Answer:
The maximum height of the rocket is 256 feet
Step-by-step explanation:
The vertex form of the quadratic function f(x) = ax² + bx + c is
f(x) = a(x - h)² + k, where
(h, k) is the vertex pointh = [tex]\frac{-b}{2a}[/tex] and k = f(h)(h, k) is a minimum point if a > 0 and a maximum point if a < 0Let us use these rules to solve the question
∵ h(t) = -16t² + 128t
→ Compare it by the form of the quadratic function above
∴ a = -16 and b = 128
∵ a < 0
∴ The vertex (h, k) is a maximum point
∴ The maximum height of the rocket is the value of k
→ Use the rule of h above to find it
∵ h = [tex]\frac{-128}{2(-16)}[/tex] = [tex]\frac{-128}{-32}[/tex]
∴ h = 4
→ Substitute x in the equation by the value of h to find k
∵ k = h(h)
∴ k = -16(4)² + 128(4)
∴ k = -256 + 512
∴ K = 256
∴ The maximum height of the rocket is 256 feet
what is 2+2-3+7-9+23-6+78-34+89
what does that equal
2+2-37-9+23-6+78-34+89 = 149
Answer:
149
Step-by-step explanation:
2+2-3+7-9+23-6+78-34+89
2+2+7+23+78+89=201
3-9-6-34=52
201-52
149
how many more gallons of blood does the human heart pump than a human kidney filters during 24 hours
Answer:
im sorry im too dumb for this and im in middle school
Step-by-step explanation:
i very sowy :(
Reflections do not represent isometries.
O True
O False
Answer:
False
Step-by-step explanation:
I took the test
The average speed of a car that travels 130 miles in 2 hours.
Answer:
65mph
Step-by-step explanation:
Answer:
speed = distance/time
speed = 130/2
speed = 65 mph
Step-by-step explanation:
Write true or false for each,
The Aztecs lived before the Mayans.
2) The Aztecs lived on rafts in the sea.
3) During the Aztec Empire, the Aztec people were always on the move to find food.
4) The Aztecs were ruled by a powerful emperor.
5) The sun was an important aspect of the Aztec religion.
6) Some Aztec people helped the Spanish colonizers to defeat the Aztec Empire.
Lindsey's cookie recipe uses 1 1/2 cups of brown sugar to make 2 dozen cookies. Lexi wants to make only 1 dozen cookies. How much brown sugar should Lexi use?
Answer:
(3/4) cups
Step-by-step explanation:
It is given that,
Lindsey's cookie recipe uses 1 1/2 cups of brown sugar to make 2 dozen cookies.
We need to find how much brown sugar should Lexi use to make only 1 dozen cookies.
2 dozen cookies = 1 1/2 cups
= 3/2 cups
For 1 dozen cookies,
[tex]\dfrac{\dfrac{3}{2}}{2}\\\\=\dfrac{3}{4}\ \text{cups}[/tex]
So, to make 1 dozen cookies, she will need (3/4) cups of brown sugar
The length of a rectangle is one inch less than five times its width. If the perimeter of the rectangle is 46 inches, find its dimensions. Write your answer as two numbers separated by a comma
Answer:
19,4 or 4,19
Step-by-step explanation:
Let the width of the rectangle be 'w' in
According to the question length of the rectangle (l) is one inch less than five times it's width;
[tex] \longrightarrow [/tex] l = (5w - 1) in
Perimeter of rectangle = 46 inches
Formula of perimeter of rectangle = 2(Length + Width)
So,
[tex]\rm \implies 2(Length + Width) = 46 \\ \\ \rm \implies 2(5w - 1 + w) = 46 \\ \\ \rm \implies 2(6w - 1) = 46 \\ \\ \rm \implies 6w - 1 = \dfrac{46}{2} \rm \implies 6w - 1 = 23 \\ \\ \rm \implies 6w = 23 + 1 \\ \\ \rm \implies 6w = 24 \\ \\ \rm \implies w = \dfrac{24}{6} \\ \\ \rm \implies w = 4 \: in[/tex]
[tex] \therefore [/tex] Width of the rectangle (w) = 4 in
Length of rectangle (l) = 5 × 4 - 1 = 19 in
(06) A paper is in the form of a
square of side 20m. Semicircles are
drawn inside the square paper
on two sides as diameter. The
semicircle portions are cut off.
