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ArbitrLikvidat [17]
3 years ago
10

Add Linear Expressions. (4x - 1) + (-5x + 17)

Mathematics
1 answer:
dezoksy [38]3 years ago
6 0
<span>(4x - 1) + (-5x + 17)
=4x-1-5x+17
= -x +16</span>
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Given the arithmetic sequence shown below, write a recursive rule for the sequence. -4,4,12, 20,​
damaskus [11]

We can see that the difference is 8 so we can write:

a_n=a_{n-1}+8

8 0
3 years ago
Which choices are equivalent to the expression below? Check all that apply.<br> 5 square root 3
blsea [12.9K]

Option A: \sqrt{75}

Option C: \sqrt{15} \cdot \sqrt{5}

Option F: \sqrt{25} \cdot \sqrt{3}

Solution:

Given expression is 5 \sqrt{3}.

Option A: \sqrt{75}

\sqrt{75}=\sqrt{25\times3}

       =\sqrt{5^2\times3}

       =5\sqrt{3}

Hence \sqrt{75} is equivalent expression of 5 \sqrt{3}.

Option B: \sqrt{45}

\sqrt{45}=\sqrt{9\times5}

       =\sqrt{3^2\times5}

       =3\sqrt{5}

Hence \sqrt{45} is not equivalent expression of 5 \sqrt{3}.

Option C: \sqrt{15} \cdot \sqrt{5}

\sqrt{15} \cdot \sqrt{5}=\sqrt{15\times5}

              =\sqrt{75}

              =5\sqrt{3}    (proved in option A)

Hence \sqrt{15} \cdot \sqrt{5} is equivalent expression of 5 \sqrt{3}.

Option D: \sqrt{3} \cdot \sqrt{5}

\sqrt{3} \cdot \sqrt{5}=\sqrt{3\times5}

            =\sqrt{15}

Hence \sqrt{3} \cdot \sqrt{5} is not equivalent expression of 5 \sqrt{3}.

Option E: 75

75 is a whole number.

Hence 75 is not equivalent expression of 5 \sqrt{3}.

Option F: \sqrt{25} \cdot \sqrt{3}

\sqrt{25} \cdot \sqrt{3}=\sqrt{25\times3}

              =\sqrt{75}

              =5\sqrt{3}    (proved in option A)

Hence \sqrt{25} \cdot \sqrt{3} is equivalent expression of 5 \sqrt{3}.

Therefore, \sqrt{75},\ \  \sqrt{15} \cdot \sqrt{5}, \  \ \sqrt{25} \cdot \sqrt{3} are all equivalent expressions of 5 \sqrt{3}.

6 0
3 years ago
Simplify 5(a - <br> b. 6(a <br> b. - 7(a - 2b)
Elan Coil [88]
Not sure what you're asking. are you wanting to solve 5 ( a - b), where b equals those two things listed below? If that's the case, I can definitely help. If not, please clarify.
6 0
4 years ago
140 is 9% of what???
Len [333]

Answer:

The correct answer is B) 1555.6

Step-by-step explanation:

In order to find this, we must divide the part by the percentage. This will give us the total out of 100%

140/.09 = 1555.6

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3 years ago
Factor the expression completely 10x-80
kupik [55]

Answer:

10(x−8)

Step-by-step explanation:

10x-80

-> Both have a factor of 10

10x / 10 = x

80 / 10 = 8

10(x - 8)

8 0
3 years ago
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