The function h(x) is a translation of the exponential function g(x) = 2(3)* - 4. What's
h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward 9
units, and a horizontal shift to the right 7 units?
Answers
Answer: The correct answer is A
Step-by-step explanation:
The function h(x) is a translation of the exponential function,
[tex]g(x) = 2(3)^{x-4}[/tex] is [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex].
Given that,
The function h(x) is a translation of the exponential function,
[tex]g(x) = 2(3)^{x-4}[/tex]
We have to determine,
What's h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward 9 units, and a horizontal shift to the right 7 units?
According to the question,
Exponential function; [tex]g(x) = 2(3)^{x-4}[/tex]
To find the translation in h(x) following all the steps given below.
Step1; The function h(x) is vertically stretched by 2.[tex]h(x) = 2(2(3)^{x-4} )\\\\h(x) = 4(3)^{x-4}[/tex]
Step2; Vertically shift upward by 9,[tex]h(x) = 4(3)^{x-4} \\\\h(x) = 4(3)^{x-4} - 9[/tex]
Step3; And a horizontal shift to the right 7 units,[tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex]
Hence, The function h(x) is a translation of the exponential function,
[tex]g(x) = 2(3)^{x-4}[/tex] is [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex].
To know more about Function click the link given below.
https://brainly.com/question/14418346
Related Questions
Solve 11x + 4 = 3x + 52 need this
Answers
______________________________
Hey!!
Solution,
11x+4=3x+52
or,11x-3x=52-4
or,8x=48
or,X=48/8
X=6
So, the answer is 6.
Hope this helps...
Good luck on your assignment
_____________________________
Answer:
11x+4=3x+52
11x-3x=52-4
8x=48
8x÷8=48÷8
x=6
the answer is x=6
Could someone explain why (-4)² is equal to 16 but -4² is equal to -16
Answers
Answer:
It's all about the brackets.
Step-by-step explanation:
If we do (-4)^2, the brackets make it -4 x -4 and the two negatives make a positive of 16.
If we do -4^2, that means that the 4 is squared before putting the minus sign there so you have 4x4 = 16 then put the minus to get -16.
Hope this helps!
treviglaslibrary
Answer:
4^2= 16
Step-by-step explanation:
This is because when you square something your are multiplying that number by itself. So in this case you must multiply 4 x 4 which is sixteen. Another example of this is 3^2 which is 9. In this case you must multiply 3 x 3 which is nine.
help plz!
Find the width of a cereal box that has a volume of 6,860 cm3 and is 35 cm long and 28 cm high.
Answers
Answer:
The width is 7 cm
Step-by-step explanation:
The volume of a cereal box is
V = l*w*h
6860 = 35 * w * 28
6860 =980 w
Divide each side by 980
6860/980 = w
7 = w
Answer:
35*28=6,860
980 = 6,860
divide by 980 to both side
_980__ = _6,860_
980 980
x = 7
Step-by-step explanation:
The ages of kids in a neighborhood are shown below. What is the mode?
5,8,3,1,5, 4, 4, 6, 12, 10,4
Answers
Answer:
the mode is 4
Step-by-step explanation:
the 4 appears more than the other numbers
Answer:
4
Step-by-step explanation:
Mode = Number shown the most.
Find the missing angles in the figure below.
Answers
Answer: The answer is A. Just check the only answer with y=z.
Answer:
First option is right.
Step-by-step explanation:
w=78 (vertically opposite angles)
l=82 (vertically opposite angles)
M= 180-64=116 (linear pair)
sorry im not sure how to find y and z
Divide 24.71/13 to 3 decimal place
Answers
Step-by-step explanation:
1.901
hope this helps.
Answer:
1.900769231
In three decimal places is 1.901
Step-by-step explanation:
HAVE A GOOD DAY!
write a reply to this letter informing the immediate steps that would be taken to solve the problem.
complain against improper garbage collection.
I would like to bring into your attention a problem that is faced by the residence of this area .we have noticed that there is no propose schedule of collection of garbage for the past few months .the original schedule day to collect garbage is on every Friday but this seems to miss this day most of times.
because of that we have faced a lot of problems on rainy days there is a bad odour in an around the area and there is a risk of spreading of diseases .
so please be kind enough to look into this matter as soon as possible .
*will give the brainliest!!
Answers
CAN YOU PLEASE INBOX ME ??
The rise is the
change in a line. The run is the
change in a line.
horizontal
vertical
Answers
Answer:
Horizontal
Step-by-step explanation:
Answer:
1- vertical
2-horizontal
Step-by-step explanation:
Read the defitions! Hope this helped!
What is the probability of picking an orange marble and flipping tails?