Find the area of remaining
paper. (use π = 3.14).
Answer:
86 sq.m
Step-by-step explanation:
Given: m ∥ n, x ∥ y, and y ⊥ m. Use the diagram to find the angle measure.
Answer:
180
Step-by-step explanation:
m<2 + m<3 = 90
m<5 + m<6 = 90
m<2 + m<3 + m<5 + m<6 = 90 + 90 = 180
Answer: 180
*10 points* ANSWER ASAP WILL MARK AS BRAINLIEST!!
Do you have to regroup to find each sum?
Choose Yes or No.
38 + 12
29 + 15
28 + 7
27 + 12
Answer:
1) yes
2)yes
3) yes
4) no
Step-by-step explanation:
What is the equation of the line that has a slope of -6/5 and goes through the point (5, -4)?
Answer:
Step-by-step explanation:
Given
slope =6/5
point =(5, -4)
So
the equation of the line =
(y-y1)=m(x-x1)
Where X1=5,y1=-4,m=6/5
Put the values
(Y+4)=6/5(x-5)
5(Y+4)=6(x-5)
5y+20=6x-30
5y-6x=-30-20
-6x+5y=-50
6x-5y=50.
So the equation of the line is 6x-5y=50.
Daisy purchases a gym membership. She pays a signup fee and a monthly fee of $13. After 4 months, she
has paid a total of $79. Use a linear equation in point-slope form to find the signup fee. Solve the problem
using an equation in point-slope form.
The signup fee is__
PLS HELP
Answer:
$6.75
Step-by-step explanation:
First, we need to figure out how much she pays in a month: 79 divided by 4 = 19.75
But, this includes the sign up fee because the problem states, " After 4 months, she has paid a total of $79. "
Now, we need to subtract the first fee (13) " She pays a signup fee and a monthly fee of $13. "
19.75 - 13.00 = 6.75
Hope this helped have a great day/night! :'')
4y - 9 - 6y = 2(y + 5) - 3 solve for y
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{y = - 4}}}}[/tex]
Step-by-step explanation:
[tex] \sf{4y - 9 - 6y = 2(y + 5) - 3}[/tex]
Subtract like terms : 6y from 4y
[tex] \longrightarrow{ \sf{ - 2y - 9 = 2(y + 5) - 3}}[/tex]
Distribute 2 through the parentheses
[tex] \longrightarrow{ \sf{ - 2y - 9 = 2 *y + 2 *5 \: - 3}}[/tex]
[tex] \longrightarrow{ \sf{ - 2y - 9 = 2y + 10 - 3}}[/tex]
Subtract 3 from 10
[tex] \longrightarrow{ \sf{ - 2y - 9 = 2y + 7}}[/tex]
Move 2y to left hand side and change it's sign
[tex] \longrightarrow{ \sf{ - 2y - 2y - 9 = 7}}[/tex]
Move 9 to right hand side and change it's sign
[tex] \longrightarrow{ \sf{ - 2y - 2y = 7 + 9}}[/tex]
Combine like terms
[tex] \longrightarrow{ \sf{ - 4y =7 + 9}}[/tex]
Add the numbers : 7 and 9
[tex] \longrightarrow{ \sf{ - 4y = 16}}[/tex]
Divide both sides by -4
[tex] \longrightarrow{ \sf{ \frac{ - 4y}{ - 4} = \frac{16}{ - 4}}} [/tex]
Remember : Dividing a positive integer by any negative integer gives a negative integer.
[tex] \longrightarrow{ \boxed{ \sf{y = - 4}}}[/tex]
------------------------------------------------------------
Let's check whether the value of y is -4 or not.
