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3 years ago

What is the equation on the graph

Mathematics

2 answers:

Alla [95]3 years ago

7 0

Answer:

it d

Step-by-step explanation:

Hoochie [10]3 years ago

5 0

Answer:

Step-by-step explanation:

the answer is b

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The profits in hundreds of dollars, P(c), that a company can make from a product is modeled by a function of the price, c, they

Jobisdone [24]

The maximum profit is the y-coordinate of the vertex of the parabola represented by the equation.

$P(c)=-20c^2+320c+5120 \\ \\
a=-20 \\
b=320 \\ \\
\hbox{the vertex } (h,k): \\
h=\frac{-b}{2a}=\frac{-320}{2 \times (-20)}=\frac{-320}{-40}=8 \\
k=f(h)=f(8)=-20 \times 8^2+320 \times 8+5120= \\
=-1280+2560+5120=6400$

The maximum value is 6400, but the profit is given in hundreds of dollars, so multiply the value by 100.

The maximum profit the company can make is $640,000.

4 0

3 years ago

Read 2 more answers

Joe has four notes in his wallet. The total value of the notes is $75. Which type of note is not in Joe's wallet?

Sergio039 [100]

Answer:

$ 20

Step-by-step explanation:

Given that,

No. of notes Joe has = 4

The total value of the notes = $ 75

From the given notes, 4 notes that can make the sum of 75 would be

$ 50 note + $ 10 + $ 10 note + $ 5

= 50 * 1 + 10 * 1 + 10 * 1 + 5 * 1

= $ 75

Thus, the note that would not be included in the total value would $20 note as if we add it either the sum would be greater or lesser with four notes in combination.

6 0

3 years ago

1.) What is the equation of the path of firework #1? Write your equation in general form.

valina [46]

1. I'm assumig that the paths are perfect parabolas

this means that their general forms can be written in $y=ax^2+bx+c$

it's easier to find vertex form first then expand to get general form

vertex form is $y=a(x-h)^2+k$ where the vertex is (h,k) and a is a constant

firework #1

vertex is (10,50), so (h,k)=(10,50) and h=10, k=50

$h_1=a(t-10)^2+50$

to find the value of $a$ , subsitute another point

(0,0)

$0=a(0-10)^2+50)$

$0=100a+50$

$a=\frac{-1}{2}$

so the equation in vertex form is $h_1=\frac{-1}{2}(t-10)^2+50$

expand to get general form

$h_1=\frac{-1}{2}(t^2-20t+100)+50$

$h_1=\frac{-1}{2}t^2+10t-50+50$

$h_1=\frac{-1}{2}t^2+10t$

same as last time

vertex is (10,72) so (h,k)=(10,72) so h=10 and k=72

equation is $h_2=a(t-10)^2+72$

find $a$

use another point

(0,22)

$22=a(0-10)^2+72$

$22=100a+72$

$-50=100a$

$a=\frac{-1}{2}$

so the equation in vertex form is $h_2=\frac{-1}{2}(t-10)^2+72$

range is the numbers that h is allowed to be

think about what h represents. it represents the height of the rocket

from the graph, we can see that the lowest possible height is 0yd and the highest height is 50yd

so range is 0 to 50 or 0≤h≤50

domain is the numbers that t is allowed to be

think about what t represents. it represents how long the rocket has been flying

it will stop flying when it hits the ground or at t=20

it starts flying at t=0

so domain is from 0 to 20 or 0≤t≤20

3 0

3 years ago

The graph shows the distance, y, in miles, of a moving motorboat from an island for a certain amount of time, x, in hours:

lisabon 2012 [21]

Answer: The speed of the motorboat is 70 miles per hour

Step-by-step explanation: Subtract the initial distance, 35, from the distance at any given time, then divide the remainder by the hours.

For example, at 2 hours, the distance shown on the graph is 175 miles

Subtract: 175 -35 = 140. Then divide 140/2 = 70

At 4 hours, the distance shown is 315 miles.

Subtract: 315 - 35 = 280. Then divide 280/4 = 70

70 mph is the speed.

7 0

3 years ago

Pls help! will give brainlist!

igomit [66]

The answer is: A

A decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144°

8 0

3 years ago

Read 2 more answers