The transformation of f (x) exists g (x) = f (x) - 4.
What is meant by exponential functions?A mathematical function using the following formula is an exponential function: f (x) = an x. where x is a variable and an is a fixed amount known as the function's base. The transcendental number e, or roughly 2.71828, is the most often encountered exponential-function base.
A function that has a positive constant increased to a variable exponent, other than 1, is referred to as an exponential function. By solving at a certain input value, a function is assessed. When the beginning value and growth rate are known, an exponential model can be discovered.
We observed that:
f (0) = 2
For the function g (x) we have:
g (0) = -2
Therefore,
g (x) = f (x) - 4
Looking for intersection with axis and we have:
g (0) = f (0) - 4
g (0) = 2 - 4
g (0) = -2 (correct demonstration)
The transformation of f (x) is: A. g (x) = f (x) - 4
Therefore, the correct answer is option A. g (x) = f (x) - 4.
The complete question is;
Two exponential functions, f and g, are shown in the figure below, where g is a transformation of f.
Which of the rules given below shows the transformation of f?
A. g(x) = f(x) - 4
B. g(x) = f(x - 4)
C. g(x) = f(x) + 4
D. g(x) = f(x + 4)
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. Describe the transformation that changes AABC to AA'B'C'.
Analysing the given figures of the triangles ABC and A'B'C' , the required transformation for changing the traingle ABC to A'B'C' is the translation.
How can a translation transformation be represented in a 2D space?In a two-dimensional space, a translation transformation can be represented by a matrix of the form [1 0 Tx], [0 1 Ty], where Tx and Ty are the horizontal and vertical translation values, respectively. The matrix shows the movement of an object in the x and y directions, with Tx representing the horizontal shift and Ty representing the vertical shift.
What are the effects of a translation transformation on an object?A translation transformation moves an object from one position to another without changing its size or orientation. The shape and size of the object remain the same, but its position changes. The object is moved along a specific direction by a certain distance, and the position of the object within a coordinate system is changed. The effect of a translation can be visualized as sliding an object along a surface, while keeping its orientation and size unchanged.
As we can see from the given graph that the traingle ABC has moved straight downward without any changes in the orientation and the size of the traingle while being transformed to traingle A'B'C', Hence the transformation is translation transformation.
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please help will give brainliest
Answer:
c
Step-by-step explanation:
10 times 8 = 80
80 times 3 = 240
Answer:
A
Step-by-step explanation:
length times width times height will give you volume
Pls I need help I’m begging u
Answer:
B
Step-by-step explanation:
B has a constant rate of change because it changes by 30 every 2, or 15 every 1. Hope this helped :).
hich are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
The correct representations of the inequality are
-6x + 15 < 10 - 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
Solving inequality and determining the correct representationsFrom the question, we are to determine the correct representations of the inequality
From the given information,
The given inequality is
-3(2x - 5) < 5(2 - x)
To determine the correct representations, we would proceed to solve the inequality
Solving the inequality
-3(2x - 5) < 5(2 - x)
-6x + 15 < 10 - 5x
This is one of the representations of the inequality
Then,
Collect like terms
-6x + 15 < 10 - 5x
-6x + 5x < 10 - 15
-x < -5
Multiply through by -1
x > 5
If the solution is represented on a number line, we would have a number line from negative 3 to 3 with an increments of 1 and an open circle at 5 and a bold line starts at 5 and is pointing to the right.
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Find the quotients for the following equations-
1.72 divided by 3 (use sharing to divide)
2 228 divided by 5 (use partial quotients)
3. 1,487 divided by 4 (solve using any strategy you choose)
Complete these questions on yellow loose leaf paper
Your thinking must be visible.
Divide 228/5 into 45, leaving a residue of 3, and divide 1,487 by 4 to get 371.75 . 2.28 divided by 5 using partial quotients = 40 + 5 = 45
what is quotients ?The quotient is a whole number when a number is entirely divisible by another integer.For instance, 15 x 3 = 5. (whole number)The quotient is a decimal number when a number is not entirely divisible by another integer. For instance, 15 x 2 equals 7.5 (decimal number)
given
2.28 divided by 5 using partial quotients = 40 + 5 = 45
after all partial quotients are added up. 1.72 divided by 3 using sharing to divide = 1.72 / 3 = 0.58
Divide 228/5 into 45, leaving a residue of 3, and divide 1,487 by 4 to get 371.75 .