VerificationL.H.S : [tex] \sf{4y - 9 - 6y}[/tex]
plug the value of y and simplify
[tex] \dashrightarrow{ \sf{4 * (- 4 )- 9 - 6 * (- 4)}}[/tex]
[tex] \dashrightarrow{ \sf{ - 16 - 9 - ( - 24)}}[/tex]
[tex] \dashrightarrow{ \sf{ - 16 - 9 + 24}}[/tex]
[tex] \dashrightarrow{ \sf{ - 16 + 15}}[/tex]
[tex] \dashrightarrow{ \sf{ - 1}}[/tex]
R.H.S :[tex] \sf{2(y + 5) - 3}[/tex]
plug the value of y and simplify
[tex] \dashrightarrow{ \sf{2( - 4 + 5) - 3}}[/tex]
[tex] \dashrightarrow{ \sf{2 *1 - 3}}[/tex]
[tex] \dashrightarrow{ \sf{2 - 3 }}[/tex]
[tex] \dashrightarrow{ \sf{ - 1}}[/tex]
∴ L.H.S = R.H.S
The value of y is -4
And we're done!
------------------------------------------------------------
Rules for solving an equationIf any equation contains fractions , multiply each term by the LCM of denominators.Remove the brackets , if any.Collect the terms with the variable to left hand side and constant terms to the right side by changing their signs ' + ' into ' - ' and ' - ' into ' + '.Simplify and get the single term on each side.Divide each side by the coefficient of variable and then get the value of variable.Hope I helped!
Best regards! :D
~TheAnimeGirl
For a given input value
m
mm, the function
g
gg outputs a value
n
nn to satisfy the following equation.
−
2
m
−
5
n
=
7
m
−
3
n
−2m−5n=7m−3nminus, 2, m, minus, 5, n, equals, 7, m, minus, 3, n
Write a formula for
g
(
m
)
g(m)g, left parenthesis, m, right parenthesis in terms of
m
I will give brainiest answer to whoever answer first
Answer:
g(m) = - 4.5mStep-by-step explanation:
The function g(m) gives output n to satisfy equation:
-2m - 5n = 7m - 3nSolving this equation for n:
-2m - 5n = 7m - 3n-2m - 7m = -3n + 5n-9m = 2n2n = -9mn = -9/2mn = - 4.5mSo the function is:
g(m) = - 4.5mAnswer:
It's not 4.5m guys
It's -9/2
Step-by-step explanation:
You are purchasing a book that cost $22.00. The sales tax is 8%. What is the total amount of your purchase?
A. $0.18
B. $1.76
C. $23.76
D. $17.60
Answer:
C
Step-by-step explanation:
22.00*0.08=1.76
22.00+1.76 = 23.76
Answer:
c
Step-by-step explanation:
22*0.08=1.76
the total would be the cost plus tax
22+1.76=23.76
hope this helps :3
Help!! I gotta turn it in a few minutes
Answer: 4/21
Step-by-step explanation:
1/7 = 6/42
2/3 = 28/42
28+6=34
42-34=8
8/42=4/21
Find the value of x!!!!!
I attached a photo of the answer
what is the image of (-4,-2) after reflection over the x-axis
Step-by-step explanation:
shzhqhwjsid9w01030f8fuw1hdhi
Answer:
(4, 2)
Step-by-step explanation:
Assuming the image is below the x axis because of the negatives, the reflection will move it only over the axis, giving you 4,2.
Let f(x)=|x| and g(x)=x+2. What are the domain and range of (f•g)(x)?
Answer:
Step-by-step explanation:
f(x) = | x |
g(x) = x + 2
y = | x + 2 |
Domain: all real numbers
Range: y ≥ 0
Can you pleasee explain how to find a y- intersept??
a y-intercept is any point that has an x-value of 0. for example, the ordered pairs (0,6) and (0,-4) would both be considered y-intercepts since any point with an x-value of 0 overlaps with the y-axis.
Answer: to find a y intercept you have to use the slope intercept form y = mx+b the m is the slope and the b is the y intercept the intercept depends on the value where y crosses the y axis.
Which correctly explains how to estimate 55 percent of 64?
Round 55 percent to 40 percent and 64 to 60. Think of 40 percent as . So, of 60 is 15.
Round 55 percent to 60 percent and 64 to 70. Think of 60 percent as . So, of 70 is 23.3.
Round 55 percent to 50 percent and 64 to 70. Think of 50 percent as . So, of 60 is 12.
Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as . So, of 60 is 30.
