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]
What are exponential functions?When the expression of function is such that it involves the input to be present as an exponent (power) of some constant, then such function is called exponential function.
There usual form is specified below. They are written in several such equivalent forms.
The function h(x) is a translation of the exponential function given as
[tex]g(x) = 2(3)^{x - 4}[/tex]
We have to determine, the h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward of 9 units, and a horizontal shift to the right 7 units.
The function h(x) is vertically stretched by 2.
[tex]h(x) = 2 (2(3)^{x - 4})\\\\h(x) = 4((3)^{x - 4})[/tex]
Vertically shift upward by 9,
[tex]h(x) = 4((3)^{x - 4})\\\\h(x) = 4((3)^{x - 4})- 9[/tex]
And a horizontal shift to the right 7 units,
[tex]h(x) = 4((3)^{x - 7})- 9[/tex]
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]
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James ordered a $10.20 meal and Mark ordered a $9.50 meal. If the sales tax is 7% and they leave a 15% tip on the price of the meal including tax, then what was the tota!?
Answer:
The total cost of the meal is $24.24
Step-by-step explanation:
Step 1: Combine the two meal costs.
10.20 + 9.50 = 19.70
Sales tax is 7%, so multiply 19.70 by 0.07 then add the sum to 19.70
19.70 * 0.07 = 1.379
19.70 + 1.379 = 21.079
They leave a 15% tip on the meal, including tax, so take 15% of 21.079 or 21.079 * 0.15, which equals 3.16185
Add 3.16185 to 21.079
This equals 24.24085
Round down to $24.24
) Your 2 year investment of $5,300 earns 2.9% and is compounded annually. What will
your total return be?
The total amount of return will be 5611.8573. The principal amount is compounded annually.
What is compound interest?Compound interest is computed on a loan or deposit based on the starting principle and the preceding period's accrued interest.
The given data;
P(PRINCIPAL)=5300
r(rate)=2.9%
n=1
t(time)=2
The total amount of return is found as;
[tex]\rm A= 5300 (1+\frac{29}{100} )^2 \\\\ A=5611.8573[/tex]
Hence,the total amount of return will be 5611.8573.
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(Multiple Choice and Picture Attached) Will give Brainiest!!
Using the box-and-whisker plot shown, find the quartile values and
Q--8, Q, = 8
8
O
Q=-4, = 6
6
O
q=-4, = 8
8
--8,Q,- 4
Answer:
Q1 = -4, Q2 = 6
Step-by-step explanation:
In this box-and-whisker plot, the first vertical line is the first quartile (-4), the second vertical line is the median (4), and the vertical line is the third quartile (6). The box contains the middle 50% of the data set.
if the average of 8 numbers is 12 what is the sum of 8 numbers
Answer:
Step-by-step explanation:
i do not feel like saying all the info soooo yea the answer is drumroll pls
16 i think well thats what i got
What is the probability that a subject selected at random from the above survey is a man or agrees with the survey statement?
a) 2/3
b) 21/50
c) 18/25
d) 7/40
Answer:
c) 18/25
Step-by-step explanation:
The total of all votes is 1000.
The total of all 'agree' votes is 420.
Since it is either agrees or is a man, we can add the 300 disagree male votes to 420, making 720 / 1000.
From there we simplify 720 / 1000 -> 18 / 25
what's the value of X?
Answer:
x=55
Step-by-step explanation:
since it’s a right angle do 90*-35*=55*
Hope this helps! ;-)
HELPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!
. Use the vectors v = -i +2j and w= -3i + 4j to find 5v + 8w.
O-29i+42j
O 10i-16j
O-4i + 7j
O2i+ 6j
put values
5(-i+2j)+8(-3i+4j)Do like you do algebraic addition
-5i+10j-24i+32j-5i-24i+10j+32j-29i+42jOption A
write the equation of the line passing through the point (-4 "-7)" and (8 "-17)"
Answer:
[tex]y = -\dfrac{5}{6} x -\dfrac{31}{3}[/tex]
In order to find equation:
Find slope:
[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{rise}{run}[/tex]
[tex]\rightarrow \sf slope: \dfrac{-17-(-7)}{8-(-4)}[/tex]
[tex]\rightarrow \sf slope: -\dfrac{5}{6}[/tex]
Then find equation using:
y - y1 = m(x -x1) where (x1, y1) are points, m is slope
[tex]\sf \rightarrow y - (-17) = -\dfrac{5}{6} (x - 8)[/tex]
[tex]\sf \rightarrow y = -\dfrac{5}{6} x + \dfrac{20}{3} -17[/tex]
[tex]\sf \rightarrow y = -\dfrac{5}{6} x -\dfrac{31}{3}[/tex]
Help. Please and thanks.
