Answers
By evaluating the derivative with respect to t of the height function h(t),
which is h’(t)=-2t+4,
we can find the turning point of the quadratic graph by solving h’(t)=0.
-2t+4=0
t=2
Therefore, we can know that when t=2, Sally’s potato attains its maximum height, which is
-(2^2)+4(2)+5
=9
Given that Sam’s potato has been 10 unit high, Sam’s potato went higher than Sally’s did.
=======================
Part B
Note that the for all t where h(t)>0, the potato is still in the air.
So all we need to do is to solve h(t)>0.
-t^2 + 4t + 5 > 0
t^2 - 4t - 5 < 0
(t + 1)(t - 5) < 0
Therefore we get -1 < t < 5.
But t represents time so it can’t be negative.
So the overall solution is 0 < t < 5.
Therefore the total flying time of Sally’s potato is 5 units.
Because the flying time of Sam’s potato is 3.5 units,
Sally’s potato stayed in the air longer.
Related Questions
what is the slope of (7,9.5) (2,7)
Answers
Answer: m=0.5
Step-by-step explanation:
Let's find the slope between your two points.
(7,9.5);(2,7)
(x1,y1)=(7,9.5)
(x2,y2)=(2,7)
Use the slope formula:
m=Let's find the slope between your two points.
(7,9.5);(2,7)
(x1,y1)=(7,9.5)
(x2,y2)=(2,7)
Use the slope formula:
y2−y1/y2−y1
7−9.5/2-7
2.5/-5 m=0.5
Answer:
[tex]\displaystyle m=0.5[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (7, 9.5)
Point (2, 7)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{7-9.5}{2-7}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-2.5}{-5}[/tex][Fraction] Divide: [tex]\displaystyle m=0.5[/tex]Enter the range of values for x:
А
52° 31°
B
12
D
2x - 6
3
Answers
Answer:
it's 9 I just took this assignment
The range of the values of x is 3 < x < 9
What is a Triangle ?A triangle is a polygon with three sides , angles and vertices.
The data is given in the question
The sides of the two triangles are same except , BD and DC.
It is known that the side opposite to the bigger angle is always bigger
therefore BD > DC
12 > 2x- 6
18 > 2x
9 > x
x < 9
and the value of a side is always greater than 0
therefore
2x-6 > 0
2x > 6
x >3
Therefore the range of the values of x is 3 < x < 9
To know more about Triangle
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The height of Niagara Falls is 56,000 centimeters. How many kilometers high is Niagara Falls?
Answers
Answer:
If I'm not wrong it's 0.56 kilometers
You rent an apartment that costs \$1700per month during the first year, but the rent is set to go up \$110per year. What would be the monthly rent during the 11th year of living in the apartment? can you show the work
Answers
Answer:
$2690 hopefully you get that [the picture]
b has 2 apples and c has 2/3 apples how many apples dose c have
Answers
Answer:
how am i supposed to know
Step-by-step explanation:
Answer:
as many as he wants?
Step-by-step explanation:
What are we looking for in the question?
Simplify the expression using the distributive property:
-4 (5x – 10)
Answers
To use the distributive property, we will multiply each term inside the parenthesis by the term outside of the parenthesis.
-4 * 5x + -10 * -4
-20x + 40
Hope this helps!! :)
Answer:
the result using the distributibe is: -20x +40
Please Graph
y > 3x - 6
y < 3x + 2
Answers
Answer:
The graph is under a graphing calculator under geogebra.com
Please help i need it fast
Show how you got your answer too please
Answers
Answer:
60.1 feet
Step-by-step explanation:
x= length of ladder
48/sin53 = x/sin90
x=48*sin90/sin53
x=60.1
Work out the value of 4 little 5 at top of four
Answers
Answer:
1024
Step-by-step explanation:
Assuming you mean [tex]4^{5}[/tex] , then
[tex]4^{5}[/tex] = 4 × 4 × 4 × 4 × 4 ( 4 multiplied by itself 5 times )
= 16 × 16 × 4
= 256 × 4
= 1024
HELPPPPP
Question 15(Multiple Choice Worth 4 points)
(05.06 LC)
Given the scatter plot, choose the function that best fits the data.
scatter plot with data points that form an upward curve staring at the origin and continuing to the right
f(x) = 4x
f(x) = −4x
f(x) = 4x2
f(x) = 4x
Answers
Answer:
f(x) = 4x²
Step-by-step explanation:
This function curves while the others don't.
Hope it's correct and helps!
The function that best fits the data is [tex]y=4^x[/tex]
What is function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is exponential function?"The function of the form [tex]y=ab^x[/tex] where a, b are real numbers and a ≠ 0 "
For given question,
The scatter plot with data points that form an upward curve staring at the origin and continuing to the right.
The graph represents an exponential function.
At (0, 1),
[tex]\Rightarrow 1=ab^0\\\Rightarrow a=1[/tex]
At (1, 4) we have,
[tex]\Rightarrow 4 = ab^1\\\Rightarrow 4=(1)b\\\Rightarrow b=4[/tex]
So, we have exponential function of the form [tex]y=4^x[/tex]
Hence, the function that best fits the data is [tex]y=4^x[/tex]
Learn more about exponential function here:
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How many solutions does the equations 2m + 4 (m-3) = 7m - 4 have?
Answers
Answer:
One solution
Step-by-step explanation:
since the graph formed by them has interesting lines, it will just have one solution
In right triangle ABC, it is known that the side adjacent of acute angle A has a length
of 10.3 meters and the hypotenuse has a length of 19.5 meters.
Find the measure of < A, to the nearest degree.
Answers
Answer:
58
Step-by-step explanation:
Fine the equation of the line.
Answers
Answer:
what is the line.............
