Answers
The key feature that the function of f(x) and g(x) has in common is the domain.
What is the domain and range of a function?The domain of a function is the set of input or argument values for which the function is valid and well defined. The range is the set of the dependent variable for which a function is defined.
From the given information, we are to find the domain, range, x-intercept, and, y-intercept of the given equation:
[tex]\mathbf{f(x) = -4^x+5}[/tex]
[tex]\mathbf{g(x) = x^3 +x^2 -4x+5}[/tex]
For [tex]\mathbf{f(x) = -4^x+5}[/tex];
The domain of a function [tex]\mathbf{-4^x+5}[/tex] has no undefined points or constraints. Thus, the domain is -∞ < x < ∞.
The range f(x) < 5. The x-intercepts, when y is zero = [tex]\mathbf{(\dfrac{In(5)}{2In(2)},0)}[/tex]The y-intercepts; when x is zero = (0,4)For [tex]\mathbf{g(x) = x^3 +x^2 -4x+5}[/tex]
The domain of a function [tex]\mathbf{g(x) = x^3 +x^2 -4x+5}[/tex] has no undefined points or constraints. Thus, the domain is -∞ < x < ∞.
The range -∞ < f(x) < ∞. The x-intercepts, when y is zero = (-2.939, 0)The y-intercepts; when x is zero = (0,5)Learn more about the domain and range of a function here;
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Related Questions
Need help............
Answers
Answer:
i would say C
Step-by-step explanation:
y/-2 = -34
giving brain.
Answers
Answer:
y=68
Step-by-step explanation:
Answer:
y = 68
Step-by-step explanation:
We have the expression y over -2 = -34 and are asked to solve or y.
To solve, we need to isolate for y :
y/-2 = -34
Multiply -2 from both sides :
[tex]\frac{y}{-2} *-2=-34*-2[/tex]
[tex]y = 68[/tex]
Which one of the following examples represent a repeating decimal?
Answers
Answer:
C. 0.777777
Step-by-step explanation:
Which statement is not true? Help ASAP! Thanks!!
Answers
Answer:
4 option...... .......
72 is the result of x-20%
Help please--the way that I thought of solving this is not what the book says the answer is
Answers
Answer:
The original cost was $90.
Step-by-step explanation:
"Judy bought a coat at the office of $72, which is 20% off the original price. what was the original cost of the coat?"
Your equation contains an error that will lead to an incorrect answer.
This is the correct way to write the equation.
We don't know the original price, so we let x = the original price.
The discount was 20% off the original price, so the discount is 20% of x.
20% of x is the same as 20% * x = 0.2x. The discount is 0.2x. We now subtract the discount from the original price.
x - 0.2x
She paid the discounted price of x - 0.2x. We are told that amount is $72, so we let our expression of the discounted price equal the discounted price we are told she paid.
x - 0.2x = 72
Now we solve for x, the original price.
x - 0.2x = 72
Combine like terms on the left side.
0.8x = 72
Divide both sides by 0.8
0.8x/0.8 = 72/0.8
x = 90
Answer: The original cost was $90.
P.S.
You must be careful when writing the equation. What you wrote was
x - 20%
on the left side. Notice that 20% is simply equal to 0.2; it is not 20% of the original price. By writing
x - 20% = 72
you are in fact writing
x - 0.2 = 72
meaning that the discount was $0.20
A discount of 20% on $90 is really $18, not $0.20.
There is a big difference there.
If you have any questions, just ask in the comments.
Find the length of AB
Answers
Answer:
69
Step-by-step explanation:
Helppppppp me with question 5 Tuesday pleaseeeeee
Answers
Answer:
n=19
Step-by-step explanation:
5+14=n
19=n
what is this 12 x ? = 5
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0.416666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666
1/2(m - 3) = 1/4(m - 7)
I
Solve
Answers
½m - ¹/₄ m = -⁷/₄ + ³/₂
¹/₄ m = -¹/₄
M=-1
Anybody gets this question ???
Answers
Answer:
7
Step-by-step explanation:
Can I have Brainliest please?
6.
The distance from London to New York is 3456 miles.
A plane takes 8 hours to fly from London to New York.
Work out the average speed of the plane.
Di
Answers
Answer:
3456/8 = 432
432 miles per hour
Step-by-step explanation:
Translate the sentence into an equation.
Six more than the product of a number and 3 is 2
Answers
Answer:
3X+6=3
Step-by-step explanation:
six more can added before or after of the product of a number X and 3. substitute is by =
3x×6=3
What is the volume of a pyramid container if the area of its base is 100 square inches and its height is 5 inches
Answers
Answer:
V≈166.67
Step-by-step explanation:
V=ABh
3=100·5
3≈166.66667
Answer:
166 2/3
Step-by-step explanation:
The formula to solve for the volume of a pyramid is lwh/3. Plug those numbers in and you'll get 10*10*5=500/3 = 166 2/3.
cuántos galones estadounidensesb se necesitan para llenar un depósito que mide 24 in de ancho 27 in de largo y 18 in de alto?
Answers
Answer:
se necesitan aprox 50 galones para llenarlo por completo
Where would the shape be located after a translation of 5 units to the right?
A. Quadrant 3
B. Quadrant 2
C. Quadrant 1
Answers
Answer:
It the shape would be in quadrant 1
Answer: Quadrant 1 I think
Step-by-step explanation:
find the value of x and round to the nearest tenth (geometry)
Answers
Answer and Step-by-step explanation:
Just flip the triangle upside down, to make it look more sense.
(Angle) 17
|\
x | \ 47
|__\
We will use the sine trig function to solve for x.
sin(17) = [tex]\frac{x}{47}[/tex]
Multiply by 47 to both sides.
47(sin(17)) = x
Now input into a calculator and solve.
x = 13.74147012
x ≈ 13.7 is the answer.
A garment Stroe bought so shirts cut the rate of
400 per shirts and sold them at a loss of
1600 Find S.p?
Sop=20000
Answers
Answer:
the selling price is 18,400
Step-by-step explanation:
The computation of selling price is shown below:
Given that
The cost price of the shirts is 20,000
And, there is a loss of 1,600
So, the selling price is
= 20,000 - 1.600
= 18,400
hence, the selling price is 18,400
An observer (O) spots a bird flying at a 42° angle from a line drawn horizontal to its nest. If the distance from the observer (O) to the bird (B) is 17,000 ft., how far is the bird (B) from its nest (N)? Round to the nearest whole number. (4 points)
A right triangle B N O is shown with angle B marked 42 degrees, side B N marked x and side B O marked 17000 feet.
a
11,375 feet
b
12,633 feet
c
14,862 feet
d
15,307 feet
Answers
Answer:
12,633 feet
Step-by-step explanation:
The horizontal distance between the observer and the bird's nest is
b. 12,633 feet
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, An observer (O) spots a bird flying at a 42° angle from a line drawn horizontally to its nest.
The hypotenuse distance which is from the observer's eye to the bird's nest is 17000ft and we need the horizontal distance or the distance of the adjacent.
∴ , cos = adjecen/hypotenuse.
cos42° = adjacent/17000.
adjacent = 17000×cos42°.
adjacent = 17000×0.743.
adjacent = 12631 feet.
learn more about trig ratios here :
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Which of the following graphs represents a function that has a negative
leading coefficient? Check all that apply.
---
A. Graph A
B. Graph B
C. Graph C
D. GraphD
Answers
Answer: a, b, and c
Step-by-step explanation:
Hence, the price of the routes is € 244. Graph A, Graph B, and Graph C are the graphs with negative coefficients.
What is a polynomial graph equation?At different x-intercepts, graphs exhibit varying behaviours. On occasion, the graph will intercept the x-axis and cross it. On occasion, the graph will contact the x-axis and then deviate from it.