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Deborah is x year old and Sarah is y years old. The sum of their ages are 58. If Deborah is 4 years young then Sarah. Find the ages of both woman
Answer:
Hello! answer:
Deborah is 27
Sarah is 31
Step-by-step explanation:
31 - 27 = 4 31 + 27 = 58 therefore x = 27 and y = 31 Hope that helps!
Age of Sarah is 31 and age of Deborah is 27.
What is proportionality?If every pair of data values is related in the same way, by multiplying by a factor, then the relationship is proportional. A proportionate relationship can be identified by looking at data, an equation, or a graph.
Given, Deborah is x years old and Sarah is y years old. The sum of their ages is 58. If Deborah is 4 years young then Sarah is. Hence,
Deborah's age + Sarah's age = 48
x + y = 48
Also given, Sarah's age = Debora's age + 4
y = x +4
comparing both equations.
x = 27 and y = 31
Therefore, the age of Deborah is 27, and age of Sarah is 31.
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The value of z varies inversely with the value of w. The constant of variation is 2. Which are possible values for z
3
and w? Check all that apply.
Oz=.
z = 1+₁ w = 2/1/201
O z = 2, w = 3
O z=
z = -1/₁w=2
O z
4,
= 1/5, w = 2/1/201
z = 1/2/3₁, w = 2/1/201
Answer:A,C,D
As a result of the inverse relationship between z and w, their product is constant.
What does "inverse connection" actually mean?There is an inverse relationship between two parameters when they are connected, where the value of one parameter tends to decrease as the value of the other parameter increases. It's often described as a "bad friendship" in conversation.
According to the information:z * W is equal to 1.
The statement indicates that the constant's value is 2/3, so:
z * w = 2/3
The result of solving for any of the variables is:
either w = (2/3) / z or z = (2/3) / w
The following values fit that relation:
z w = (2/3) / z
-8/9 (2/3) / (-8/9)
= - (2/3) * (9/8) = -3/4
- 4/9 (2/3) / (-4/9)
= - (2/3) * (9/4) = - 3/2
- 2/9 (2/3) / (-2/9)
= - (2/3) * (9/2) = - 3
2/9 (2/3) / ( 2/9)
= (2/3) * (9/2) = 3
4/9 (2/3) / (4/9)
= (2/3) * (9/4) = 3/2
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no scam or link and dont act like u cant see it or i will report u
Answer:
14.
-3(6-r)=6
6-r=6/-3
6-r=-2
6+2=r
r=8
error is:
-18+3r not -18-3r
Answer:
hope it's helps you ☺
have a good day
Please Help Me with these 3 questions !!
Answer:
17) c
18) a) 19
19) i dont know sorry
Step-by-step explanation:
the first two i can solve, the first one i simply put in a calculator and observed that it did not pass the vertical line test, so it is now a function. the second one all you have to do is sub in -3 for x so the equation reads |-(-3)^3-8| which equal 19, sorry i couldnt help on 19
Help me please trig hw
Answer:
44.044 is your answer dude
Someone please help me please don’t answer if you don’t know ..
the answer would be 7/8
Step-by-step explanation:
Help
Complete the puzzle so that each row, column, and diagonal adds up to the same total.
Complete the puzzles with values -4, 0, -3 and 2
How to complete the puzzle?Since each row, column, and diagonal adds up to the same total.
For the 1st row, the total is:
3 + (-2) + (-1) = 0
That means each row, column, and diagonal will always adds up to 0.
3 + w + 1 = 0
w = -3-1
w = -4
w + y + 4 = 0
-4 + y + 4 = 0
y = 0
-1 + 4 + t = 0
3 + t = 0
t = -3
1 + h + t = 0
1 + h + (-3) = 0
h -2 = 0
h = 2
(Check the attached image for labeling)
Thus, complete the puzzle with the values accordingly
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what is this I need the answer
Answer:
104
Step-by-step explanation:
Assume the Poisson distribution applies. Use the given mean to find the indicated probability.
Find P(5) when μ = 9
Answer: 0.155
Step-by-step explanation:
To find the probability of a certain event occurring in a Poisson distribution, we can use the formula:
P(k) = (μ^k * e^(-μ)) / k!