Answer:
(2,6)
Step-by-step explanation:
What is a dilation?
A dilation is a type of transformation that resizes an object.
To apply a dilation ( find the coordinates of a point after a dilation ) you must multiply the x and y values of the coordinates by the scale factor
Applying the dilation rule
We want to find the coordinate of vertex B after a dilation with a scale factor of 2. To do so we multiply the x and y value of vertex b by the scale factor or 2
Current coordinates of the triangle :
A(1,1) B(1,3)C(3,1)Coordinates after dilation
A' = (1,1) ===> (1×2,1×2) ===> (2,2)
B' = (1,3) ===> (1×2,3×2) ===> (2,6)
C' = (3,1) ===> (3×2,1×2) ===> (6,2)
The coordinate of the vertex B after the dilation is (2,6)
Find the slope of the line that passes through the following two points. (1,0) and (3,0)
y = - 0
The line is horizontal.
Convert from radians to degrees. Use pi = 3.14. Round your answer to the nearest tenth of a degree.
1.4 radians = _____
A. 80.3*
B. 25.7*
C. 40.1*
D. 15*
E. 131.8*
Need an answer STAT. Please :( I’ll give brainliest Fr
[tex]1.4 ~ \text{Radians}\\\\=\left( 1.4 \times \dfrac{180}{\pi}\right)^{\circ}\\\\=\left( \dfrac{252}{3.14}\right)^{\circ}\\\\=(80.3)^{\circ}[/tex]
[tex]\text{Hence the answer is A.}[/tex]
A marketing company is interested in the proportion of people that will buy a particular product. Match the vocabulary word with its corresponding example.
Each of the statistical jargons will be matched to the corresponding meaning or similarity or example.
Matching word to the corresponding example?The corresponding example of the word can be matched as follows:
Population : All the people in the marketing company region.
In statistics, a population is a group of individuals from which are subject to study.
Sample: The 380 randomly selected people who are observed to see if they will buy the product.
A sample represents the group of interest from a population, this group represent the data.
Variable: The answer Yes or No to whether a person bought the product Variable in statistic are any number or quantity that can be measured.
Data: The list of the 380 Yes or No answers to whether the person bought the product.
Data are the figures that are collected, analysed, and summarized for interpretation.
Parameter: The proportion of all people in the company's region who buy the product
Statistics: The proportion of the 380 observed people who buy the product
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Other question! 5th grade! help asap
The names of this polygon include:
Acute triangle. Scalene triangle. Which polygon is described?The polygon given has three sides which means that it is a triangle. It is an acute triangle because the angles are all less than 90°.
It is also a scalene triangle because all the sides have different lengths from each other.
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Answer:
Step-by-step explanation:
I: acute triangle
L: Isosceles triange
(sorry if im wrong i have not done this in a good few years lol)
in a certain triangle angle c is 40 degrees more than the sum of the measure of angle a and angle b. the measure of angle a is 20 degrees less than the measure of angle b. find the measure of each angle
Step-by-step explanation:
the sum of all angles in a triangle is always 180°.
angle c = angle a + angle b + 40
angle a = angle b - 20
angle a + angle b + angle c = 180
using the second equation in the first :
angle c = (angle b - 20) + angle b + 40 = 2×angle b + 20
using this and the second equation in the third equation :
(angle b - 20) + angle b + (2×angle b + 20) = 180
4×angle b = 180
angle b = 45°
angle a = angle b - 20 = 45 - 20 = 25°
angle c = angle a + angle b + 40 = 25 + 45 + 40 = 110°
Which of the following sets does not contain any irrational numbers?
PICTURE OF SETS SHOWN BELOW.
Thank you so much
In "The Emperor's New Clothes" what does the opening tell you about the narrator?
