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Mama L [17]
3 years ago
9

Solve the system by substitution 10x-2y=-16 and y=3x

Mathematics
1 answer:
lesantik [10]3 years ago
5 0
The answer would be x=-4.
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PLEASE HELP! I WILL GIVE BRAINLIEST! When a photo is reduced or enlarged its length to width ratio usually remains the same. Aur
polet [3.4K]
Length = 4 6 8 10
Width = 6 9 12 15
4 0
3 years ago
The equation and table shows were two boys pay for gym fees compare the rate of change and initial value for each function
Olegator [25]

The equation is an illustration of a linear function

The rate of change is 10 and the initial value is 25

<h3>How to determine the rate of change and the initial value</h3>

The equation is given as:

C = 25 + 10m

A linear equation is represented as:

y = b +  mx

Where:

  • b represents the initial value
  • m represents the rate

By comparison:

b = 25

m = 10

Hence, the rate of change is 10 and the initial value is 25

Read more about linear functions at:

brainly.com/question/15602982

8 0
2 years ago
To estimate a population mean, the sample size needed to provide a margin of error of 3 or less with a 95% confidence when the p
Over [174]

Answer:

The minimum sample needed to provide a margin of error of 3 or less is 52.

Step-by-step explanation:

The confidence interval for population mean (<em>μ</em>) is:

\bar x\pm z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

The margin of error is:

MOE= z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

<u>Given:</u>

MOE = 3

<em>σ </em>= 11

The critical value for 95% confidence interval is: z_{\alpha /2}=1.96

**Use the <em>z</em>-table for critical values.

Compute the sample size (<em>n</em>) as follows:

MOE= z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\\3=1.96\times \frac{11}{\sqrt{n}}\\n=(\frac{1.96\times11}{3} )^{2}\\=51.65\\\approx52

Thus, the minimum sample needed to provide a margin of error of 3 or less is 52.

7 0
3 years ago
The histogram shows the number of payphones that were active by year in a large city. How many payphones would you expect to be
tangare [24]

Answer:

Between 150 and 200

Step-by-step explanation:

i just did the assignment .

6 0
3 years ago
Find the value of the missing coefficient in the factored form of 8f^3-216g^3
adoni [48]

Answer:

The value of the missing coefficient is 12

Step-by-step explanation:

* Lets explain how to factorize the difference of two cubes

- The factorization of the difference of two cubes like a³ - b³, is a

  product of a binomial and trinomial

- The binomial is the cube root of the first term and the second term

∵ The ∛a³ = a and ∛b³ = b

∴ The binomial is (a - b)

- We will find the trinomial from the binomial by square the 1st term

 of the binomial and multiply the 1st term and the 2nd term of the

 binomial with opposite sign of the binomial and square the 2nd

 term of the binomial

∴ The trinomial is (a² + ab + b²

∴ The factorization of (a³ - b³) is (a - b)(a² + ab + b²)

* Lets solve the problem

∵ 8f³ - 216g³ is the difference of two cubes

∵ ∛(8f³) = 2f

∵ ∛(216g³) = 6g

∴ The binomial is (2f - 6g)

- Lets make the trinomial

∵ (2f)² = 4f²

∵ (2f)(6g) = 12fg

∵ (6g)² = 36g²

∴ The trinomial = (4f² + 12fg + 36g²)

∴ The factorization of 8f³ - 216g³ = (2f - 6g)(4f² + 12fg + 36g²)

∴ The value of the missing coefficient is 12

7 0
3 years ago
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