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daser333 [38]
2 years ago
9

Hannah factored the expression 24xy + 15y. Her work is shown below. 1. GCF (24xy, 15y) = 3y 2. 24xy/3 = 8xy, 15y/3 = 5y 3. 3(24x

y + 15y) What are the errors in Hannah's work? Check all that apply. She divided by 3 instead of the GCF. She found the wrong GCF. She divided wrongly. She didn't complete step 4 and use the distributive property to be sure the expressions are equivalent. She didn't undistribute the GCF from the original expression.
Mathematics
2 answers:
jek_recluse [69]2 years ago
7 0

Answer:

A, D and E is your answer

Good luck!! :) :p

murzikaleks [220]2 years ago
3 0

- She divided by 3 instead of the GCF.

- She didn’t complete step 4 and use the distributive property to be sure the expressions are equivalent.

- She didn’t undistribute the GCF from the original expression.

Explanation:

I just did it lol

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Answer:

t=2.47\ s  

Step-by-step explanation:

The equation that models the height of the ball in feet as a function of time is

h(t) = h_0 + s_0t -16t ^ 2

Where h_0 is the initial height, s_0 is the initial velocity and t is the time in seconds.

We know that the initial height is:

h_0 = 4.5\ ft

The initial speed is:

s_0 = 110sin(20\°)\\\\s_0 = 37.62\ ft/s

So the equation is:

h (t) = 4.5 + 37.62t -16t ^ 2

The ball hits the ground when when h(t) = 0

So

4.5 + 37.62t -16t ^ 2 = 0

We use the quadratic formula to solve the equation for t

For a quadratic equation of the form

at^2 +bt + c

The quadratic formula is:

t=\frac{-b\±\sqrt{b^2 -4ac}}{2a}

In this case

a= -16\\\\b=37.62\\\\c=4.5

Therefore

t=\frac{-37.62\±\sqrt{(37.62)^2 -4(-16)(4.5)}}{2(-16)}

t_1=-0.114\ s\\\\t_2=2.47\ s  

We take the positive solution.

Finally the ball takes 2.47 seconds to touch the ground

4 0
2 years ago
Terrence is folding paper cranes at a constant rate. Write an equation to describe the relationship between c, the number of cra
Vanyuwa [196]

Answer:

It is c = kt.

Step-by-step explanation:

This is direct variation . As the time increases the number of cranes increases.

The equation is c = kt  where k is the constant  of variation.  In this case it will be a positive value because c is increasing with time.

If they make 20 cranes in 10 minutes then we can find the value of k by plugging in these values;

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1 year ago
How do you solve this math problem
zhuklara [117]
The expressions is undefined in the set of the real numbers.
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1 year ago
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The high temperature was 2 degrees Fahrenheit in the town that day.

Step-by-step explanation:

Given,

Low temperature in Leroy's town = -4 degree Fahrenheit

Difference between low and high temperature = 6 degrees Fahrenheit

Equation used to find high temperature h;

h-(-4)=6

Solving the equation

h+4=6\\h=6-4\\h=2

The high temperature was 2 degrees Fahrenheit in the town that day.

Keywords: equation, subtraction

Learn more about subtraction at:

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If h=3 the vertex shifts to (3,0). 

If h=-5 the vertex is shifted to (-5,0)

I hope this helps! Sorry no one got back to you in the past few days ):
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