Answer:
The range of the function is from 2 feet to 12.25 feet
Step-by-step explanation:
In a function f(x) = y
x is the domain of the function
y is the range of the function
The height (h) of the ball at time (t) seconds can be represented by the equation h(t) = - 16 t² + 20 t + 6
∵ h(t) = - 16 t² + 20 t + 6
∴ The domain is t
∴ The range is h(t)
- To find the range of the quadratic function find the maximum or
minimum value of it
∵ The leading coefficient of the function is -16
∴ The function has a maximum value
To find the maximum value differentiate h(t) with respect to t and equate it by 0 to find the value of t for the maximum height
∵ h'(t) = -16(2) t + 20(1)
∴ h'(t) = -32 t + 20
- Equate it by 0
∵ h'(t) = 0
∴ -32 t + 20 = 0
- Subtract 20 from both sides
∴ -32 t = - 20
- Divide both sides by -32
∴ t = 0.625 seconds ⇒ time for the maximum height
Substitute the value of t in h(t) to find the maximum height
∵ h(0.625) = -16(0.625)² + 20(0.625) + 6
∴ h(t) = 12.25 feet
∴ The maximum height of the ball is 12.25 feet
∵ The ball is caught at 2 feet
∴ The range of the function is 2 ≤ h(t) ≤ 12.25
The range of the function is from 2 feet to 12.25 feet
4 multiple ( 2+3) square 2
Answer:
100
Step-by-step explanation:
4 x (2 + 3)[tex]^{2}[/tex]
for this equation u have to use PEMDAS so u have to solve the parenthesis first which is 5 then exponets which is [tex]5^{2}[/tex] which is 25 and 24 x 4 gives you 100
hope this helps, if im wrong sorry
what is the value of X that makes equation true? -5(2x - 3) + 4x = -3x + 6
Answer:
the value of x is -2
it was pretty simple if in wrong im sorry
The answer to the equation -5(2x - 3) + 4x = -3x + 6 is x=3
What is the gcf of 24 and 39
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
First, list out all the factors of 24 and 39, and find common factors.
24 39
1 1
2 3
3 13
4 39
6
8
12
24
Three is the GFC
John gets 1 question incorrect for every 15 questions. How many questions will he get correct & incorrect if he had to answer 25 questions?
Answer:
2
Step-by-step explanation:
15+15 is 25 and for every 15 questions he gets 1 wrong so he got 2 wrong
John will fail.
John will fail.
John will fail.
John will fail.
John will fail.
John will fail.
John will fail.
John will fail.
John will fail.
Hannah is thinking of two numbers. Their HCF is 6 and their LCM is 2310.
Choose all the pairs that she could be thinking of.
30 and 462
42 and 165
66 and 210
105 and 462
42 and 330
The sum of the digits of a two-digit number is 8. The difference between the number and the reversed number is 10 more than the reversed number. Find the number.
Answer:
The number is 62
Step-by-step explanation:
Let the digits of the number be T and U;
A 2 digit number is represented as: 10T + U
So,
[tex]T + U = 8[/tex]
[tex]10T + U - (10U + T) = 10 + 10U + T[/tex]
Required
Find the digit
Make U the subject in the first equation
[tex]U = 8 - T[/tex]
Substitute 8 - T for U in the second
[tex]10T + U - (10U + T) = 10 + 10U + T[/tex]
[tex]10T + 8 - T - (10*(8-T) + T) = 10 + 10(8 - T) + T[/tex]
[tex]10T + 8 - T - (80-10T + T) = 10 + 80 - 10T+ T[/tex]
[tex]10T + 8 - T -80+10T - T = 10 + 80 - 10T+ T[/tex]
Collect Like Terms
[tex]10T + 10T - T- T + 8 -80 = 10 + 80 - 10T+ T[/tex]
[tex]18T -72 = 90 - 9T[/tex]
[tex]9T + 18T = 90 + 72[/tex]
[tex]27T = 162[/tex]
[tex]T = 162/27[/tex]
[tex]T = 6[/tex]
Recall that:
[tex]U = 8 - T[/tex]
[tex]U = 8 - 6[/tex]
[tex]U = 2[/tex]
Hence, the number is 62
A soccer team is selling doughnuts to raise money for new uniforms. They are selling the doughnuts for $8 per dozen. They must pay Delightful Donuts $2 per dozen doughnuts and a $20 delivery fee for the doughnuts purchased to sell. Choose the function that represents a Profit Function. Select all that apply.
