All categories

3 years ago

Solve the absolute value equation. |x| = –15

Mathematics

1 answer:

lisov135 [29]3 years ago

7 0

$|x|=-15\ \ FALSE\ x\in\O\\\\because\ |x|\geq0\ for\ every\ x\in\mathbb{R}.$

You might be interested in

If you rent a car for one day and drive 225 miles, the cost is $80. If you drive 350 miles in one day, the cost is $105. Let cm)

kolezko [41]

Answer:

a) $(x_1 = 225, y_1 = 80) , (x_2 = 350, y_2 = 105)$

And we want to find a function:

$C (m) = b_1 m + b_0$

We can find the slope with this formula:

$b_1= \frac{105-80}{350-225}= \frac{25}{125}=0.2$

And then we can use the point $(x_1 = 225, y_1 = 80)$ to find the intercept $b_o$ and we got:

$80 = 0.2*225 +b_0$

$b_0 = 80-45 = 35$

So then the linear function is given by:

$C(m) = 0.2 m + 35$

b) For this case we have that m = 475 so we can replace into the function to find the cost like this:

$C(m =475) = 0.2*475 + 35 = 130$

And for the other case we have a cost of 155 and we want to find the number of miles associated so we can do this:

$155 = 0.2m + 35$

$155-35= 120 = 0.2 m$

$m= \frac{120}{0.2}= 600 mi$

Step-by-step explanation:

For this case we can define the following notation:

m= represent the miles travelled

C= represent the cost

Part a

For this case we have the following two points given:

$(x_1 = 225, y_1 = 80) , (x_2 = 350, y_2 = 105)$

And we want to find a function:

$C (m) = b_1 m + b_0$

We can find the slope with this formula:

$b_1= \frac{105-80}{350-225}= \frac{25}{125}=0.2$

And then we can use the point $(x_1 = 225, y_1 = 80)$ to find the intercept $b_o$ and we got:

$80 = 0.2*225 +b_0$

$b_0 = 80-45 = 35$

So then the linear function is given by:

$C(m) = 0.2 m + 35$

Part b

For this case we have that m = 475 so we can replace into the function to find the cost like this:

$C(m =475) = 0.2*475 + 35 = 130$

And for the other case we have a cost of 155 and we want to find the number of miles associated so we can do this:

$155 = 0.2m + 35$

$155-35= 120 = 0.2 m$

$m= \frac{120}{0.2}= 600 mi$

6 0

3 years ago

La temperatura registrada en una ciudad a las tres A.M. fue de 0.9 centígrados si para las cuatro P.M. la temperatura hace reduj

DedPeter [7]

answer-pues hay un cambio de temperatura entonces

0.9-1/2

0.4

4 0

3 years ago

A large water tank measures 6 feet across and 4 feet high. It is being filled with water at a rate of 10 gallons per minute. Abo

pentagon [3]

1.4 hours

It took a while to get this one, and I must admit, I'm not the best at explaining anything so I'm simply going to leave the answer above to help those who are stuck.

8 0

3 years ago

Please help someone please

aliya0001 [1]

Answer:

6(x +8)

Step-by-step explanation:

Factorising:

6x + 48

Take 6 as common, Therefore:

6(x +8)

Because:

6 * x = 6x

6 * 8 = 48

therefore:

6x + 48 = 6(x + 8)

Hope it helped!!!

3 0

3 years ago

Triangle FDE is a rotation of a scalene triangle ABC.<br> Which statement is correct?

Colt1911 [192]

Answer: m∠E = m∠C

m∠D = m∠B

Step-by-step explanation: When the triangle is rotated, the sizes and shapes of the angles remain the same. They just change positions. Match the shapes, the corresponding letters, and the measures of the angles will be equal.

It's like tipping over a chair. The legs are still the legs even if they are not still on the floor.

4 0

3 years ago

Read 2 more answers