Good Afternoon! Here is your answer step by step!
Let's solve your equation step-by-step.
(z−5)(z+4)=52
Step 1: Simplify both sides of the equation.
z2−z−20=52
Step 2: Subtract 52 from both sides.
z2−z−20−52=52−52
z2−z−72=0
Step 3: Factor left side of equation.
(z+8)(z−9)=0
Step 4: Set factors equal to 0.
z+8=0 or z−9=0
z=−8 or z=9
Answer:
z=−8 or z=9
Have a blessed day! ❤
Questions (contd)
(a) For what amount of driving do the two plans cost the same?
(b) What is the cost when the two plans cost the same?
Answer:
(a) 100 miles
(b) $65
Step-by-step explanation:
Given
Plan 1:

per mile
Plan 2:

per mile
Solving (a): Number of miles when both plans are equal
Represent the distance with x and the cost with y
So:
Plan 1:

Plan 2:

To solve (a), we equate both plans together; i.e.


Collect Like Terms


Solve for x


Hence, 100 mile would cost both plans the same
Solving (b): Cost when both plans are the same:
In this case, we simply substitute 100 for x in any of the y equation.




<em>Hence, the amount is $65</em>
Answer:
b.
Step-by-step explanation:
Stem is the first digit and the leaf is the last digit.
Below the table is explained that 1 l 7 is 1.7 because it also could mean 17. So with that clear the terms from the Stem l Leaf are as follow:
1 combined with 3, 7 and 7:
1.3, 1.7 and 1.7
2 combined with 6, 8 and 8:
2.6, 2.8, 2.8
3 combined with 5 and 7:
3.5 and 3.7
All the terms:
1.3, 1.7, 1.7, 2.6, 2.8, 2.8, 3.5, 3.7
Answer:
y = 1x + 7
Step-by-step explanation:
<u>The equation formula for this scenario is y = mx + b</u>
m = slope
b = y-intercept
To find the slope, pick two points. I picked (2,9) and (4,11).
Subtract 11 from 9, you'll get 2.
Subtract 4 from 2, you'll get 2.
2/2 equals 1. The slope (m) = 1
To find the b, y-intercept, plot the points on a graph and see if the linear line across the y-intercept. For this case, the y-intercept is 7.
The equation is: y = 1x + 7