Answer:
26.4 m
Step-by-step explanation:
The path the ball follows is given by the function
[tex]y=-\dfrac{1}{4}x^2+\dfrac{33}{5}x[/tex]
Before it hits the ground means y will be zero.
[tex]0=-\dfrac{1}{4}x^2+\dfrac{33}{5}x\\\Rightarrow x(-\dfrac{1}{4}x+\dfrac{33}{5})=0\\\Rightarrow x=0, -\dfrac{1}{4}x+\dfrac{33}{5}=0\\\Rightarrow x=0, x=\dfrac{33}{5}\times4\\\Rightarrow x=0, 26.4[/tex]
There are two points where the vertical displacement is zero the point at which Nate tosses the ball and the point where it lands.
So, the ball travels 26.4 m horizontally before it hits the ground.
Solving the quadratic equation, it is found that the ball travels 26.4 feet horizontally before it hits the ground.
The height of the ball, after an horizontal distance of x feet, is given by:
[tex]y(x) = -\frac{1}{4}x^2 + \frac{33}{5}x[/tex]
Converting the fractions to decimal:
[tex]y(x) = -0.25x^2 + 6.6x[/tex]
It hits the ground when:
[tex]y(x) = 0[/tex]
Then:
[tex]-0.25x^2 + 6.6x = 0[/tex]
[tex]0.25x^2 - 6.6x = 0[/tex]
[tex]x(0.25x - 6.6) = 0[/tex]
[tex]x = 0[/tex], or:
[tex]0.25x - 6.6 = 0[/tex]
[tex]0.25x = 6.6[/tex]
[tex]x = \frac{6.6}{0.25}[/tex]
[tex]x = 26.4[/tex]
The ball travels 26.4 feet horizontally before it hits the ground.
A similar problem is given at https://brainly.com/question/10489198
Kim sold a house for $230,000 and made a 3% commission. How much money did Kim make in commission for selling the house?
Answer: kim made $6,900 in commission for selling the house
Step-by-step explanation:i took the test
Find the slope of:
(-4,5) and (-4, 2)
The slope is undefined.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction
Given points (-4 ,5) and (-4 ,2).
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
m = (2-5) / (-4+ 4)
here, (x₂ - x₁) =0
That means the slope is undefined.
Therefore, the slope is undefined.
To learn more about the slope;
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Solve for x: 5(x + 3) = 4(x - 3)
-18
-27
-3
-6
please help me im actually having a mental breakdown over this stuff
Answer:
x=27
Step-by-step explanation:
It's gonna be okay! Just breathe!
You got this I believe in you!!
A hierarchy of quadrilaterals is shown. Name the figures that complete the hierarchy. Number the figures in your response to indicate where in the diagram they belong.
name 2 negative integer
Answer:
A number that is less than zero
Step-by-step explanation:
-13, -56
The area of a rectangle is 6 + 3x square feet. Which of the following expressions could represent the lengths
of the sides of the rectangle?
A. 6 and 3x
B. 3 and 2 + x
C. 6 and 6 + x
D. 3 and 2 + 3x
Answer:
B
Step-by-step explanation:
3(2+x)
distribute
=6+3x
The equation - 2 (x + 1) = (y – 5)^2 is represented by which graph?
Answer:
B
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
edge
Write and equation in slope-intercept form of the line that passes through the points
(-5,-12) and (1,6)
The equation is y=
Step 1: We need to use slope formula* to determine what m (or the slope) is.
[tex]m = \frac{6 - (-12)}{1 - (-5)}\\\\m = \frac{18}{6} = 3[/tex]
Step 2: Now we use this slope, ONE of the given points, and slope-intercept form** to determine b.
[tex]6 = 3(1) + b\\\\6 = 3 + b\\\\3 = b[/tex]
Step 3: The final answer can now be found by using the slope and y-intercept (or b) that we just found.
