Answer:
The answer is option C
Step-by-step explanation:
f(x) = x³ + 2x² + 3x + 4
To find f(-1) substitute the value of x that's
- 1 into f(x)
That's
[tex]f( - 1) = ({ - 1})^{3} + 2 ({ - 1})^{2} + 3( - 1) + 4 \\ = - 1 + 2(1) - 3 + 4 \\ = - 1 + 2 - 3 + 4 \\ = 1 - 3 + 4[/tex]We have the final answer as
[tex]f( - 1) = 2[/tex]Hope this helps you
If the m<5 = 63 degrees, find the measure of <3
Answer: 117?
Step-by-step explanation:
Multiply and write your answer in scientific notation.
(4 10%)(2 x 10-5)
Answer:
Here mate!
Step-by-step explanation:
Enter numbers, scientific notation or E notation.
Scientific Notation: 3.45 x 10^5
E Notation: 3.45e5
HOPE IT HELPS AND IS CORRECT!
f(x) = x2 -2x & g(x) = 12-8x.
Find f(2) - g(3)
=========================================
Work Shown:
f(x) = x^2 - 2x
f(2) = 2^2 - 2*2 ... replace every x with 2
f(2) = 4 - 4
f(2) = 0
----------------------------
g(x) = 12-8x
g(3) = 12-8*3 ... replace every x with 3
g(3) = 12-24
g(3) = -24
----------------------------
Subtract the results of the previous two sections
f(2) - g(3) = 0 - (-24)
f(2) - g(3) = 0 + 24
f(2) - g(3) = 24
Porfabor necesito ayuda en la esta pregunta. ¿Encuentra cuatro pares ordenados de la siguiente función? f(x) = X3 – 2X2 – 2
Answer:
(0, -2), (1, -3), (2, -2) y (3, 7) son pares ordenados de [tex]f(x) = x^{3}-2\cdot x^{2}-2[/tex].
Step-by-step explanation:
Un par ordenado es un elemento de la forma [tex](x,f(x))[/tex], donde [tex]x[/tex] es un elemento del dominio de la función, mientras [tex]f(x)[/tex] es la imagen de la función evaluada en [tex]x[/tex]. Entonces, un par ordenado que está contenido en la citada función debe satisfacer la siguiente condición:
La imagen de la función existe para un elemento dado del dominio. Esto es:
[tex]x \rightarrow f(x)[/tex]
Dado que [tex]f(x)[/tex] es una función polinómica, existe una imagen para todo elemento [tex]x[/tex]. Ahora, se eligen elementos arbitrarios del dominio para determinar sus imágenes respectivas:
x = 0
[tex]f(0) = 0^{3}-2\cdot (0)^{2}-2[/tex]
[tex]f(0) = -2[/tex]
(0, -2) es un par ordenado de [tex]f(x) = x^{3}-2\cdot x^{2}-2[/tex].
x = 1
[tex]f(1) = 1^{3}-2\cdot (1)^{2}-2[/tex]
[tex]f(1) = -3[/tex]
(1, -3) es un par ordenado de [tex]f(x) = x^{3}-2\cdot x^{2}-2[/tex].
x = 2
[tex]f(2) = 2^{3}-2\cdot (2)^{2}-2[/tex]
[tex]f(2) = -2[/tex]
(2, -2) es un par ordenado de [tex]f(x) = x^{3}-2\cdot x^{2}-2[/tex].
x = 3
[tex]f(3) = 3^{3}-2\cdot (3)^{2}-2[/tex]
[tex]f(3) = 7[/tex]
(3, 7) es un par ordenado de [tex]f(x) = x^{3}-2\cdot x^{2}-2[/tex].
(0, -2), (1, -3), (2, -2) y (3, 7) son pares ordenados de [tex]f(x) = x^{3}-2\cdot x^{2}-2[/tex].
Which set of points does NOT represent a function?
A) (-2, 1), (6,3), (5, 1), (-4,6)
B) (-7,3), (1, 2), (5,3), (-7,2)
C) (-4,-3), (-1, 2), (0,5), (3, 2)
D) (-5, -1), (-2, -1), (1, -1), (4, -1)
Answer:
B.
Step-by-step explanation:
The X-Values cannot repeat in a function.
Match each function name with its equation.
(Look at picture)
Answer:
a. square root is y = [tex]\sqrt{x}[/tex]
b. linear is y = x
c. cubic is [tex]y = x^3[/tex]
d. quadratic is [tex]y = x^2[/tex]
e. reciprocal squared is [tex]y = \frac{1}{x^2}[/tex]
f. absolute value is y = |x|
g. reciprocal is [tex]y = \frac{1}{x}[/tex]
h. cube root is [tex]y = \sqrt[3]{x}[/tex]
Step-by-step explanation:
h(t)= (t+3)^2 + 5
What is the average rate of change of h over the interval -5 < t < -1?
