All categories

4 years ago

Solve this please. |x|<13

Mathematics

1 answer:

Olenka [21]4 years ago

5 0

Answer:

-13 < x < 13

Step-by-step explanation:

Recall that the definition of absolute value is as follows:

$|x|=\left \{ {{x\,,\,\,\mbox{for}\,\,x\geq 0} \atop {-x\,,\,\,\mbox{for}\,\,x$

So we just apply this to solve your inequality:

$|x|$

You might be interested in

The sum of three numbers is 7. One of the numbers is one more than the sum of the other two numbers. It is also four times the d

Sedaia [141]

The only numbers I could think of would be 1, 2, and 4 because 4 is greater than 3 (2+1) and four times greater than 1 (2-1)

5 0

4 years ago

Read 2 more answers

Worth 11 points please help me!

Vesnalui [34]

Answer:

124°

I hope it's helps you

7 0

3 years ago

Read 2 more answers

Suppose you waited 10 years to invest in the same retirement fund and have the same $400,000 for retirement at the same 8% inter

Ierofanga [76]

Answer:

Step-by-step explanation:

Using the compound interest formula to fins the amount after 10years;

A = P(1+r)^n

Principal P = $400,000

Rate r = 8% = 0.08

Time t = 10 years

Substitute

A = 400,000(1+0.08)^10

A = 400,000(1.08)^10

A = 400,000(2.1589)

A = 863,569.99

A ≈ 863,570

Hence the amount after 10 years is $863,570

Monthly deposit = $863,570/120 (10 years is equivalent to 120months)

Monthly deposit = 7,196.42

<em>Therefore he will have to deposit $7,196.42 into his account monthly</em>

7 0

3 years ago

The Rogers Park cafeteria sells veggie pizza and cheese pizza. Today they sold 25 pizzas at lunch. They sold seven more cheese p

MA_775_DIABLO [31]

Let the number sold of veggie pizza be a
The number sold of cheese pizza be b
a+b=25…1
A+7=b…2

Sub 2 into 1
a + a+7 = 25
2a+7=25
2a=18
a=9

Sub a=9 into 2
9+7=b
b=16

They sold 9 veggie pizza and 16 cheese pizza

8 0

3 years ago

A restaurant operator in Accra has found out that during the lockdown,if she sells a plate of her food for Ghc 20 each,she can s

ella [17]

The demand equation illustrates the price of an item and how it relates to the demand of the item.

The slope of the demand function is -1/2
The equation of the demand function is: $R(x) = (300 - 10x) \times (20 + 5x)$
The price that maximizes her revenue is: Ghc 85

From the question, we have:

$Plates = 300$

$Price = 20$

The number of plates (x) decreases by 10, while the price (y) increases by 5. The table of value is:

$\begin{array}{cccccc}x & {300} & {290} & {280} & {270} & {260} \ \\ y & {20} & {25} & {30} & {35} & {40} \ \end{array}$

The slope (m) is calculated using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

So, we have:

$m = \frac{25-20}{290-300}$

$m = \frac{5}{-10}$

$m = -\frac{1}{2}$

The equation of the demand is as follows:

The initial number of plates (300) decreases by 10 is represented as: (300 - 10x).

Similarly, the initial price (20) increases by 5 is represented as: (20 + 5x).

So, the demand equation is:

$R(x) = (300 - 10x) \times (20 + 5x)$

Open the brackets to calculate the maximum revenue

$R(x) =6000 + 1500x - 200x - 50x^2$

$R(x) =6000 + 1300x - 50x^2$

Equate to 0

$6000 + 1300x - 50x^2 =0$

Differentiate with respect to x

$1300 - 100x =0$

Collect like terms

$100x =1300$

Divide by 100

$x =13$

So, the price at maximum revenue is:

$Price= 20 + 5x$

$Price= 20 + 5 * 13$

$Price= 85$

In conclusion:

The slope of the demand function is -1/2
The equation of the demand function is: $R(x) = (300 - 10x) \times (20 + 5x)$
The price that maximizes her revenue is: Ghc 85