Evaluate the following functions.
Write your answers as integers or reduced fractions
f(x)=3x2−xf (x)=3x2-x f(−4)f(-4)=
Answers
Functions are written in terms of variables. The value of the function given if x = -4 is 50
Functions and valuesFunctions are written in terms of variables. Given the function shown;
f(x) = 3x^2 - x
If the value of x is -4, hence;
f(-4) = 3(-4)^2 - (-2)
f(-4) = 3(16) + 2
f(-4) =48 + 2
f(-4) = 50
Hence the value of the function given if x = -4 is 50
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Related Questions
In a rectangular prism, given a base area of 64 cm2 and a
height of 7.2 cm, what would be the volume of the
figure?
Answers
Answer:
46.8 cm^3
Step-by-step explanation:
1. The population of a town was 112 in 2014. The population doubles every year.
(a) Use the exponential growth model to write an equation that estimates the population t years after 2014.
(b) Estimate the population of the town in 2023.
Show your work.
Answer:
Answers
Answer: 2048
Step-by-step explanation: 1. Write the exponential growth model.
The population of the town doubles every year, so the growth factor is 2. The initial population is 112, so the equation is: P(t) = 112(2)^t where P(t) is the population in year t and t is the number of years since 2014.
2. Estimate the population of the town in 2023. To estimate the population of the town in 2023, we can set t=9, since 2023 is 9 years after 2014. Plugging this into the equation, we get: P(9) = 112(2)^9 = 2048
Therefore, the estimated population of the town in 2023 is 2048.
Find the surface area of a rectangular prism with a height of 6 inches, a width of 7 inches, and a length of 13 inches.
Answers
Answer:
A fast and easy surface area of a rectangular prism calculator to find just what its name suggests.
Step-by-step explanation:
l=13in
w=7
h=6
A=422in squared
What is the third step in sketching the graph of a rational function
Answers
Answer:
use test numbers to find where the function is a positive and where it is negative. sketch the function's graph, plotting additional points as guides as negative. choose test numbers to t the left and right of each of these places, and find the value of the function at each test number.
60ft by 60ft wall and a mirror that’s 60ft by 20ft the mirror covers wat percent of the wall?
Answers
Answer:
okay, so we have a wall that is 60 ft. The area of the wall because the wall is a square is just side squared. So the area of the wall is \(60^{2}\), which is 30 600 square feet. The mirror is 20 ft by 60 ft. So the area of the mirror, because its a rectangle is length times width, so that's 20 a 60 so 20 x 60 is gonna give me 1200 square feet. So if we take the area of the mirror and put that over the area, the wall we get 1200 over 30 600, which reduces to one over three. So the mirror is one third the area of the wall.
Step-by-step explanation:
Which term can be added to the list so that the greatest common factor of the three terms is 12h3?
36h3, 12h6, __________
Answers
The term that can be added to the list so that the greatest common factor of the three terms 12h3 36h3, 12h6, is 48h5
How can the term be known?A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.
The term that can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12 without any fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.
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HELP ME. I HATE MATH DUDE.
Answers
Determine all minors and cofactors of the matrix A given below (5)
2 −1 1 3
0 1 1 3
2 1 1 0
2 0 −1 −2
Answers
A minor of a matrix A is the determinant of some smaller square matrix, cut down from A by removing one or more of its rows and columns.
E.g the minor for a_11 is the matrix
1 1 3
1 1 0
0 -1 -2
The cofactor of an element is the minor but a factor, with that factor being (-1)^(i+j) where i and j are the row and column of the element
How many 20kobo make up #20
Answers
Answer:
100
Step-by-step explanation:
#20 naira - 20 * 100
= 2000kobo
2000/20
100
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72x2 + 39x + 207 = 0
Answers
Hope this helped:)
Write a two column proof (Given: x is the midpoint of WY and VZ) (Prove: VW=ZY)
Answers
Bruce and Felicia would have a unique solution to the given equation. The value of x that satisfies the equation is 15.
To determine if the equation 6x + 2 = 5x + 17 has a unique solution, we need to check if the variable x has a consistent value that satisfies the equation.
By simplifying the equation, we can see that the equation becomes:
6x - 5x = 17 - 2
Simplifying further, we have:
x = 15
Since the variable x has a specific value, in this case, x = 15, the equation does have a unique solution. When x is substituted with 15 in the equation, both sides are equal.
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How do Dr. Livesey and Mr. Trelawney react to the map in chapters 4-6 of Treasure Island?
A. They are giddy and filled with delight.
B. They are confused and filled with wonder.
C. They are unimpressed and filled with doubt that it is real.
D. They are frightened and filled with terror.
Answers
In sections 4-6 of Treasure Island, C. describes how Dr. Livesey and Mr. Trelawney respond to the chart. People are disappointed and overwhelmed with skepticism about its authenticity.
