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3 years ago

HELP ASAP ILL GIVE BRAINLIEST

Mathematics

2 answers:

Elena-2011 [213]3 years ago

6 0

Answer:20.1 ft

Step-by-step explanation: in image below

siniylev [52]3 years ago

4 0

Answer: i would say 20 because it doesnt look that short compared to 22.

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Shelly paid $64 for a skirt that was on sale at a 20% discount. What was the original selling price of the skirt? explain please

icang [17]

100%-20%=80%
80/100=0.8
64/0.8=80
$80

Hope this helps :)

6 0

3 years ago

What value of x is in the solution set of 2(3x – 1) = 4x - 6?

Andrei [34K]

Answer:

x=-2

Step-by-step explanation:

2(3x – 1) = 4x - 6

Distribute

6x-2=4x-6

Moving like terms (4x)

2x-2=-6

Moving like terms (-2)

2x=-4

Divide both sides by 2 to isolate x

x=-2

Hope this helps! Please mark brainliest :)

5 0

3 years ago

Read 2 more answers

After 14 years, I shall be three times as old as I was 4 years ago. What is my present age?

Dvinal [7]

Answer:

Present age = 13 years

Step-by-step explanation:

Let the present age be x years.

14 years after age = (x + 14) years

4 years ago age = (x - 4)

According to the given information:

14 years after age = 3 times 4 years ago age

x + 14 = 3(x - 4)

x + 14 = 3x - 12

14 + 12 = 3x - x

26 = 2x

x = 26/2

x = 13 years

Thus, the present age is 13 years

7 0

3 years ago

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

$0.028x=0.68$

$x=24.3$

<em>Alternative method</em>

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

Which graph represents a constant speed of K kilometers per hour?

Arturiano [62]

The left one, yea deff the left one

4 0

4 years ago