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3 years ago

Solve this please. |x|<13

Mathematics

1 answer:

Olenka [21]3 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:

$|x|$

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A grocer sells 30 loaves of bread a day. The cost is $2.50 per loaf. The grocer estimates that for each $0.50 increase in cost,

Viktor [21]

Answer:

none of the above

Step-by-step explanation:

The grocer's revenue will be the product of the number of loaves sold (30-2x) and their price (2.50+0.50x).

Revenue will be positive for values of x between those that make these factors be zero. The number of loaves sold will be zero when ...

... 30 -2x = 0

... 15 -x = 0 . . . . . divide by 2

... x = 15 . . . . . . . add x

The price of each loaf will be zero when ...

... 2.50 +0.50x = 0

... 5 + x = 0 . . . . . . . multiply by 2

... x = -5 . . . . . . . . . . subtract 5

Revenue will be positive for any number of increases greater than -5 and less than 15.

_____

D is the best of the offered choices, but it is incorrect in detail. -5 is a number less than 15, but will give zero revenue.

4 0

3 years ago

A software developer wants to know how many new computer games people buy each year. Assume a previous study found the standard

Marrrta [24]

Answer:

The minimum sample size required to ensure that the estimate has an error of at most 0.14 at the 95% level of confidence is n=567.

Step-by-step explanation:

We have to calculate the minimum sample size n needed to have a margin of error below 0.14.

The critical value of z for a 95% confidence interval is z=1.96.

To do that, we use the margin of error formula in function of n:

$MOE=\dfrac{z\cdot \sigma}{\sqrt{n}}\\\\\\n=\left(\dfrac{z\cdot \sigma}{MOE}\right)^2=\left(\dfrac{1.96\cdot 1.7}{0.14}\right)^2=(23.8)^2=566.42\approx 567$

The minimum sample size to have this margin of error is n = 567.

3 0

3 years ago

gabe goes to the mall. if k is the number of items he bought, the expression 17.55k+27 gives the amount he spent in dollars at o

Natali5045456 [20]

Answer:

68.55

Step-by-step explanation:

8 0

3 years ago

Jorge is mixing a special shade of orange paint. He mixed 1 gallon of red paint with 3 gallons of yellow paint. Based on this ra

astra-53 [7]

Answer:

a. b. c. and d. are true; e. is false

Step-by-step explanation:

1 gallon of red paint : 3 gallons of yellow paint

1 gallon of red paint + 3 gallons of yellow paint = 4 gallons of orange paint

a. 3/4 of a 4-gallon mix would be yellow paint.

True. 3 out of 4 gallon mix is yellow and 1 out 4 is red

b. Every 1 gallon of yellow paint requires 1/3 gallon of red paint.

1 gallon of red paint : 3 gallons of yellow paint

divide by 3 in both sides of :

1/3 gallon of red paint : 3/3 gallons of yellow paint

1/3 gallon of red paint: 1 gallon of yellow paint. True

c. Every 1 gallon of red paint requires 3 gallons of yellow paint.

True. 1 gallon of red paint : 3 gallons of yellow paint

d. There is 1 gallon of red paint in a 4-gallon mix of orange paint.

True. 1 out of 4 is red and 3 out of 4 is yellow.

e. There are 2 gallons of yellow paint in an 8-gallon mix of orange paint.

1 gallon of red paint + 3 gallons of yellow paint = 4 gallons of orange paint

Multiply by 2 each side of the equation

2(1 of red paint + 3 of yellow paint) = 2(4 of orange paint)

apply to each member of the parenthesis ()

2 of red paint + 6 of yellow paint = 8 of orange paint

Actually there are 6 gallons of yellow paint in a 8 gallon mix. So e. is false.

6 0

3 years ago

Pls help. I don't understand.

Nana76 [90]

Answer:

112

Step-by-step explanation:

I took the same test

7 0

3 years ago

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