Answers
Explanation:
The function declaration is f(x) where x represents the input. The input in the table given is the row labeled with x. Hence the inputs are -8 2 4 6 as shown in the table. So the correct option is Option (C) -8 2 4 6.
-i
Answer:
Input of the function are -8,2,4,6
Step-by-step explanation:
Input of a function are the domain .
Domain is the values of x. So inputs are the value of x in the table
Input of the table is x and output is f(x)
Input are the values that gives the output f(x)
From the table the x values are -8,2,4 and 6
Input of the function are -8,2,4,6
Related Questions
Solve the system of equations -4x + 3y = -2 y = x - 1
Answers
Plug in x-1 to the first equation and solve.
-4x+3(x-1)=-2
-4x+3x-3=-2
-x=1
X=-1
You then plug x into one of the original equations and solve
Y=-1-1
Y=-2
Answer:(-1,-2)
The solution to the system of equations -4x + 3y = -2 and y = x - 1 is x = -1 and y = -2.
What is the solution to the system of equations?Given the system of equations in the question:
-4x + 3y = -2
y = x - 1
Solve the system of equations by substituting the expression for y from the second equation into the first equation:
-4x + 3y = -2
Plug in y = x - 1:
-4x + 3( x - 1 ) = -2
Simplifying, we get:
-4x + 3x - 3 = -2
Solve for x:
-x = -2 + 3
-x = 1
x = -1
Now, plug x = -1 into equation 2 and solve for y:
y = x - 1
y = -1 - 1
y = -2
Therefore, the solution is x = -1 and y = -2.
Learn more about system of equations here: brainly.com/question/30319215
#SPJ3
A ball is thrown upward from the top of a building. The function below shows the height of the ball in relation to sea level, f(t), in feet, at different times, t, in seconds: f(t) = −16t2 + 48t + 160 The average rate of change of f(t) from t = 3 seconds to t = 5 seconds is _____ feet per second.
Answers
The Average rate of change of f(t) from t = 3 seconds to t = 5 seconds is - [tex]v_{avg} = -80\;ft/s[/tex]
We have a equation -
[tex]f(t) = -16t^{2} +48t+160[/tex]
that calculates the height of the ball from sea level in feet at different times.
We have to find the average rate of change of f(t) from t = 3 seconds to t = 5 seconds.
What is Average velocity?The rate of change of displacement per unit time is called average velocity. Mathematically -
[tex]v_{avg} = \frac{d_{2} - d_{1} }{t_{2} - t_{1} }[/tex]
We have -
[tex]f(t) = -16t^{2} +48t+160[/tex]
For time t = 3 seconds, f(t) is -
[tex]f(3) = -16(3)^{2} + 48(3) + 160\\f(3) = -144 +144 +160\\f(3) = 160\; feets\\[/tex]
For time t = 5 seconds, f(t) is -
[tex]f(5) = -16(5)^{2} + 48(5) + 160\\f(5) = -400+240+160\\f(5) = -400 + 400\\f(5) = 0 feet[/tex]
The formula for average velocity is -
[tex]v_{avg} = \frac{d_{2} - d_{1} }{t_{2} - t_{1} }[/tex]
According to question -
[tex]t_{2} = 5s[/tex] and [tex]t_{1} = 3s[/tex]
[tex]d_{2} = f(5) = 0 feet[/tex] and [tex]d_{1} = f(3)=160[/tex]
Substituting the values in the formula of average velocity, we get -
[tex]v_{avg} = \frac{0 - 160}{5 - 3} \\v_{avg} = \frac{-160}{2\\} \\v_{avg} = -80\;ft/s[/tex]
Hence, average rate of change of f(t) from t = 3 seconds to t = 5 seconds is [tex]v_{avg} = -80\;ft/s[/tex].
To solve more questions on calculating the average rate of change of height with time, visit the following link -
https://brainly.com/question/22257105
#SPJ2
A shipping container is in the shape of a right rectangular prism with a length of 13.5 feet, a width of 10.5 feet, and a height of 2.5 feet. The container is completely filled with contents that weigh, on average, 0.33 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?
Answers
Total weight=(volume of the container)*(weight per cubic volume)
volume of the container
=length*width*height
=13.5×10.5×2.5
=354.375 ft³
weight per cubic volume=0.33 pound per cubic ft
Total weight=354.375×0.33=116.94375 pounds~117 pounds
The weight of the contents in the container, to the nearest pound, is 117 pounds.
To calculate the weight of the contents, we first find the volume of the container, then multiply it by the weight per cubic foot.
