in.^3
