If you vertically stretch the epsional function f(x)=2^x by a factor of 4, what is the equation of the new function
Answers
The equation of the new function, obtained by vertically stretching the exponential function f(x) = 2ˣ by a factor of 4, is g(x) = 4 * 2⁹.
To vertically stretch the exponential function f(x) = 2ˣ by a factor of 4, we need to multiply the function by 4. This will result in a new function, let's call it g(x).
To find the equation of the new function, we multiply the original function f(x) by 4.
Therefore, the equation of the new function g(x) is:
g(x) = 4 * f(x)
Substituting the original function f(x) = 2ˣ into the equation, we get:
g(x) = 4 * 2ˣ
This is the equation of the new function after vertically stretching f(x) by a factor of 4.
When we vertically stretch a function, we multiply the original function by a factor. In this case, we multiplied the function f(x) = 2ˣ by 4 to get the new function g(x). This stretches the graph of f(x) vertically, making it four times taller.
The equation of the new function, obtained by vertically stretching the exponential function f(x) = 2ˣ by a factor of 4, is g(x) = 4 * 2⁹.
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Related Questions
HELP PLEASEEE
There are 132 people in a kickboxing tournament. Half of the competitors are eliminated after each round. How many people are left after four rounds?
Answers
Answer:
8 people
Step-by-step explanation:
Divide half by your new product everytime you divide.
132÷2 = 66
66÷2 = 33
33÷2 = 16.5
16.5÷2 = 8.25
Round to nearest whole number and you get 8. There will be 8 people left over after 4 rounds.
A system of two linear equations in two variable has no solution, if their graphs
a. coincide
b. cut the x-axis
c. do not intersect at any point
d. intersect only at a point
Answers
A system of two linear equations in two variables has no solution if their graphs c. do not intersect at any point.\
When a system of two linear equations in two variables has no solution, it means that there is no point of intersection between the two lines represented by the equations. This means that the lines are parallel, and do not intersect at any point. This is also known as an inconsistent system. On the other hand, if the two lines intersect at exactly one point, it is a consistent system and has a unique solution. If the two lines are coincident, it will have infinitely many solutions.
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The selling price of an item is $650 marked up from the wholesale cost of $450. Find the percent markup from wholesale cost to selling price.
Selling price-Markup=wholesale
$ -$ =$
Markup=percent markup x wholesale cost
= x
the percent is about
Answers
Answer: $650 + $450 divide it and then subtract it then it should be the answer X
Step-by-step explanation: answer
What's the x for
-2(x+3)=-10
Answers
Answer:
\(x=2\)
Step-by-step explanation:
\(-2(x+3)=-10\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(x+3\right)}{-2}=\frac{-10}{-2}\\Simplify\\\frac{-2\left(x+3\right)}{-2}=\frac{-10}{-2}\\\frac{-2\left(x+3\right)}{-2}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{2\left(x+3\right)}{2}\\\mathrm{Divide\:the\:numbers:}\:\frac{2}{2}=1\\=x+3\)
\(\mathrm{Simplify\:}\frac{-10}{-2}:\quad 5\\\frac{-10}{-2}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{10}{2}\\\mathrm{Divide\:the\:numbers:}\:\frac{10}{2}=5\\=5\\x+3=5\\\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}\\x+3-3=5-3\\\mathrm{Simplify}\\x=2\)
Answer:
x+3=-10/-2=5
x=5-3=2
What is the difference of -9 - 17 =
Answers
Answer:
the difference of -9 - 17 = -26
Which statement is true about angles 1 and 2?
Answers
Answer:
Angles 1 & 2 are adjacent
Step-by-step explanation:
Can someone help me with this Question.
Answers
The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.
\(P=3W+D\)A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.
B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.
\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.
That leaves \(27-14=13\) matches. These represent the matches team lost.
Finally, the answers are below.
\(A)29\)
\(B)13\)
Answer:
a) 29 points
b) 13 losses
Step-by-step explanation:
You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.
A 8 wins, 5 drawsThe number of points the team has is ...
P = 3W +D
P = 3(8) +(5) = 29
The team has 29 points.
B 54 pointsYou want the number of losses the team has if it has 54 points and 12 draws after 39 games.
The number of wins is given by ...
P = 3W +D
54 = 3W +12
42 = 3W
14 = W
Then the number of losses is ...
W +D +L = 39
14 +12 +L = 39 . . . substitute the known values
L = 13 . . . . . . . . . . subtract 26 from both sides
The team lost 13 games.
__
Additional comment
In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)
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Use △ABC to find the value of x and the angle measures.
Answers
The measure of angle A, B, C are 60°,60°,60°
What is sum of angle in a triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon.
The sum of angle in a polygon is 180°. i.e
A+B + C = 180°
therefore we can say that;
2x+2x + 3x-30 = 180
7x -30 = 180
7x = 180+30
7x = 210
divide both sides by 7
x = 210/7 = 30
therefore ;
angle A = 2× 30 = 60°
angle B = 2×30 = 60°
angle C = 3×30-30 = 90-30 = 60°
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In mathematics we like to write expressions concisely. For example, we will often
write the expression 5 × 5 × 5 × 5 as 54. The lower number 5 is called the base,
the raised 4 is called the exponent, and the whole expression 54 is called a power.
