Answer:
30 - 12x or 6(5 - 2x)
Step-by-step explanation:
Given expression:
First, let us simplify the expression inside the parentheses;
- ⇒ 4[5 + (-3x)] + 10
- ⇒ 4[5 - 3x] + 10
Then, let us open the parentheses by simplifying the distributive property;
- ⇒ 4[5 - 3x] + 10
- ⇒ 20 - 12x + 10
Finally, let us simplify the expression by adding 10 to 20.
- ⇒ 20 - 12x + 10
- ⇒ 30 - 12x
[Optional] Factor the expression by putting the expression in parentheses.
Since 6 is divisible to all the terms in the expression, we can divide 6 to all the terms in the expression and take "6" outside the parentheses.
- ⇒ 6(30/6 - 12x/6)
- ⇒ 6(5 - 2x)
Therefore, the simplified expression is 30 - 12x or 6(5 - 2x).
Answer:
Null Hypothesis: ![H_0:\mu=171](https://tex.z-dn.net/?f=H_0%3A%5Cmu%3D171)
Alternative Hypothesis: ![H_1:\mu\neq 171](https://tex.z-dn.net/?f=H_1%3A%5Cmu%5Cneq%20171)
Step-by-step explanation:
It is given that the mean height of a certain kind of plant is 171 centimeters.
Null Hypothesis: A hypotheses of no statistical significant difference is known as null hypothesis. The null hypotheses for this test is
![H_0:\mu=171](https://tex.z-dn.net/?f=H_0%3A%5Cmu%3D171)
Alternative Hypothesis: If a hypothesis is used in hypothesis testing that is contrary to the null hypothesis is known as alternative hypotheses. The alternative hypotheses for this test is
![H_1:\mu\neq 171](https://tex.z-dn.net/?f=H_1%3A%5Cmu%5Cneq%20171)
11/12 hours left. 1 2/3 - 3/4 = 11/12. First, find the common denominator (12) . The problem is now 1 8/12 - 9/12. Use the 1 in (1 8/12) to borrow. Multiply the denominator by 1 (12) and add that to the numerator. The question is now 20/12 - 9/12. I assume that you can finish it off from there.
If a number has a negative exponent, it goes to the bottom of a fraction as a denominator
5^2 = 1/5^2
Hope this helps
Answer:
I got you, give me a few minutes
1st one: 6x+12+6y
2nd one: -12a-20b
4th one: 2x times 18
Step-by-step explanation: