Which of the following is a parent function?
O A. f(x) = e*
O B. f(x) = 2.34
O x
C. f(x) = x4 +3
O D. f(x) = 2e2x
Answers
Answer:
[tex]f(x) = e^x[/tex]
Step-by-step explanation:
Given
Options (a) to (d)
Required
Which is a parent function
A parent function is such that has a single term without coefficients
From the list of given options
[tex]f(x) = e^x[/tex] suits the above definition
Other options (b) to (d) either have coefficients, or have multiple terms
Related Questions
Given:
f(x) = -4x + 2
g(x) = 2x^2 + 4x - 5
Find:(f + g)(x)
Answers
Answer:
2x^2-3
Step-by-step explanation:
f(x) = -4x + 2
g(x) = 2x^2 + 4x - 5
(f+g)(x) = -4x + 2+ 2x^2 + 4x - 5
Combine like terms
= 2x^2-4x+4x+2-5
=2x^2-3
Answer:
2x ^ 2 - 3
Step-by-step explanation:
f(x) = -4x + 2
g(x) = 2x ^ 2 + 4x - 5
(f + g)(x) = -4x + 2 + 2x ^ 2 + 4x - 5
= 2x ^ 2 - 4x + 4x + 2 - 5
= 2x ^ 2 - 3
Please friends give me the answer with steps .
Answers
b= 20
The 70° angle creates a 140 degree arc. Inscribed angles equal 1/2 of arc created.
The central angle (a) is equal to the arc.
So, angle ‘a’ = 140.
The triangle is isosceles, so the base angles are equal.
180-140=40
40/2 = 20
Can someone please help me?
Answers
Answer:I’m not sure
Step-by-step explanation: try and use the scientific demos
Do any one of them, please help needed
Answers
Answer:
a = -3
Step-by-step explanation:
f(x) = 5x³+4x²+3x-4a
f(-1) = 8
therefore , x = -1
substituting x = -1 in 5x³ + 4x² +3x-4a
5(-1)³ + 4(-1)² + 3(-1) - 4a. = 8
-5 + 4 -3 - 4a = 8
-8 + 4 -4a = 8
-4 - 4a = 8
shifting -4 from LHS to RHS
-4a = 8+4
-4a = 12
[tex] - a = \frac{12}{4} [/tex]
therefore
-a = 3
a = -3
ANS = the value of a = -3
if you r having any queries please comment down and make it brainlist answer if you liked it and hit a like too!!!!!!
The graph of f(x) = |x| is transformed to g(x) = |x + 1| – 7. On which interval is the function decreasing?
(–∞, –7)
(–∞, –1)
(–∞, 1)
(–∞, 7)
Answers
Answer:
(−∞,−1) interval is is the function decreasing..Step-by-step explanation:
Given : The graph of f(x) = |x|f(x)=∣x∣ is transformed to g(x) = |x+1|-7g(x)=∣x+1∣−7To find : On which interval is the function decreasing?Solution :First we plot the graph of both the functions, The graph of f(x) = |x|f(x)=∣x∣ is shown with black line.The graph of g(x) = |x+1|-7g(x)=∣x+1∣−7 is shown with violet line. The graph shows the interval over which it is increasing or decreasing.As we notice it is increasing on the interval (-1,\infty)(−1,∞)Decreasing on (-\infty,-1)(−∞,−1)Therefore, (-\infty,-1)(−∞,−1) interval is the function decreasing. please markse as brainliests please for my effort...The function [tex]g(x) =|x + 1| - 7[/tex] decreases at interval [tex](-\infty, -1)[/tex]
The parent function is given as:
[tex]f(x) =|x|[/tex]
The transformed function is given as:
[tex]g(x) =|x + 1| - 7[/tex]
Both functions are absolute value functions, and an absolute value function is represented as:
[tex]y=a| x-h |+k[/tex]
Where, the vertex of the function is:
[tex]Vertex = (h,k)[/tex]
By comparing [tex]y=a| x-h |+k[/tex] and [tex]g(x) =|x + 1| - 7[/tex], we have:
[tex](h,k) = (-1,-7)[/tex]
[tex]a= 1[/tex]
Because (a) has a positive value (i.e. 1) and (h) is negative, then the vertex represents a minimum.
This also means that, the function will decrease from infinity, till it gets to the x-coordinate of the vertex.
Hence, the function [tex]g(x) =|x + 1| - 7[/tex] decreases at interval [tex](-\infty, -1)[/tex]
Read more about transformation at:
https://brainly.com/question/5757291
What is the product of 2x and 4x2−3xy+y2?
A.6x3−x2y+xy2
B.8x3−6x2y+2xy2
C.2x3−x2y−xy2
D.6x3−5x2y+2xy2
E.−8x3+6x2y−2xy2
Please help
Answers
[tex]\bf \large \rightarrow \: \:2x \: \: ( \: 4 {x}^{2} \: - \: 3xy \: + \: {y}^{2} \: )[/tex]
[tex]\bf \large \rightarrow \: \: 8 {x}^{3} \: - \: 6 {x}^{2}y \: + \: 2x {y}^{2} [/tex]
Option ( B) is the correct answer
instruction Find m<LMN
Answers
Answer:
∠ LMN = 70°
Step-by-step explanation:
The tangent- secant angle LMN is half the difference of the measures of the intercepted arcs, that is
∠ LMN = [tex]\frac{1}{2}[/tex] (NK - NL) = [tex]\frac{1}{2}[/tex] (210 - 70)° = [tex]\frac{1}{2}[/tex] × 140° = 70°
what is 20(y)+2(x) if y=2 and x=9
btw this is me
Answers
Answer: 20(y)+2(x) = 20(2) + 2(9) = 40 + 18 = 58
Answer:
58
Step-by-step explanation:
If y=20 and X=9, then the equation=20 × 2 + 2 ×9= 40 + 18=58.
in how many ways can 7 people line if A needs to be first or last and B needs to be in the middle
Answers
Answer:
Assuming person A and person B are part of the 7 people, there are 10 ways the 7 people can line up if A needs to be first or last and B needs to be in the middle.
Step-by-step explanation:
There are 2 places for A (first, last) and 5 places for B (anywhere but first or last). 2 x 5 = 10.
Which of the points does not lie on the line y=x^2
Answers
Answer:
y does not lie on the point x^2 lie
Answer:
[tex]\large \green{ \boxed{\boxed{\begin{array}{cc} \maltese \: \bf \: (\frac{3}{2}, \frac{9}{2} ) \: dose \: not \: lie \\ \\ \bf \: on \: the \: curve \: \: \end{array}}}}[/tex]
Determine the intercepts of the line.
Answers
Answer:
y-intercept = -55
x-intercept =25
Step-by-step explanation:
I know how to do this
{(3,1),(-2,-1),(-3,2)}
Domain:
Range:
Answers
Answer:
Domain { -3,-2,3}
Range{ -1,1,2}
Step-by-step explanation:
The domain is the input
Domain { -3,-2,3}
The range is the output
Range{ -1,1,2}
NOW ASAP I NEED HELP ON THIS FAST PLEASEEEEEEEEEEEEE
Answers
Answer:
fourth time ...
same problem...
the red line crosses a corner of a box at (4,20) and (2,10)
20/4 = 5
and
10/2 = 5
the slope , constant, gradient for this relationship is "5"
Step-by-step explanation:
Find the SUM of the interior angles of a shape with ______ sides. (Fill in the blank and solve)
Answers
Answer:
(n-2)180
Step-by-step explanation:
Let us assume the number of sides is 'n'.
So,
The SUM of the interior angles of a shape with n sides is given by the formula (n-2)180
(60 + 24) ÷ 3 = ( __ ÷ 3) + (24 ÷ 3)
Answers
Answer: 60
Step-by-step explanation:
The blank space can be filled with 60, as this is a simple problem of distributive property
(60+24)/3=(60/3)+(24/3)
84/3=20+8
28=28
In the diagram below ABE = 65° and DĈF = 32º. E- B 650 D 32°C A F Calculate the size of EBC
Answers
Step-by-step explanation:
lol wea is the diagram??
1. Use the cosine and sine functions to express the exact coordinates of P in terms of angle θ.
2. Mark a point Q on the unit circle where tangent has a value of 0.
Answers
Answer:
For a point defined bt a radius R, and an angle θ measured from the positive x-axis (like the one in the image)
The transformation to rectangular coordinates is written as:
x = R*cos(θ)
y = R*sin(θ)
Here we are in the unit circle, so we have a radius equal to 1, so R = 1.
Then the exact coordinates of the point are:
(cos(θ), sin(θ))
2) We want to mark a point Q in the unit circle sch that the tangent has a value of 0.
Remember that:
tan(x) = sin(x)/cos(x)
So if sin(x) = 0, then:
tan(x) = sin(x)/cos(x) = 0/cos(x) = 0
So tan(x) is 0 in the points such that the sine function is zero.
These values are:
sin(0°) = 0
sin(180°) = 0
Then the two possible points where the tangent is zero are the ones drawn in the image below.
The population of valleytown is also 5,000 with an annual increase of 1,000. Can the expected population for Valleytown be modeled with an exponential growth fu nction ? Explan
Answers
Answer:
An annual increase of 1000 means that the number by which the population increases is constant, which means that the population cannot be modeled with an exponential growth function, it is modeled by a linear growth function.
Step-by-step explanation:
Linear growth:
The number by which it increases is constant.
Exponential growth:
The rate which it increases is constant, that is, a proportion of population.
Annual increase of 1,000.
An annual increase of 1000 means that the number by which the population increases is constant, which means that the population cannot be modeled with an exponential growth function, it is modeled by a linear growth function.
write down the relation between the scales of temperature i.e degree Fahrenheit and degree Celsius in form of function and also write it's inverse
Answers
Answer:
C=（9F-32）/5
inverse：
Step-by-step explanation:
Find the pressure exerted by a force of 240 N on an area of 30 cm2. Find the answer in SI unit
Answers
Answer:
Pressure is 80,000 pascals.
Step-by-step explanation:
Area:
[tex] = { \bf{ 30 \times {10}^{ - 4} \: {m}^{2} }}[/tex]
Pressure:
[tex]{ \bf{pressure = \frac{force}{area} }} \\ \\ { \tt{ = \frac{240}{30 \times {10}^{ - 4} } }} \\ = { \tt{80000 \: pascals}}[/tex]
Angles 1 and 2 are supplementary. 2 lines intersect to form angles 1 and 2. Which equation represents the relationship between their measures?
Answers
Answer:
[tex]\angle 1 + \angle 2 = 180^o[/tex]
Step-by-step explanation:
Given
[tex]\angle 1[/tex] and [tex]\angle 2[/tex]
Required
The relationship between them [tex]\angle 1[/tex] and [tex]\angle 2[/tex]
From the question, we understand that [tex]\angle 1[/tex] and [tex]\angle 2[/tex] are supplementary
Supplementary angles add up to 180.
So, the relationship between [tex]\angle 1[/tex] and [tex]\angle 2[/tex] is:
[tex]\angle 1 + \angle 2 = 180^o[/tex]
What is the area? Please help!!!
Answers
Answer: 96 ft²
Step-by-step explanation:
This figure can be divided into two rectangles:
The first rectangle has dimensions 6 ft by 14 ft.The second rectangle had dimensions 4 ft by 3 ft.Find the area of both rectangles:
The first rectangle: 6 × 14 = 84 ft²The second rectangle: 4 × 3 = 12 ft²Add them together to find the total area of the figure:
84 + 12 = 96 ft²
what is the slope of the line(image is above)
please help me, this is worth 70 points guys!!!
Answers
Answer:
1
(3,0)(0,-3)
-3 - 0 /0 - 3 = -3/-3 = 1
Step-by-step explanation:
Step-by-step explanation:
To find the slope of this line get any points along the straight line since the slope along a straight line is the same throughout, you can actually get (2,-1)(1,-2)
m=y2-y1/x2-x1
= -2+1/1-2
=-1/-1
=1
I hope this helps
Layana’s house is located at (2 and two-thirds, 7 and one-third) on a map. The store where she works is located at (–1 and one-third, 7 and one-third). What is the distance from Layana’s home to the store?
4 units
8 and two-thirds units
10 units
14 and two-thirds units
Answers
Answer: Distance = 4
Step-by-step explanation:
Concept:
Here, we need to know the concept of the distance formula.
The distance formula is the formula, which is used to find the distance between any two points.
If you are still confused, please refer to the attachment below for a clear version of the formula.
Solve:
Find the distance from Layan's house to the store, where:
L (Layana) (2 2/3, 7 1/3)S (Store) (-1 1/3, 7 1/3)[tex]Distance = \sqrt{(x_2 - x_1)^2+(y_2-y_1)^2}[/tex]
[tex]Distance = \sqrt{(-1\frac{1}{3} - 2\frac{2}{3} )^2+(7\frac{1}{3} -7\frac{1}{3} )^2}[/tex]
[tex]Distance = \sqrt{(-4)^2+(0)^2}[/tex]
[tex]Distance = \sqrt{16+0}[/tex]
[tex]Distance = \sqrt{16}[/tex]
[tex]Distance = 4[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
A
Step-by-step explanation:
Did the test sorry I'm late
Solve the equation for all values of x.
(x2 – 16)(x2 + 49) = 0
Answers
Answer:
-4, 4, 7i, -7i
Step-by-step explanation:
Basically any or each bracket must be equal to 0. If x^2+16 = 0, then x can be 4 and -4, and if x^2+49 is 0, then x =7i or -7i
Will give Brainliest!!
Jocelyn eats 5 gummy worms today. Each day she eats one more than the day before. How many gummy worms in all will she have eaten by the end of Day 32?
Answers
Answer:
Jocelyn will have eaten 620 (which is way too much) by the end of day 32.
Step-by-step explanation:
First find out all the numbers that have to be added.
5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35
Then, Add.
5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30+31+32+33+34+35
= 620
Jocelyn ate 620 gummy worms by the end of the 32nd day.
Thank YOu! Please mark me brainliest!
Answer:
656
Step-by-step explanation:
i took the test
How many solutions exist for the mixed-degree system graphed below?
Answers
Answer:
The answer is one.
Draw to full scale (a) the plan (b) the front elevation as viewed from X and (c) the side elevation
as viewed from Y of the composite shape.
Answers
Answer:
Nice job dude
Step-by-step explanation:
Instructions: Find the surface area of each figure. Round your answers to the nearest
tenth, if necessary.
Answers
Answer:
136
Step-by-step explanation:
Surface area=2*(lb+bh+lh)
=2*(12+42+14)=2*68=136
(a) If the length of a pond having the perimeter 274 m is 68.5 m, prove that the pond is square shaped
Answers
Answer:
68,5*4=274 nên cái ao đó là hình vuông
Step-by-step explanat
4*a là chu vi hình vuông