Answers
Answer:
D
Step-by-step explanation:
The probability of orange marble is [tex]\frac{1}{7}[/tex]
Probability of tails is [tex]\frac{1}{2}[/tex]
[tex]\frac{1}{2}*\frac{1}{7}=\frac{1}{14}[/tex]
What is the factored from of y2+6y-16
Answers
Answer:
(y + 8)(y - 2)
Step-by-step explanation:
Given
y² + 6y - 16
Consider the factors of the constant term (- 16) which sum to give the coefficient of the y- term (+ 6)
The factors are + 8 and - 2, since
8 × - 2 = - 16 and 8 - 2 = 6, thus
y² + 6y - 16 = (y + 8)(y - 2)
Answer is (y-2)(y+8)
6) A passenger train has tickets available for 12 window seats and 8 aisle seats. The next person to buy a ticket will be randomly assigned to one of those seats. What is the probability that the next person will be assigned to an aisle seat?
11) At a store, customers are randomly selected to participate in a survey. On Friday, there were 500 customers at the store. Of those, 90 were selected to participate in the survey. On Saturday, the store manager expects 700 customers in the store. If the probability of being selected to participate in the survey on Saturday is the same as it was on Friday, how many customers will be selected to participate in the survey on Saturday?
13) An owner of a small store knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with a credit card. Based on the number of customers from last week, explain in words why 15 is closest to the probability that the next customer will pay cash.
14) A store owner made a list of the number of greeting cards sold last month. The store sold 167 thank-you cards, 285 birthday cards, and 56 blank cards. Based on these data, write a decimal, rounded to the tenths place to show the probability that the next customer will buy a blank card.
Answers
Two sides of a parallelogram measure 60 centimeters and 40 centimeters. If one angle of the parallelogram measures 1320, find the
length of each diagonal.
a.about 86.4 cm and 54.2 cm
c.about 91.7 cm and 54.2 cm
b. about 91.7 cm and 44.6 cm
d. about 86.4 cm and 44.6 cm
Answers
Answer:
b. about 91.7 cm and 44.6 cm
Step-by-step explanation:
The lengths of the diagonals can be found using the Law of Cosines.
Consider the triangle(s) formed by a diagonal. The two given sides will form the other two sides of the triangle, and the corner angles of the parallelogram will be the measure of the angle between those sides (opposite the diagonal).
For diagonal "d" and sides "a" and "b" and corner angle D, we have ...
d² = a² +b² -2ab·cos(D)
The measure of angle D will either be the given 132°, or the supplement of that, 48°. We can use the fact that the cosines of an angle and its supplement are opposites. This means the diagonal measures will be ...
d² = 60² +40² -2·60·40·cos(D) ≈ 5200 ±4800(0.66913)
d² ≈ {1988.2, 8411.8}
d ≈ {44.6, 91.7} . . . . centimeters
The diagonals are about 91.7 cm and 44.6 cm.
Which equation describes the circle with center (5, -1) and
radius 4?
Answers
Answer:
[tex](x-5)^2+(y+1)^2=4^2[/tex]
Step-by-step explanation:
The equation is: [tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) = center.
[tex](x-5)^2+(y+1)^2=4^2[/tex]
Do 6,7 for 10 points.
Answers
Answer:
6. x = 3 7. x = 120 8. x= -5
Step-by-step explanation:
the first question is x(-4) + 3 = -9
find the value of x :
-4x + 3 = -9
we can subtract 3 on both sides since we have a value of 3 on the left, which will cancel the value out.
-4x = -12
-4(3) = -12
therefore the answer to problem 6 is x=3
and for 7 :
x / 6 - 9 = 11
we can add 9 on both sides which will cancel it out;
x/6 = 20
120/6 = 20
therefore the answer to the question 7 is 120.
For problem 8 it says :
-3x -5 = 10
we can add 5 on both sides to get:
-3x = 15
-3(-5) = 15
therefore the answer to problem 8 is -5
Nicole bought 0.54 kilograms of apples and 0.87 kilograms of oranges. How much fruit did
she buy in all?
kilograms
Answers
Answer:
1.41
Step-by-step explanation:
You add 0.54 by 0.87
x + y = 2
y=-3x2 + 3
Answers
Answer:
x, y = -3/2, -3/2
Step-by-step explanation:
photo math will be your best friend
Answer: y = 2/3 x -2/3
What is the FIRST step in solving this equation? 4x + 6 = 20 *
Answers
Answer:
Subtract 6 from each side
Step-by-step explanation:
4x + 6 = 20
Subtract 6 from each side
4x + 6 -6= 20 -6
4x = 14
Answer:
[tex]subtract \: \: \: 6 \: \: \: from \: \: each \\ side \: \\ [/tex]
Step-by-step explanation:
[tex]4x + 6 = 20 \\ subtract \: \: \: 6 \: \: \: from \: \: each \\ side \: \\ 4x = 20 - 6 \\ 4x = 14 \\ \\ [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Where to Dig: The dinosaur's
tail bones are at the solution
point to the system of
equations below.
- 2x - 7y = -250
y = 140
Every time you click a point
using the CPS, the equations
below will update. Remember,
the solution is the point that
makes both equations true.
