Answer:
x = 10
Step-by-step explanation:
The bigger triangle is 2 times larger than the smaller triangle meaning all of the value of the smaller triangle are 2 times smaller than the bigger triangle and the bigger triangle is 2 times larger than the smaller triangle
We have the following expression:
(27a ^ 3-1) / (9a ^ 2-6a + 1)
Rewriting we have:
(27a ^ 3-1) / (9a ^ 2-6a + 1)
(27a ^ 3-1) / ((3a-1) * (3a-1))
We exclude the values that make the denominator zero:
3a-1 = 0
a = 1/3
Answer:
a valid exclusion for the algebraic fraction is:
c. a ≠ 1/3
Answer:
B) n ≥ - 9 and n ≤ 1
Step-by-step explanation:
-3 <= n+6 <= 7
subtract 6 from all 3 sides
-3 -6 <= n+6 -6 <= 7-6
-9 <= n <= 1
If you can graph a function, you can graph piecewise functions. Each one of them is a different line or curve within the domain for that specific line of curve. If the domain states it's less than or greater than a number, you circle that point on the line. If the domain states it's also possibly equal to the point at the beginning or the end, you make a closed dot.
I"m sure that's clear as mud, please respond with any additional questions.
Answer:
<u>1. The number is 71.3</u>
<u>2. The number is 127.1</u>
<u>3. The number is 230</u>
<u>4. The number is 34</u>
Step-by-step explanation:
Let's find out the numbers, x, for each case:
1. 5% of it is 5% of it is 23% of 15.5
5% = 0.05
23% of 15.5 = 0.23 * 15.5 = 3.565
Then, we have:
0.05x = 3.565
x = 3.565/0.05
x = 71.3
<u>The number is 71.3</u>
2. 4% of it is 31% of 16.4
4% = 0.04
31% of 16.4 = 0.31 * 16.4 = 5.084
Then, we have:
0.04x = 5.084
x = 5.084/0.04
x = 127.1
<u>The number is 127.1</u>
3. 4.5% of it is 23% of 45
4.5% = 0.045
23% of 45 = 0.23 * 45 = 10.35
Then, we have:
0.045x = 10.35
x = 10.35/0.045
x = 230
<u>The number is 230</u>
4. 5.5% of it is 17% of 11
5.5% = 0.055
17% of 11 = 0.17 * 11 = 1.87
Then, we have:
0.055x = 1.87
x = 1.87/0.055
x = 34
<u>The number is 34</u>