In the novel Treasure Island, who is Dr. Livesey?Throughout Treasure Island, Dr. Livesey, a physician and judge, acts as the narrative's only sane figure. He is bold and straightforward enough already to start standing up to his pals and also the most infamous thieves.
here, we have,
What else does Dr. Livesey look like in Treasure Island?
Dr. Livesey describes oneself via deeds rather than being characterized by Stevenson. He possesses the traits that outweigh the cleverness and cruelty of his fearsome foe Silver: intelligence, bravery, and coolness.
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if f(x)=-x^2 and g(x) = -x^2+4x+5 what is the product
Answers
Answer:
\(x^{4}\) - 4x³ - 5x²
Step-by-step explanation:
-x²(-x² + 4x + 5) Distribute
\(x^{4}\) - 4x³ - 5x²
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Help Quickly!Which of these questions is a biased question?
A. Do you exercise regularly?
B. Do you take a daily multi-vitamin to supplement your diet?
C. Do you feel that the TV news is a sensational portrayal of life’s problems?
D. Do you prefer fruits or vegetables?
Answers
The biased question is C. "Do you feel that the TV news is a sensational portrayal of life’s problems?" because it contains a value judgment ("sensational portrayal") that may lead the respondent to answer in a particular way. It suggests that the TV news is overly dramatic or exaggerated in its coverage of issues, which may not be a belief held by all respondents. The other questions (A, B, and D) do not contain value judgments and are more straightforward in nature.
A skier skis along a circular ski trail that has a radius of 1.7 km. The skier starts at the East side of the ski trail and travels in the CCW direction. Let θ represent the radian measure of the angle the skier has swept out.
a) Write an expression (in terms of θ) to represent the skier's distance to the East of the center of the ski trail (in km).
b) Write an expression (in terms of θ) to represent the skier's distance to the North of the center of the ski trail (in km).
Answers
The skier's distance to the east of the center of the ski trail is
x = 1.25cosθ
The skier's distance to the north of the center of the ski trail is
y = 1.25sinθ
When radius 'r' and the angle θ are given, the coordinates (x,y) as shown
x = east direction
y = north direction
In this case we get,
x = r cosθ
y = r sinθ
Given r = 1.25 km
We get,
x = 1.25 cosθ in east direction
y = 1.25 sinθ in north direction
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The graph of the absolute value parent function, f(x) = Ixl, is stretched
horizontally by a factor of 5 to create the graph of g(x). What function is g(x)?
Answers
Answer: \(g(x)=\left|\frac{x}{5} \right|\)
Step-by-step explanation:
See atached image.
In a farm, 2/3 is used for growing vegetables. Potatoes' are grown on 1/4 of this portion. What fraction of the total farm area is used to grow potatoes?
Answers
The fraction of the total farm area is used to grow potatoes in its simplest form is 1/6.
What fraction of the total farm area is used to grow potatoes?Fraction of farm used in growing vegetables = 2/3
Fraction of farm used to grow potatoes = 1/4 of Fraction of farm used in growing vegetables
Fraction of the total farm area is used to grow potatoes = 1/4 × 2/3
= 2/12
= 1/6
Ultimately, 1/6 is the fraction of the total farm area used to grow potatoes.
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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answers
Answer
Measure the shape yourself and follow the explanation.
Step-by-step explanation:
Measure each side of the Triangles with your ruler. Record it.
For example,
I measured and got 3cm, 3.5cm, 3.5cm.
Multiply by scale factor r 2.
for example, 3cm × 2 = 6cm
3.5cm × 2 = 7.0cm
3.5cm × 2 = 7.0cm
Use your pencil to draw your new numbers to form the new Triangle.
As for the second shape, measure each four sides using ruler
for example, I measured and had 4cm, 6cm, 4cm, 6m.
Multiply by scale factor r 2.
for example, 4cm × 1/4 = 1 cm
6cm × 1/4 = 1.5cm
4cm × 1/4 = 1 cm
6cm × 1/4 = 1.5cm
Use your ruler to measure 1cm, 1.5cm, 1cm and 1.5cm, then to draw your new shape
A dairy farmer wants to mix 35% protein supplement in a standard 10% protein ration to make 1300 pounds of high grades 25% protein ration how many pounds of each should he use
Answers
Answer:
Therefore, you need 2600 pounds of 35% supplement and 1300 - 2600 = -1300 pounds of 10% ration.
Step-by-step explanation:
The unknown variable is x, which is the amount of 35% supplement needed. The other expressions are derived from the given information and the fact that the total amount of solution is 1300 pounds.