Determine the polynomial functions' zeros' even and odd multiplicities.
Plot the graph of a polynomial function using end behaviour, turning points, intercepts, and the Intermediate Value Theorem.
For zeros with even multiplicities, the graphs intersect or are tangent to the x-axis at these x-values. These x-values for zeros with odd multiplicities are where the graphs overlap or meet the x-axis.
Given the data,
Let A, B, C, and D represent the graph.
Currently, the graphs' measurements are
A cubic function that is pointing in the direction of a negative value is used to illustrate the first graph.
Hence, it has a negative coefficient.
The second graph is a parabola as well. It opens downward, which indicates that the leading coefficient is adverse.
The third graph is a linear one that is now tilted downward.
Thus, it has a low efficiency.
Hence , the graphs are solved
Go here for additional information on polynomial graph equations.
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Sakima is making cookies for a bake sale. He needs to make 20 dozen cookies. For each dozen, he needs 4 ounces of nuts. How many pounds of nuts should he buy?
A. 1 3/5 lb
B. 1/4 lb
C. 2 lb
D. 80 lb
E. 5 lb
Answers
Answer:
5
Step-by-step explanation:
20÷4=5
Help me plsssssssssssssssssssssss
Answers
actual difference: 81.91
15-3x=-6 what is the answer
Answers
Answer:
x=7
Step-by-step explanation:
find the highest common factor using prime factorization for 27y and 54y³
Answers
Given:
27y and 54y³
To find:
The highest common factor (HCF) using prime factorization.
Solution:
We have,
27y and 54y³
Using the prime factorization, we get
[tex]27y=3\cdot 3\cdot 3\cdot y[/tex]
[tex]54y^3=2\cdot 3\cdot 3\cdot 3\cdot y\cdot y\cdot y[/tex]
Now, the common prime factors are 3, 3, 3 and y. So,
[tex]HCF=3\cdot 3\cdot 3\cdot y[/tex]
[tex]HCF=27y[/tex]
Therefore, the highest common factor of the given terms is 27y.
Antonio and Candice had a race. Their distances past a particular landmark as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Which statement is true regarding Antonio and Candice’s race?
Answers
I got the answer Antonio had a head start of 3 meters.
Answer: i just did a quiz with this question and the answer is antonio had a head start of 3 meters.
Step-by-step explanation: hope this helped! thx for the points :D
Solve for X please show your work
6(x-4)=12
Answers
6x-24=12
+24 +24
6x=36
^divide both sides by six
x=6
Simplify n ⋅ n⋅ 2n
someone please help thanks
Answers
Answer:
the answer would be:
[tex]2n^3[/tex]
Hope that helps! :)
Step-by-step explanation:
Beth bought x pounds of grapes. Mary bought 4/9 less than that
Answers
Answer:
[tex]\frac{5x}{9}[/tex]
Step-by-step explanation:
Mary bought: x - [tex]\frac{4}{9}[/tex]x = [tex]\frac{5x}{9}[/tex]
A baseball team had 75 players show up for tryouts last year and this year had 90 players show up for tryouts. Find the percent increase in players from last year to this year.
Answers
Answer:
20%
Step-by-step explanation:
Subtract the original number from the new number: 90-75=15
The increase is 15
Now divide the increase by the original number: 15/75=.20
Then multiply your answer by 100: .20x100=20
The difference of two numbers is 2 their sum is 22 what are the numbers
Answers
12+10=22
12-10=22
is the two numbers whose sum is 22 and difference is 2.
What is the solution to the equation 37x = 9x + 4?
-7
-1/7
1/7
7
Answers
37x - 9x = 4
28x = 4
x = 7
Answer: The solution is C. 1/7.
Step-by-step explanation: Just plug 1/7 as x. You will find that the statement is true when you plug in 1/7.