Which expression is equivalent -8-(-12)


1. 8-12
2. -8+12
3. -8-12
4. -(8+12)

Need answers ASAP!!!!!!

Answer:

6

Step-by-step explanation:

Answer:

A. (1, 2) and (4, 3)

B. Slope (m) = ⅓

C. y - 2 = ⅓(x - 1)

D.[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]

E. [tex] -\frac{1}{3}x + y = \frac{5}{3} [/tex]

Step-by-step explanation:

A. Two points on the line from the graph are: (1, 2) and (4, 3)

B. The slope can be calculated using two points, (1, 2) and (4, 3):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 2}{4 - 1} = \frac{1}{3} [/tex]

Slope (m) = ⅓

C. Equation in point-slope form is represented as y - b = m(x - a). Where,

(a, b) = any point on the graph.

m = slope.

Substitute (a, b) = (1, 2), and m = ⅓ into the point-slope equation, y - b = m(x - a).

Thus:

y - 2 = ⅓(x - 1)

D. Equation in slope-intercept form, can be written as y = mx + b.

Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.

y - 2 = ⅓(x - 1)

3(y - 2) = x - 1

3y - 6 = x - 1

3y = x - 1 + 6

3y = x + 5

[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]

E. Convert the equation in (D) to standard form:

[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]

[tex] -\frac{1}{3}x + y = \frac{5}{3} [/tex]

Answer:

6

Step-by-step explanation:

divide 450 and 75

Answer:

6

Step-by-step explanation:

The other person is correct I did the test

Answer:

The volume of Jill's rectangular prism is 40 cm^3

Step-by-step explanation:

w*l*h=area

2*2*10

4*10

40 cm^3

Hope this helps!!

Answer:

x=20

Step-by-step explanation:

add the to both sides

3.5x=70

divide both sides by 3.5

x=20

Answer:

Steak:$38

Chicken:$24.75

Fish:$16.31

Total:$79.06

Step-by-step explanation:

8 x 3 1/2 = 8 x 7/2 = 56/2 = 28

4 2/4 x 5.50 = 4 2/4 x 5 1/2 = 18/4 x 11/2 = 198/8 = 24 6/8 = 24.75

2 1/4 x 7.25 = 2 1/4 x 7 1/4 = 9/4 x 29/4 = 261/16 = 16 5/16 = 16.312 (round it and get 16.31)

38 + 24.75 + 16.31 = 79.06

Answer:

f(g(-1)) = 22

g(f(-1))=6

Step-by-step explanation:

We are given

[tex]f(x)=5x+2 \\g(x)=3-x[/tex]

We need to find f(g(-1)) and g(f(-1))

Finding f(g(-1))

First we will find f(g(x)) i.e

[tex]f(g(x))=5(3-x)+2\\f(g(x))=15-5x+2\\f(g(x))=-5x+17[/tex]

Now finding f(g(-1)) by putting x=-1

[tex]f(g(x))=-5x+17\\Put \ x=-1\\f(g(-1))=-5(-1)+17\\f(g(-1))=5+17\\f(g(-1))=22[/tex]

So, f(g(-1)) = 22

Finding g(f(-1))

First we will find g(f(x)) i.e

[tex]g(f(x))=3-(5x+2)\\g(f(x))=3-5x-2\\g(f(x))=-5x+1[/tex]

Now finding g(f(-1)) by putting x=-1

[tex]g(f(x))=-5x+1\\Put \ x = -1\\g(f(-1))=-5(-1)+1\\g(f(-1))=5+1\\g(f(-1))=6[/tex]

So, g(f(-1))=6

Answer:

Yes

Step-by-step explanation:

Answer:

divide 15 into 82 to get 5 is the first step

Step-by-step explanation:

Answer:

The answer is A, ¨Divide 15 into 82 to get 5.¨

Step-by-step explanation:

Please make as brainliest! Thanks and i hope it is right!!! Pls say if wrong. Bye

[tex](3x + 6)(5x + 4) \\ [/tex]

[tex] = 3x(5x + 4) + 6(5x + 4)[/tex]

[tex] = 15 {x}^{2} + 12x + 30x + 24[/tex]

[tex] = 15 {x}^{2} + 42x + 24[/tex]

It will take approximately four years for the population to be fewer than 13,000.