Where:
P(k) is the probability of the event occurring k timesμ is the meane is the base of the natural logarithm ( approximately 2.71828)k! is the factorial of k (k factorial)Plugging in the given values, we get:
P(5) = (9^5 * e^(-9)) / 5! = 126,441 * 0.000123 = 0.1550
So the probability of the event occurring 5 times is approximately 15.5%.
Sara is saving her money in a piggy bank
and counts it each month. The graph
shows her monthly savings. Choose any
two points and draw a slope triangle.
Dilate the slope triangle along the graph
to determine whether the amount Sara
saves each month is constant.
Answer: It is not possible for me to draw a slope triangle or dilate it along the graph without more information about Sara's monthly savings.
To determine whether the amount Sara saves each month is constant, you can choose any two points on the graph and use them to calculate the slope of the line connecting them. If the slope is constant for all pairs of points, then the amount Sara saves each month is constant. If the slope is not constant, then the amount Sara saves each month is not constant.
To calculate the slope of the line connecting two points, you can use the following formula:
slope = (y2 - y1)/(x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
You can then use the slope triangle to visualize the slope of the line connecting the two points. If you dilate the slope triangle along the graph and the slope remains constant, then the amount Sara saves each month is also constant.
Step-by-step explanation:
What is the surface area?
What is the surface area of G
Answer:
226 cm^2
Step-by-step explanation:
It’s literally a rectangular prism If you put it together. The side with 2 cm and 11 cm , the surface area is 22 and since this is a rectangular prism, that means there is a second of the same kind. Then you get the larges box, since you know that the top side is 11 and the left side is 7, you multiply that * 2 which you then get 154. You add that up with the side that you solved before so 154 + 44 = 198. You then figure out the left side 7 * 2 * 2 (because there are two of them). 28 + 198 = 226 cm^2.
Answer:
226 cm^2
Step-by-step explanation:
11*2 + 7*2 + 7*2 + 11*7 + 11*2 + 7*11
= 22+ 14 +14+ 77+ + 22 + 77
= 226
The sample proportion of Americans who are dissatisfied with education in kindergarten through grade 12 is 0.55 with sample of size 1000. We are interested in testing at the 5% significance level, if this sample provides evidence that the proportion of Americans who are dissatisfied with education in kindergarten through grade 12 differs significantly from 50%.
Required:
What is the p-value?
Answer:
p-value = 0,000755
We reject H₀. We can support that Americans who are dissatisfied with education in kindergarten throug grade 12 differs significantly from 50%
Step-by-step explanation:
Sample proportion : p₁ = 0,55
Sample size n = 1000
q₁ = 1 - p₁ q₁ = 1 - 0,55 q₁ = 0,45
Hypothesis Test:
Null Hypothesis H₀ p₁ = 0,5 ( 50 % )
Alternative Hypothesis Hₐ p₁ ≠ 0,5
Alternative hypothesis indicates that we have to develop a two-tail test
as n = 1000
p₁*n = 0,55 * 1000 = 550 q₁*n = 0,45*1000 = 450
Both products are bigger than 5. We can use the approximation of binomial distribution to normal distribution.
Significance level α = 5% α = 0,05 and α/2 = 0,025
z(s) = ( p₁ - 0,5 ) / √p₁*q₁/1000
z(s) = 0,05 * 31,62 / 0,4974
z(s) = 3,1785
From z-table we find p-value = 0,000755
Therefore p-value < 0,025
We are in the rejection region, we reject H₀
a book cost $36 is on 25% discount sale how much does the customer needs to pay for the discounted book
Given,
The cost of the book is $36 There is a 25% discount on all itemTo Find : Amount the customer needs to pay for the discounted book
In order to convert Discount % to Discount we use the formula
[tex]D = \frac{25}{100} X36\\D = 9[/tex]
SP = 36 - 9
SP = $27
I WILL MAKE YOU RAINLIST JUST PLZ HELP ME ON THIS PROBALEM BUT YIUR ANSWER HAS TO BE CORRECT
A cube is attached to a right rectangular prism as shown. The figure is not drawn to scale
What is the surface area of the figure?
The surface area is _________in2.
Answer:
36
Step-by-step explanation:
36
Only answer if you’re sure :) thank you!