Answer:D
Step-by-step explanation:
A child 4 1/2 feet tall casts a 6-foot shadow. A nearby statue casts a 12-foot shadow.
Answer: The statue is 9 feet tall.
Step-by-step explanation: Just double all of your values because 12 is 6x2.
(-6) – (2 x 4) – (-1)
Answer:
[tex] (- 13)[/tex]
Step-by-step explanation:
[tex]( - 6) - (2 \times 4) - ( - 1) \\ - 6 - 8 + 1 \\ - 14 + 1 \\ = - 13[/tex]
hope this helps
brainliest appreciated
have a nice day!!
~Hi 1315~
Determine whether the dilation from figure A to Figure B is a reduction or enlargement
Answer:
Step-by-step explanation:
The dilation from A to B is a reduction
[tex]b_{1}[/tex] = [tex]\frac{a_{1} }{3}[/tex]
[tex]b_{2}[/tex] = [tex]\frac{a_{2} }{3}[/tex]
' the length of one side of an equilateral is 3x+2. its perimeter is 60 centimeters. write an equation that could be used to find the value of x. solve for x and then find the length of the side. ''
I need to find the equation and the side length :')
also please answer this quickly hhhhhhhhhhhhh
Answer:
Step-by-step explanation:
Triangle equilateral has 3 sides
3(3x+2) = 60
9x+6 =60
9x= 54
x=9
3x9 +2 = 20 One side = 20
20x3=60 3 sides = 60
Answer:
60
Step-by-step explanation: this is simple because it is lou
can you graph y=4/5x-7 on a graph
Bridgette has $1,000 to invest. She has two different investment options, shown in the table below. Each option would give her a different value over three years.
Number of Years 1 2 3
Option A (amount in dollars) 1100 1200 1300
Option B (amount in dollars) 1100 1210 1331
Part A: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option A? Explain your answer.
Part B: Write a function, a(t), to describe the value of the investment, in dollars, of Option A after t years.
Part C: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option B? Explain your answer.
Part D: Write a function, b(t), to describe the value of the investment, in dollars, of Option B after t years.
Part E: Bridgette wants to invest in whichever option would increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Bridgette's investment after 20 years if she uses Option A over Option B? Explain your answer, and show the investment value after 20 years for each option.
Answer/Step-by-step explanation:
Part A: The function that would best describe Option A is a linear function. This is because an increase in x would have a corresponding additive increase in y. With each increasing year, the value of Option A increases by $100. This is how we know Option A would be a linear function.
Part B: a(t) = y.
a(t) = a + 100t
Part C: The function that would best describe Option B is an exponential function. Unlike linear functions, an increase in x would have a corresponding multiplicative increase in y. Each value of Option B shares a common ratio of 1.1.
Part D: b(t) = y.
b(t) = b(1.1)^t
Part E: a(20) = a + 100(20)
1100 + 2000 = 3100
b(20) = b(1.1)^20
1100(1.1)^20
= 7400
There is definitely a significant difference between the value of Bridgette’s investment in both options. The difference between the values of each option after 20 years is 4300. Bridgette is better off using Option B if she wants more money at the end.
Hope this helps!
the shopkeeper buys 100 oranges for $ 25, 50 kg of apples for $ 80 and 20 melons for $ 15. he sells all of these oranges, apples and melons at the prices shown in the table. calculate his percentage profit
Answer:
Table?
Step-by-step explanation:
Find the product.
(2a^2+b) (3a-3b)
Enter the correct answer.
=============================================
Work Shown:
(2a^2+b)(3a-3b)
c(3a-3b) ..... let c = 2a^2+b
3ac-3bc .... distribute
3a(c)-3b(c)
3a(2a^2+b)-3b(2a^2+b) .... plug in c = 2a^2+b
3a(2a^2)+3a(b)-3b(2a^2)-3b(b) ... distribute
6a^3+3ab-6a^2b-3b^2
6a^3-6a^2b+3ab-3b^2
You could also use the FOIL rule to get the same result. The box method is a visual way to keep track of the terms.
P(x) = 3x³+ 2x²-x what is the value of P(2)
Answer:
polynomial is -1
so answer is-1
