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3 years ago

What is the range of this function?

Mathematics

1 answer:

Rzqust [24]3 years ago

5 0

Greetings.

The range is the set of y-value.

The range starts from the minimum point to maximum point.

Our minimum point starts at 0 and maximum point starts less than infinity.

Therefore the range is 0<=y<+inf

However, we do not often write that, although it is right.

Therefore we write as y≥0

Thus, the answer is B choice.

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Doune Punowing:

nataly862011 [7]

The length of pathway is 10 inches on map.

Step-by-step explanation:

Given,

Total distance = 350 miles

According to map,

1 inch = 35 miles

Let, x be the number of inches on map.

Therefore, using proportion;

Inch : mile :: inch : mile

$1:35::x:350\\$

Product of mean = Product of extreme

$35*x=350*1\\35x=350\\$

Dividing both sides by 35;

$\frac{35x}{35}=\frac{350}{35}\\x=10$

The length of pathway is 10 inches on map.

Keywords: Ratio, proportion

Learn more about proportions at:

#LearnwithBrainly

8 0

3 years ago

A rectangular box is to have a square base and a volume of 12 ft3. If the material for the base costs $0.17/ft2, the material fo

katen-ka-za [31]

Answer:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

Step-by-step explanation:

Let the dimensions of the box be x, y and z

The rectangular box has a square base.

Therefore, Volume of the box $V=x^2z$

Volume of the box $=12 ft^3\\$

$Therefore, x^2z=12\\z=\frac{12}{x^2}$

The material for the base costs $\$0.17/ft^2$ , the material for the sides costs $\$0.10/ft^2$ , and the material for the top costs $\$0.13/ft^2$ .

Area of the base $=x^2$

Cost of the Base $=\$0.17x^2$

Area of the sides $=4xz$

Cost of the sides= $=\$0.10(4xz)$

Area of the Top $=x^2$

Cost of the Base $=\$0.13x^2$

Total Cost, $C(x,z) =0.17x^2+0.13x^2+0.10(4xz)$

Substituting $z=\frac{12}{x^2}$

$C(x) =0.17x^2+0.13x^2+0.10(4x)(\frac{12}{x^2})\\C(x)=0.3x^2+\frac{4.8}{x} \\C(x)=\dfrac{0.3x^3+4.8}{x}$

To minimize C(x), we solve for the derivative and obtain its critical point

$C'(x)=\dfrac{0.6x^3-4.8}{x^2}\\Setting \:C'(x)=0\\0.6x^3-4.8=0\\0.6x^3=4.8\\x^3=4.8\div 0.6\\x^3=8\\x=\sqrt[3]{8}=2$

Recall: $z=\frac{12}{x^2}=\frac{12}{2^2}=3\\$

Therefore, the dimensions that minimizes the cost of the box are:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

7 0

3 years ago

What is the expression in radical form?

RoseWind [281]

Answer:

The answer is;

4^3/10 • x^9/10 •y^3/5

Step-by-step explanation:

We want to express the expression in the bracket in radical form;

(4x^3y^2)^3/10

What we shall do here is to multiply all the powers of the terms in the bracket by 3/10

So we shall have;

4^3/10 • x^(3*3/10) * y^(2*3/10)

= 4^3/10 • x^9/10 • y^3/5

3 0

3 years ago

Cell phone company charges$50 for an 800-minute monthly plan, plus an additional $0.22 per minute for every minute over 800. if

pentagon [3]

The most used minutes in a moth is 1013.

3 0

3 years ago

Haley has five times as many stuffed animals as she does dolls. Her brother has 18 more video games than Haley has stuffed anima

34kurt

Answer:

Step-by-step explanation:

15 x 5 = 75 + 18 = 93

5 0

3 years ago

Read 2 more answers