The graph below shows a transformation of y
- 2x
Write the equation for the graph in the comment
Answers
Answer:
[tex]y=-2^{(x+2)}+1[/tex]
Step-by-step explanation:
Equation of the parent function of the graph attached is,
y = [tex]2^{x}[/tex]
Let the equation of the transformed function function shown in the graph be,
y = a(2ˣ) + b
Now we will find the values of a and b by substituting the points lying on the curve.
For (-2, 0),
0 = a(2⁻²) + b
[tex]\frac{a}{4}+b=0[/tex] ------(1)
For (0, -3),
-3 = a(2⁰) + b
a + b = -3 --------(2)
Subtract equation (1) from equation (2),
(a + b) - ([tex]\frac{a}{4}+b[/tex]) = 0 + 3
[tex]\frac{3a}{4}=3[/tex]
a = -4
From equation (2),
-4 + b = -3
b = 1
Therefore, equation of the transformed function will be,
[tex]y=-4(2^x)+1[/tex]
[tex]y=-2^{2}(2^x)+1[/tex]
[tex]y=-2^{(x+2)}+1[/tex]
Graph transformation is the process by which an existing graph is modified to produce a variation of the proceeding graph.
Equation of transformed graph is, [tex]y=-2^{x+2}+1[/tex]
Here, equation of original graph is given, [tex]y=2^{x}[/tex]
Let us consider, equation of transformed graph is, [tex]y=m(2^{x} )+n[/tex]
Since, given graph passing through points (-2,0) and (0,-3)
Substituting above points into equation.
We get two equation,
m +4n = 0
m + n = -3
After solving, we get m= -4 and n = 1
So, equation becomes [tex]y=-2^{x+2}+1[/tex]
Learn more:
https://brainly.com/question/10510820
Related Questions
A segment has endpoints A (-1, 1) and B (8, 4) .
If the segment is divided into four equal parts, the coordinates of the point closest to point A are _____?
Answers
Answer:
fafafsghdjdbdbdgsysvdve. wwmsk
Order 51.835, 51.836, 51.736, and 51.837 in decreasing order.
Answers
Answer:
D.)51.837, B.)51.836, A.)51.835, C.)51.736
Step-by-step explanation:
its decreasing in this order
Answer:
51.837 > 51.836 > 51.835 > 51.736
how many hours are there in 1 month if there are 31 days in a month. Will mark brainliest.
Answers
Answer:
744
Step-by-step explanation:
in one day there is 24 hours if you multiply 24*31 it will be 744hours in total .24*31=744so you multiply the amount of time with the amount of days :)hope you get it !please mark me brilliant if im rightthank you :3Which statements about opposites are true? (Select all that are correct)
Answers
Help me plz
It’s 8th grade math
And ion know what the answer is..
Answers
Answer:
B slope = 1 and y intercept is 3
Step-by-step explanation:
The y intercept is where the line crosses the y axis (x is zero).
The slope can be figured by how far the line rises and runs to the next intersection of lines. In this case it goes up 1 and to the right 1. The slope would be 1/1 or 1
Answer:
Slope =1 ; Y-intercept=3
Step-by-step explanation:
The y intercept would be the point on the vertical line that touches the graph which in this case is three.
then to get to the next point that's on the line would have to move over 1 once to the right and one time up. so the slope is 1 over 1 which would equal 1.
Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Troy bought five notebooks and five thumb drives for $110. Lisa bought three notebooks and five thumb drives for $102. Find the cost of each notebook and each thumb drive.
Answers
Answer:
Notebooks cost $4
Thumb drives cost $18
Step-by-step explanation:
x=$ for notebooks
y=$ for thumb drives
5x + 5y = 110 ----> for Troy
3x + 5y = 102 ----> for Lisa
Use subtraction to find x.
(5x + 5y = 110)
-(3x + 5y = 102)
_____________
2x + 0y = 8
2x = 8
x=4
Sub 4 for x into 5x + 5y = 110
20 + 5y = 110
-20 -20
___________
5y = 90
y=18
Notebooks cost $4
Thumb drives cost $18
Suppose that a sample of n students at the same university (instead of n) determines that % of the sample use the web browser. At the level of significance, is there evidence that the market share for the web browser at the university is greater than the worldwide market share of %?
Answers
Complete Question
The worldwide market share for a web browser was 20.5% in a recent month. Suppose that a sample of 200 random students at a certain university finds that 50 use the browser.
At the 0.05 level of significance, is there evidence that the market share for the web browser at the university is greater than the worldwide market share of 20.5%?
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the market share for the web browser at the university is greater than the worldwide market share of 20.5 %?
