Answer:
$52.50
Step-by-step explanation:
C = 3.5t
C = 3.5 (15)
3.5 × 15 = 52.5
C = $52.50
Sports. The path of a particular punt follows the quadratic function where is the height of the ball in yards and corresponds to the horizontal distance in yards. Assume corresponds to midfield (the yard line). For example, corresponds to the punter's own yard line, whereas corresponds to the other team's yard line. a. Find the maximum height the ball achieves. b. Find the horizontal distance the ball covers. Assume the height is zero when the ball is kicked and when the ball is caught.
The question is incomplete. The full question is below.
The path of a particular punt follows the quadratic function
[tex]h(x)=\frac{-1}{8}(x-25)^{2}+50[/tex]
where h(x) is the height of the ball in yards and x corresponds to the horizontal distance in yards. Assume x=0 corresponds to midfield (the 50 yards line). For example, x=20 corresponds to the punter's own 30 yard line, whereas corresponds to the other team's 30 yard line.
a. Find the maximum height the ball achieves.
b. Find the horizontal distance the ball covers. Assume the height is zero when the ball is kicked and when the ball is caught.
Answer: a. Maximum height = 50
b. Horizontal distance = 40
Step-by-step explanation: A quadratic function has its maximum or minimum point on its vertex.
When the function is negative, function has a maximum point.
The quadratic function h(x) is written in vertex form, meaning the coordinate of vertex is explicit in the function.
General vertex form: [tex]f(x)=A(x-h)^{2}+k[/tex]
A is vertical scaling parameter
(h,k) are the coordinates of vertex
So, the quadratic function for the height for the ball:
[tex]h(x)=\frac{-1}{8}(x-25)^{2}+50[/tex]
shows its vertex:
(h,k) = (25,50)
a. The maximum height the ball achieves the maximum value corresponds to the y-axis, which means, maximum height is 50 yards.
b. Horizontal distance is when h(x)=0, so:
[tex]\frac{-1}{8}(x-25)^{2}+50=0[/tex]
[tex]\frac{-1}{8}(x-25)^{2}=-50[/tex]
[tex](x-25)^{2}=400[/tex]
[tex]x^{2}-50x+625=400[/tex]
[tex]x^{2}-50x+225=0[/tex]
Solving quadratic equation:
[tex]x_{1}=\frac{50+\sqrt{1600} }{2}[/tex] = 45
[tex]x_{2}=\frac{50-\sqrt{1600} }{2}[/tex] = 5
When ball is kicked, it is in position 5. When is caught, is position 45. So, distance the balls covers is 40 yards.
Which function is graphed below? pls help
Answer:
its b Brother
Step-by-step explanation:
I NEED HELP I AM STUPID SO I DONT GET THIS HERE IS THE QUISTION 4-x-6(x+5)=15 HE ALSO SAID THIS - Students will determine whether an equation has 0, Infinite, or 1 solution, and if 1, find it. I ADDED A SCREEN SHOT OF QUISTION PLS HELP ME OR I AM FAILING THIS CLASS
Answer:
im pretty sure it has two real solutions
Step-by-step explanation:
1. simplify the equation given
(4x - 6)(x + 5) = 15
4x^2 + 20x - 6x - 30 = 15
4x^2 + 14x - 45 = 0
2. find the discriminant (b^2 - 4ac); (a = 4, b = 14, c = -45)
14^2 - (4 x 4 x -45)
196 - (-720)
916
the discriminant is positive, so this equation has 2 real solutions
to find the solutions, factor the bolded equation (if you need help factoring, let me know!)
Write 50,170,000,000 in scientific notation
Answer:
lrrjrklrk
krknfene
lrrjrklrk
Step-by-step explanation:
krknfene
lrrjrklrk
krknfene
Answer:
the scientific notation is
5.017E10
Which angles are coreesponding angles?
Answer:
PQN and MNL
Step-by-step explanation:
A corresponding angle is an angle that occupies the same relative position of another angle on a straight line. If they are parallel then they are corresponding.
Write an expression that is equivalent to 2(-3x2+6x+1)-2(4x2-3x+1)
Answer(-14x power2+18x)
Step-by-step explanationA clothing company wants to ship more items per box. The length, width and height of the new boxes are all twice as long as those of the old
boxes
How does the volume of a new box compare to the volume of an old box?