Sarah bought 4 2/3 pounds of peaches and 2 1/6 pounds of apples. How many more pounds of peaches did she buy than apples?
Answers
Answer: She bought 1/3 more pounds of peaches then apples
Step-by-step im slow man but im pretty sure im right
4 x 4/6 = 2 2/3
2 x 1/6 = 1/3
help me please i don’t understand
Answers
Answer:
please go through the steps
Molly bought c candy canes. She paid $1.05, including tax, per candy cane. She gave the cashier $10 and received $1.60 in change. How many candy canes did Molly purchase? Please hurry
Answers
Answer:
Number of candy = 8 candy canes.
Step-by-step explanation:
Cost per candy = $1.05
Amount paid = $10
Change received = $1.60
Total cost = amount paid - change received
Substituting into the equation, we have;
Total cost = 10 - 1.6
Total cost = 8.4
To find the number of candy purchased;
Number of candy = total cost/cost per candy
Number of candy = 8.4/1.05
Number of candy = 8 candy canes.
Therefore, Molly purchased 8 candy canes.
what is b called in a triangle? PLEASE HURRY!
Answers
Answer:
B Is called legs
Step-by-step explanation:
Answer:
what are the answers ?
Step-by-step explanation:
I cant see the other answers I only see leg
Write this number in a scientific notation 36,300,000
Answers
Answer:
Step-by-step explanation:
Move the decimal place over 7 places to the left which means adding to the exponent.
3.63 x 10^7
i need help
I'm doin
Answers
Answer:
graph A
Hope that helps!
Answer: Graph a
Step-by-step explanation: The points in graph A match the table provided. The points (-2,2), (-1,3), and (0,4) are all on the line in graph A. If the line continued it would pass through (1,5).
What kind of Slope goes up and to the right? What kind of Slope goes down to the right? What kind of Slope is flat?
Answers
Answer:
A positive slope goes up and to the right
A negative slope goes down and to the right
A slope of zero creates a flat line
Step-by-step explanation:
A positive slope goes up and to the right, because that means the graph is increasing.
A negative slope goes down and to the right, because that means the graph is decreasing.
A slope of zero creates a flat line, such as a horizontal line that never increases in the y value.
Find the missing side in the right triangle x 7 14
Help pls
Answers
Answer:
The answer is C) 147 radical thing
Step-by-step explanation:
Trust me and hope this helps!
(08.05 MC)
The quadratic functions f(x) and g(x) are described as follows:
f(x) = -8x? +7
g(x)
0
0
1
2
2
6
3
2
4
0
Which of the following statements best compares the maximum value of the two functions?
The maximum value is the same for both functions.
Of(x) has a greater maximum value than g(x).
O g(x) has a greater maximum value than f(x).
The maximum values cannot be determined.
Answers
Answer:
x=67
Step-by-step explanation:
The correct statement is,
(B) f(x) has a greater maximum value than g(x).
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Function f (x) is,
f (x) = - 8x² + 7
Now, First, we determine the maximum point of f(x).
f(x) is at maximum at the point of symmetry, i.e. where x = - b/a
Here, a = -8, b = 0
Hence, x = - 0 / - 8 = 0
So, We get;
f (0) = - 8 x 0 + 7 = 7
Thus,
The maximum point of f(x) is (0,7)
And, The maximum point of g(x) is (2,6)
Therefore, f(x) has a greater maximum value than g(x).
Hence3, The correct option is B.
Learn more about the function visit:
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Plz help will mark brainliest
Answers
solve the inequality, SHOW WORK, please help I'll give brainliest
Answers
1. x≤5 Work: 2x+9≤19 move the constant to the right then its 2x≤19-9, then subtract the numbers and it would be 2x≤10, then divide both sides of the inequality by 2 which gives you the final answer of x≤5
2. x≥19 Work: x-7≥12 move the constant to the right then its x≥12+7, then add the numbers and get your final answer of x≥19
3. x≤4 Work: Divide both sides of the inequality by -3 and flip the inequality sign and that gives you -3÷(-3)≤-12÷(-3) and divide that which gives you x≤4
4. x<-3 Work: move the constant to the right which gives you -5x>16-1, then subtract to get -5x>15 and divide both sides of the inequality by -5 and flip the inequality sign to get x<-3
Note: This Took Forever LOL
Remember these 2 rules:
1) when you bring an element to the other side of the equation it changes sign
2) x must always be positive and this is obtained by multiplying all the terms of the equation by -1
Which of the following numbers are factors of 16 and 20?
Answers
Answer:
The set of factors of 20 is {1, 2, 4, 5, 10, 20} and the set of factors of 16 is {1, 2, 4, 8, 16}. {1, 2, 4, 5, 10, 20} ∩ {1, 2, 4, 8, 16} = {1, 2, 4} which has greatest value 4. So, GCF(20, 16) = 4.
Step-by-step explanation:
Answer:
The factors of 20 is 1, 2, 4, 5, 10, 20
The factors of 16 is 1, 2, 4, 8, 16
Step-by-step explanation:
What is the result of adding these two equations? -2x+y=0 -7x+3y=2
Answers
Answer:
-9x + 4y = 2 is the sum of the equations
can someone help me please
Answers
Answer:
its c
Step-by-step explanation:
when you multiply you get the example shown
The graph below shows two different deer populations over the same ten year period.
Deer Population
Which of the following answers is the best description for the deer population with the greatest growth rate:
Answers
Answer:
its d
Step-by-step explanation:
Answer:
its d
Step-by-step explanation:
just did it!
2x^2+7x+3
Factorising
Answers
Answer:
(2x+1)(x+3)
Step-by-step explanation:
2x^2+7x+3
(2x+1)(x+3)
Does the graph represent a function?