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3 years ago

mula1" title=" \sqrt{ x^{2} }= -x
Find the Domain " alt=" \sqrt{ x^{2} }= -x
Find the Domain " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

grigory [225]3 years ago

6 0

\sqrt{ x^{2} }= -x
$-x \geq 0 x \leq 0$

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That is the answer

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Solve the inequality. T/4 > 7

Digiron [165]

Answer:

T>28

Step-by-step explanation:

Multiply 4 to both sides to get your variable alone.

3 0

2 years ago

Show the work please

Kay [80]

Answer:

1) (x + 3)(3x + 2)

2) x= +/-root6 - 1 by 5

Step-by-step explanation:

3x^2 + 11x + 6 = 0 (mid-term break)

using mid-term break

3x^2 + 9x + 2x + 6 = 0

factor out 3x from first pair and +2 from the second pair

3x(x + 3) + 2(x + 3)

factor out x+3

(x + 3)(3x + 2)

5x^2 + 2x = 1 (completing squares)

rearrange the equation

5x^2 + 2x - 1 = 0

divide both sides by 5 to cancel out the 5 of first term

5x^2/5 + 2x/5 - 1/5 = 0/5

x^2 + 2x/5 - 1/5 = 0

rearranging the equation to gain a+b=c form

x^2 + 2x/5 = 1/5

adding (1/5)^2 on both sides

x^2 + 2x/5 + (1/5)^2 = 1/5 + (1/5)^2

(x + 1/5)^2 = 1/5 + 1/25

(x + 1/5)^2 = 5 + 1 by 25

(x + 1/5)^2 = 6/25

taking square root on both sides

root(x + 1/5)^2 = +/- root(6/25)

x + 1/5 = +/- root6 /5

shifting 1/5 on the other side

x = +/- root6 /5 - 1/5

x = +/- root6 - 1 by 5

x = + root6 - 1 by 5 or x= - root6 - 1 by 5

4 0

3 years ago

Aunt Maggie’s car broke down on iterestate 10. Sams towing charges a $57 hoop up fee and $2.00 per mile towed. Reginas towing ch

lawyer [7]

Answer:

Both situations can be modeled using linear functions

The rate of change of the function that models Regina's towing charge is 2.5

The y-intercept of the functions that model both situations represents the hook up fee

Step-by-step explanation:

Let

x -----> the number of miles towed

y ----> the total charge in dollars

we know that

The linear equation in slope intercept form is equal to

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value (value of y when the value of x is equal to zero)

we have

Sam’s Towing

In this case the slope of the linear equation is equal to the unit rate

The unit rate is $2.00 per mile towed

The y-intercept is equal to the charge per fee

therefore

the linear equation is

Regina’s Towing

In this case the slope of the linear equation is equal to the unit rate

The unit rate is $2.50 per mile towed

The y-intercept is equal to the charge per fee

therefore

the linear equation is

Verify each statement

case 1) Both situations can be modeled using linear functions

The statement is true

See the explanation

case 2) The y-intercept of the function that models Sam's Towing charges is 2

The statement is False

The y-intercept of the function that models Sam's Towing charges is $57

case 3) The rate of change of the function that models Regina's towing charge is 2.5

The statement is true

See the explanation

case 4) The y-intercept of the functions that model both situations represents the hook up fee

The statement is true

See the explanation

case 5) The rate of change of the functions that model both situations represent the miles traveled per hour

The statement is False

The rate of change of the functions that model both situations represent dollars by mile towed

8 0

3 years ago

X divided by 3 equal -12

sammy [17]

The answer would be -36 because all i did is multiply -12 with 3 and you get -36.

hope this helped :)

7 0

3 years ago

Read 2 more answers

Multiple by moving the decimal point 24.6x100,37x1,000 0.367x10,000,0.005x1000,000 .

lesya [120]

The answers are 2460, 37,000, 3670 and 5000

Step-by-step explanation:

Step 1: Find the answers for each by multiplying.

24.6 × 100 = 2460 (moved one decimal point)

37 × 1000 = 37,000

0.367 × 10000 = 3670 (moved three decimal points)

0.005 × 1000,000 = 5000 (moved three decimal points)

8 0

3 years ago