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

The population of the town is 20.000. It decreases at a rate of 9% per year.

The population of the town decreases by 20,000 × 9% = 1,800 people per year.

To determine how many years it takes for the population to fall below 13,000, you can use the formula:

= (20,000 - 13,000) / 1,800

= 3.88 ≈ 4 years

So, it will take approximately 4 years for the population to be fewer than 13,000.

To learn more about the rate click here :

https://brainly.com/question/12786410

#SPJ6

Answer:

26

Step-by-step explanation:

Answer:

Step-by-step explanation:

the slope of line n is also -3 as it is parallel to m

The answer is A

Answer: 1 625.5cm or 16.255m

Step-by-step explanation:

convert all m measurements into cm by multiplying, add all the cm measurements together. this equation is 12.5cm+ 475cm+ 245cm+ 587.5cm+ 305.5cm= 1625.5cm.

convert the cm measurements back to m measurements (i only assume because you said . m at the end)

The total amount of fabric she cut is  17.255 m .

The total length of the fabric can be determined by adding the length of the different pieces. Addition is determining the total value or summing two or more numbers.

In order to add the different lengths, the lengths have to be in meters.

100cm - 1 meter

475cm = 475 / 100 = 4.75m

245cm = 245 / 100 = 2.45m

Now that all the lengths are in the same units, they can now be added together; 1.125 + 5.875 + 3.055 + 4.75 + 2.45 = 17.255 m

To learn more about addition, please check: https://brainly.com/question/349488

Answer:

This is not a function

Step-by-step explanation:

Hope this helps

Answer:

2 angles

Step-by-step explanation:

only 2 angles are ternate exteriors

Answer: 12

Step-by-step explanation:

I did it

==========================================================

Explanation:

There are 6 letters to pick from {A,B,C,D,E,F} and we have two slots to fill, where no repeats are allowed. This means we have 6*5 = 30 different ways to pick two letters.

There are 10 digits to pick from {0,1,2,...,9} and there are 3 slots to fill. This gives 10*9*8 = 720 different permutations for this portion.

Overall, we have 30*720 = 21600 different serial numbers possible.

Answer:

There are 48 male employees.

Step-by-step explanation:

144 divided by 3 = 48

48 x 1 = 48

Therefore there are 48 male employees.

Answer:

[tex] 1\frac{1}{6} [/tex]

Step-by-step explanation:

Given:

[tex] \frac{2}{3}*1\frac{3}{4} [/tex]

Required:

Evaluate

SOLUTION:

To evaluate, we need to convert the mixed fraction to improper fraction, then multiply both fractions together.

Thus:

[tex] \frac{2}{3}*\frac{7}{4} [/tex]

Multiply the numerators together, and multiply the denominators together

[tex] = \frac{2 \times 7}{3 \times 4} [/tex]

[tex] = \frac{14}{12} [/tex]

Simply the fraction by dividing the numerator and denominator by 2

[tex] = \frac{7}{6} [/tex]

[tex] = 1\frac{1}{6} [/tex]

Answer:

20.6

Step-by-step explanation:

The exponential function to solve the problem.

A = [tex]A_0[/tex] [tex]e^{rt}[/tex]

A = population in time t.

[tex]A_0[/tex] = Initial population.

r = growth rate.

t = time

The number of days taken to triple the population is 20.7 days.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The exponential function to solve the problem.

A = [tex]A_0[/tex] [tex]e^{rt}[/tex]

A = population in time t.

[tex]A_0[/tex] = Initial population.

r = growth rate.

t = time

Now,

A = 2[tex]A_0[/tex]

t = 13

A = [tex]A_0[/tex] [tex]e^{rt}[/tex]

[tex]2A_0[/tex] = [tex]A_0e^{13r}[/tex]

2 = [tex]e^{13r}[/tex]

Taking logs on both sides.

log 2 = 13r log e

0.30 = 13r

r = 0.30/13

r = 0.023

Now,

A = 3[tex]A_0[/tex]

A = [tex]A_0[/tex] [tex]e^{rt}[/tex]

3 = [tex]e^{rt}[/tex]

log 3 = rt

0.48 = 0.023t

t = 0.48/0.023

t = 20.7 days.

