The function f is given by f(x) = 2*, while the function g is given by g(x) = 4.2%.
Kiran says that the graph of g is a vertical scaling of the graph off. Mai says that the
graph of g is a horizontal shift of the graph off. Do you agree with either of them?
Explain your reasoning.
DO
Answers
I agree with Kiran that the graph of g(x) = [tex]4* 2^{x}[/tex] is a vertical scaling of the graph of f(x) = [tex]2^{x}[/tex],
Define the term scaling of the graph?Scaling of the graph refers to the process of stretching or shrinking a graph of a function either vertically or horizontally, while maintaining the shape of the graph.
If the function f is given by f(x) = [tex]2^{x}[/tex],
the function of g is given by g(x) = [tex]4* 2^{x}[/tex]
I agree with Kiran that the graph of g(x) = [tex]4* 2^{x}[/tex] is a vertical scaling of the graph of f(x) = [tex]2^{x}[/tex],
To see this, note that both functions have a base of 2 raised to the power of x. However, the function g has an additional factor of 4 multiplying [tex]2^{x}[/tex]. This means that g is 4 times larger than f for any given value of x.
On the other hand, I disagree with Mai that the graph of g is a horizontal shift of the graph of f. A horizontal shift occurs when a function is moved left or right along the x-axis. However, both f and g have the same base, so the shape of their graphs is the same. The only difference is the vertical scaling due to the additional factor of 4 in g.
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Related Questions
A company makes concrete bricks that are shaped like rectangular prisms. Each brick is 5inches long, 4inches wide, and 2inches tall. How much concrete will they need to make 1600 bricks?
Answers
Answer:
The answer would be 64,000.
Step-by-step explanation:
To find the area of one concrete block you will multiple length x width x height. Using the measurements provided, one block will equal 40. You will then multiple this by 1,600 to equal 64,000.
What are the solutions of 12 - x2 =0?
O x=2/3 and x = -2/3
O x= 3, and x = -373
O x= 4,3 and x = -4/3
O x=6 and x = -6
Answers
Math Practices and Problem Sol
17. Number Sense Using three different
numerators, write an equation in which
three fractions, when added, have a
sum of 1.
Answers
Answer:
First choose a common denominator, here i picked 11 then we think of 3 diffrent numbers so that their sum is 11 such as 2+4+5=11 so a possible equasion would be
Step-by-step explanation:
A rectangle has vertices at coordinates 0,0 3,0 0,6 what is the area of the rectangle
Answers
Answer:
18
Step-by-step explanation:
MAn article is
bought and sold at a profit of one fourth of selling
price. Find the profit percent.
Answers
Answer:
25% profit
Step-by-step explanation:
Statement
An article is bought and sold at a profit of one fourth of selling price.
⇒ Buying price = x
⇒ Selling price = Buying price (1 + 1/4) = 5x/4
Profit %
Selling price - Buying price / Buying price(5x/4 - x) / x(x/4) / x⇒ 1/4⇒ 0.25⇒ 25% profitA radioactive element decays at a rate of 5.25% annually. There are 35 grams of the substance
present. How much of the substance remains after 12 years (Round to the nearest hundredth)?
TEKS A2.5(B)(D)
Answers
Answer:
18.32 gm
Step-by-step explanation:
= 35 ( 1-.0525)^12 = 18.32 gm remain
Find the perimeter of the parallelogram.
Will mark brainlyest!!
Answers
Answer:
58cm
Step-by-step explanation:
Answer:
58
Step-by-step explanation:
16 +16=32
13+13=26
32+26=58
Hope it Helps
please help me, thank you if you do
Answers
Answer:
Step-by-step explanation:
1. The sequence is not arithmetic.
2. d=-30
4/9÷1/2 as a fraction (simplest form)
Answers
Answer:
8/9
Step-by-step explanation:
4/9 ÷ 1/2 = dividing by 1/2 is the same as multiplying by its reciprocal 2/1
4/9 × 2/1 = (4×2)/(9×1) multiply numerators (top numbers) and multiply denominators (bottom numbers)
Find, from first principle the derivative of 1/x^2+1 with respect to x.
Answers
Answer:
d/dx = -2/x^3
Step-by-step explanation:
1/x^2 + 1
We can solve for the derivative using the power rule
d/dx = -2/x^3 + 0
d/dx = -2/x^3
Help for the brainiest answer quickly please
Answers
Answer:
C
Step-by-step explanation:
I’ll give you brainliest for the first person with an answer
Answers
Answer:
1296mm^2
Step-by-step explanation:
Surface Area of the Rectangular Prism to the left on top of the box:
Area of square = lw, 9mm * 9mm = 81mm, then multiply by 2 because 2 of the squares are a part of the surface, giving 162mm^2
Area of a rectangle =lw, 9mm * 9mm = 81mm, then multiply by 2 again, because 2 rectangles are a part of the surface, giving 162mm^2
So, the total surface area of the rectangular prism to the left on top, is 324mm^2
Surface Area of the Triangular Prism:
Area of a triangle: 1/2bh, and our base length would be 12, because we have to subtract 9 from 21 since the base length of the triangle isn't stated. Anyways, A = 1/2bh, so A = 1/2(12)(9) = 54mm^2, but multiply by two, so we get 108mm^2.
