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Angelina_Jolie [31]
3 years ago
11

The x values are the

Mathematics
1 answer:
dem82 [27]3 years ago
4 0
The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa"
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Find the oth term of the geometric sequence 9, -27, 81, ...
Novosadov [1.4K]
It would b 9 x (-3^(x-1))
6 0
3 years ago
A rectangular box with a square base is to be constructed from material that costs $9 per ft2 for the bottom, $5 per ft2 for the
kramer

Answer:

18.73ft^3

Step-by-step explanation:

Let

Side of square base=x

Height of rectangular box=y

Area of square base=Area of top=(side)^2=x^2

Area of one side face=l\times b=xy

Cost of bottom=$9 per square ft

Cost of top=$5 square ft

Cost of sides=$4 per square ft

Total cost=$204

Volume of rectangular box=V=lbh=x^2y

Total cost=9(x^2)+5x^2+4(4xy)=14x^2+16xy

204=14x^2+16xy

204-14x^2=16xy

y=\frac{204-14x^2}{16x}=\frac{102-7x^2}{8x}

Substitute the values of y

V(x)=x^2\times \frac{102-7x^2}{8x}=\frac{1}{8}(102x-7x^3)

Differentiate w.r.t x

V'(x)=\frac{1}{8}(102-21x^2)=0

V'(x)=0

\frac{1}{8}(102-21x^2)=0

102-21x^2=0

102=21x^2

x^2=\frac{102}{21}=4.85

x=\sqrt{4.85}=2.2

It takes positive because side length cannot be negative.

Again differentiate w.r. t x

V''(x)=\frac{1}{8}(-42x)

Substitute the value

V''(2.2)=-\frac{42}{8}(2.2)=-11.55

Hence, the volume of box is maximum at x=2.2 ft

Substitute the value  of x

y=\frac{102-7(2.2)^2}{8(2.2)}=3.87 ft

Greatest volume of box=x^2y=(2.2)^2\times 3.87=18.73 ft^3

5 0
4 years ago
Select the correct answer.
Tanya [424]

Answer:

The function f has an inverse because it is one-to-one.

Step-by-step explanation:

The condition for a function to have an inverse is that every x coordinate maps to a single y - coordinate. As illustrated by the diagram attached in the second picture, every x value maps to one y value therefore satisfying the condition making the function have an inverse.

8 0
2 years ago
A city has a population of 250,000 people. Suppose that each year the population grows by 7.5%. What will the population be afte
Diano4ka-milaya [45]
So, if it grows by 6.75%, each year the population is 106.75% of the year before.

After 1 year, 370,000(1.0675). After two years, 370,000(1.0675)(1.0675).

370,000(1.0675)12 = your answer
4 0
3 years ago
Which two points lie on a line with an undefined slope?
Ierofanga [76]
Slope formula is
m = (y2 - y1)/(x2 - x1)

A. m = (5 - 0)/(-2 + 2)
m = (5)/(0)
m = error

B. m = (-2 - 0)/(0 + 2)
m = (-2)/(2)
m = -1

C. m = (2 - 0)/(2 - 0)
m = (2)/(2)
m = 1

D. m = (0 - 0)/(2 - 3)
m = (0)/(-1)
m = 0

the undefined slope would be the one that came out as error, so A
6 0
3 years ago
Read 2 more answers
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