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3 years ago

What single percentage change is equivalent to a 7% decrease followed by a 22% decrease?

Mathematics

1 answer:

quester [9]3 years ago

5 0

Answer:

<em>The single percentage change is 27.46%</em>

Step-by-step explanation:

<u>Percentage</u>

Suppose x is the initial number. It will be decreased by 7%.

(7/100)x=0.07x

x - 0.07x = 0.93x

This last number will be decreased by 22%.

0.93x*(22/100)=0.2046x

0.93x-0.2046x=0.7254x

The last number is 72.54% of the initial number. This is equivalent to a single decrease of:

100% - 72.54% = 27.46%

The single percentage change is 27.46%

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4 years ago

A student says that the x-intercept of the graph of × + 2y =5 is the point (0,5). Is the student correct or incorrect? Explain y

ivanzaharov [21]

The student is incorrect, the actual x-intercept is (5, 0).

<h3>Is the student correct or incorrect?</h3>

Here we have the equation:

x + 2y = 5

The student says that the x-intercept is the point (0, 5).

So if you look at the point you already can see that the student is incorrect, this is because the x-intercept always must have a y-value of 0. (the graph only intercepts the x-axis when y = 0).

So the point (0, 5) can't be an x-intercept.

For the given function:

x +2y = 5

The x-intercept is given by:

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If you want to learn more about x-intercepts:

brainly.com/question/3951754

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2 years ago

Can someone help with all of of it ??

Bad White [126]

Answer:

y = -2x + 1

Step-by-step explanation:

First we're going to find the gradient (the number in the green box with the question mark).

We use the formula $\frac{y2-y1}{x2-x1}$ to calculate the gradient.

Let's make (-1, 3) be our (x1, y1), and (2, -3) be our (x2, y2).

Substitute the points into our formula:

gradient = $\frac{(-3)-3}{2- (-1)}$

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Next, we're going to find the y-intercept (the number in the grey box)

Now that we have the gradient, our equation looks like this:

y = -2x + c

We use the letter c to represent the y-intercept of a linear graph.

Substitute one of the points given into the x and y in the equation. Let's use (-1, 3).

3 = -2(-1) + c

3 = 2 + c

c = 1

So our equation is y = -2x + 1

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3 years ago