Area of the rectangle: lw, so 15mm * 9mm = 135mm^2
So, the total surface area of the triangular prism is 243mm^2
Surface Area of the Rectangular Prism at the bottom:
Area of the long rectangles in front = lw, 21mm * 9mm = 189mm^2, multiply by 2, 378mm^2
Area of the rectangles to the side = lw, 9mm * 9mm = 81mm^2, multiply by 2, 162mm^2
Area of the rectangle at the very bottom = lw, 21mm * 9mm = 189mm^2
So, the total surface area of the rectangular prism at the bottom is 729mm^2
Add all the total surface areas of each shape to get the total surface area of the figure:
324mm^2 + 243mm^2 + 729mm^2 = 1296mm^2
The surface area of the figure above is 1296mm^2
use an equation to find the value of k so that the line that passes through (1,3) and (5,k) has a slope of m=2.
Answers
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{k}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{k}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{1}}}~~ = ~~\stackrel{\stackrel{m}{\downarrow }}{2} \\\\\\ \cfrac{k-3}{4}=2\implies k-3=8\implies k=11[/tex]
Use the regression equation to predict the sales of skin diving and scuba equipment in the year 2008
Answers
Answer:c
Step-by-step explanation:
A baseball field in the shape of a square is shown. the corners are labeled home plate, first base, second base, and third base. the distance between home plate and first base is 90 feet. a baseball field is in the shape of a square. the distance between each pair of bases along the edge of the square is 90 feet. what is the distance between home plate and second base? startroot 2 endroot feet
Answers
Answer:
90√2 feet
Step-by-step explanation:
The geometry of the problem can be modeled by a right triangle with sides 90 feet. The length of the hypotenuse is the distance from home plate to 2nd base. The Pythagorean theorem tells you that distance (c) is ...
c² = a² +b²
c² = (90 ft)² +(90 ft)² = 8100 ft² +8100 ft²
c² = 16200 ft²
c = √16200 ft = 90√2 ft
The distance between home plate and second base is 90√2 feet.
Answer:
A baseball field is in the shape of a square. The distance between each pair of bases along the edge of the square is 90 feet. What is the distance between home plate and second base?
(90) StartRoot 2 EndRoot feet
Step-by-step explanation:
Help!! Khan academy geomtry practice
Answers
Answer:
33.51 units³
Step-by-step explanation:
Volume of a sphere is given by the formula :
V = [tex]\frac{4}{3} \pi r^{3}[/tex]
Because we have the radius we can plug it into the equation to give us :
V = (4/3)×π×(2)³
V = 4/3×8π
V ≈ 33.51
Units will be units³ since no measurement is given but it to the power of 3 since it is volume.
*URGENT*
If you were at the Market Square and you wanted to get to the Doctor’s Office, according to the map, how would you get there? (Write your answer according to units.)
Answers
Answer: (2,-5) X:2. Y:-5
Move accross 2 units to the right and then 5 units down from 2
Find the surface area of the right triangular prism (above) using its net (below).
Answers
Answer:
The Answer is 96 units squared
Step-by-step explanation:
First, you find the area of all the sides:
Triangle 1: 6
Triangle 2: 6
Rectangle 1: 21
Rectangle 2: 28
Rectangle 3: 35
Then you add all of the numbers together.
6+6+21+28+35 = 96 units squared
I hope this helps :)
Two consecutive positive integers have a product of 156. Find the integers.
The integers are ___
Answers
So here this question is of concept linear equations. As in linear equations we assumes the unknown number as an variable after that an equation would be formed which we would solve and get the answer. Here also we would be doing same.!!
So let us assume the unknown positive integers as a and (a + 1).
