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3 years ago

12

Graph: y = 4x + 7.

2 answers:

Stels [109]3 years ago

7 0

Answer:

See Graph Below

Domain: All Real Numbers

Range: All Real Numbers

Step-by-step explanation:

For the graph, simply make your first point at 7 (the y-intercept) and then move 4 y's up for every x.

For the Domain: The answer would be all real numbers because you can plug any real number into x and the equation would be solvable.

For the Range: The answer would be all real numbers because there is no y that is impossible to reach via x.

Oksana_A [137]3 years ago

6 0

Answer:

the points are (0,7) and (-1.75, 0)

Step-by-step explanation:

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A right regular pentagonal prism has a base edge length 14 cm, and height 12 cm. Identify the volume of the prism to the nearest

maks197457 [2]

Answer:

4046.56 cm3

Step-by-step explanation:

The base is made by 5 isosceles triangles, with one side of 14 cm, and the opposite angle of $\frac{360} 5 = 72°$ . Each of the other angle is $\frac{180-72} {2} =54°$ . From there, you can calculate the height of each base triangle as in $\frac {h} 7 = tan54$ or 9.634...cm.

Your volume will be $5 * \frac {(14 * 9.634)} 2 * 12 = 4046.56 cm^3$

7 0

3 years ago

A) What is the slope and the y-intercept of the equation?

Zielflug [23.3K]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = $\frac{0-3}{4-0}$ = $\frac{-3}{4}$ = - $\frac{3}{4}$

The y- intercept is where the line crosses the y- axis

The line crosses the y- axis at (0, 3 ) ⇒ b = 3

(b)

y = - $\frac{3}{4}$ x + 3 ← equation of line

8 0

3 years ago

The following graph shows the consumer price index (CPI) for a fictional country from 1990 to 2000. During which of these time p

netineya [11]

the first graph is the answer

6 0

3 years ago

Read 2 more answers

a vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends on the number of cars made.

timofeeve [1]

Answer:

8,567

Step-by-step explanation:

Given the cost function expressed as C(x)=0.7x^2- 462 x + 84,797

To get the minimum vaklue of the function, we need to get the value of x first.

At minimum value, x = -b/2a

From the equation, a = 0.7 and b = -462

x = -(-462)/2(0.7)

x = 462/1.4

x = 330

To get the minimum cost function, we will substitute x = 330 into the function C(x)

C(x)=0.7x^2- 462 x + 84,797

C(330)=0.7(330)^2- 462 (330)+ 84,797

C(330)= 76230- 152460+ 84,797

C(330) = 8,567

Hence the minimum unit cost is 8,567

7 0

3 years ago

What is the value of x? Enter your answer in the box. mm Triangle V T K with segment T Y such that Y is on segment V K, between

lapo4ka [179]

Answer:

VK = x = 98 mm

Step-by-step explanation:

TY is the bisector of angle T, so it divides segments of the triangle proportionally. That is, ...

VY/VT = KY/KT

VY = VT·KY/KT = (57 mm)·68/192.2 = 30 mm

Then

VK = VY + YK = 30 mm + 68 mm

VK = 98 mm

5 0

3 years ago

Read 2 more answers