Thus,

The number of days taken to triple the population is 20.7 days.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ5

Answer:

Yes the conclusion in the question  is a reasonable conclusion

Step-by-step explanation:

From the question we are told that

    The sample size is  [tex]n_1 = n_2 = n = 250[/tex]

     The sample mean for USA is  [tex]\= x_1 = 391 \ minutes[/tex]

     The sample mean for Mexico is [tex]\= x_2 = 426 \ minutes[/tex]

     The sample standard deviation for USA is  [tex]s_1 = 25 \ minutes[/tex]

    The sample standard deviation for Mexico is  [tex]s_2 = 49 \ minutes[/tex]

The null hypothesis is  [tex]H_o : \mu_1 = \mu_2[/tex]

The alternative hypothesis is  [tex]H_a : \mu_1 < \mu_2[/tex]

Generally the test statistics is mathematically represented as

        [tex]z = \frac{\= x_1 - \= x_2 }{ \sqrt{ \frac{s_1^2}{n_1} + \frac{s_2^2}{n_2 } } }[/tex]

=>     [tex]z = \frac{ 391 - 426 }{ \sqrt{ \frac{25^2}{250} + \frac{49^2}{250} } }[/tex]

=>     [tex]z = -10[/tex]

From the z table  the area under the normal curve to the left corresponding to   -10  is

    [tex]p-value = P(Z < -10 ) = 0.00[/tex]

Generally from the value obtained we see that

  The p-value is  <  [tex]\alpha[/tex]  hence

The decision rule is

Reject the null hypothesis

The conclusion is  

 The is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico

Hence the conclusion in the question is a  reasonable conclusion

The p-value is less than [tex]\alpha[/tex] hence reject the null hypothesis. This is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico and hence it is a reasonable conclusion given in the problem.

Given :

According to the given data the sample size of the US and Mexico is [tex]\rm n_1=n_2=250[/tex].

The hypothesis are as follows:

Null Hypothesis is [tex]\rm H_0 : \mu_1=\mu_2[/tex]

Alternate Hypothesis is [tex]\rm H_1 : \mu_1<\mu_2[/tex]

Now, the mathematical representation of test statistics is:

[tex]\rm z = \dfrac{\bar{x_1}-\bar{x_2}}{\sqrt{\dfrac{\sigma^2_1}{n_1}+\dfrac{\sigma^2_2}{n_2}} }[/tex]

[tex]\rm z = \dfrac{391-496}{\sqrt{\dfrac{25^2}{250}+\dfrac{49^2}{250}} }[/tex]

z = -10

According to the z-table:

p - value = p (Z < -10) = 0

The p-value is less than [tex]\alpha[/tex] hence reject the null hypothesis.

This is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico and hence it is a reasonable conclusion given in the problem.

For more information, refer to the link given below:

https://brainly.com/question/23044118

Answer:

Can you try turning the 5,8 into a ratio? thats all I can think of right now

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

Equivalent expression is

Answer:

The coordinates of the vertices of the final image will be:

A''(-6, 8), B''(-7, -2), and C''(0, -2)

Hence, option (B) is true.

Step-by-step explanation:

Given the triangle with the vertices

Thus,

The rule of reflection across the x-axis:

(x, y) → (x, -y)

so

A(-1, -8) → A'(-1, -(-8)) = A'(-1, 8)

B(-2, 2) → B'(-2, -2) = B'(-2, -2)

C(5, 2) → C'(5, -2) = C'(5, -2)

Then, translate the new triangle 5  units to the left

Rule of translating 5 units to the left

(x, y) → (x-5, y)

so

A'(-1, 8) → A''(-1-5, 8) = A''(-6, 8)

B'(-2, -2) → B''(-2-5, -2) = B''(-7, -2)

C'(5, -2) → C''(5-5, -2) = C''(0, -2)

Therefore, the coordinates of the vertices of the final image will be:

A''(-6, 8), B''(-7, -2), and C''(0, -2)

Hence, option (B) is true.

Answer: b

Step-by-step explanation:

Answer:

2x - 3 = -7 (add 3 to both sides)

2x = -4 (divide each side by 2 to get x alone)

x = -2