Step 1: Calculate the volume of the container.
Volume = length × width × height
Volume = 13.5 ft × 10.5 ft × 2.5 ft
Volume = 354.375 cubic feet
Step 2: Calculate the weight of the contents.
Weight = Volume × Weight per cubic foot
Weight = 354.375 cubic feet × 0.33 pounds per cubic foot
Weight ≈ 116.8725 pounds
Rounded to the nearest pound, the weight of the contents is 117 pounds.
First, we find the volume of the container by multiplying its length, width, and height together. The formula for the volume of a rectangular prism is length × width × height. In this case, the dimensions are given as 13.5 feet for the length, 10.5 feet for the width, and 2.5 feet for the height.
Next, we multiply the volume of the container by the weight per cubic foot of the contents to find the total weight. The average weight per cubic foot is given as 0.33 pounds.
Finally, we round the calculated weight to the nearest pound to match the desired precision. In this case, the weight of the contents is rounded to 117 pounds.
Complete question:
A shipping container is in the shape of a right rectangular prism with a length of 13.5 feet, a width of 10.5 feet, and a height of 2.5 feet. The container is completely filled with contents that weigh, on average, 0.33 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?
For bananas are to be selected from a group of seven in how many ways can this be done
Answers
Given a possible triangle ABC with a=5, b=11, and A=23 degrees, find a possible value for angle b. Round to the nearest tenth. A. 10.2° B. 11.2° C. 59.3° D. no solution Please select the best answer from the choices provided
Answers
Sine (A) / a = Sine (B) / b
Substituting values we have:
Sine (23) / 5 = Sine (B) / 11
Clearing we have:
(Sine (23) / 5) * (11) = Sine (B)
B = Asine ((Sine (23) / 5) * (11))
B = 59.27 degrees
Rounding off we have:
B = 59.3 degrees
Answer:
C. 59.3 °
Challenger Elementary School has 8 0 0 800800 students. Every Wednesday, 1 2 % 12%12, percent of the students stay after school for Chess Club. How many students attend Chess Club on Wednesdays?
Answers
To find a percent of a number, multiply the percent by the number.
Change the percent into a decimal by dividing the percent by 100 (move the decimal point of the percent two places to the left.)
12% of 800 =
= 12% * 800
= 0.12 * 800
= 96
Answer: 96 students
Which equation is NOT true?
A. 15x + 55 = 6x + 4x
B. 15x + 55 = 26x
C. 25x + 55 = 180
D. m ∠S = 6x + 4x
Answers
Answer:
C
Step-by-step explanation:
Answer:
A. 15x + 55 = 6x + 4x
Step-by-step explanation:
Process of elimination the rest are true so this one is not. The angles of one side are supplementary with these angles which means they are not congruent.
WILL GET BRAINLIEST
Which does NOT represent the interior angle measures of a triangle? A.5°, 75°, 100°B.10°, 80°, 90°C.20°, 60°, 100°D.45°, 45°, 45°E.50°, 50°, 80°
Answers
5° + 75°+ 100° = 180°
10°+ 80°+ 90° = 180°
20° + 60° + 100° = 180°
45° + 45° + 45° = 135°
50° + 50° + 80° = 180°
So D does not represent interior angle measures of a triangle.
Hope this Helps!!
A helicopter hovers 950 over......
Answers
tan 44 = d/950
0.01770469927 (I used a calculator to solve tan 44, so let's just use to the nearest hundredth)
0.02 = d/950
100d = 1900
isolate d:
d = 19
19 feet
You have to assume that P is on the coast.
You also have to assume that d and the horizontal dotted line defining the 46 degrees are parallel.
Givens
The angle of depression = 46 degrees
The height of the helicopter = 950 feet.
Formula
height helicopter / d = Tan(46)
The thing is that the angle of elevation from P forms an angle with the angle of depression that made 2 alternate interior angles which are equal when two parallel lines and a traversal are given.
The line connecting P and the helicopter is the traversal.
Solution
height of helicopter = 950
d = ??
angle = 46o
Tan(46) = 950/d
d = 950 / tan(46)
d = 950 / 1.03553
d = 917 feet from the island to P <<<<<< answer
Consider the following graph of a piecewise-defined function.