O A The volume of the new box ls 2 times the volume of the old box.
OB The volume of the new box is 4 times the volume of the old box.
O c The volume of the new box is 6 times the volume of the old box
OD. The volume of the new box is 8 times the volume of the old box.
Answer:
I believe the answer is A
Step-by-step explanation:
I say it's A because the volume is double like it told us. Compared to the new box it's twice as long as the old boxes.
I hope this helps! ~~~~
The volume of the new box is 8 times the volume of the old box.
The correct answer is option (D).
Volume of rectangular box:The volume of a rectangular box with length L, width W and height H is,
V = L × W × H
Given: -
Let [tex]l,w,h[/tex] represents the length, width and height of the old rectangular boxes.
Let [tex]V_o[/tex] represents the volume of the old rectangular box.
⇒ [tex]V_o=l\times w \times h[/tex]
The length, width and height of the new boxes are all twice as long as those of the old boxes.
This means the length, width and height of the new boxes would be [tex]2l,2w,2h[/tex].
Let [tex]V_n[/tex] represents the volume of the new rectangular box.
So, the volume of the new rectangular box would be,
⇒ [tex]V_n=2l \times 2w \times 2h[/tex]
⇒ [tex]V_n = 8 \times l \times w \times h[/tex]
⇒ [tex]V_n=8 \times V_o[/tex]
This means, the volume of the new box is 8 times the volume of the old box.
Hence, option (D) is the correct answer.
Learn more about rectangular prism here:
https://brainly.com/question/21308574
#SPJ2
The triangles below are congruent. Which of the following statements must be true?
Answer:
BC=FD
Step-by-step explanation:
Answer: I agree it’s BC congruent to FD
Step-by-step explanation:
Find the length of the missing side.
1.
35 m
21 m
A recipe says, “1 part cocoa to 4 parts sugar.” How much sugar will you need if you use 20 grams of cocoa
Answer:
80 grams
Step-by-step explanation:
because 1 part is cocoa and 4 parts sugar.
20= 1 part so all you have to do is multiply 20 by 4 and you get 80
Hope this helps!!
Answer:
80 grams
Step-by-step explanation:
4 times 20 is 80. it's like doing unit rate.
If Tori has 100 apples, and Peppa has 200, Alex had 300, and Lorenzo has 3 times the amount they did combined, How many apples does Lorenzo have?
Answer:1,800 apples
Step-by-step explanation:100+200+300 is 600 and when you multiply that times 3 you get 1,800.
Answer:
1,800.
Step-by-step explanation:
Add all of the apples together and multiply by 3.
Use the given x and y values to write a direct variation equation
x=5, y=30
Answer:
y=6x
Step-by-step explanation:
direct variation equation is like y=kx (k: constant)
substitute (5,30) to solve k,
30=5k
k=6
Answer:y=6x
Step-by-step explanation:
What is the answer for number 9
Answer:
y= 2/4x + 16
Step-by-step explanation:
do da math
what are cordinate planes
Answer:
hey you can use google
Step-by-step explanation:
first write your question then look for useful answers
Answer:
where points are on a grid
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is x−3y=12. Fully reduce your answer.
Answer:
m perpendicular = - 3
Step-by-step explanation:
To start with, we need to find the slope of the given line, by solving for y in the equation
x - 3 y = 12
x = 3 y + 12
x - 12 = 3 y
divide by 3 both sides:
y = x/3 - 12/3
y = (1/3) x - 4
then, the slope of the given line is 1/3, and according to the property of perpendicular lines, a perpendicular slope will be the 'opposite of the reciprocal" of the slope of the original line. That is: the value - 3.
Then the slope of the perpendicular line is: m = - 3.
Answer:
3
Step-by-step explanation:
Anthony has saved $15 of the $140 he needs to purchase a new bicycle. He plans to save $15 each week w, until he has enough money to buy the bicycle. Write an equation to find the number of weeks it will take Anthony to save enough money to buy the bicycle.