So 53 means 5 × 5 × 5 and is equal to 125.
What are the last three digits in the integer equal to 5 to the power of 2020?
Answers
25
Step-by-step explanation:
because 5^6=78125
How many times less is 50 than 500?
Answers
Answer:
10
Step-by-step explanation:
How many times less is 50 than 500?
500/50 = 10
Find the missing endpoint, help
Answers
Answer:
M = (13, - 6 )
Step-by-step explanation:
The coordinates of the midpoint are the average of the x and y coordinates of the endpoints.
L (- 9, 4 ) , let M = (x, y ) , then
\(\frac{-9+x}{2}\) = 2 ( multiply both sides by 2 )
- 9 + x = 4 ( add 9 to both sides )
x = 13
and
\(\frac{4+y}{2}\) = - 1 ( multiply both sides by 2 )
4 + y = - 2 ( subtract 4 from both sides )
y = - 6
Then
coordinates of M = (13, - 6 )
1. Is the function g(x) increasing or decreasing over the interval -2 < x <-1?
2. the function h(x) increasing or decreasing over the interval -2 < x <-1?
Answers
Answer:
g(x) increasing
h(x) decreasing
Step-by-step explanation:
Since the value of y gets larger as the value of x increases over the interval -2 <x<-1 for the function g(x), the function is increasing
Since the value of y gets smaller as the value of x increases over the interval -2 <x<-1 for the function h(x), the function is decreasing
What Is the value of -6?
Answers
Answer:
the value of -6 is -6
Step-by-step explanation:
can someone help me really quick
(Please Explain how you know this is correct.)
Answers
The rate of calories burned by bike riding is 4 calories per minute
First we have to choose points from the graph
The coordinates of the first point = (10, 40)
The coordinates of the second point = (20, 80)
The slope of the line is the change in y coordinates with respect to the change in x coordinates of the line
The slope of the line m = \(\frac{y_2-y_1}{x_2-x_1}\)
Where m is the slope of the line
\((x_1,y_1)\) is the coordinates of the first point
\((x_2,y_2)\) is the coordinates of the second point
Substitute the values in the equation
The slope of the line = (80-40) / (20-10)
= 40/10
= 4 calories per minute
Hence, the rate of calories burned by bike riding is 4 calories per minute
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Find what Y equals
y+3= -5
Answers
Answer:
-8
Step-by-step explanation:
-8+3=-5
Describe a vector in your own words. - Explain a method to add vectors. - Compare and contrast the component styles. - Decompose a vector into components. - Describe what happens to a vector when it is multiplied by a scalar. - Arrange vectors graphically to represent vector addition or subtraction. See all published activities for vector Addition here. For more tipss on using PhET sims with your students, see Tips for Using PhETT
Answers
A vector is a mathematical object that represents both magnitude and direction. It is commonly used to represent physical quantities such as displacement, velocity, and force. In simple terms, a vector is an arrow that has a length (magnitude) and points in a specific direction.
To add vectors, we can use the "tip-to-tail" method. This involves placing the tail of the second vector at the tip of the first vector and drawing a new vector from the tail of the first vector to the tip of the second vector. The resulting vector, called the sum or resultant, is the vector that connects the tail of the first vector to the tip of the second vector.
Component styles are two common methods used to represent vectors: the Cartesian coordinate system and the polar coordinate system. In the Cartesian coordinate system, vectors are represented by their horizontal and vertical components. The polar coordinate system represents vectors using their magnitude and angle from a reference axis.
To decompose a vector into components, we use trigonometry. For example, in the Cartesian coordinate system, we can find the horizontal and vertical components of a vector by using the cosine and sine functions, respectively, along with the magnitude and angle of the vector.
When a vector is multiplied by a scalar (a real number), the vector's magnitude is scaled by the scalar value, and its direction remains unchanged. If the scalar is negative, the vector will reverse direction.
Graphically, we can arrange vectors by placing their tails at the origin of a coordinate system and drawing the vectors as arrows with their tips pointing to the desired location. Vector addition is represented by placing the tail of the second vector at the tip of the first vector, while vector subtraction is represented by placing the tail of the subtracted vector at the tip of the original vector, pointing in the opposite direction.
Overall, vectors provide a powerful mathematical tool for representing and manipulating quantities with both magnitude and direction. They are essential in many areas of science, engineering, and mathematics.
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I need some help please, how can you map Figure A onto Figure C?
Answers
Answer:
5 units down
Step-by-step explanation:
Hope this helped, all you are doing is a translation.
Edit* If there is no down option do -5
Given sin(t) = 0. Find sin(t + 6π)
Answers
The value for sin(t + 6π) is always equal to 0, regardless of the value of t.
If sin(t) = 0, then t must be an integer multiple of π since the sine function is equal to zero at these values. Therefore, we can write t = nπ for some integer n.
To find sin(t + 6π), we can use the periodicity of the sine function, which states that
sin(x + 2π) = sin(x) for any real number x.
