a ball is thrown straight up from a height of 3 ft with a speed of 32 ft/s.
state the domain, the range, and the intervals on which function is increasing, decreasing, or constant in interval notation
Answer:
domain (-∞, ∞)range (-∞, 4]increasing (-∞, 0)decreasing (0, ∞)constant (only at x=0, not on any interval)Step-by-step explanation:
The graph is of the equation y = -x^2 +4. It is a polynomial of even degree, so has a domain of all real numbers: (-∞, ∞).
The vertical extent of the graph includes y=4 and all numbers less than that:
range: (-∞, 4]
The graph is increasing to the left of its vertex at x=0, decreasing to the right.
increasing (-∞, 0); decreasing (0, ∞)
There is no interval on which the function is constant. It has a horizontal tangent at x=0, but a single point does not constitute an interval.
Dominic placed the following pieces of lumber in order from shortest to longest 23 over three 7 and 7/8 7.9 to 68 square root
Answer:
23/3
7 7/8
7.9
Step-by-step explanation:
find the value of f(3) for the function f(x)=-4(x+3) f(3)=
Answer:
-24Step-by-step explanation:
Given function
f(x)= -4(x+3)To find
f(3)=?Solution
Substitute x with 3 in the equation to find f(3)
f(3) = -4(3+3) = -4*6 = -249) What two operations are needed to solve 2x - 4 = 16?
a. Addition & division
b. Addition & subtraction
c.Multiplication & subtraction
Answer:
a. Addition & division
Step-by-step explanation:
2x - 4 = 16 (adding 4 to both sides)
2x = 16 + 4
2x = 20 (dividing both sides by 2)
x = 20/2 = 10
Hence we can see that the two operations are addition and then division
Please solve need help!
Answer:
ST 45
Step-by-step explanation:
9x=4x+25
5x=25
x= 5
plug back in 9(5)
Point g is on line segment FH. Given FG=5x+2, GH= 3x-1, and FH= 9, determine the numerical length of FG.
Answer:
Step-by-step explanation: fg + Gh = fh
8x+1=9
8x=8
X=1
The numerical length of the line segment FG is 7 units.
Given that, FG=5x+2, GH= 3x-1, and FH= 9.
We need to find the numerical length of FG.
What is a line segment?A line segment is a part of a line that has two endpoints and a fixed length. It is different from a line that does not have a beginning or an end and which can be extended in both directions.
Now, FH=FG+GH
⇒9=5x+2+3x-1
⇒8x+1=9
⇒8x=8
⇒x=1
So, FG=5x+2=7
Therefore, the numerical length of the line segment FG is 7 units.
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A scale on a blue print drawing of a house shows that 10 centimeters represents 2 meters. What number of actual meters are represented by 18 centimeters on the blue print?
Answer:3.6 m
Given:10cm=2m
Then, 5cm=1m
Therefore, (18/5)= lenght I'm meters on blueprint scale
(18/5)=3.6m
Kesha drives 26 miles in 48 minutes. Keeping the same rate, how many miles does she drive in 12 minutes
Classify the system of equations and identify the number of solutions. 5x + y = 2 2y = 4 − 10x
infinitive
Step-by-step explanation:
The system of equations represents the dependent because the solution to the system of equations has infinitely many solutions.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The system of equations are:
5x + y = 2
2y = 4 − 10x
The system of equations can be written as:
5x + y = 2 ..(I)
10x + 2y = 4 ...(II)
In equation (II) divide by 2
5x + y = 2 ..(III)
Equations (I) and (III) represent the same equation:
The system of equations represents the Dependent because the solution to the system of equations has infinitely many solutions.
Thus, the system of equations represents the dependent because the solution to the system of equations has infinitely many solutions.
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¿Cuál es el valor de 0.1561 redondeado a la décima más cercana?
A 0.15
B 0.16
C 0.1
D 0.2
Answer:
A0.15
Step-by-step explanation:
3/5(1 + p) = 21/20
find the solution to p
Answer:
3/4
Step-by-step explanation:
3/5(1+p)-21/20
3/5+3/5p=21/20
3/5p=21/20-3/5
3/5p=21/20-12/20
3/5p=9/20
p=9/20÷3/5
p=9/20*5/3
p=45/60
p=3/4
can someone help me with this question? I keep on getting it wrong.
Answer:
102
Step-by-step explanation:
Let x be the amount of money John spends.
x/2-5=46
x/2=51
x=102
Which of the following expressions are equivalent to 3V 2 ? Select all that apply.
Answer: A C and D
Step-by-step explanation:
What is the value of y in the solution to the following system of equations?
5x – 3y = -11
2x - 5y = -14
Answer:
{x,y} = {33/19,-2/19}
Step-by-step explanation:
Answer: For 5x-3y=-11, the answer is y=11/3 + 5x/3.
For 2x-5y=-14, the answer is y=14/5 + 2x/5
Step-by-step explanation: Move all terms that do not contain y to the right side and then solve.
