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777dan777 [17]
3 years ago
11

Write an expression equivalent to the expression -1/2(-3/2x+6x+1)-3x

Mathematics
1 answer:
stiv31 [10]3 years ago
4 0

Answer:

-21/4x-1/2

Step-by-step explanation:

-1/2(-3/2x+6x+1)-3x

3/4x-3x-1/2-3x

3/4x-3x-3x-1/2

3/4x-6x-1/2

3/4x-24/4x-1/2

-21/4x-1/2

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I'm thinking of a number. When I multiply by 8 and add –1, I get –17. What's my number?
frosja888 [35]

Say that you're thinking of number x

You multiply it by 8, and have 8x

You add -1 (i.e., you subtract 1) and have 8x-1

This equals -17, so you have

8x-1=-17

Add 1 to both sides

8x=-16

Divide both sides by 8:

x=-2

So, you were thinking of -2.

6 0
3 years ago
A certain standardized test's math scores have a bell-shaped distribution with a mean of 530 and a standard deviation of 119. Co
kumpel [21]

Answer:

a) 68.2%

b) 31.8%

c) 2.3%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 530

Standard Deviation, σ = 119

We are given that the distribution of math scores is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(test scores is between 411 and 649)

P(411 \leq x \leq 649)\\\\= P(\displaystyle\frac{411 - 530}{119} \leq z \leq \displaystyle\frac{649-530}{119})\\\\= P(-1 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -1)\\= 0.841 - 0.159 = 0.682 = 68.2\%

b) P(scores is less than 411 or greater than 649)

P(x < 411 < x, x > 649)\\=1 = P(411 \leq x \leq 649)\\=1 - 0.682\\=0.318 = 31.8\%

c) P(score greater than 768)

P(x > 768)

P( x > 768) = P( z > \displaystyle\frac{768 - 530}{119}) = P(z > 2)

= 1 - P(z \leq 2)

Calculation the value from standard normal z table, we have,  

P(x > 768) = 1 -0.977 = 0.023 = 2.3\%

5 0
3 years ago
As shown in the graph, ΔGHI ≅ ΔG'H'I', since this is a vertical shift, and ΔG'H'I' ≅ ΔG''H''I'', since this is a horizontal shif
vredina [299]

Answer:

I believe its B. so sorry if I'm wrong

7 0
3 years ago
Read 2 more answers
Rewrite the expression using distributive property : 30x + 6
Anit [1.1K]

Answer:

This cannot be done, but it can be factored as: 6(5x + 1)

Step-by-step explanation:

This expression cannot be distributed any further.

The distributive property is used when multiplying polynomials (multiplying one or more terms by two or more terms). In which case, each term in multiplied by each of the terms in the bracket, for example: .

5(x + 2)  =  5x + 10

We can factor this expression however to go the opposite direction:

30x + 6

Since 30 and 6 are both divisible by 6, we can factor it out of each term.

Divide 30x by 6 and divide 6 by 6.

6(5x + 1)

6 0
3 years ago
A rectangle has a length of the fifth root of 16 inches and a width of 2 to the 1 over 5 power inches. Find the area of the rect
gayaneshka [121]
Hello,

It 's difficult to translate that in french.

l=16 ^(1/5)
w=2^(1/5)
Area=32^(1/5)=(2^5)^(1/5)=2 (in²)


7 0
3 years ago
Read 2 more answers
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