-2( x ) - 7(y) =250 X
4( x) - (y) =140 X
Answers
Answer:
x = 41
y = 24
Step-by-step explanation:
Systems of equations is,
-2x - 7y = -250 ------(1)
4x - y = 140 ------(2)
Equation (1) multiplied by 2 then added to equation (2)
-4x -14y = -500
(+) 4x - y = 140
-15y = -360
y = [tex]\frac{360}{15}[/tex]
y = 24
by putting y = 24 in equation (2),
4x - 24 = 140
4x = 140 + 24
x = [tex]\frac{164}{4}[/tex]
x = 41
For x = 41 and y = 24 both the equations are true.
Equation (1), -2(41) - 7(24) = -250 [True]
Equation (2), 4(41) - (24) = 140 [True]
Answer:it’s 41 and 24
Step-by-step explanation:
Please Answer it’s simple but today I’m not feeling like myself who can help me? Please
I think the picture is better
Answers
Answer:
Step-by-step explanation:
Answer:
1440
Step-by-step explanation:
Volume of larger prism÷Volume of cube
that is;
Note:V=LWH
Therefore
[tex](6 \times \frac{5}{6 } \times 1 \times \frac{2}{6} ) \div ( { \frac{1}{6} })^{ 3}
= 1440[/tex]
Hope this answers your question!
Please follow my account.
Cheers!
Michael started a savings account with $100. After 6 weeks, he had $140, and after 12 weeks, he had $260. What is the rate of change of money in his savings account per week?
this question looks easy but nothing makes sense to me second half didn't line up with my answer
Answers
Answer:
Rate of change of money in Michael's account will be $20 per week.
Step-by-step explanation:
If we draw a graph for the duration of investment on x-axis and amount in the account on y-axis, ordered pairs for both the conditions will be,
After 6 weeks, amount in the account = $140
Ordered pair : (6, 140)
After 12 weeks, amount in the account = $260
Ordered pair : (12, 260)
Rate of change in hi account per week = [tex]\frac{\triangle y}{\triangle x}[/tex]
= [tex]\frac{260-140}{12-6}[/tex]
= [tex]\frac{120}{6}[/tex]
= $20 per week
Therefore, rate of change of money in Michael's account will be $20 per week.
In the notation "s(x) = ...," what does "s(x)" represent?
A.
The value of x depends on the value of s(x), since xis a function of s.
OB.
There is not enough information to answer this question.
C.
The value found when sis multiplied by the value x.
D.
The value of s(x) depends on the value of x, since s is a function of x.
Answers
Answer:
C
Step-by-step explanation:
I think
18 ÷ x = -2 what does x equal
Answers
Answer: x = -9
Step-by-step explanation:
18/x = -2
18x = -2x
x = -18/2 = -9
If the graph of a rational function R has the horizontal asymptote y = 2, the degree of the numerator of R equals the degree of the denominator of R. True or False
Answers
Answer: TRUE
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Sara rolls two dice, one black and one yellow. What is the probability that she will roll a 3 on the black die and 5 on the yellow die?
Answers
Answer:
1/6 x 1/6 = 1/36
Step-by-step explanation:
We have to multiply as the odds get smaller as in every experimental probability being from experimental one dice and then trying to achieve that number alongside and same timing another number on an inclusive 2nd dice.
Vector donated 1/5 of yesterday's sales plus an additional $125. He gave Azul $2,225 total. How much money did the store make in sales yesterday?
Answers
reduce to simplest form -1/3-(-3/5)
Answers
Answer:
4/15
Step-by-step explanation:
-1/3-(-3/5)
Subtracting a negative is like adding
-1/3 + 3/5
We need to get a common denominator of 15
-1/3 *5/5 + 3/5 *3/3
-5/15 + 9/15
4/15
Answer:
4/15
Step-by-step explanation:
-1/3 + 3/5 (2 negatives make a positive)
Taking the lowest common multiple, we get:
= (- 5 + 9)/15
= 4/15
Hope this helps!
Bonita drove 8 miles from her home to the library, and then drove back. Graph A shows her distance from home during the trip. Graph B will show her distance from the library during the trip. Complete each statement about Graph B.
Answers
Can u give me the options for the last 2
14. Catherine found that as she increases the price of a chocolate bar, the number of sales per week decreased.
Answers
Answer: the higher the price is the less competitive the sales
Step-by-step explanation:
say i were to raise a price extremely from $2 to $6 you would buy the other brand of candy that is $2
pls i need the help.
Answers
Answer:
3. 16a+24b
Step-by-step explanation:
I know this because I grouped the eqatiobs together
Answer:
#3. 16a + 24b
Step-by-step explanation:
P= 2( length plus width).
The triangles below are similar because of the:
4
Z
х
12
6
2
Y
A
B
9
0000
AA similarity postulate.
SSS similarity theorem.
SAS similarity theorem.
The triangles are not similar.
Answers
Insufficient evidence. Would you please send a screenshot or a picture of the paper?