[tex]y = 3x + 3[/tex]
For Reference:
*Slope formula
[tex]m = \frac{y_{2} - y_1}{x_2 - x_1}[/tex]
*Slope-intercept Formula
[tex]y = mx + b[/tex]
Please help me and make sure to round the answers to the nearest hundred. I’ll give you brainiest!
Thanks!!!!:)))))
Answer:
24.4
Step-by-step explanation:
Now please give me Brainiest.
Find the slope of the line passing through the points (-8,-8) and (6,-8)
Answer:
Slope = 0
So, the line is parallel to x-axis
Step-by-step explanation:
(x₁ , y₁) = (-8, -8) & (x₂ ,y₂) = (6 , -8)
[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\=\frac{-8-[-8]}{6-[-8]}\\\\=\frac{-8+8}{6+8}\\\\= 0[/tex]
Help me I don’t not understand
Holly and Ethan decide to sell some of their books at a flea market. The booth rental costs $15, and they will sell each book for $1.50. How many books will Holly and Ethan need to sell to make a profit of exactly $30?
Answer:The answer would be 20 books divide 15 \ 1.50 equals 10 then multiply 10 by 2
Step-by-step explanation:
The number of books sold by Holly and Ethan to get a profit of $30 will be 20.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Holly and Ethan decide to sell some of their books at a flea market. The booth rental costs $15, and they will sell each book for $1.50.
The number of books will be calculated as,
1.5x = 30
x = 30 / 1.5
x = 20
Therefore, the number of books sold by Holly and Ethan to get a profit of $30 will be 20.
To know more about an expression follow
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75c- 300 - 35 c =25c + 15c + 200
Answer:
False
Step-by-step explanation:
40c - 300 = 40c + 200
-300 = 200
false
PLEASE HELP FAST!!!!Match each description to the expression that can be used to represent it.
Answer:
The first box on the left goes to the middle box on the right! THe second box on the left goes to the first box on the right! And the last box on the left goes to the third box on the right!
Hope this helps and u understand it
ASAP HELP BRAINLIEST 100 POINTS PLZ PLZ PLZ HELP
Michelle is having a poster printed from a picture that is 4 inches wide by 6 inches tall. The enlarged poster is 20 inches wide and 30 inches tall. Which proportion can be used to represent the picture sizes?
StartFraction 6 over 4 EndFraction = StartFraction 20 over 30 EndFraction
StartFraction 4 over 6 EndFraction = StartFraction 20 over 30 EndFraction
StartFraction 4 over 6 EndFraction = StartFraction 30 over 20 EndFraction
StartFraction 4 over 30 EndFraction = StartFraction 6 over 20 EndFraction
Answer:
20 inches wide and 30 inches tall
Step-by-step explanation:
if the height went from 6 to 30 that means it grew by 5 so the poster would be
20 inches wide and 30 inches tall
Answer:
Start Fraction 4/6
End Fraction 20/30
Luis rides his bicycle 3/4 mile in 15 minutes, or 1/4 hour, along the bike trail. Assuming he rides at a constant rate, what is his speed, in miles per hour?
Answer: 3
This is because 15 times 4 equals 60 and that is equal to 1 hour, well when your multiplying fractions what you do to the bottom you have to do to the top so multiply 3 times 4 thats 12 and now you have 12/4 and that is equal to 3.
Julio is running in a 13.1-mile race. There are water stops every 2.75 miles along the route from the beginning of the race.
What is the distance between the last water stop and the end of the race? Enter your answer in the box.
Answer:
The distance between the last water shop and the end of the race is 2.1 miles
Step-by-step explanation:
Keep on adding 2.75 until you get the number 11 or you can just multiply 2.75 by 4 and get 11. Subtract 11 from 13.1 and you will get 2.1 miles.
I hope this helps
What is the equation of this line?
Answer:
y= -5/4x + 6
Step-by-step explanation:
y= mx + b
m= -5/4 (rise over run/slope)
b= 6 (y-intercept)
-I hope this helps have a great day!