When x<-2, f(x)=
A: -3
B: 5
C: 2
When -2
A: x+2
B: 2x+2
C: 2x
When x>3, f(x)=
A: -3
B: 5
C: 2
Answers
a] When x<-2, the value of f(x) will be f(x)=5
Answer: B:5
b] when x≥3, the value of f(x) will be f(x)=-3
Answer: A: -3
Answer:
When x<-2, f(x) = 5
When -2<x<3, f(x)= 2x+2
When x>3, f(x)= -3
Step-by-step explanation:
I really need this answer to be correct
Answers
if
11,15,21,22,23,27,30 before 22 is the median
if
11,15,21,22,23,27,30 after 22 is still the median
The median is unchanged
The monthly rent of Marilyn's house went from $500 to $400, if p is the percent decrease in the rent, which proportion can be used to calculate p?
Answers
Answer:
D
Step-by-step explanation:
doing the test right now
Find the slope of the line on the graph
Answers
(-4,0) and (0,3)
slope = change in y / change in x
slope = 3-0 / 0 - -4
slope = 3/4
Write a quadratic equation whose solutions are 2i and -2i.
Answers
Answer:
answer= 2i
Step-by-step explanation:
Please help due tomorrow! Math
Answers
7,9,11,..
This is an arithmetic sequence which follows an explicit formula given by:
an=a+(n-1)d
where:
a=first term
d=common difference
but
a=7 and d=9-7=2
thus
an=7+(n-1)2
an=7+2n-2
an=2n-5
Thus the number of seats in nth row is:
an=2n-5
15 is 10 % of what number
Answers
15*10=150
15 is 10% of 150
What is the value of x
Answers
We observe that the triagnules have three equal angles.
Therefore, to find the value of x we can use the following relationship:
[tex]x / 15 = 5/12 [/tex]
Clearing x we have:
[tex]x = (5/12) * (15) x = 6.25[/tex]
Answer:
The value of x is given by:
x = 6.25
If the sum of two numbers is 20 and one of those numbers is three times the other, what is the smaller number?
Answers
y = bigger number
y = 3x
x+y = 20
x+3x = 20
4x = 20
x = 5
The smaller number is 5.
10. simplify the rational expression by rationalizing the denominator.( 1 point ) 4√150/√189x
Answers
[tex]\bf \cfrac{4\sqrt{150}}{\sqrt{189x}}\cdot \cfrac{\sqrt{189x}}{\sqrt{189x}}\implies \cfrac{4\sqrt{150}\sqrt{189x}}{(\sqrt{189x})^2}\implies \cfrac{4\sqrt{(150)({189x})}}{189x}[/tex]
[tex]\bf \cfrac{4\sqrt{28350x}}{189x}\qquad \begin{cases} 28350=2\cdot 3\cdot 3\cdot 3\cdot 3\cdot 5\cdot 5\cdot 7\\ \qquad 2\cdot 3^2\cdot 3^2\cdot 5^2\cdot 7\\ \qquad 2\cdot (3^2)^2\cdot 5^2\cdot 7\\ \qquad 2\cdot (3^2\cdot 5)^2\cdot 7\\ \qquad 2\cdot (45)^2\cdot 7\\ \qquad 14\cdot 45^2 \end{cases}\implies \cfrac{4\sqrt{14\cdot 45^2}}{189x} \\\\\\ \cfrac{4\cdot 45\sqrt{14}}{189}\implies \cfrac{180\sqrt{14}}{189x}\implies \cfrac{20\sqrt{14}}{21x}[/tex]
Sin (2x -9)= Cos (x +30) to solve for x
Answers
f(x) = sin(2x -9°) -cos(x +30°)
in the range 0° ≤ x ≤ 360°
Solutions are x ∈ {23°, 129°, 143°, 263°).
_____
You can make use of a couple of trig identities to rearrange this equation.
cos(x) = sin(x+90°)
sin(a) -sin(b) = 2*cos((a+b)/2)*sin((a-b)/2)
So
sin(2x -9°) -sin(x +120°) = 2*cos((3x +111°)/2)*sin((x -129°)/2) = 0
The cosine factor will be zero for
(3x +111°)/2 = n*180° +90°
3x -69° = n*360°
x = 23° +n*120° . . . . . . for any integer n
The sine factor will be zero for
(x -129°)/2 = n*180°
x = 129° +n*360° . . . . . for any integer n
Combined, these solutions give the ones listed above in the range 0..360°.
Which ordered pair is a solution of y = x + 12?
(24, 12)
(9, 21)
(–12, –24)
(0, –12)
Answers
Which answer best describes the shape of this distribution?
Answers
i believe im am not 100% sure tho
What is the y-intercept of the line whose equation is y = x - 3?
Answers
Answer:
-3
Hope this helps! Please mark as brainliest.