I hope this helps you out! :)
2(3-p)=17=41 show answer.
this is what I found hope its correct!♀️
NEED HELP ASAP!!!
TEN POINTS!
What is the unit rate (words per 1 minute) for
this scenario?
Lucy can type 300 words in 5 minutes. How many words can Lucy type in 27 minutes.
Explain the steps you would take to find the quotient of 1/3 divided by 4/3
Sample Response: First, rewrite the problem as a multiplication problem. Multiply 1/3 by the reciprocal of 4/3, which is 3/4. Then multiply to get 3/12. Simplifying gives the answer of 1/4.
here u go:)
First, rewrite the problem as a multiplication problem. Multiply 1/3 by the reciprocal of 4/3, which is 3/4. Then multiply to get 3/12. Simplifying gives the answer of 1/4.
have a great day :)
A class has 6 boys and 15 girls. What is the ratio of boys to girls?
Answer:
6/21
Step-by-step explanation:
bc thats the answer
Answer:
Simplified: 6/15 = 2/5
Step by-step explanation:
Each graph shows two polygon's A B C D and A' B' C' D in each case, describe a sequence of transformation that takes A B C D to A 'B 'C' D' So basically l need help describing the sequence of transformation
Answer:
1. Reflection across y-axis and translated down 1 unit
2. 270 degree counterclockwise rotation and translated right three units.
Step-by-step explanation:
For number 1, when you reflect across the y-axis, the polygon is one unit above the intended location, so you would move it down one.
For number two, when you rotate it 270 degrees counterclockwise, it is to the left three units, so you would move it to the right three units.
f(0) = x - 9
Help if you can?!
Answer:
Substitute the given value into the function and evaluate is
− 9
which expression is equivalent to 42+90?
Step-by-step explanation:
42+90 can be written in many ways.
Fore example, it can be written with double negatives, or even commutative property.
42-(-90) or 90+42
(21x2)+(45x2) or (6x7)+(3x30)
Sorry if it's wrong...
What is the value of m?
O 10
O 30
O 70
O 150
Melissa made a total of 14 baskets during her last basketball game. She made a number of 2-point baskets and a number of 3-point baskets for a total of 33 points. Using matrices to solve, how many 3-point baskets did Melissa make in her last basketball game? 3 5 9 11
Answer:
The answer should be 5
Step-by-step explanation: cause 3x5=15 which leaves 9 more shots that are equal to 2 2x9= 18 and 18+15= 33 which means the answer is 5
Answer:
B.) 5
Step-by-step explanation:
Edge2021
i have a zero in the ones place. i am greater than 20 but less the 39 what am i
Answer:
30
Step-by-step explanation:
The function f is defined by the following rule.
f(x) = 3x - 3
Complete the function table,
X
- 4
2
5
Evaluate the expression when a = -2 and b=2.
a-2b
Answer:
-6
Step-by-step explanation:
a-2b
-2-2(2)
-2-4
-6
Karen owns a seafood restaurant. She orders trout from an online retailer.
Each pound of trout costs $30, and the company charges a $2 fee for
shipping the order. However, if Karen orders 10 or more pounds, the trout
costs only $24 per pound, but the shipping fee is $6.
Which piecewise function models the cost of x pounds of trout?
A. f(x) =
30x + 2, 0 < x < 10
24x + 6, 2 > 10
O B. f(2)=
24x + 6, 0 << < 10
30% +2, 2 > 10
O c. f() =
{
30x + 2, 0 << < 10
24x + 6, 3 > 10
D. f(x) =
24x + 6, 0 < x < 10
30x + 2, 3 > 10
< PREVIOUS
Answer: 30x+2, 0<x<10
24x+6, x>10
Step-by-step explanation:
Make sure the x>6 has the line under the >. It would not let me enter it like that.
The piecewise function that models the cost of x pounds of trout is: [tex]\bold{f(x)=\left \{ {{30x + 2,~~0 < x < 10} \atop {24x + 6,~~~x > 10}} \right. }[/tex],
What is piecewise function?"It is a function that is defined on a sequence of intervals."
For given question,
'x' represents number of pound of trout.
Each pound of trout costs $30, and the company charges a $2 fee for
shipping the order.
We write this in equation form as,
f(x) = 30x + 2
This is possible if Karen orders less than 10 pounds.
So, the function would be,
f(x) = 30x + 2, 0 < x < 10
If Karen orders 10 or more pounds, the trout costs only $24 per pound, but the shipping fee is $6.
This means, the function would be,
f(x) = 24x + 6, x > 10
Hence, the piecewise function that models the cost of x pounds of trout is: [tex]\bold{f(x)=\left \{ {{30x + 2,~~0 < x < 10} \atop {24x + 6,~~~x > 10}} \right. }[/tex]
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Which of the following equations has been vertically stretched by a factor
of 5?
A) Y=|x+5|
B) Y=|x-5|
C) Y=5|x|