Using this property, we can rewrite sin(t + 6π) as sin(t + 2π + 2π + 2π) = sin(t + 2π) = sin(nπ + 2π).
Now, we need to determine the value of sin(nπ + 2π). Since n is an integer, we know that nπ + 2π is also an integer multiple of π, specifically (n+2)π.
Using the definition of the sine function, we can see that sin((n+2)π) = 0, since the sine function is zero at all integer multiples of π. Therefore, we can conclude that sin(t + 6π) = sin(nπ + 2π) = sin((n+2)π) = 0.
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Select The Equivalent Expression
Answers
find the sum of arithmetic sequences 12, 19, 26, 33..... n = 19
Answers
The sum of the arithmetic sequence 12, 19, 26, 33..... n is 1425
How to calculate the sum of the given arithmetic sequencesSum of arithmetic sequence is given by the formula
S = n/2[2a + (n − 1) × d]
where
s = sum
n = number of terms
a = first term
d = common difference
The term as compared with the sequence is substituted
d = 19 - 12 = 26 - 19 = 7
S = 19/2 [2 * 12 + (19 − 1) × 7 ]
S = 19/2 [24 + 18 × 7 ]
S = 19/2 [150]
S = 1425
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Which of the following could be a real-world description of 5x − 18?
$18 in addition to the cost of 5 hot dog combos
The cost of 18 people splitting 5 hot dog combos
The cost of hot dog combos less an $18 coupon split by 5 people
$18 less than the cost of 5 hot dog combos
Answers
Answer:
$18 less than the cost of 5 hot dog combos
Step-by-step explanation:
First, we see from the minus sign that this will be subtraction. PEMDAS (order of operations) says we do the multiplication first, then the subtraction.
pls help, i rlly dont know what this is
Answers
Answer:B
Step-by-step explanation:
Answer:
Step-by-step explanation:
option b is correct
9/4 = 2.25
13.5/6 = 2.25
do the last one yourself
Sari ran for class president. Each student in her class voted one timer Sari won 25% of the student votes
If Sari received 60 votes, how many students voted altogether?
Answers
Answer: 240 students
Step-by-step explanation:
25%=60
25*4=100
60*4=240
100%=240
Answer:
240 votes
Step-by-step explanation:
25% - 60 votes
100% - x
x = (100×60)÷25 = 240 (votes)
What do these (>, ≥, <, ≤) mean
Answers
Answer: <less than >greater than ≥ greater than or equal to ≤ less than or equal to
Step-by-step explanation:
i need help ASAP show your work
Answers
Answer:
a=5
Step-by-step explanation:
1/3(6a-15)=(a-2)+2
1/3(6a-15)=a
6a-15=3a
3a=15
a=5
:]
Step-by-step explanation:
1.multiply in first bracket
\(2a - 5 = a + 0\)
2.Take unknowns to left and constants to the right
\(2a - a = 5\)
3.solve for a
\(a = 5\)
Informal settlers who live nearby coastal areas and river side throw away about 4 million disposable diapers per year. how many diapers are thrown away each month??.
need help ༼ つ ◕_◕ ༽つ
Answers
Answer:
333,333 Three hundred and thirty-three thousand , three hundred and thirty-three
Step-by-step explanation:
4000000/12
Please help! Simplify the following problem.
Answers
Answer:
B. -4y^17
Step-by-step explanation:
what is the volume of the rectangular prism HELPPP WILL GIVE BRAINLIEST
Answers
Answer:
1 1/9
Step-by-step explanation:
I need help with this question
Answers
The length of the legs of the right triangle are 2.83 units.
How to find the side of a right triangle?A right tangle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, the legs of the triangle can be found using trigonometric ratios.
Hence,
sin 45 = opposite / hypotenuse
sin 45 = a / 4
cross multiply
a = 4 × 0.70710678118
a = 2.83 units
Therefore,
cos 45 = b / 4
cross multiply
b = 0.70710678118 × 4
b = 2.82842712475
b = 2.83 units
Therefore, the legs are 2,83 units
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At the fast food restaurant, four chicken sandwiches and three small waffle fry orders have a total of 1,850 calories. Three chicken sandwiches and five small waffle fry orders have a total of 2,020 calories. How many calories does each item contain?
Define the variables
x=
y=
Linear System
(should be 2 for both x and y)
Describe HOW you would solve the system of linear equations that you created for this problem.
Answers
We can write two equations for the calories based on the information given:
4x + 3y = 1850
And
3x + 5y = 2020
How the problem was solvedLet x be the number of calories in each chicken sandwich and y be the number of calories in each small order of waffle fries.
We can then write two equations based on the information given:
4x + 3y = 1850
3x + 5y = 2020
We can solve for x and y by using either substitution or elimination method.
For example, using substitution method, we can solve for x in the second equation:
x = (2020 - 5y)/3
and substitute this expression for x into the first equation:
4((2020 - 5y)/3) + 3y = 1850
Expanding and solving for y, we can then find x.
This would give us:
Each chicken sandwich contains 840 calories and each small order of waffle fries contains 170 calories.
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