I need help
Simplify 4z2 + z2 + 6a.
4z2 + 7a
5z2 + 6a
3z2 + 6a
11az2
Answers
This is because there is an imaginary 1 in front of the second term that you have to remember to use when combining like terms.
The Nichols family consists of 8 children and 2 adults. The family minivan can safely transport a total of 7 family members, including an adult driver.
Which number line illustrates the capacity of the Nichols minivan as an inequality?
Answers
x: number of people who will use the family minivan.
We have then:
"The family minivan can safely transport a total of 7 family members, including an adult driver":
x <= 7
Answer:
x <= 7
A number line that illustrates the capacity of the Nichols minivan as an inequality is:
option C)
Item 11 Solve y=4x+8x for x.
Answers
To solve the equation y = 4x + 8x for x, isolate x by combining like terms on the right side and dividing both sides by 12. The solution is x = y/12.
Explanation:To solve the equation y = 4x + 8x for x, we need to isolate x on one side of the equation.
We can start by combining the like terms on the right side:
12x = y
To find the value of x, divide both sides of the equation by 12:
x = y/12
So the solution to the equation is x = y/12.
To solve the equation y = 4x + 8x for x, combine like terms to get y = 12x and then divide both sides by 12 to find x = y/12.
Explanation:The student's question requires us to solve the given equation for x. The original equation provided is y = 4x + 8x. To solve for x, we first combine like terms on the right side of the equation.
Combine like terms: y = 4x + 8x becomes y = 12x.Divide both sides of the equation by 12 to isolate x: x = y/12.The solution for x is x = y/12. This is a straightforward algebraic manipulation that involves combining like terms and using division to solve for the unknown variable.
Let logba=3 logbc=2 logbd=5 what is the value of logba^3d^4/c^2
Answers
[tex]\log_ba=3;\ \log_bc=2;\ \log_bd=5[/tex]
[tex]\log_b\dfrac{a^3d^4}{c^2}=\log_b(a^3d^4)-\log_bc^2=\log_ba^3+\log_bd^4-\log_bc^2\\\\=3\log_ba+4\log_bd-2\log_bc=3\cdot3+4\cdot5-2\cdot2=9+20-4=25[/tex]
Answer:
25
Step-by-step explanation:
please help asap 48 pts
Answers
-2y multiplied by -2y = 4y^2
3x Times 5x = 15x^2
3x Times -2y = -6xy
-2y times 5x = -10xy
-6xy plus -10xy = -16xy
Select ALL the expressions that are equivalent to the polynomial below.
(4x+5)(-3x-1)
(-16x^2 + 10x - 3) + (4x^2 - 29x - 2)
3(x - 5) - 2(6x^2 + 9x + 5)
2(x - 1) - 3(4x^2 + 7x + 1)
(2x^2 - 11x - 9) - (14x^2 + 8x - 4)
(-15x^2 + 9x - 10) + (3x^2 - 10x - 5)
(4x^2 - 13x - 7) - (16x^2 + 9x - 5)
Answers
(4x + 5) (- 3x-1)
Rewriting we have:
-12x ^ 2 - 4x - 15x - 5
-12x ^ 2 - 19x - 5
The equivalent polynomials for this case are given by:
(-16x ^ 2 + 10x - 3) + (4x ^ 2 - 29x - 2)
2 (x - 1) - 3 (4x ^ 2 + 7x + 1)
(2x ^ 2 - 11x - 9) - (14x ^ 2 + 8x - 4)
Answer:
(-16x ^ 2 + 10x - 3) + (4x ^ 2 - 29x - 2)
2 (x - 1) - 3 (4x ^ 2 + 7x + 1)
(2x ^ 2 - 11x - 9) - (14x ^ 2 + 8x - 4)
the bottle of water contains 32 fluid ounces of water. How many cups of water are in a bottle.
Answers
Divide 32 by 8 = 4.
There are 4 cups of water in a bottle.
There are 4 cups of water in a bottle containing 32 fluid ounces.
We have,
The number of cups in a bottle of water depends on the conversion rate from fluid ounces to cups.
1 cup is equivalent to 8 fluid ounces.
To find the number of cups in a bottle containing 32 fluid ounces of water, we can divide the total number of fluid ounces by the conversion rate:
So,
= 32 fluid ounces / 8 fluid ounces per cup
= 4 cups
Therefore,
There are 4 cups of water in a bottle containing 32 fluid ounces.
Learn more about unit conversion here:
https://brainly.com/question/13899873
#SPJ6