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3 years ago

The disctance between -8 and 5 on the number line can be found by which expression??

1 answer:

5 0

It's A. First of all, one of the only 2 things in math that will NEVER be negative is distances/lengths and times. You have a distance here, so because one of your 2 numbers is negative, you have to take the absolute value of the difference. -8-5 = -11, but the absolute value of that is 11. Put the numbers on a number line and count the units between -8 and +5 and there are 11 units between those 2 numbers.

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B - (- 7) =-1<br> what is b?

irina1246 [14]

B-(-7)= -1

First negative multiply by negative is POSITIVE.

So: B+7= -1

Subtract 7 from both sides

B= -7-1

B= -8.

Answer: -8.

To Check Answer: Plug in the variable of B in the original equation.

So: -8-(-7)= -1

-8+7= -1

-1= -1

If the Solution works out the answer is right.

4 0

3 years ago

Read 2 more answers

La funcion que representa el beneficio obtenido por una empresa si vende x unidades de uno de sus productos es f(x)= -70x^2+2800

DerKrebs [107]

Answer:

$20$

Step-by-step explanation:

La función es

$f(x)=-70x^2+2800x-45000$

Diferenciando con respecto a $x$ obtenemos

$f'(x)=-140x+2800$

Igualar con cero

$0=-140x+2800\\\Rightarrow x=\dfrac{2800}{140}\\\Rightarrow x=20$

Doble derivada de la función

$f''(x)=-140$

Entonces, la función es máxima cuando el número de unidades vendidas, $x=20$ ,

3 0

2 years ago

Simplify 6 to the 3rd

elixir [45]

Answer:

Isnt it 2?

Step-by-step explanation:

7 0

3 years ago

HELP PLZ PICK ONE OF THE ONES SHOWN:

defon

I am doing with Question Number 2

Let the two numbers be 'x' and 'y'.

According to the question, the product of two numbers is 14.

$x \times y=14$

So, xy=14 (Equation 1)

Now, one of the numbers is 3 ½ times the other.

So, $x = 3\frac{1}{2}\times y$

$x=\frac{7}{2}y$ (Equation 2)

Substituting the value of 'x' from equation 2 in equation 1, we get

$\frac{7}{2}y \times y = 14$

$\frac{7}{2}y^{2} = 14$

$y^{2} = 4$

So, y= 2 and -2

So, $x=\frac{14}{2}$ and $x=\frac{14}{-2}$

x=7 and -7

Numbers are 2,7 and -2,-7.

Sum of numbers 2 and 7 = 9

Sum of numbers -2 and -7 = -9.

6 0

3 years ago

Samuel and Christopher go to the movie theater and purchase refreshments for their friends. Samuel spends a total of $34.00 on 6

Llana [10]

Answer:

The system of equations is :

6 p + 4 d = 34

12 p + 7 d = 66.25

The price of a drink is $1.75

Step-by-step explanation:

Assume that the price of one bag of popcorn is $p and the price of a drink is $d

∵ Samuel spends a total of $34 on 6 bags of popcorn and

4 drinks

- Multiply p by 6 and d by 4, then add the products and equate

the sum by 34

∴ 6 p + 4 d = 34 ⇒ (1)

∵ Christopher spends a total of $66.25 on 12 bags of popcorn

and 7 drinks

- Multiply p by 12 and d by 7, then add the products and equate

the sum by 66.25

∴ 12 p + 7 d = 66.25 ⇒ (2)

The system of equations is :

6 p + 4 d = 34

12 p + 7 d = 66.25

Now let us solve it

Multiply equation (1) by -2 to make the coefficients of p in the two equations equal in values and opposite in signs to eliminate it

∵ -12 p - 8 d = - 68 ⇒ (3)

- Add equations (2) and (3)

∴ - d = - 1.75

- Divide both sides by -1

∴ d = 1.75

The price of a drink is $1.75

7 0

3 years ago