The equation from the fourth column is:
0.35x + 0.10(1300 - x) = 0.25(1300)
Solving for x, we get:
x = (0.25(1300) - 0.10(1300)) / (0.35 - 0.10) x = 650 / 0.25 x = 2600
1. Leonardo da Vinci asserted that a person's height is proportional to the length of the
person's palm. Don's palm is 5 centimeters in length and he is 120 centimeters tall. Mateo's
palm is 7.5 centimeters in length. Assuming that da Vinci's theory is correct, how tall, in
centimeters, is Mateo?
Answers
Answer:
120 : 5 = 24 suy ra 24 x 7,5 = 180
Step-by-step explanation:
An arrow is shot from 3 ft above the top of a hill with a vertical upward velocity of 108 ft/s. If it strikes the plain below after 9.5 s, how high is the hill?
If the arrow is launched at t0, then write an equation describing velocity as a function of time?
Answers
The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),
To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:
h = h0 + v0t + 1/2at^2
where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).
In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.
At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:
v = v0 + at
we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:
0 = 108 - 32.2t
t = 108/32.2 ≈ 3.35 s
Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.
Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:
h_hill = h0 + v0t + 1/2at^2 - h_top
where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:
h_top = h0 + v0^2/2a
Plugging in the given values, we get:
h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft
Plugging this into the first equation, we get:
h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78
h_hill ≈ 25.73 ft
If the arrow is launched at t0, the equation describing velocity as a function of time would be:
v(t) = v0 - gt
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Which expression is equival 81 1/3?
Answers
Answer: 3^3 Square root 3
Step-by-step explanation:
what are you guys studying?
Answers
Answer:
im study about history it was my favourite subject!
Angle ADB and CD are straight lines. angle ADC = 5 x angle CDB Work out the size of angle ADC.
Answers
Answer:
Step-by-step explanation:
Body surface area is calculated a) in m2 from weight and height. b) from height. c) from weight. d) in meters from weight and height.
Answers
Answer:
Body surface area is calculated a) in m2 from weight and height.
Step-by-step explanation:
Basically the surface has to be in m2, because you have two dimensions when you multiply: e.g. when you have a lawn 10m x 10m, then you multiply 10 times 10, and meters times meters, so
\(10m * 10m = 100m^2\)
Select all ratios equivalent to 1:4.
5:20
Submit
3:12
14:16
Answers
Answer:
5:20
3:12
Step-by-step explanation:
Select all ratios equivalent to 1:4
5:20
Simplify by 5 and get the ratio
1:4
3:12
Simplify by 3 and get the ratio
1:4
I’ll give points + brainalist (:
Answers
Answer:
The right answer to the question is b
Answer:
B \(x \leq 1\)
Step-by-step explanation:
Isolate the x.
\(-5x + 10 \geq 5\\-5x \geq -5\\x \leq 1\)
The \(\geq\) sign flipped to \(\leq\) , because you're dividing with a negative number.
-1000 2/3 is not real fraction. True or false
Answers
True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.
The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.
In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.
To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.
It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.
In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.
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Una sala de cine de New York vende las entradas para niños a 3 dólares y las de los adultos a 5 dólares. Si para ver una película pueden ingresar tanto niños como adultos y en un día
ingresan 345 espectadores, recaudando por concepto de venta de boletas 1365 dólares. Se
puede afirmar que el número de niños y adultos que ingresaron fue:
Answers
A la sala de cine ingresaron 180 niños y 165 adultos.
¿Cuántos niños y adultos ingresaron a una sala de cine?
De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:
3 · x + 5 · (345 - x) = 1365
Donde x es el número de niños que asistieron a la sala de cine.
Ahora despejamos la variable correspondiente mediante propiedades algebraicas:
3 · x + 1725 - 5 · x = 1365
1725 - 2 · x = 1365
2 · x = 1725 - 1365
2 · x = 360
x = 180
Ahora, el número de adultos es:
y = 345 - 180
y = 165
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April buys soil for her flowerpots. she uses 9 kilograms of soil for her violets and 4 kilograms of soil for her tulips. she has 3,000 grams of soil left for some daisies (1 kilogram = 1,000 grams) use the drop down menus to show how much soil she bought
Answers
April bought 16 kilograms of soil in total.
To show how much soil April bought
We need to add the amounts of soil she used for her violets and tulips. Since April used kilograms for violets and tulips, we need to convert the 3,000 grams to kilograms before we can add them up.
April bought:
9 kilograms of soil for violets
4 kilograms of soil for tulips
3 kilograms of soil for daisies (since 3,000 grams is 3 kilograms)
Therefore, April bought 16 kilograms of soil in total.
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