Answer:
Danielle earns $1.20 more than Mackenzie (per hour)
Step-by-step explanation:
To find out how much money per hour each person earns, you would divide the earinings by the number of hours;
Danielle: $36.80/4 = $9.20 per hour
MackKenzie: $50.40/6 = $8.40 per hour
To find out how much extra Danielle earns, you would subtract 8.40 from 9.20;
9.40 - 8.20 = $1.20
Thus, Danielle earns $1.20 more than Mackenzie per hour.
Answer:
a. 3 times the sum of a number and 3 equals 9
b. 5 less than the product of 4 times a number equals 11
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Answer:
250
Step-by-step explanation:
150/3=50
50*2=100
150+100=250
Answer:
1. y = 9(x+1/2)^2 -13/4
Step-by-step explanation:
y = 9x^2 + 9x – 1
first isolate the x terms
y = 9(x^2 +x) -1
then add 1/4 inside the brackets to make it a perfect square trinomial (half of the coefficient of the x term squared is how we get 1/4)
since we just added 1/4 we need to subtract what we just added to balance the equation. so 1/4 times 9 is 9/4 ( the number we just added to the equation). then you subtract 9/4 outside of the brackets.
y = 9(x^2 +x +1/4) -1 -9/4
then simplify
y = 9(x+1/2)^2 -13/4
We can one theorem to help us find rational roots of this polynomial.
2x^3 + x^2 - 4x - 2
We'll use Descartes' rule of signs.
Because there is 1 sign change, 1 of the 3 roots will be positive.
Now we can make the value of x -1 to see how many negative roots there will be.
-2 + 1 + 4 - 2
There are 2 sign changes, so we know there will be 2 negative roots.
Because of this, we should have 3 real, rational roots.