A. second person narrator
B. third person narrator
C. no narrator
Answer:
third person
Step-by-step explanation:
Whát are the quotient and remainder of (x^5-x^3 +1-5) / (x - 2)?
a. x + 2x2 + 9x + 13; 21
x + 2x2 + 3x + 6x + 13; -21
b. x + 2x + 3x2 + 6x + 13; 12
d. + 2x2 + 3x2 + 6x + 13:21
Answer:
x⁴+2x³ +3x²+6x +12r is the answer
In a classroom of 20 kids, 3 girls are named Stephanie and 2 boys are
named John. The probability that a student picked at random is named
something other than Stephanie or John is what out of what?
Answer:
3/4 or 15/20
Step-by-step explanation:
this is because, you know there is 3 girls named the same thing and two boys named the same thing so if you know there are 20 people in the class, you do 3g + 2b = 5/20
So the fraction is either 15/20 or 3/4 for reduced fraction.
Are a 10-degree angle and a 65-degree angle complementary
angles?
Are a 40-degree angle and a 50-degree angle
complementary angles?
Are a 140-degree angle and a 40-degree angle
supplementary angles?
Are a 120-degree angle and a 60-degree angle
complementary angles?
Answer:
Complementary angles means sum of angles must to 90 degrees.
Supplementary angles means sum of angles must be 180 degrees.
1.
10 degree + 65 degree = 75 degree
10 degree + 65 degree ≠ 90 degree
So, 10-degree angle and a 65-degree angle are
not complementary angles.
2.
40 degree + 50 degree = 90 degree
So, 40-degree angle and a 50-degree angle are
complementary angles.
3.
140 degree + 40 degree = 180 degree
So, 140-degree angle and a 40-degree angle are
supplementary angles.
4.
120 degree + 60 degree = 180 degree
120 degree + 60 degree ≠ 90 degree
So,120-degree angle and a 60-degree angle are
not complementary angles
A rectangular school yard is 96 meters wide and 178 meters long. What is its perimeter?
Answer: 69 square meters
Step-by-step explanation:
What would the graph of f(x)=2arcsin (x-4)+1, look like?
The graph of the given function f(x)=2arcsin (x-4)+1, looks like the curve.
We have given that the function
f(x)=2 arcsin (x-4)+1,
We have to determine the graph of f(x)
Therefore we gave
Graph
Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.
What are the coordinates of the graph?
An ordered pair (x, y) represents a position of a point on a coordinate graph, where x is the number on the x-axis that the point lines up with and y is the number on the y-axis that the point lines up with.
The numbers x and y in the ordered pair (x, y) are called coordinates.
We find the coordinate of the given graphs and draw a graph of the given function.
x f(x)
3 −π−1
7/2 −π/3−1
4 −1
9 2π/3−1
5 π−1
Therefore the graph of the given function is
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25 points please help
Answer:
See below ~
Step-by-step explanation:
The functions which have a range ≥ -1 :
y = |x - 1| + 2y = |x + 2| - 1The first function (according to the attachment) is not part of this because on applying any value for x, it will be either less than or equal to -1.
1. From where do we get fibre?
Answer:
Grain, fruit, and vegetables are where natural fibers are found.
Please help! Algebra 2
[tex]y = \sqrt[3]{x - 8} [/tex]
When translating the function in the positive x direction, we have to subtract the value from x
A firm pays $52 for a car seat and wants a 34% markup for operating expenses as well as a 6% markup for profit. However, customers think the car seats are ugly, so they are not selling. Management reduces the price of each car seat by $25 to get rid of them.
Answer:
See Below
Step-by-step explanation:
Initial cost = $52
Markup for operating expenses = 34%
$52 + 34% = $52*1.34 = $69.68
Markup for profit = 6%
69.68 + 6% = 69.68*1.06 = 73.86 (rounded)
a) The selling price is $73.86
b) The reduced price is:
$73.86 - $25 = $48.86
c) The percent of markdown:
25/73.86*100% = 33.85% (rounded)
d) The absolute loss:
$69.68 - $48.86 = $20.82
How do i make a bestfriend
Answer:
Just add me and let's our journey begins :3
Step-by-step explanation:
Just add me and let's our journey begins :3
A rug had a length of 9 feet and a width of 3 feet what is the perimeter of the rug
Answer:
24 ft
Step-by-step explanation:
to find the perimeter of rug is you have to add 9+9+3+3= 24
Isosceles and equilateral triangles
Solve for X
Answer:
11
Step-by-step explanation:
48 = 4x + 4 two of its angles are equal in measurement
- 4 - 4
44 = 4x
---- ----
4 4
11 = x
Could you help me with this for 50? points.
