Answer:
10
Step-by-step explanation:
The highest exponent determines the degree of a polynomial.
For the living room one, you have an 11' wall, & a 2' 6" shelf.
First, we'll divide the length of both in half:
5' 6" wall, 1' 3" shelf
Now, subtract the two:
4' 3"
That's how far away the edge of the shelf needs to be from either corner of the wall to be centered.
For the second one:
We need to get all these numbers into the same formatting. I say we go fraction.
First guy got 13 out of 18
Second guy got .7 (repeating)
Third guy got 5/6
Ok, first, we'll turn .7 repeating into a fraction. This won't always work, because not all decimals will turn into a nice fraction. But this one will.
.7 (repeating) = 7/9
So we have:
13/18
7/9
5/6
Now, we can't compare these quite yet. They all need to have the same denominator. So, what's the LCM of the three denominators? 18, right?
The first one can be left alone, since it has a denominator of 18 already. The second one: multiply both numbers by 2, and we get 14/18. For the third: multiply everything by 3, and we get 15/18.
NOW let's compare them:
Jon: 13/18
Jim: 14/18
Joe: 15/18
It's now clear that Joe got the highest score.
Answer:
ANSWERS ARE B, C, AND D.
Step-by-step explanation:
I found the unit rate of 350 and 5, because we can use a calculator (as stated on top) I just punched in 350 divided by 5 and got 70. Now i know this may not sound that "professional", but nothing needs to always be professional as long as its efficient and most importantly gets you the right answer. I then took the time to multiply each number, (the ones on the left : 3, 3.5, 6, 7.25, and 8) by 70. If the answer you got on the calculator match up to the number on the right, (240, 420, 507.50, and 490) its correct, if it doesn't match up, you can tell that its most likely not the answer. You should end up with three answers that all end up having the unit rate of 70. Hope this helps anyone who needed it.
ANSWERS ARE B, C, AND D.
Step-by-step explanation:
(1.00)³⁶⁵
=1
1 power any natural number is 1
Answer:
The answer is -1 or 9
The quadratic equation is ax² + bx + c = 0. But, by completing the square we turn it into: a(x + d)² + e = 0, where:
d = b/2a
e = c - b²/4a
Our quadratic equation is x² - 8x = 9, which is after rearrangement:
x² - 8x - 9 = 0
So, a = 1, b = -8, c = -9
Let's first calculate d and e:
d = b/2a = -8/(2 * 1) = -8/2 = -4
e = c - b²/4a = -9 - (-8)²/(4 * 1) = -9 - 64/4 = -9 - 16 = -25
By completing the square we have:
a(x + d)² + e = 0
1(x + (-4))² + (-25) = 0
(x - 4)² - 25 = 0
(x - 4)² = 25
⇒ x - 4 = √25
Since √25 can be either -5 or +5 , then:
x - 4 = -5 or x - 4 = 5
x = -5 + 4 or x = 5 + 4
x = -1 or x = 9
Step-by-step explanation:
