Answers
Answer:
1) Zero based on (-16·t - 2) is t = -1/8 second
2) Zero based on (t - 1) is t = 1 second
Step-by-step explanation:
The given functions representing the height of the beach ball the child throws as a function of time are;
y = (-16·t - 2)·(t - 1) and y = -16·t² + 14·t + 2
We note that (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2
Therefore, the function representing the height of the beachball, 'y', is y = (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2
The zeros of a function are the values of the variables, 'x', of the function that makes the value of the function, f(x), equal to zero
In the function of the question, we have;
y = (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2
The above equation can be written as follows;
y = (-16·t - 2) × (t - 1)
Therefore, 'y' equals zero when either (-16·t - 2) = 0 or (t - 1) = 0
1) The zero based on (-16·t - 2) = 0, is given as follows;
(-16·t - 2) = 0
∴ t = 2/(-16) = -1/8
t = -1/8 second
The zero based on (-16·t - 2) is t = -1/8 second
2) The zero based on (t - 1) = 0, is given as follows;
(t - 1) = 0
∴ t = 1 second
The zero based on (t - 1) is t = 1 second
Related Questions
3x-5=1;9x-3=15;verifica para:x=2
Answers
Answer:
1=1
15=15
Step-by-step explanation:
3x-5=1 x=2
9x-3=15
3(2)-5=1
9(2)-3=15
6-5=1
18-3=15
1=1
15=15
Bruno is a manager at a factory that makes in-line skates. The equation 200x - y + 500 = 0 relates y, the number of pairs of skates the factory has in the warehouse and x, the number of hours after bruno starts his shift. Show that the equation is a linear equation by writing it in a slope-intercept form. Show your work
Answers
Answer:
Slope- intercept form y = 200 x + 500
Step-by-step explanation:
Explanation:-
Given that the equation
200x - y + 500 = 0
where y, the number of pairs of skates the factory has in the warehouse, and x be the number of hours
The slope-intercept form
y = m x +C
Given equation 200x - y + 500 = 0
200 x + 500 =y
y = 200 x + 500
Slope of the equation m = 200 and y-intercept 'C' = 500
Pllssss helppppp thank u
Answers
OMG pls help. 8qt = _ pt
options: 16,8,14,10. pls help
Answers
Answer:
16 pts
Step-by-step explanation:
1qt = 2pts
An aquarium can hold 48 gallons of water. If the aquarium is filled with containers holding 12 quarts of water each, how many containers will it take to fill the aquarium with water?
Answers
Answer: 16 containers
Step-by-step explanation:
First and foremost, we should note that:
4 quarts = 1 gallon
48 gallons = 48 × 4 = 192 quarts
Since the container holds 12 quarts of water each, the number of containers needed to fill the aquarium with water will be:
= 192 quarts / 12 quarts
= 16 containers
26. The two triangles below are similar. What
is the perimeter of triangle XYZ?
Answers
Answer:
24
Step-by-step explanation:
6 ÷ 15 = 0.4
X to Y = 20 × 0.4 = 8
Y to Z = 25 × 0.4 = 10
Perimeter: a + b + c
6 + 8 + 10 = 24
Even I am surprised by what I wrote. Hopefully, it is right and helps you ^-^ Please comment if you have any questions.
-Tay did this
The total commission, in dollars, Jessie earned on selling cars at a dealership in two weeks is given by the expression 800+400x. She earns the same amount of commission per car each week. Which situation could be described by this expression?
Answers
Answer: B. Jessie sold 2 cars in the first week and x number of cars in the second week, earning a commission of $400 on each car.
Step-by-step explanation:
The options include:
A. Jessie earned a total commission of $800 in the first week and x dollars in the second week.
B. Jessie sold 2 cars in the first week and x number of cars in the second week, earning a commission of $400 on each car.
C. Jessie sold 1 car in the first week, earning $800, and x number of cars in the second week, earning a total commission of $1,200.
D. Jessie earned a commission of $800 on each car in the first week and $400 on each car in the second week, selling x number of cars each week.
The situation that could be described by this expression will be option B "Jessie sold 2 cars in the first week and x number of cars in the second week, earning a commission of $400 on each car". This will be:
= (400 × 2) + 400(x)
= 800 + 400x
Given that the random variable X = number of days a student sleeps in during the week, what is the correct notation for the probability that a student will sleep in at least 3 days?
Answers
Answer:
X > 3/7Step-by-step explanation:
X > 3/7
We know that the student sleeps in at least 3 days, but we don't know what the exact number is, we use an inequality where X is greater than or equal to 3 out of the 7 days.
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Learning task 1. Using the given organizer,write the necessary information to complete the concept about seismic waves.
Answers
Answer:
hello the organizer associated with your question is missing attached below is missing organizer
answer :
attached below
Step-by-step explanation:
Seismic waves are a type of energy waves that occur through the layers of the Earth. they are caused by various natural disasters such as ; Earthquakes, landslides e.t.c although they can be caused by man-made explosions as well.
Seismic waves can be grouped into : body and surface waves
attached below is the complete information needed in the organizer
Write a compound interest function to model each situation. Then find the balance after the given number of years.
$50,000 invested at a rate of 3% compounded monthly; 6 years
$43,000 invested at a rate of 5% compounded annually; 3 years
$65,000 invested at a rate of 6% compounded quarterly; 12 years
Answers
Answer:
See explanation
Step-by-step explanation:
The standard compound interest formula is [tex]A = P(1+\frac{r}{n})^{nt}[/tex] where:
P is the principal amount
r is the interest rate (typically as a percentage)
t is the time
n is the times compounded per unit of time
So,
1) [tex]A = 50000(1+\frac{0.03}{12})^{(12)(6)} =59847.42[/tex]
2) [tex]A = 43000(1+\frac{0.05}{1})^{(1)(3)} =49777.88[/tex]
3) [tex]A = 65000(1+\frac{0.06}{4})^{(4)(12)} =132826.08[/tex]
You should check my answers though, I may have mixed up some terms.
(Just the first question) please help!
Answers
Answer:
Altitude: 11 1/4
Step-by-step explanation:
-3 1/4 x 9 = -29 1/4
Leftover from 35: 5 3/4 + 5 1/2 = 11 1/4
Good luckkk!!
Part A: What is the shortest distance between the gymnasium and the library? Round your answer to the nearest tenth of a kilometer.
Part B: Gabe walks the shortest distance from his house to the gymnasium, then the shortest distance to the library. What is the total distance Gabe walked?
Answers
Answer:
4.5 km
10.3 km
Step-by-step explanation:
The shortest distance from gymnasium to library:
Each square box representing 1 unit
1unit = 1 km
A.)
Distance, d ;
Using Pythagoras :
d = sqrt(2² + 4²)
d = sqrt(4 + 16)
d = sqrt(20)
d = 4.47
d = 4.50 (nearest tenth)
Shortest Distance from gymnasium to library
B.)
shortest distance from his house to the gymnasium, then the shortest distance to the library
House to gymnasium (d1) :
d1 = sqrt(3² + 5²)
d1 = sqrt(9 + 25)
d1 = sqrt(34)
d1 = 5.83
Gymnasium to Library (d2) :
d2 = sqrt(2² + 4²)
d2 = sqrt(4 + 16)
d2 = sqrt(20)
d2 = 4.47
Total distance = (d1 + d2) = (5.83 + 4.47) = 10.3km
A line passes through the points (2, 0) and (3, 3). What is its equation in slope-intercept
form?
Answers
Step-by-step explanation:
Write an equation, of the slope intercept form. of the line passing through the points (2,3) and (4.6)
22
Which of the following best describes the equation below?
y= 3x^2 + 5
A.
linear
B.
both linear and nonlinear
C.
neither linear nor nonlinear
D.
nonlinear
Reset Submit
Answers
Please help, question is in picture. I’m so confused.
Answers
Answer:
The answer on the picture
30.1 to 1d.p
(7x^3)(3x^7)
Multiply.
Your answer should be a monomial in standard form.
Answers
What is the area of the following circle with a radius of 4
Answers
Answer:
50.24
Step-by-step explanation:
4*4*3.14=16*3.14=50.24
Answer:
50.265
Step-by-step explanation:
Formula : A=
[tex] \pi 4 { }^{2} [/tex]
HELP Me PLEASE I will give u brainlist
Answers
Answer:
each pendant cost 2 dollars and 20 cents
Answer: 2.2
all u need is a calculator it is quite easy(no offense)
quick mafs
math work pls help :)
Answers
Answer:
c. ASA
Step-by-step explanation:
2x²-3x-5 (Factor completely)
Answers
[tex]\tt{} {2x}^{2} - 3x - 5[/tex]
[tex]\tt{} {2x}^{2} + 2x - 5x - 5[/tex]
[tex]\tt{}2x \times (x +1 ) - 5(x + 1)[/tex]
[tex]\tt{}(x + 1) \times (2x - 5)[/tex]
please help quick i will give brainlist!!!!!!
Answers
Answer:
a) 75/3=25/1
Step-by-step explanation:
List all the integers that satisfy
2< x < 6
Answers
Answer:
3,4,5
Step-by-step explanation:
Integers means whole number
< and > means that the integers can't be the same as the number before.
Hope that helps!!
help a sister out please!
Answers
Answer:
it would be 8 because it is a parallelogram and they are parallel to each other
Step-by-step explanation:
CD=AB
Pleaseee answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answers
Answer:
Find the variables first, you will have to find the segments by measuring between the whole degree which is, 180 degree.
Step-by-step explanation:
Multiply each side and divide the variable and you will find the answer for each side. Then, add all of them.
Which is the most accurate way to estimate 49% of 45?
2/3 x 44
3/4 x44
1/4 x 44
or 1/2 x 44
Answers
Simplify the expression: 4x(x2 + 6x - 1) will mark brainliest pls help<3
Answers
the answer is 4x(8x-1) <33
What is the simplest form of the numerical expression 5+16/4-2^3 ?
Answers
Answer:
5+4-8
Step-by-step explanation:
Find the value of x.
Enter your answer
Answers
Answer:
118 degrees
Step-by-step explanation:
33 + 29 + x = 180
62 + x = 180
x = 118
Answer:
x+29+33=180sum interior angle of triangle
x=180-62=118°
Can somebody plz help answer both these word problems and (write amp equation for each problem and solve) thx :3
WILL MARK BRAINLIEST WHOEVER ANSWERS THESE FIRST!!!:DDD
Answers
Answer:
14. She deposited $15.50 into her bank.
15. The width would be 900.
Step-by-step explanation:
14. 245.60 + x = 261.10
x = 15.50
245.60 + 15.50 = 261.10.
She deposited $15.50 into her bank and resulted in her new bank balance appearing as $261.10.
15. Width is 900 cm
Length is 12 cm.
A = L X W = 108
A = L * 3/4L
108 = 3/4L2
Divide both sides by 3/4: multiply both sides by the inverse of 3/4 or 4/3.
(4/3)*108 = L2
144 = L2
√144 = L
12 = L
W = 3/4*12
W = 9
Before we finish:
A = 108 = 9 x 12 = 108
W/L = 3/4 = 9/12 = 3/4
The width of the rectangle would be 3/4.
A student jogs 28 laps around the track at school. How long will it take for the student to jog 28 laps if he
travels 2 laps in 1.5 minutes? (Hint: This is a 2-part question.)
hellpppp
Answers
Answer:
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