-4 x 9 - (-10)
= - 45 + 10
= - (45 - 10)
= - 35
Rule: Negative times positive is negative; Negative times negative is positive
Answer:
x = 1.5
Step-by-step explanation:
Since the axis of symmetry is between the 2 x intercepts, we can find it by finding the average of the x-coordinates of the 2 points.
(-7 + 10) / 2
3/2
= 1.5
So, the axis of symmetry is at x = 1.5
Answer:
(2,-17) should be the minimum.
Step-by-step explanation:
The minimum of a quadratic function occurs at
. If a is positive, the minimum value of the function is 
occurs at 
Find the value of 
x = 2
evaluate f(2).
replace the variable x with 2 in the expression.

simplify the result.



The final answer is -17
Use the x and y values to find where the minimum occurs.
HOPE THIS HELPS!
Answer:
Recycling materials helps decrease the amount of new materials taken from the environment.
Step-by-step explanation:
Recycling materials helps decrease the amount of new materials taken from the environment.
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<u><em>Answer:</em></u>
Part a .............> x = 11
Part b .............> k = 57.2
Part c .............> y = 9.2
<u><em>Explanation:</em></u>
The three problems deal with inverse variation between two variables
An inverse variation relation between two variables means that when one of the variables increases, the other will decrease (and vice versa)
<u>Mathematically, an inverse variation relation is represented as follows:</u>

where x and y are the two variables and k is the constant of variation
<u><em>Now, let's check the givens:</em></u>
<u>Part a:</u>
We are given that y = 3 and k = 33
<u>Substitute in the original relation and solve for x as follows:</u>

<u>Part b:</u>
We are given that y = 11 and x = 5.2
<u>Substitute in the original relation and solve for k as follows:</u>

<u>Part c:</u>
We are given that x=7.8 and k=72
<u>Substitute in the original relation and solve for y as follows:</u>
to the nearest tenth
Hope this helps :)