f(x) = 2(x^2 + 14x + ) - 5 2 is taken out of first 2 terms.
f(x) = 2(x^2 + 14x + (14/2)^2 ) - 5 - 2(14/2)^2
<em><u>2 steps </u></em>
- Inside the brackets: Linear term's coefficient (14) divided by 2 and squared
- Outside the brackets: (14/2)^2 multiplied by 2 and subtract so that there is no change in the value of the quadratic.
f(x) = 2*(x + 7)^2 - 103
The graph is of the original quadratic.
Are you trying to subtract?
If so, the answer is -5,333.
Answer:
1:3
Step-by-step explanation:
First, of all, keep in mind that you don't need the number of boys, because it is not in the question. Now we can look at the basic equation, which is "What is the ratio of counselors to girls." That would be Counselor: Girls. There are 10 counselors and 30 girls. Now we need to simplify the ratio. Much like simplifying a fraction, you need to simplify it with the same number. In this case, the best number to simplify with is 10, because it works with both numbers. 30 divided by 3 is 10. 10 divided by 10 is one. Now, lets put this in an easier way to understand:
Counselor = 1
Girls = 3
So, the ratio would be 1:3.
Answer:
millimeters.
Step-by-step explanation:
We have been given that a leak in a water tank causes the water level to decrease by millimeters each second.
To find the decrease in water level in 5 hours let us multiply water decrease in one second by number of seconds in 5 hours.
Using the exponent product rule let us add the exponents with same base (10).
Therefore, the water level in tank decreased millimeters in 5 hours.
Answer:
B. $667.80
Step-by-step explanation:
Before Tax Price: $900.00
Sale Tax: 6.00% or $54.00
After Tax Price: $954.00
$954.00 - 30% = $667.80