Answer:
The average rate of change for the given function in the interval (-5, -1) is 0 (zero)
Step-by-step explanation:
The average rate of change of a function over an interval is the quotient between the difference between the function evaluated at the ends of the interval divided by the length of the interval. That is for our case:
the average rte of change of h(t) in the interval (-5, -1) is:
[tex]\frac{h(-1)-h(-5)}{-1+5}[/tex]
so we find:
[tex]h(-1)=(-1+3)^2+5=2^2+5=4+5=9\\and\\h(-5)=(-5+3)^2+5=(-2)^2+5=4+5=9[/tex]
then the average rate of change becomes:
[tex]\frac{h(-1)-h(-5)}{-1+5}=\frac{9-9}{4} =\frac{0}{4} =0[/tex]
Can I get some Help please
Answer:
f(-2) = 2
Step-by-step explanation:
The question is asking for the y-value of the point located at x = -2 on the graph. The point is at (-2, 2), so f(-2) = 2.
Red kangaroos can reach speeds up to 50 feet per second. Use the linear graph at the left to answer the questions. What is the change in y-values from Point A to Point B? What is the change in x-values from Point A to Point B? What is the rate of change of the linear function? feet per second
Answer:
What is the change in y-values from
Point A to Point B?
50
What is the change in x-values from
Point A to Point B?
1
What is the rate of change of the linear function?
50
feet per second
Step-by-step explanation:
The change in y-values from Point A to Point B is from 0 to 50feet. What is the change in x-values from Point A to Point B is 0 to 1 second. Rate of change of the linear function is given by y = 50x (feet per second).
What is linear function?" Linear function is defined as the algebraic expression which represents the relation between the variables with highest exponent equals to 1."
Formula used
[tex]\frac{y-y_{1} }{x-x_{1} } =\frac{y_{2} -y_{1}}{x_{2} -x_{1}}[/tex]
According to the question,
Given,
Speed of Red kangaroos can reach = 50 feet per second
Number of feet represent by y - axis
Time represent by x-axis
When
[tex]x_{1} = 0 seconds \\\\y_{1} = 0 feet[/tex]
When
[tex]x_{2} = 1 seconds \\\\y_{2} = 50 feet[/tex]
Change in y-values from point A to B is given by [tex](y_{1}, y_{2} ) = (0,50)[/tex]
Change in x-values from point A to B is given by [tex](x_{1}, x_{2} ) = (0,1)[/tex]
Rate of change of the linear function
[tex]\frac{y-0 }{x-0 } =\frac{50-0}{1-0}[/tex]
⇒[tex]y= 50x[/tex]
Hence, the change in y-values from Point A to Point B is from 0 to 50feet. What is the change in x-values from Point A to Point B is 0 to 1 second. Rate of change of the linear function is given by y = 50x (feet per second).
Learn more about linear function here
https://brainly.com/question/21107621
#SPJ3
Help someone plzzzz!!!!
Answer:
G.
hope this explanation helps
Step-by-step explanation:
Nadia is mountain climbing. She started at an altitude of 19.26 feet below sea level and then changed her altitude by climbing a total of 5,437.8 feet up from her initial position. What was Nadia's altitude at the end of her climb?
Answer:
5,418.2 feet
Step-by-step explanation:
Nadia is carrying out mountain climbing.
She started climbing the mountain at an altitude of 19.26 feet below the sea level.
Nadia changed her altitude by climbing a total of 5,437.8 feet from her starting position.
Therefore, Nadia's altitude at the end of her climb can be calculated as follows
= 5,437.8-19.6
= 5,418.2
Hence Maria's altitude at the end of her climb is 5,418.2 feet
Answer:
5,418.2 feet
Step-by-step explanation:
I'VE BEEN STUCK ON THIS .... Find the volume of this triangular pyramid Volume = 1/3(Area of Base)(Height) Enter only the numerical part of your answer in cubic units.
Answer:
[tex]96ft^{3}[/tex]
Step-by-step explanation:
Step 1: Find area of base
[tex]\frac{bh}{2}=\frac{(6)(8)}{2} =\frac{48}{2}=24ft^{2}[/tex]
Step 2: Find Volume
[tex]V=\frac{1}{3} (24)12\\V=\frac{1}{3} (288)\\V=96ft^{3}[/tex]
Therefore the volume of the triangular pyramid is [tex]96ft^{3}[/tex]
The volume of the triangular pyramid will be 96 cubic feet.