Answer:
P(x)=8x-20
P(x)=8x-(2x+20(
Step-by-step explanation:
When shopping for life insurance, the best strategy is to:
a. Follow your agent's recommendations. They are the experts and it is the agent's job to make
sure you get the products that are right for you.
b. Buy your coverage through your employer, if possible.
c. Figure out how much you need, then comparison shop using the Web and other resources.
d. Wait until you are older so that you can buy a cheaper, shorter term policy.
Please select the best answer from the choices provided
B
O O O O
oo >
Mark this and return
Submit
Answer:
answer is "C"
Step-by-step explanation:
just took the test on edge 2020
The best strategy when shopping for life insurance is option (c): Figure out how much coverage you need, then comparison shop using the Web and other resources.
Choosing life insurance is an important decision that impacts your loved ones' financial security in the future. Rather than solely relying on an agent's recommendations or employer-provided coverage, it's crucial to assess your specific needs and financial situation. Take the time to determine the appropriate amount of coverage based on factors like family expenses, outstanding debts, and future financial goals.
Once you have a clear understanding of your needs, comparison shopping allows you to explore various insurance providers, their policy features, and premiums. This enables you to find the best policy that meets your requirements and provides value for your money. Making an informed decision ensures you have the right life insurance coverage to protect your loved ones in the long run.
To know more about strategy:
https://brainly.com/question/29056752
#SPJ6
What angle is congruent to C?
Answer:
Angle F
Step-by-step explanation:
They have the same degrees
e-intercept form.
2. (2, 4); slope
1
2
write the linear equation in slope-intercept form
to work this out you need to solve for your y-intercept. by using what you have.
once you do so you get the answer y=1/2x+3
PLEASE HELP! Just do 5 - 7. Thanks
Answer:
5.
Rectangle a:
Perim: 16 cm
Area: 12 cm^2
Rectangle b:
Perim: 32 cm
Area: 48 cm^2
6.
16:32 or 16/32 or 16 to 32
7.
12:48 or 12/48 or 12 to 48
Step-by-step explanation:
6 The temperature at Wonder Lake is 12°F. During a storm, the temperature changes by -26°F. What is the temperature after the storm show your work
Answer:
-14
Step-by-step explanation:
12-26
10-20=10
2-6=4
-14
I may have done this wrong
Find the zero of the function f(x) = -8x + 4.
a. -1/2
b. 2
c. -2
d. 1/2
Please select the best answer from the choices provided
A
B
C
D
Answer:
D
Step-by-step explanation:
f(1/2)=-8(1/2)+4 = 0
do the math for brainiest its not hard :)
:)
................................
which two statements are true about triangle b?
Answer:
A, C
Step-by-step explanation:
Evaluate f(x) when x=-10
(2x - 4 if -3
f(x) =
\x2 +3 if 10 < x <13
-24
16
No solution
-7
Answer:
Step-by-step explanation:
-7 is the correct.
4.82
write as a fraction or mixed number in simplest form
I'm pretty sure 4.82 as a simplified fraction is 241/50.
Tyler took $20 out of his checking account 6 days in a row while he was on vacation. Which integer shows the total change in his checking account balance for those days?
Answer:
120
Step-by-step explanation:
20 x 6 = 120 which will be subtracted by his balance. hence the change.
Answer:
-$160
Step-by-step explanation:
20*6=160
Don’t know answer help!!!
Answer:
Step-by-step explanation:
AA
Write an equation in slope-intercept form for the line graphed below.
