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3 years ago

How do you solve 3(6+5y)=2(-5+4y)

Mathematics

2 answers:

meriva3 years ago

8 0

Answer:

multiply out using the distributive property

18+15y=-10+8y

make it so that common terms are on one side

15y-8y=-10-18

simplify

7y=-28

solve for y

y=-28/7

y=-4

Maslowich3 years ago

7 0

Answer: y=-4

Step-by-step explanation:

3(6+5y)=2(-5+4y) Distribute 3 and 2

18+15y=-10+8y subtract 18 and 8y both sides

7y=-28 divide by 6 both sides

y=-4

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Answer: 3

Step-by-step explanation:

$(f \circ f)(2) = f(f(2)) = f(3) = \boxed 3$

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3 years ago

A garden table and a bench cost $985 combined. The garden table costs $35 more than the bench. What is the cost of the bench?

Papessa [141]

985-35=950, 950÷2=475, 475+35=510, 510 and 475

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4 years ago

Read 2 more answers

Factor the quadratic expression to reveal the zeroes of the function it defines

Kazeer [188]

Answer:

Below.

Step-by-step explanation:

This factors to the product of 2 binomials like (x + a)(x + b), where a and b are 2 numbers.

40 = 4 * 10 and 14 = 4 + 10 so the answer is

(x + 4)(x + 10).

If we expand this we will get back to the quadratic expression:

(x + 4)(x + 10)

= x(x + 10) + 4(x + 10)

= x^2 + 10x + 4x + 40

= x^2 + 14x + 40.

4 0

3 years ago

To estimate the mean height μ of male students on your campus, you will measure an SRS of students. You know from government dat

denis-greek [22]

Answer:

a) The standard deviation of x must be 0.25 inches.

b) We need a sample of 125 to reduce the standard deviation of x⎯⎯⎯ to the value you found in part(a).

Step-by-step explanation:

The 68-95-99.7 states that:

68% percent of the measures of a normally distributed sample are within 1 standard deviation of the mean.

95% percent of the measures of a normally distributed sample are within 2 standard deviations of the mean.

99.7% percent of the measures of a normally distributed sample are within 3 standard deviations of the mean.

The standard deviation of the population is 2.8. This means that $\sigma = 2.8$ .

(a) What standard deviation must x⎯⎯⎯ have so that 95% of all samples give an x⎯⎯⎯ within one-half inch of μ?

We want to have a sample in which 2 standard deviations are within 0.5 inches of the mean.

So, the standard deviation of the sample must be:

$2s = 0.5$

$s = 0.25$

The standard deviation of x must be 0.25 inches.

(b) How large an SRS do you need to reduce the standard deviation of x⎯⎯⎯ to the value you found in part(a)?

We have that the standard deviation of a sample of length n is given by the following formula:

$s = \frac{\sigma}{\sqrt{n}}$ .

We want $s = 0.25$ and we have $\sigma = 2.8$ . So

$0.25 = \frac{2.8}{\sqrt{n}}$

$0.25\sqrt{n} = 2.8$

$\sqrt{n} = 11.2$

$\sqrt{n}^{2} = (11.2)^{2}$

$n = 125.44$

We need a sample of 125 to reduce the standard deviation of x⎯⎯⎯ to the value you found in part(a).

8 0

4 years ago

Sebastian simplified the expression -4,212 and got an answer of 4. Organize the

Butoxors [25]

The imaginary unit, i, which represents the square root of -1 raised to power 4 is 1

The organized steps are;

Choice E; Since i⁴ = 1

Choice B; Then -4·1 = -4

Choice F; Therefore, Sebastian is incorrect

Reason:

The given expression Sebastian simplified is; -4·i²¹²

The result Sebastian got = 4

The organized steps are presented as follows;

We have that 212 ÷ 4 = 3

Since i⁴ = 1

Then -4·1 = -4

Therefore, Sebastian is incorrect

The order of the steps are therefore;

Given -4·i²¹²

Choice E; Since i⁴ = 1

Choice B; Then -4·1 = -4

Choice F; Therefore, Sebastian is incorrect

Learn more about imaginary numbers here:

brainly.com/question/12078839

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3 years ago