Answer:
y = -5/4(x)+6
Step-by-step explanation:
to find the equation of this line, we must first find the slope
We can write the equation of this line y = mx + b where m is the slope and b is the y-intercept
m = (y2-y1)/(x2-x1)
m = (-4-6)/(8-0)
m = -10/8
m = -5/4
b is the y intercept which is at 6
So the equation of the line is y = -5/4(x)+6
If the average grade of an English class rose from 70 to 80 what is the approximate percent increase
Answer:
10
Step-by-step explanation:
I’ll give brainliest!! Just zoom in to see better!!:)
Answer:
Well done
Step-by-step explanation:
Zoomed in
Find the slope of the line
Y=1/4x + 2
Answer: 14
Step-by-step explanation:
Please help meee I really need help I’ve been struggling badly..
Answer:
make it so that its flat or turn it left
Step-by-step explanation:
PLS HELP ASAP NO ONE HELPS ME PLSSSSSSSSS.
What is the equation for the line in slope-intercept form?
Enter your answer in the box.
Answer:
y = -2x - 4
Step-by-step explanation:
-2 is our slope
-4 is our y intercept (the point which the line crosses the y axis)
(WILL GIVE BRAINLIEST) Solve for x.
-2(-9x+5)-4x=2(x-5)-4
Simplify your answer as much as possible
Answer:
−2(−9x+5)−4x=2(x−5)−4
Step 1: Simplify both sides of the equation.
−2(−9x+5)−4x=2(x−5)−4
(−2)(−9x)+(−2)(5)+−4x=(2)(x)+(2)(−5)+−4(Distribute)
18x+−10+−4x=2x+−10+−4
(18x+−4x)+(−10)=(2x)+(−10+−4)(Combine Like Terms)
14x+−10=2x+−14
14x−10=2x−14
Step 2: Subtract 2x from both sides.
14x−10−2x=2x−14−2x
12x−10=−14
Step 3: Add 10 to both sides.
12x−10+10=−14+10
12x=−4
Step 4: Divide both sides by 12.
12x
12
=
−4
12
x= -1/3
Step-by-step explanation:
Good luck! Hope this helps! <3
Answer :
[tex]x = - \frac{1}{3} [/tex]
or you can just write x = -0.3
hope this helps!
SOMEONE PLZ HELP JSJSJSNSJNSNSNSNSNNS I HAVE 30 MINS LEFT PLZ
Answer:
the answer is d. x >=4
please help. i will give brainliest to the right answer
Answer:
use math-way it will really helps
Answer:
I believe its 15 because when substituting the number 15 means that when working the question out, both sides equal to the same number if x is equal to 1 for example
please someone help me solve this
Answer:
[tex]\frac{4}{3}[/tex]
Step-by-step explanation:
A(1 , 3) & B (4 , 7)
[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{7-3}{4-1}\\\\= \frac{4}{3}[/tex]
please help its due today!
Answer:
B. 12.40
Step-by-step explanation:
Add all the hours
Total profit divided by the amount of hours
What is the value of the expression
-1s/20r if r= -1/4 and s= 4/5?
Simplify your answer.
Answer:
[tex]\frac{4}{25}[/tex]
Step-by-step explanation:
Given expression:
[tex]-\frac{1s }{20r}[/tex]
r = [tex]-\frac{1}{4}[/tex] , s = [tex]\frac{4}{5}[/tex]
Now;
[tex]-\frac{1s }{20r}[/tex] = [tex]-\frac{s}{20r}[/tex]
Insert the parameters:
= [tex]-\frac{\frac{4}{5} }{20 x (-\frac{1}{4} )}[/tex]
= - [tex]\frac{\frac{4}{5} }{-5}[/tex]
-x - = +
= [tex]\frac{4}{5}[/tex] x [tex]\frac{1}{5}[/tex]
= [tex]\frac{4}{25}[/tex]
387/4300 as a percent
Answer:
9%
Step-by-step explanation:
Convert the fraction to a decimal, then multiply by
100. Hope this helps!