ANSWER:
STEP-BY-STEP EXPLANATION:
We have the following expression:
In order to operate, we must first break the parentheses and then group similar terms, like this:
Answer:
17
Step-by-step explanation:
Let the number of 2 point shots be t.
Let the number of 3 point shots be h.
Allison made 87 shots and scored 191 total points. This implies two things:
t + h = 87 ________(1)
2t + 3h = 191 ______(2)
Let us eliminate t by multiplying (1) by 2 and subtracting from (2):
=> 2t + 3h = 191
- <u>2t + 2h = 174</u>
<u> h = 17 </u>
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Therefore, she made 17 three point shots.
Answer:
Place the left of the dot on -5 and the right one on +7
That should do it :)
Given the equation - x² + 5x = 3, which can be rewritten as:
- x² + 5x - 3 = 0
where a = -1, b = 5 and c = -3.
Quadratic formula:
![\frac{-b\text{ }\pm\text{ }\sqrt[]{b^2\text{ - 4ac}}}{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%5Ctext%7B%20%7D%5Cpm%5Ctext%7B%20%7D%5Csqrt%5B%5D%7Bb%5E2%5Ctext%7B%20-%204ac%7D%7D%7D%7B2a%7D)
Now, we just replace the values of a, b and c on the equation above.
![\frac{-5\text{ }\pm\text{ }\sqrt[]{5^2\text{ - 4(-1)(3)}}}{2(-1)}](https://tex.z-dn.net/?f=%5Cfrac%7B-5%5Ctext%7B%20%7D%5Cpm%5Ctext%7B%20%7D%5Csqrt%5B%5D%7B5%5E2%5Ctext%7B%20-%204%28-1%29%283%29%7D%7D%7D%7B2%28-1%29%7D)
=
![\frac{5}{2}\text{ }\pm\text{ }\frac{\sqrt[]{13}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D%5Ctext%7B%20%7D%5Cpm%5Ctext%7B%20%7D%5Cfrac%7B%5Csqrt%5B%5D%7B13%7D%7D%7B2%7D)
Answer: TRUE
<u>Step-by-step explanation:</u>
an even number is divisible by 2.
Consider even number j which equals 2a and even number k which equals 2b. Then the product of these two numbers (j and k) = 2a*2b = 4ab.
4ab is divisible by 4.
BONUS:
The product of three even numbers is divisible by 2³
The product of four even numbers is divisible by 2⁴
The product of five even numbers is divisible by 2⁵
do you see the pattern?
