All categories

2 years ago

What is the domain and range

Mathematics

1 answer:

Kamila [148]2 years ago

6 0

Answer:

The domain of a function is a set of values that we are allowed to plug into our function

Step-by-step explanation:

You might be interested in

Can i please get some help on this?

puteri [66]

Answer:

Step-by-step explanation:

The slope of b is 5.5 whereas the slope for the other three graphs are 5, so B is different from the rest.

A. (4, 0.8), so by rise over run, the slope is 4/0.8=5.

B. (55, 10), so 55/10=5.5.

C. (20, 4), so 20/4=5.

D. (50, 10), so 50/10=5.

Since B is the only graph with a slope of 5.5 and the other graphs have a slope of 5, the answer is B.

3 0

3 years ago

A company is manufacturing an open-top rectangular box. They have 30 cm by 16 cm sheets of material. The bins are made by cuttin

Natalija [7]

Answer:

a. (30 - 2x)(16 - 2x)x. b. length 21.2 cm , width = 7.2 cm and height x = 4.4 cm

Step-by-step explanation:

a. Let x be the side of the squares to be cut from each corner. Since we have two corners on each side, the length of the resulting box from the 30 cm by 16 cm sheet is L = 30 - 2x. Its breadth is B = 16 - 2x. The height of the resulting box is x. So its volume V = LBx = (30 - 2x)(16 - 2x)x.

b. To find the maximum value of V, we differentiate V with respect to x and equate it to zero.

So, dV/dx = 0

d(30 - 2x)(16 - 2x)x/dx = 0

-2(16 - 2x)x + (-2)(30 - 2x)x + (30 - 2x)(16 - 2x) = 0

32x + 4x² - 60x - 4x² + 480 - 60x - 32x + 4x² = 0

4x²- 120x + 450 = 0

x²- 30x + 112.5 = 0

Using the quadratic formula, we find x. So, with a = 1, b = - 15 and c = 112.5,

$x = \frac{-(-30)+/-\sqrt{(-30)^{2} - 4 X 1 X 112.5} }{2 X 1} \\= \frac{30+/-\sqrt{900 - 450} }{2}\\ = \frac{30+/-\sqrt{450} }{2}\\ = \frac{30+/-21.21 }{2}\\\\ = \frac{30+21.21 }{2} or \frac{30-21.21 }{2}\\ = \frac{51.21 }{2} or \frac{8.79}{2}\\ = 25.605 or 4.395$

x ≅ 25.61 or 4.4

V = (30 - 2x)(16 - 2x)x

Substituting the values of x into L and B, we have )x

L = (30 - 2x) = (30 - 2(25.61)) = 30 - 51.22 = -21.22

B = (16 - 2x) = (16 - 2(25.61)) = 16 - 51.22 = -35.22

Since L and B cannot be negative, we use the other value for x = 4.4, So

L = (30 - 2x) = (30 - 2(4.4)) = 30 - 8.8 = 21.2

B = (16 - 2x) = (16 - 2(4.4)) = 16 - 8.8 = 7.2

So V = LBx = 21.2 × 7.2 × 4.4 = 671.62 cm³

3 0

3 years ago

In 4 years, sravani will be 3 times as old as Makayla is currently. three years ago, sravani was 4 times as old as Makayla was t

77julia77 [94]

X - Sravani
y - Makayala

$x+4=3y\\
x-3=4(y-3)\\\\
x=3y-4\\
x=4y-12+3\\\\
x=3y-4\\
x=4y-9\\\\
3y-4=4y-9\\
4y-3y=-4+9\\
y=5\\\\
x=3\cdot5-4\\
x=15-4\\
x=11$

Sravani - 11
Makayla - 5

3 0

3 years ago

Round 62.85 to the nearest tenth

Fiesta28 [93]

Answer:

62.9

Step-by-step explanation:

Follow the rounding rules.

Remember the tenths place is one place after the decimal point.

5 0

3 years ago

Read 2 more answers