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3 years ago

-24+(-5.2+7.2)-(-23-9.4)

1 answer:

5 0

This is a question testing your knowledge of order of operations. When we look at a problem we have to do certain things 1st. The order in which we attack these things is the order of operations. PEMDAS is the acronym for the order parentheses, exponents, multiplication, division, addition, and subtraction and this is the way we need to look at all problems in math. For this equation...

-24 + (-5.2 + 7.2) - (-23 - 9.4)=

First solve inside the parentheses

-24 + (2) - (-32.4) =

Simplify (don't forget minus a negative means plus positive)

-22 + 32.4 = 10.4

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Below is the graph of y= x.<br> Translate it to make it the graph of y=<br> x-1 + 4.

Oduvanchick [21]

First, to shift the graph of $y=x$ 1 unit to the right, so $y=x-1$
Second, to shift the graph of $y=x-1$ 4 units to the left, so $y=x-1+4$

<h2>Explanation:</h2>

To translate the graph of a function is part of Rigid Transformations because the basic shape of the graph is unchanged

$Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:$

$\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c$

$\bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)$

In this case, we have the graph of:

$y=x$

And we need to translate it to make it the graph of:

$y=x-1+4$

According to our rules we need:

First, to shift the graph of $y=x$ 1 unit to the right, so $y=x-1$
Second, to shift the graph of $y=x-1$ 4 units to the left, so $y=x-1+4$

But $y=x-1+4$ is the same as $y=x+3$ , so the previous steps can be simplified as:

Shifting the graph of $y=x$ 3 unit to the left.

Below are shown those graphs:

The blue one is $y=x$
The red one is $y=x-1+4$

<h2>Learn more:</h2>

Shifting graphs: brainly.com/question/10010217

#LearnWithBrainly

6 0

3 years ago

The temperature in the late afternoon

Fantom [35]

Answer:

-7.5 - (8.5 + 5)

Step-by-step explanation:

We just add together the values of how much it dropped at different parts of the day, and subtract them from what we started with. The parenthesis are important cause we want to know what the total temperature drop for the day was before we subtract it to get the actual temperature we end up with.

6 0

3 years ago

Read 2 more answers

Which expressions are equivalent to 7x – 14? Check all that apply. 14 – 7x x – 2 –(14 – 7x) 7(x – 2) 3x – 14 4x 2x – 10 5x 4.

kondaur [170]

Linear equation are the equation which has the highest power of the unknown variable is 1.The expressions given in the option 1, 2, and 3 are equivalent to $7x - 14$ .

The equations given in the problem are the linear equations.

<h3>Linear equation</h3>

Linear equation are the equation which has the highest power of the unknown variable is 1.

Given-

1) The given expression in the problem is,

$f(x)=7x-14$

Rewrite the equation as,

$f(x)=(7x-14)$

Take out the negative sign from the bracket,

$f(x)=-(-7x+14)$

Rewrite the equation with positive terms first.

$f(x)=-(14-7x)$

Hence the given equation is equivalent to the option 1.

2) The given equation,

$f(x)=7x-14$

On solving further take out the 7 common from the bracket,

$f(x)=7(x-2)$

Thus the given equation is equivalent to the option 2.

3) The given equation,

$f(x)=7x-14$

Split the term of <em>x,</em>

Rewrite the equation,

$f(x)=3x-14+4x$

Hence the given equation is equivalent to the option 3.

4) The given equation,

$f(x)=7x-14$

Split the term of <em>x </em>and constant term,

Rewrite the equation,

$f(x)=2x-10+5x-4$

Hence the given equation is not equivalent to the option 4.

Thus the expressions given in the option 1, 2, and 3 are equivalent to $7x - 14$ .

Learn more about the linear equation here;

brainly.com/question/11897796

6 0

2 years ago

In order to estimate the difference between the average hourly wages of employees of two branches of a department store, the fol

Julli [10]

Answer:

$0.071,1.928$

Step-by-step explanation:

Downtown Store North Mall Store

Sample size n 25 20

Sample mean $\bar{x}$ $9 $8

Sample standard deviation s $2 $1

$n_1=25\\n_2=20$

$\bar{x_1}=9\\ \bar{x_2}=8$

$s_1=2\\s_2=1$

$x_1-x_2=9-8=1$

Standard error of difference of means = $\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}$

Standard error of difference of means = $\sqrt{\frac{2^2}{25}+\frac{1^2}{20}}$

Standard error of difference of means = $0.458$

Degree of freedom = $\frac{\sqrt{(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}})^2}{\frac{(\frac{s_1^2}{n_1})^2}{n_1-1}+\frac{(\frac{s_2^2}{n_2})^2}{n_2-1}}$

Degree of freedom = $\frac{\sqrt{(\frac{2^2}{25}+\frac{1^2}{20}})^2}{\frac{(\frac{2^2}{25})^2}{25-1}+\frac{(\frac{1^2}{20})^2}{20-1}}$

Degree of freedom =36

So, z value at 95% confidence interval and 36 degree of freedom = 2.0280

Confidence interval = $(x_1-x_2)-z \times SE(x_1-x_2),(x_1-x_2)+z \times SE(x_1-x_2)$

Confidence interval = $1-(2.0280)\times 0.458,1+(2.0280)\times 0.458$

Confidence interval = $0.071,1.928$

Hence Option A is true

Confidence interval is $0.071,1.928$

4 0

3 years ago

Given g(x)= 10x + 2, find g(2)

nataly862011 [7]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers