Let's solve your equation step by step
-8=3-5(x+6)
Step 1: simplify both sides of the equation
-8=3-5(x+6)
-8=3+(-5)(x)+(-5(6) (distribute)
-8=3+-5x+-30
-8=(-5x)+(3+-30) (combine like terms)
-8=-5x+-27
-8=-5x-27
Step 2: flip the equation
-5x-27=-8
Step 3: add 27 to both sides
-5x-27+27=-8+27
-5x=19
Step 4: Divide both sides by -5
-5x/-5 = 19/-5
Answer : x= -19/5
Answer:
It takes 85 seconds to go 12.75 miles
Step-by-step explanation:
We are given
An airplane is flying from New York City to Los Angeles
the distance it travels in Miles D is related to the time in seconds T by the equation
we are given to find time when distance is 12.75 miles
so, we can set d=12.75
and then we can solve for T
We can divide both sides by 0.15
So,
It takes 85 seconds to go 12.75 miles
Y - 3 = 8/3(x + 2)...the slope here is 8/3. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So our perpendicular line will have a slope of -3/8
y - y1 = m(x - x1)
slope(m) = -3/8
(-2,3)....x1 = -2 and y1 = 3
now we sub
y - 3 = - 3/8(x - (-2)...not done yet
y - 3 = -3/8(x + 2) <===
Answer:
The change is a loss of 10 yards, so -10 yards.
Step-by-step explanation:
The total change in yardage after 2 plays is the sum of the yardage of each play.
What lost yardage means?
Lost yardage means negative yardage.
Imagine that in a Buffalo Bills game, Devin Singletary lost 2 yards on his first carry. So his total yardage is -2.
If in the next carry he gets 3 yards, his total yardage is 1. If he loses 1, his total yardage is -3.
First play
Loss of 5 yards.
So the first play counts for -5 yards.
Second play
Loss of 5 yards.
So the second play counts for -5 yards.
Total
-5 - 5 = -10
The change is a loss of 10 yards, so -10 yards.
Answer:
C 8.0
Step-by-step explanation:
Assuming the linear model y=mx+b where m is the slope and b the intercept.
For this case the slope with the following formula:
Where:
After the calculations we see that m=3 and b=2 from the info given by the linear model.
For this case we have the equation obtained by least squares given by:
Where 2 represent the intercept and 3 the slope. We are interested on the best predicted value of y when x=2.
If we see our linear model we have the equation in terms of y and x. So we can replace directly the value of x=2 into the equation and see what we got:
