All categories

1 year ago

Write an absolute value equation or inequality to describe each graph

Mathematics

1 answer:

Rina8888 [55]1 year ago

6 0

Step-by-step explanation:

$|x| \geqslant 1.5$

Or basically,

$x \geqslant 1.5$

$x \leqslant - 1.5$

You might be interested in

Margot gave 10% of x number of dollars that she earned over the summer to an animal rescue shelter. 10% of x is about $60.00. Ch

AysviL [449]

A, C, and E seem all right. In letter form: 1st 3rd and 5th

3 0

3 years ago

4 3⁄4 feet = how many inches

Gennadij [26K]

The answer is 57 inches

6 0

3 years ago

Read 2 more answers

Can it be solve pq(r²+1)-r(p²+q²)

ivann1987 [24]

Answer:

pqr²+pr-rp²+rq²

Step-by-step explanation:

pq(r²+1)-r(p²+q²)

pqr²+pr-rp²+rq²

3 0

1 year ago

A cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. The material for the sides of the can costs

LenKa [72]

Answer:

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

Step-by-step explanation:

Volume of the Cylinder=400 cm³

Volume of a Cylinder=πr²h

Therefore: πr²h=400

$h=\frac{400}{\pi r^2}$

Total Surface Area of a Cylinder=2πr²+2πrh

Cost of the materials for the Top and Bottom=0.06 cents per square centimeter

Cost of the materials for the sides=0.03 cents per square centimeter

Cost of the Cylinder=0.06(2πr²)+0.03(2πrh)

C=0.12πr²+0.06πrh

Recall: $h=\frac{400}{\pi r^2}$

Therefore:

$C(r)=0.12\pi r^2+0.06 \pi r(\frac{400}{\pi r^2})$

$C(r)=0.12\pi r^2+\frac{24}{r}$

$C(r)=\frac{0.12\pi r^3+24}{r}$

The minimum cost occurs when the derivative of the Cost =0.

$C^{'}(r)=\frac{6\pi r^3-600}{25r^2}$

$6\pi r^3-600=0$

$6\pi r^3=600$

$\pi r^3=100$

$r^3=\frac{100}{\pi}$

$r^3=31.83$

r=3.17 cm

Recall that:

$h=\frac{400}{\pi r^2}$

$h=\frac{400}{\pi *3.17^2}$

h=12.67cm

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

3 0

3 years ago

A video store charges $8 to rent a video game. You must be a member to rent from the store, but

mote1985 [20]

Answer:

10 is the amount of video game you need to rent to equal each other

Step-by-step explanation:

Video store A is 8x

Video store B is 3x+50

8x = 3x +50

5x = 50

x= 10

6 0

2 years ago