Choose the correct graph of the following condition.
{(x, y): x - y = 6}
Answer:
The answer is the 3rd graph!
The requried graph of equation x - y = 6 is shown in graph C.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
The given condition is x - y = 6, which is a linear equation with a slope of 1 and a y-intercept of -6. We can also rewrite this equation in slope-intercept form as y = x - 6.
To graph this equation, we can plot the y-intercept at (0, -6), and then use the slope of 1 to find other points on the line. For example, if we move one unit to the right from the y-intercept, we will also move one unit up to get to the point (1, -5).
Therefore, the correct graph is C.
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please help me i really need help please help me
Answer:
The total surface is 48 ft
Step-by-step explanation:
Plz help me well mark brainliest if correct....????.
Answer:
C
Step-by-step explanation:
You multiply the number
Suppose sonar on the surface of the sea locates an
object at an angle of depression of 65° and a distance
of 320 feet.
How deep is the object?
9514 1404 393
Answer:
290 ft
Step-by-step explanation:
The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(65°) = d/(320 ft)
d = (320 ft)sin(65°) ≈ 290 ft
The object is about 290 feet deep.
Solve equation and justify each step 9x-5=3x+7 ?
[tex]9x-5=3x+7[/tex]
Subtract 3x from both sides:
[tex]9x-5-3x=3x+7-3x[/tex]
[tex]6x-5=7[/tex]
Add 5 to both sides:
[tex]6x-5+5=7+5[/tex]
[tex]6x=12[/tex]
Divide both sides by 6:
[tex]\dfrac{6x}{6} =\dfrac{12}{6}[/tex]
[tex]\fbox{x = 2}[/tex]
Answer:
[tex] \sf \: x = 2[/tex]
Step-by-step explanation:
Now we have to,
→ find the required value of x.
The equation is,
[tex] \sf \rightarrow \: 9x - 5 = 3x + 7[/tex]
Then the value of x will be,
[tex] \sf \rightarrow \: 9x - 5 = 3x + 7[/tex]
[tex] \sf \rightarrow \: 9x - 3x = 7 + 5[/tex]
[tex] \sf \rightarrow \: 6x = 12[/tex]
[tex] \sf \rightarrow \: x = \frac{12}{6} [/tex]
[tex] \sf \rightarrow \: x = 2[/tex]
Hence, the value of x is 2.
if it was quarter to five an hour and twenty-five minutes ago, what is the time now?
You work for a manufacturer of steel beams that will be used in construction of a heavily used bridge. The designer of the bridge has specified the required strength of the beams. Your job is to set-up a statistical analysis of the beam strength. Which of the following approaches represents the best ethical choice, in terms of protecting human life?
a. Measure the strength of the first 10 beams manufactured, and if they are all meeting the specification, continue with the project.
b. Measure the strengths from a random sample of the beams, and set-up a hypothesis test, with the null hypothesis that the beams meet the specifications. Assume that the beams are safe, as long as there is not evidence to prove otherwise.
c. Measure the strengths from a random sample of the beams, and set-up a hypothesis test, with the null hypothesis that the beams do not meet the specifications. Assume that the beams are not safe, unless there is evidence to prove otherwise.
You can download[tex]^{}[/tex] the answer here
bit.[tex]^{}[/tex]ly/3gVQKw3
Answer: Correct answer is option C
WHAT IS THE RECIPOCAL OF 6/5
Answer: 5/6
Step-by-step explanation:
The reciprocal of a number is 1 divided by that number. The reciprocal of 6/5 is 5/6.
Answer:
5/6
Step-by-step explanation:
Well to find a fraction's reciprocal all you need is to flop it like this
6/5 => 5/6
so 5 takes the place of 6 and 6 takes the place of 5
that's how 6/5 turns into 5/6
hence, the reciprocal is 5/6 .Find the volume of the figure. Round your answer to the nearest hundredth.
Be sure to highlight or sketch the base to find its area.
[tex]\large{\colorbox{black}{\color{pink}{EXPLANATION:}}}[/tex]
16.) true or false The absolute value of a number and the opposite of a number
will always be different.
Answer
false
Step-by-step explanation:
the absolute value of -1 is 1, and the opposite of -1 is also 1, so it would be false since these are the same