Answer:
y = 2x - 5
Step-by-step explanation:
-5 because its the y-intercept where the line intercepts the y-axis
2x because it is your slope (the line jumps two units vertically every one unit horizontally)
If water flows through a pipe at a rate of 6 milliliters per hour, how wil I express this rate of flow in pints per day?
Answer:
0.304 pints per day
Step-by-step explanation:
Here, we want convert
if 6 milliliters flow in an hour , then in a day which is 24 hours, the amount that will flow is 24 * 6 = 144 milliliters in a day
so we need to convert this to pint
mathematically;
1 pints= 473.176 ml
x pints = 144 ml
x =
144/473.16 = 0.304 pints per day
I WILL GIVE YOU BRAINLIEST AND 40 POINTS PLEASE HELP!
Answer:
rate of change 0-500 value 500=25 equation f500$ for 25 pound of potatoes
Step-by-step explanation:
(9.32 * 10^3) (3.32 *10^2)
Answer:
−72,−2.8,−54, 43, 1.3
Step-by-step explanation:
Answer:
3,094,240
Step-by-step explanation:
(9.32 x 10^3) (3.32 x 10^2)
(9.32 x 1000) (3.32 x 100)
(9320) (332) = 3094240
Prove that the following quadrilateral is a kite.
A(1,5), B(4, 2), C(1, -5), D(-2, 2)
Answer:
1, -5), D(-2, 2)
Step-by-step explanation:
the points form a diamond shown in the linked image
-4(1+ 5-6- (42+5)
I really need the answer asap please and thanksss
Answer:
Read left to right
Do parenthesis first
-4 ( 1 + 5) ^2
-4 (6) ^2
Then exponent
6^2 = 6 x 6 = 36
-4 x 36 = -144
Then divide
-144 / 6 = -24
Then the next parenthesis
(42+5) = 47
-24 - 47 = -71
Step-by-step explanation:
what is the value of this?
Answer:
4
Step-by-step explanation:
I used desmos
[tex]\textsf{Hey there!}[/tex]
[tex]\mathsf{\dfrac{-2(7-15)}{4}}\\\\\mathsf{7-15=-8}\\\\\mathsf{\dfrac{-2(-8)}{4}}\\\\\mathsf{-2(-8)=16}\\\\\mathsf{\dfrac{16}{4} = 4}\\\\\\\boxed{\boxed{\mathsf{Thus,\ your\ answer\ is: \boxed{\boxed{\mathsf{\bf{D.\ 4}}}}}}}\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
A lawn sprinkler sprays water onto part of a circular region as shown below. What is the exact area in square feet of the region that the sprinkler sprays with water?
Answer:
80 ft
Step-by-step explanation:
Jonas has $75 to spend on new clothes. The pair of jeans he wants costs $48.50. Which inequality best represents the amount of money Jonas can spend on shirts?A. s+48.50≥75, B. s+48.50 75, D. s+48.50≤75
A camera store developed 2100 rolls of film in one month. Customers wanted double prints from 1500 of these rolls. What is the ratio of rolls with double prints to rolls developed?
2:7
2:5
5:7
7:5
Answer:
the answer is 5:7
Step-by-step explanation:
as a fraction, the ratio looks like this:
1500/2100
where 1500 is the number of rolls with double prints and 2100 is the amount of rolls developed.
if you simplify the fraction, you get 5/7.
5/7 is 5:7 written as a ratio in this problem.
hope this helped!!
Rita goes for a bike ride on a trail by her house. After 15 minutes of riding she sees a mile marker. When she reaches the third mile marker, she realizes that she has been biking for 30 minutes. What is the rate at which she is riding?
Given:
Rita covered 1 mile in 15 minutes.
She covered 3 miles in 30 minutes.
To find:
The rate at which she is riding.
Solution:
Let y be the number of miles covered in x minutes.
Rita covered 1 mile in 15 minutes. So, the point is (15,1).
She covered 3 miles in 30 minutes. So, the point is (30,3).
Slope of the line:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{3-1}{30-15}[/tex]
[tex]m=\dfrac{2}{15}[/tex]
Therefore, she is riding [tex]\dfrac{2}{15}[/tex] miles per minute.