What is the volume of the pyramid?Let h be the height of the pyramid, l be the slant height and A be the base area of the pyramid.
Then the volume of the pyramid will be
Volume = (1/3) × A × h
The base area of the triangular pyramid is calculated as,
A = 1/2 x 6 x 8
A = 3 x 8
A = 24 square feet
Then the volume of the triangular pyramid is calculated as,
V = 1/3 x 24 x 12
V = 8 x 12
V = 96 cubic feet
The volume of the triangular pyramid will be 96 cubic feet.
More about the volume of the pyramid link is given below.
https://brainly.com/question/17615619
#SPJ2
A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 4, 5. Column 2 is labeled y with entries 15, 30, 60, 75. Does this table represent a proportional relationship? 1,15 2,30 4,60 5,75 please answer this question quickly please and thank you
Answer:
The table represents a proportional relationship
Step-by-step explanation:
Given
x ------ y
1 ------- 15
2 --------30
4 ---------60
5 -------- 75
Required
Determine if the table shows a proportional relationship
To check this, we make use of the following formula;
[tex]k = \frac{y}{x}[/tex]
Where k is the proportionality constant
When x = 1, y = 15
[tex]k = \frac{15}{1} = 15[/tex]
When x = 2, y = 30
[tex]k = \frac{30}{2} = 15[/tex]
When x = 4, y = 60
[tex]k = \frac{60}{4} = 15[/tex]
When x = 5, y = 75
[tex]k = \frac{75}{5} = 15[/tex]
Since the value of k for all values of x and y is the same; i.e. 15
Then, the table represents a proportional relationship
Quick Answer: $5.86
Step-by-step explanation:
Hope it helps!! :)
41. Find the area of the triangle.
a. 30 yd
b. 45 yd
c. 28 yd
d. 60 yd
Answer:
D
Step-by-step explanation:
Area is found by LxWxH
Answer:
30yd^2Step-by-step explanation:
[tex]Base = 10yd\\Height = 6yd\\\\Area = \frac{1}{2} \times base \times height\\\\A= \frac{1}{2} \times 10 \times 6\\\\A = \frac{60}{2} = \\\\30yd^2[/tex]
SOMEONE HELP PLZ ASAP!!!!!
Answer:
a)A=53
b)A=42.68
c)A=60
A roller coaster accelerates from an initial speed of 6.0 m/s to a final speed of 70 m/s over 4 seconds. What's the acceleration?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{16 \: m/ {s} \: ^{2} }}}}}[/tex]Step-by-step explanation:
Given,
Initial velocity ( u ) = 6 m/s
Final velocity ( v ) = 70 m/s
Time ( t ) = 4 seconds
Acceleration ( a ) = ?
Finding the acceleration
We know that,
[tex] \boxed{\sf{acceleration = \frac{v - u}{t} }}[/tex]
⇒[tex] \sf{ \frac{70 - 6}{4} }[/tex]
⇒[tex] \sf{ \frac{64}{4} }[/tex]
⇒[tex] \sf{16 \: m/ {s}^{2} }[/tex]
Hope I helped!
Best regards!
PLEASE HELP, I DONT UNDERSTAND THIS.....Michael is laying carpet in a perfectly rectangular hall. The area of the hall is 240 square feet, and the width of the hall is 6 feet. How long is the hall?
Answer:
40 feet
Step-by-step explanation:
We know that the area of a rectangle is represented as [tex]lw=a[/tex], where l is the length and w is the width.
We already know the width, and we know the area, so we can plug these values into the equation.
[tex]l\cdot 6 = 240[/tex]
Our goal is to now isolate the variable l, and to do this we can divide both sides by 6.
[tex](l\cdot6) \div6 = 240\div6\\\\l = 40[/tex]
Hope this helped!
Answer:
l=a/w
Step-by-step explanation:
Length equals area divided by width.
Which expression represents x? – 18x + 81 in factored form?
(x + 9)2
(x + 27)(x – 3)
(x – 9)
(x + 9)(x -9)
1
2
3
4 5
Answer:
[tex](x-9)^{2}[/tex]
Step-by-step explanation:
By factorization, we get ----
[tex]x^{2} -18x+81\\=x^{2} -9x-9x+81\\=x(x-9)-9(x-9)\\=(x-9)(x-9)\\=(x-9)^{2}[/tex]
Can someone please help me, I've been stuck on this since yesterday. Thanks!
