The answer is <span>2.5 × 10⁻⁹ × 1.5 × 10³ = 3.75 × 10⁻⁶ </span>
Answer:
1/3
Step-by-step explanation:
slope is just change in y over change in x
on a graph this can be found by counting the change in units
look at the point at (-3,0)
find the change in y by starting at that point and counting up or down until you reach another point.
the next point (-4,-3) is three units down (change of -3)
now go back to the first point and count left or right until you reach the other point to get change of x
the other point is one unit left (change of -1)
change of y over change of x = -1/-3=1/3
Hey there!
The difference of a number, w, and 5 will be represented by (w – 5). Twice this would simply multiply this expression by 2, making it 2(w – 5). Finally, just set this expression equal to 2. Your equation is 2(w – 5) = 2.
To solve this, expand the two to the terms in parentheses. Then, solve the rest of the way as you would normally, using addition, subtraction, multiplication, or division to cancel out and move around terms. Remember, what you do on one side must be done to the other!
2(w – 5) = 2
(2*w – 2*5) = 2
(2w – 10) + 10 = (2) + 10
(2w) ÷ 2 = (12) ÷ 2
w = 6
Hope this helped you out! :-)
Answer:
y = (x-3)^2 -16
Step-by-step explanation:
y = x^2 -6x-7
We need to complete the square
b= -6
b/2 = -6/2 = -3
(b/2) ^2 = (-3)^2 =9
Add 9 then subtract 9 to balance the equation
y = x^2 -6x +9 -9 -7
y = (x^2 -6x+9) -16
The terms in parentheses is (x-b/2)^2
y = (x-3)^2 -16
This is in vertex form
The vertex is (3,-16)
Answer:
<u>Andre’s neighbor pays him $ 10 each week to mow the lawn </u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Cost of Andre's dad gift = $ 40
Weekly donation to the food bank = $ 2
Number of weeks to save $ 40 = 5
2. How much does Andre’s neighbor pay him each week to mow the lawn?
Let's calculate this amount, this way:
Weekly payment = [Cost of the gift + (Weekly donation * Number of weeks to save)]/Number of weeks
Replacing with the real values we know:
Weekly payment = [40 + (2 * 5)]/5
Weekly payment = 50/5 = 10
<u>Andre’s neighbor pays him $ 10 each week to mow the lawn </u>
