Answer:
f(10) = 120
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Algebra I
Step-by-step explanation:
Step 1: Define
f(x) = x² + 3x - 10
f(10) is x = 10
Step 2: Evaluate
To complete the square for the equation X^2 + 16X + __ = 18 + __, we need to add 64 to both sides to get the equation X^2 + 16X + 64 = 18 + 64.
To complete the square for the given quadratic equation, we need to add a specific value to both sides of the equation. That specific value is the square of half the coefficient of the X term. In this case, the X term's coefficient is 16, so we need to take half of 16 (which is 8) and square it (which is 64).
So, the number to be added to both sides of the equation is 64.
The completed square equation then becomes: X^2 + 16X + 64 = 18 + 64.
Learn more about Completing the square here:
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The probable question may be:
What number needs to be added to both sides of the equation in order to complete the square?
X^2+16X+____=18+___
Answer:
16
Step-by-step explanation:
Given x^2 + 16x = 18. Complete the square:
Take half of the coefficient of x (in other words, take half of 16) and square the result: we get 8^2 = 64.
Add 64, and then subtract 64 from x^2 + 16x + 64 = 18 + 64
Then (x + 8)^2 = 82. From this point on it's easy to find the roots, but we were not asked to do so.
The desired number is 64; note that it is (16/2)^2.
Answer
c. buying it at a 10 percent discount without sales tax.
Explanation
We are going to compare the 3 choices and then determine the most cost effective.
a. using a paid membership card to buy it at a 10 percent discount.
10% of $100 = 10/100×100 = $10
cost = $100 - $10 = $90
On top of this $90 there is the charges of the membership card.
b. buying it online at a 10 percent discount with a $5 shipping charge.
100%-10% = 90%
90% of 100 = $90
Cost: $90 + $5 = $95
c. buying it at a 10 percent discount without sales tax.
100% - 10% = 90%
90/100 × 100 = $90. This is the must cost effective method since there is no other cost involved.
Time Speed
Raphael rolls his ball
he enters the freeway
0
downhill.
0
from the entrance
2.
15
ramp.
4
25
6
45
(spl) poods
Ncho C
00
70
1 2 3 4 5 6 7 8
Time (s)
O
Answer:
the 3rd on edge
Step-by-step explanation:
i did it
Answer:
The 3rd one.
Time (S)
Chris Jones 51 29
Patrick Smith 6 4
Michael Small 30 54
Susan Davis 13 13
Which of the following statements about the data above is true?
A.
The estimated number of residents who would have voted for Michael Small is higher for Group B than Group A.
B.
The estimates for both groups show an equal number of residents would have voted for Michael Small.
C.
The estimated number of residents who would have voted for Susan Davis is higher for Group A than Group B.
D.
The estimated number of residents who would have voted for Michael Small is higher for Group A than Group B.
Answer:
D.
The estimated number of residents who would have voted for Michael Small is higher for Group A than Group B.
Step-by-step explanation:
2(3x)
B)
2x - 3
C)
2x + 3
D)
2(x - 3)
Answer:
The answer is D because
Step-by-step explanation:
Keith = x
And Troy exercises three hours less than Keith. Thus,
Troy = x - 3
And Joe exercises two time more than Troy. Thus,
Joe = 2(x - 3)