★ Product of both integers :-
a (a + 1) = 156 [Equation formed]★ Solving the equation :-
[tex]: \longrightarrow \: \sf{a \: (a + 1) \: = \: 156} \\ \\ : \longrightarrow \: \sf{a \times (a + 1) \: = \: 156} \\ \\ : \longrightarrow \: \sf{a {}^{2} \: + \: a \: = \: 156} \\ \\ : \longrightarrow \: \sf{a {}^{2} \: + \: a \: - \: 156 = 0} \\ \\: \longrightarrow \: \sf{a {}^{2} \: - \: 12a + 13a\: - \: 156 = 0} \\ \\ : \longrightarrow \: \sf{a(a \: - \: 12) + 13(a\: - \: 12) = 0} \\ \\ : \longrightarrow \: \sf{a(a \: - \: 12) + 13(a\: - \: 12) = 0} \\ \\ : \longrightarrow \: \sf{(a \: - \: 12) (a\: + \: 13) = 0} \\ \\ : \longrightarrow \: \red{\bf{a \: = \: 12 }}[/tex]
Therefore,
First positive integer is 12★ Second positive integer :-
2nd positive integer = a + 1 2nd positive integer = 12 + 1 2nd positive integer = 13What is the equation of a line that passes through the hypotenuse of the right triangle in the graph?
A. 1/5x
B. y=5x
C. y=-5x
D. y=2/5x
Answers
Answer:
y = 5x
Step-by-step explanation:
Hey there!
To start with the hypotenuse of a triangle is the longest side of it
and to get an equation of a line you would use
y = mx + b
where m is the slope
and b is the y-intercept
to get the slope you would do rise over run
rise/run
take 2 points and see how much it rises and runs to the next point
you would then get 5
then we figure out the y-intercept where the line intercepts the y-axis
in this case 0
In conclusion the answer is y = 5x + 0
we can also remove the 0 because it is unnecessary
y = 5x
f(3) if f(x) = 2x + 5 =
Answers
Answer:
11
Step-by-step explanation: Uh- if X=3 then it would be 2(3) +5. 2x3 is 6, and 6+5 is 11.
Answer:
11
Step-by-step explanation:
2(3) + 5
simplify
6 + 5 = 11
hope this helps
What’s The Answer Of This? Please HELP FAST
Answers
Answer:
those are corrisponding angles which means they equal each other making <H and <G both 57 degrees
dont mind my answers thanks for helping me out have a good day
Answers
Answer:
ACD and DCB are supplementary and others are correctly chosen ...
What was one of the main causes of the Great Depression?
a. The overuse of credit
b. The under-utilization of money
c. WWII
d. Excessive government borrowing
Answers
Answer:
B
Step-by-step explanation:
Solve 196x2 + 25 = 0 by using square roots.
Answers
Find the missing measurement for x.
Answers
Answer:
EASYYY 90°
Step-by-step explanation:
30 + 60 = 90
180-90=90
also
thats a right angle which is always 90°
ALSO
the angle opposite another angle is always the same measurement.
show how to rewrite 1/5 with the denominator of 10
Answers
Answer:
2/10
Step-by-step explanation:
Since the denominator is 10, we must find what the numerator is so that the fraction can be equal to 1/5. Since 10 is twice of 5, we multiply 2 by 2 as well. With that, we get a final answer of 2/10.
If x = 18, evaluate the following expression:
12 + 3
Answers
30
Explanation
12+18=30
Find the solution(s) to 2x2 - 5x – 3 = 0. Check all that apply.
A. x = }
B. x= -1
0 C. x= -3
D. x= 2
E. x = 3
Answers
Answer:
E. x = 3
Step-by-step explanation:
The equation can be factored by considering the factors of the product of the first and last coefficients. Those factors must have a sum equal to the middle coefficient.
(2)(-3) = -6 = (-6)(1) = (-3)(2) = ... other factors with positive sums
The sums of the factor pairs shown are -5 and -1. We're interested in the factor pair {-6, 1}. Replacing the middle term coefficient with the sum of these, we can write the equation in a way that lets us factor pairs of terms.
2x² -6x +x -3 = 0 . . . . . . . . replace -5x with -6x+1x
2x(x -3) +1(x -3) = 0 . . . . . . factor pairs of terms
(2x +1)(x -3) = 0 . . . . . . . . . complete the factoring
Solutions are the values of x that make these factors zero:
2x +1 = 0 ⇒ x = -1/2
x -3 = 0 ⇒ x = 3
_____
Additional comment
A number of methods are used to find the factors of a quadratic with a leading coefficient other than 1. When the coefficients are small integers, this is one of the more straightforward methods: actually listing and examining the pairs of factors of "ac." If "ac" has a large number of divisors, other methods may be more practical.
Answer:
x = 3 AND x = -1/2
Step-by-step explanation:
its right
The table shows the average bill totals for given numbers of diners at Simone’s restaurant. If the rate is constant and you graph this relationship with the number of people along the x-axis and bill amounts along the y-axis, which points will lie on the line you get?
Persons Bill Amount
1 ------------$40
2 $80
7 -------------$280
9 $360
11 $440
A.(12, 460
B.(20, 800)
C.(24, 1,020
D.(27, 1,080)
E.(28, 1,110)
HELPP
Answers
Answer:
(B) and (D)
Step-by-step explanation:
it's B and D because they are the only two points with constant rate