Answer:
Since there are no common factors, the only common factor for [tex]\frac{4}{x+5}[/tex] is 1
Practice Sum
If y is inversely proportional to x and y=4 when x=3
i) Express y in terms of X
ii) Find the value of y when x=6
Answer:
I) y = 1/x
ii) y = 1/6
Step-by-step explanation:
inversely proportional just means that the right hand side is the inverse of the left hand side of an equation.
calculate the values of the expression below 2 ( 3 (5 + 2) -1)
Answer:
= 40
Step-by-step explanation:
2 ( 3 (5 + 2) -1)
= 2 * 20
= 40
Answer:
40Step-by-step explanation:
[tex]2\left(3\left(5+2\right)-1\right)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(3\left(5+2\right)-1\right)\:\\\\:\quad 20\\\\=2\times \:20\\\\= 40[/tex]
A road perpendicular to a highway leads to a farmhouse located 2 km away. A car travels pastthe farmhouse on on the highway at a speed of 80 km/h. How fast is the distance between thecar and the farmhouse increasing when the car is 6 km past the intersection of the highwayand the road
Answer:
75.9 km/hr
Step-by-step explanation:
Distance between the highway and farmhouse is given as = 2km = a
The distance after the intersection and the highway = b
Let the distance between the farmhouse and the car = c
Using the Pythagoras Theorem rule
c² = a² + b²
c² = 2² + b²
Step 1
Since distance is involved, time is required. Hence, we differentiate the equation above in respect to time
c² = 2² + b²
dc/dt (2c) = 4 + 2b
dc/dt =[ b/(√b² + 4)] × db/dt
We are told in the question that:
the car travels past the farmhouse on on the highway at a speed of 80 km/h.
We are asked to calculate the speed at which the distance between the car and the farmhouse kept increasing when the car is 6 km past the intersection of the highway and the road.
This calculated using the obtained differentiation above:
dc/dt = [ b/(√b² + 4)] × db/dt
Where b = 6km
db/dt = 80km/hr
[6/(√6² + 4)] × 80km/hr
6/√36 + 4 × 80km/hr
6 × 80/√40
480/√40
= 75.894663844km/hr
Approximately = 75.9km/hr
In this exercise we want to calculate the speed of the vehicle to reach the farm, in this way we will find a speed of approximately:
[tex]75.9 km/hr[/tex]
To start this exercise we have to use some data informed in the text, like this:
Distance: [tex]a=2km[/tex] Distance after the intersection and the highway: [tex]b[/tex] Distance between the farmhouse and the car: [tex]c[/tex] Pythagoras Theorem rule: [tex]c^2 = a^2 + b^2[/tex]
Since distance is involved, time is required. Hence, we differentiate the equation above in respect to time
[tex]c^2 = 2^2 + b^2\\\frac{dc}{dt} (2c) = 4 + 2b\\\frac{dc}{dt} =[ b/(\sqrt{b^2} + 4)] ( \frac{db}{dt})[/tex]
Calculate the speed at which the distance between the car and the farmhouse kept increasing when the car is 6 km past the intersection of the highway and the road. This calculated using the obtained differentiation above:
[tex]\frac{dc}{dt} = [ 6/(\sqrt{6^2} + 4)] (80)\\=6/\sqrt{36} + 4 * 80\\=6 * 80/\sqrt{40} \\=480/\sqrt{40} \\= 75.9km/hr[/tex]
See more about speed at brainly.com/question/312131
Please help I need to them all
Answer:
Step-by-step explanation:
1). 6x + 7 - 18x + 4
= (6x - 18x) + (7 + 4)
= -12x + 11
2). 5x - 7x + 5x + 4 - 9
= (5x + 5x - 7x) + (4 - 9)
= 3x - 5
3). 3x + 8y - 5x + 3y
= (3x - 5x) + (8y + 3y)
= -2x + 11y
4). 17x² - 7x²- 5x + 3x + 14
= (17x² - 7x²) + (-5x + 3x) + 14
= 10x² - 2x + 14
5). 3xy - 9xy - 5x + 4x - 7 + 3
= (3xy - 9xy) + (-5x + 4x) + (-7 + 3)
= -6xy - x - 4
6). 9x + 7y - 15x + 4x - 9y
= (9x - 15x + 4x) + (7y - 9y)
= -2x - 2y
7). 3x + 7 - 5x - 8y + 4x - 2y + 7
= (3x - 5x + 4x) + (-8y - 2y) + 14
= 2x - 10y + 14
8). 3xy - xy + 15x + 4 - 11
= (3xy - xy) + 15x + (4 - 11)
= 2xy + 15x - 7
9). -8x + 3x + 7y - 5x + 4y - 2
= (-8x - 5x + 3x) + (7y + 4y) - 2
= -10x + 11y - 2
10). 3x² + 6x - 3y + 2x - 7
= 3x² + (6x + 2x) - 3y - 7
= 3x² + 8x - 3y - 7
distance between (-1,4) and (1,-1
Answer:
√29 units
Step-by-step explanation:
Find the distance between (-1,4) and (1,-1).