Answer:
(140-15)÷15=W
Step-by-step explanation:
140-15=125
125 still needed. divide that by the amount that will be saved each week which is 15 a week and you get 8.3. If they want an actual answer you would say 9 weeks because if you only did 8 Anthony would be short $5 so hed have to wait an additional week to have enough to cover the purchase. So thats why the answer would be 9
Brainliest please!!!
show your work please hurry
−17 = x − 15
Answer:
x = -2
Step-by-step explanation:
-17 = x - 15
+15 +15
------------------
-2 = x
Construct a 2x2 matrix A= aij. whose elements are given by
a = |-3i + j|
Answer:
2
Step-by-step explanation:
Andrew paid for his burger with a 20% off coupon. If he paid $10 for his burger, what was the original price?
Answer:
20% off means that you subtract 20% of the price of the burger.
If the burger is $10, how much is 20% of that? If you subtract that amount, what do you get as the final price?
Step-by-step explanation:
Clare earned a total of $12 for 2 hours of yard work. How many hours in all will it take Clare
to earn $18? Solve using unit rates.
Fast please asap thanks
Answer:
3 hours
Step-by-step explanation:
$12 = 2hours
Find how much Clare was paid for one hour
Total money earned ÷ number of hours = wage per hour
12 ÷ 2 = $6 per hour
set up equation
6x = 18
This equation says 6 dollars an hour × number of hours = $18
To solve for this equation, divide both sides by 6 (this isolates the variable)
6x ÷ 6 = 18 ÷ 6
1x = 3
x = 3
Please help me. I have no idea how to solve this.
Answer:
its either D or C
Step-by-step explanation:
A makes no sense because u only moving 2 and for B too and E it not it
Dilations always increase the length of line segments
True
False
Dilations increase the measure of angles.
Group of answer choices
True
False
Dilations of a triangle are similar to the original triangle.
Group of answer choices
True
False
Huh heyrhd Rhfhgrysamwoaj
Answer:
what ? You Must Be Real Bored Kid
Answer:
Step-by-step explanation:
welp free answers ty
please helppppp it’s due in 30 mins
Answer:A
Step-by-step explanation:
There is a pattern where every two days the previous log is multiplied by three. If you divide 3 by 2 you get 1.5 this is the increase per one day so just multiply day 6 by 1.5 to get the answer for day 7.
1
1
2
3
3
4
Y
4
-2
01
-3
O
Function
O
Not a Function
The first four multiples of 5 are
Answer:
5, 10, 15 , 20
Step-by-step explanation:
Use the figure below to solve for X.
Answer:
the value of x is 45 degree
Answer:
45
Step-by-step explanation:
Step 1:
2x + 55° + x - 10° = 180° Sum of a Δ
Step 2:
3x + 45° = 180° Combine Like Terms
Step 3:
3x = 135° Subtract 45° on both sides
Step 4:
x = 135° ÷ 3 Divide
Answer:
x = 45
Hope This Helps :)
Find the slopes of the linear functions.
y = -2x + 7
The slope of the line given by the linear equation is
ty
The slope of the line shown in the graph is
4
-8
4
Answer:
The slope of the line given by the linear equation is -2
The slope of the line shown in the graph is -1
Step-by-step explanation:
The line equation, y = -2x + 7 is written in the slope-intercept form, which is represented by the formula, y = mx + b.
m is the slope, while b is the y-intercept.
Therefore, the slope of the line of the linear equation, y = -2x + 7 is -2.
Find the slope of the line shown in the graph using the formula, [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex].
Use the coordinates of any two points on the line. Let's use (0, 5) and (5, 0)
Let,
[tex] (0, 5) = (x_1, y_1) [/tex]
[tex] (5, 0) = (x_2, y_2) [/tex]
[tex] m = \frac{0 - 5}{5 - 0} = \frac{-5}{5} = -1 [/tex]
Therefore:
The slope of the line given by the linear equation is -2
The slope of the line shown in the graph is -1
D/3.5-13>-17 solve this equation
Answer:
70.5
Step-by-step explanation:
multiply the denominator 3.5 on both sides.
you get 57.5 + 13 = 70.5
A car can travel 64 mlles in two hours, 128 miles in four hours, and 192 mlles In six hours. What is the constant rate of change?
Answer:
1 hour/ 32 miles
Step-by-step explanation: