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4 years ago

Which of the following equations are equivalent to-2m-5m-8 #-(-7) + m?D-15m-4md:7m-8-rn-4□-3m-8-4-m□m-4.7m-8-8.7m- 4-m□-8.3m-4-m

Mathematics

1 answer:

Readme [11.4K]4 years ago

4 0

-2m - 5m - 8 = 3 + (-7) + m
-7m - 8 = 3 - 7 + m
-7m - 8 = m - 4 <=== here is one

m - 4 = -7m - 8 <=== another one
-8 - 7m = -4 + m <== and another one

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3 years ago

5. photo album: $25.50, 10% markup

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Answer:

$28.05

Step-by-step explanation:

If you want to find how much the photo album is after the markup, you first have to find 10% of the original price. 10% of $25.50 is $2.55, so you add $2.55 and $25.50 to find the price after the markup.

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3 years ago

A The length of a rectangle is 4 m more

Lady bird [3.3K]

Given :

The length of a rectangle is 4m more than the width.
The area of the rectangle is 45m²

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To Find :

The length and width of the rectangle.

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Solution :

We know that,

$\qquad { \pmb{ \bf{Length \times Width = Area_{(rectangle)}}}}\:$

So,

Let's assume the length of the rectangle as x and the width will be (x – 4).

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Now, Substituting the given values in the formula :

$\qquad \sf \: { \dashrightarrow x \times (x - 4) = 45 }$

$\qquad \sf \: { \dashrightarrow {x}^{2} - 4x = 45 }$

$\qquad \sf \: { \dashrightarrow {x}^{2} - 4x - 45 = 0 }$

$\qquad \sf \: { \dashrightarrow {x}^{2} - 9x+ 5 x - 45 = 0 }$

$\qquad \sf \: { \dashrightarrow x(x - 9) + 5(x - 9) = 0 }$

$\qquad \sf \: { \dashrightarrow (x - 9) (x + 5) = 0 }$

$\qquad \sf \: { \dashrightarrow x = 9, \: \: x = - 5}$

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Since, The length can't be negative, so the length will be 9 which is positive.

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$\qquad { \pmb{ \bf{ Length _{(rectangle)} = 9\:m}}}\:$

$\qquad { \pmb{ \bf{ Width _{(rectangle)} = 9 - 4=5\: m}}}\:$

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2 years ago

A political candidate has asked you to conduct a poll to determine what percentage of people support him. If the candidate only

Nadusha1986 [10]

Answer:

The sample size required is, n = 502.

Step-by-step explanation:

The (1 - α)% confidence interval for population proportion is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p\cdot (1-\hat p)}{n}}$

The margin of error is:

$MOE=z_{\alpha/2}\sqrt{\frac{\hat p\ \cdot (1-\hat p)}{n}}$

Assume that 50% of the people would support this political candidate.

The margin of error is, MOE = 0.05.

The critical value of z for 97.5% confidence level is:

z = 2.24

Compute the sample size as follows:

$MOE=z_{\alpha/2}\sqrt{\frac{\hat p\ \cdot (1-\hat p)}{n}}$

$n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}$

$=[\frac{2.24\times \sqrt{0.50(1-0.50)}}{0.05}]^{2}\\\\=501.76\\\\\approx 502$

Thus, the sample size required is, n = 502.

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3 years ago

What is the standard form of the polynomial 4x+6y^3x-xy+xy^2

meriva

The required standard form is $6y^3x+xy^2-xy+4x$

<h3>Polynomial function</h3>

Given the polynomial function expressed as:

$4x+6y^3x-xy+xy^2$

We are to express this polynomial in standard form

To do that, we will write the degrees of the variables in descending order of magnitude as shown:

$4x+6y^3x-xy+xy^2\\6y^3x+xy^2-xy+4x$

Hence the required standard form is $6y^3x+xy^2-xy+4x$

Learn more on polynomial functions here: brainly.com/question/7693326

7 0

2 years ago