We'll use the Pythagorean Theorem:
The horizontal distance between the two points is 1 - (-1), or 2, and the vertical distance is 4 - (-1), or 5.
Thus, the distance squared is 2^2 + 5^2, or 29, and the distance between the two points is therefore
d = √29 units
2(x-4)+2x=-6x-2 what is the solution
Step-by-step explanation:
hi the answer is x= 3/5
i have added 2 methods of solving it in the above picture. ask me if you have any questions
Answer:
x = 3/5
Step-by-step explanation:
This equation can be solved with algebraic techniques. We will simplify the equation by combining like terms and then use algebraic techniques in order to solve for x.
2(x - 4) + 2x = -6x - 2 Use the distributive property.
2x - 8 + 2x = -6x - 2 Combine like terms (variable terms first).
4x - 8 = -6x - 2 Add 6x to both sides of the equation.
10x - 8 = -2 Add 8 to both sides of the equation.
10x = 6 Divide by 10 on both sides of the equation.
x = 6/10 Simplify the fraction.
x = 3/5
Innea's company's revenue in 201720172017 is \dfrac{36}{25} 25 36 start fraction, 36, divided by, 25, end fraction of its revenue in 201620162016. What is Linnea's company's revenue in 201720172017 as a percent of its revenue in 201620162016 ?
Answer:
144%
Step-by-step explanation:
Complete question below:
Linnea's company's revenue in 2017 is 36/25 of its revenue in 2016. What is Linnea's company's revenue in 2017 as a percent of its revenue in 2016?
Solution
Let
36x= Linnea's company revenue in 2017
25x=Linnea's company revenue in 2016
Percent of Linnea's company's revenue in 2017 as a percent of its revenue in 2016= 36x / 25x × 100
36x / 25x * 100
=1.44 × 100
=144%
Please help :)
If X +9 equals 13, what is the value of X?
Solution:
x+9=13
then,
13-9=4
so the value of x is 4
Answer:
X= 4Step-by-step explanation:
X +9 equals 13
X+9 =13
X=13 - 9
X= 4
[tex]hope \: this \: helps[/tex]
[tex]have \: a \: nice \: life! :) [/tex]
HELP ASAP WILL MARK BRAINLIEST!!!!! The coordinates of point T are (0,3). The midpoint ST of is (1,-5). Find the coordinates of point S. The other endpoint is
Greetings from Brasil...
See the attached chart. The midpoint, M, has 8 units down on the Y axis. So the other half will also have 8 units after that point M. This is also true for the X axis.
Just make the difference between points T and M. For M and S they are the same quantities.
(0; 3) and (1; -5)
X: 1 - 0 = 1 (one unit until mid point)
Y: - 5 - 3 = - 8 (8 units until mid point)
To S:
S(W; Z) M = center point coordinate value
W = M + 1 ⇒ W = 1 + 1 = 2
Z = M - 8 ⇒ Z = - 5 - 8 = - 13
S(2; -13)Can someone please help me
Answer:
never
Step-by-step explanation:
smith will run out by week 2
Answer:
After 17 weeks
Step-by-step explanation:
We can create a system of equations for this problem, where y is the total amount of money in their banks and x is the amount of weeks passed.
Mr. Smith's equation will be [tex]y = 12x+21[/tex].
Mr. Brown's equation will be [tex]y = 10x+55[/tex].
We can now solve for x by using substitution.
Let's substitute Mr. Brown's equation into Mr. Smith's equation.
This get us [tex]10x + 55 = 12x + 21[/tex].
We can now solve for x.
Let's subtract 12x from both sides:
[tex]-2x + 55 = 21[/tex]
And now let's subtract 21 from both sides:
[tex]-2x+34=0[/tex]
Now we subtract 34 from both sides:
[tex]-2x=-34[/tex]
And divide both sides by -2.
[tex]x=17[/tex]
Hope this helped!
What is the third of 45
Answer:
15
Step-by-step explanation:
A third of 45 is 1/3 multiplied by 45 or 45 divided by 3, which is equal to 15.
Answer:
15
Step-by-step explanation:
45 divided by 3 = 15