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3 years ago

I need help im failing

Mathematics

1 answer:

aleksley [76]3 years ago

3 0

Answer:

D because 0.75 in fraction form is 3/4 and 3/4 is greater then 2/3 which is the graphs rate of change.

Step-by-step explanation:

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The students in Mr. Wilson's Physics class are making golf ball catapults. The

Mnenie [13.5K]

Answer:

Part a) About 48.6 feet

Part b) About 8.3 feet

Part c) The domain is $0 \leq x \leq 48.6\ ft$ and the range is $0 \leq y \leq 8.3\ ft$

Step-by-step explanation:

we have

$y=-0.014x^{2} +0.68x$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

where

x is the ball's distance from the catapult in feet

y is the flight of the balls in feet

Part a) How far did the ball fly?

Find the x-intercepts or the roots of the quadratic equation

Remember that

The x-intercept is the value of x when the value of y is equal to zero

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-0.014x^{2} +0.68x=0$

$a=-0.014\\b=0.68\\c=0$

substitute in the formula

$x=\frac{-0.68(+/-)\sqrt{0.68^{2}-4(-0.014)(0)}} {2(-0.014)}$

$x=\frac{-0.68(+/-)0.68} {(-0.028)}$

$x=\frac{-0.68(+)0.68} {(-0.028)}=0$

$x=\frac{-0.68(-)0.68} {(-0.028)}=48.6\ ft$

therefore

The ball flew about 48.6 feet

Part b) How high above the ground did the ball fly?

Find the maximum (vertex)

$y=-0.014x^{2} +0.68x$

Find out the derivative and equate to zero

$0=-0.028x +0.68$

Solve for x

$0.028x=0.68$

$x=24.3$

Alternative method

To determine the x-coordinate of the vertex, find out the midpoint between the x-intercepts

$x=(0+48.6)/2=24.3\ ft$

To determine the y-coordinate of the vertex substitute the value of x in the quadratic equation and solve for y

$y=-0.014(24.3)^{2} +0.68(24.3)$

$y=8.3\ ft$

the vertex is the point (24.3,8.3)

therefore

The ball flew above the ground about 8.3 feet

Part c) What is a reasonable domain and range for this function?

we know that

A reasonable domain is the distance between the two x-intercepts

$0 \leq x \leq 48.6\ ft$

All real numbers greater than or equal to 0 feet and less than or equal to 48.6 feet

A reasonable range is all real numbers greater than or equal to zero and less than or equal to the y-coordinate of the vertex

we have the interval -----> [0,8.3]

$0 \leq y \leq 8.3\ ft$

All real numbers greater than or equal to 0 feet and less than or equal to 8.3 feet

8 0

3 years ago

HELP PLS Comparing irrational numbers with calculator Compare.

julia-pushkina [17]

Answer:

3 2/3 is greater

Step-by-step explanation:

3 2/3 is 3.6666 while √11 is 3.32

6 0

3 years ago

Parallel lines cut by transversal. How to find angle measure.

allochka39001 [22]

#1 30
#2 150
#3 110
#4 60

#5 2x+50+3x=180
combine like terms

5x+50=180
subtract 50 from both sides

5x=130
divide both sides by 5 to isolate the variable

x=26

#5 3x=3(26)=78
#6 2x+50=2(26)+50=102

#7 AGE and CHG, AGH and CHF, EGB and GHD, HGB and FHD

#8 AGE and FHD, CHF and EGB

7 0

3 years ago

There are a total of 63 bikes at a sports shop. If 18 bikes are blue, what is the ratio of blue bikes to black bikes?

prohojiy [21]

Answer:

45 to 18 it's easy

Step-by-step explanation:

subtract 18 from 63 and there is your ratio

3 0

3 years ago

After m

Whitepunk [10]

length of finger nail in m month =10+3m
length of finger nail in 8 months =10+3*8
=10+24 =34mm
I think thats the answer but im pretty sure thats the answer

4 0

3 years ago

Read 2 more answers