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.205[/tex]
The sample size is n = 200
The number that uses the browser is k = 50
The level of significance is [tex]\alpha = 0.05[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{50}{200}[/tex]
=> [tex]\^ p = 0.250[/tex]
The null hypothesis is [tex]H_o : p = 0.205[/tex]
The alternative hypothesis is [tex]H_a : p > 0.205[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \^ p - p }{ \sqrt{ \frac{ p (1 - p )}{ n} } }[/tex]
=> [tex]z = \frac{ 0.250 - 0.205 }{ \sqrt{ \frac{ 0.205 (1 - 0.205 )}{ 200} } }[/tex]
=> [tex]z = 1.5764[/tex]
Generally the area under [tex]z = 1.5764[/tex] to the right is
[tex]p-value = P( Z > 1.5764 ) = 0.057467[/tex]
From the value we obtained we can see that the [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the market share for the web browser at the university is greater than the worldwide market share of 20.5 %?
How many 2/3 cup servings are in 28/3 cups of yogurt
Answers
The answer fam is..... 14
Hey, I just need to know if I was correct with my test.
Answers
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Statistics,
If we see here, The Andrew is working for 20 hours and his pay for 20hours is, $175
so for 1 hour, he gets = 175÷20 => $8.75 per hour
, so now after 1 year, his pay increases by $1.05 per hour, then we have to add this new amount of pay in his old amount, so that we can show that his pay is actually INCREASED, so the new pay is given as,
$8.75 + $1.05 (per hour)= $9.80
so now his total pay is given as,
E= 9.80h
Option D.) is correct
What is a factor of 12
Answers
Answer:
2 x 3 (prime number, 2 distinct)
Step-by-step explanation:
what type of number is -16 square root
Answers
Answer:
Irrational Number
Step-by-step explanation:
The irrational numbers are those that cannot be expressed as a ratio of two integers. Examples are as well as the square roots of many other numbers, and special numbers like e and π. It turns out that there are as many irrational numbers as rational. Irrational numbers have no exact decimal equivalents.
Hope this helps (:
Answer:
Irrational number
Step-by-step explanation:
i had it on khan academy
67
Name
_Michael Goodger Lesson 4 Homework
1.Convert and write an equation with an exponent.
A. 2 meters to centimeters
2m = 200 cm
2 x 10 = 200
B. 108 centimeters to meters 108 cm = 1 m
1.08% 101=108
C. 2.49 meters to centimeters 2.49 m = 249
cm
2.49x 103= 249
D. 50 centimeters to meters 50 cm = 1 m
50x1=50
E 6.3 meters to centimeters 6.3 m = 63 cm
6.3x63=63
F 7 centimeters to meters Icm = _
m
In the space below, list the letters of the problems where smaller units are converted to larger units.
2. Convert using an equation with an exponent. Use your meter strip when it helps you.
a. 4 meters to millimeters
mm
b. 1.7 meters to millimeters
mm
1050 millimetorn
m =
m =
Answers
Answer:
Step-by-step explanation:
1)
A. 2 meters to centimeters
1 m = 100 cm
[tex]2 m = 2 \times 100 \\2 m = 200 cm = 2 \times 10^2[/tex]
B)108 centimeters to meters
100 cm =1 m
[tex]1 cm = \frac{1}{100} m \\108 cm = \frac{108}{100}=108 \times 10^{-2} m[/tex]
C)2.49 meters to centimeters
1 m = 100 cm
[tex]2.49 m = 2.49 \times 100 = \frac{249}{100} \times 100 = 249 cm[/tex]
D)50 centimeters to meters
100 cm = 1m
[tex]1 cm = \frac{1}{100} m \\50 cm = \frac{50}{100}= 5 \times 10^{-1} m[/tex]
E)6.3 meters to centimeters
1 m = 100 cm
[tex]6.3 m = 6.3 \times 100=\frac{63}{10} \times 100 = 630 cm[/tex]
F)7 centimeters to meters
100 cm = 1 m
[tex]1 cm = \frac{1}{100} m\\\\7 cm = \frac{7}{100} = 7 \times 10^{-2} m[/tex]
2)
a)4 meters to millimeters
1 m = 1000 mm
[tex]4 m = 4000 = 4 \times 10^3 mm[/tex]
b)1.7 meters to millimeters
1 m = 1000 mm
[tex]1.7 m = 1.7 \times 1000= \frac{17}{10} \times 1000=17 \times 10^2 mm[/tex]
Identify the terms, coefficients, and constants in the expression.
7h + 3
I need help now!!!!!
Answers
Step-by-step explanation:
7 is the coeffiecient
3 is the constant
Help I’m stuck and confused
Answers
Answer:
-8
Step-by-step explanation:
A triangle is always 180 degrees
(btw I'm not sure if this is addition or multiplication so sorry if i'm wrong!)
65 + 40 = 105
180 - 105 = 75
75 - 83 = -8
Answer:
the angle itself is 75 degrees so x=-8
Step-by-step explanation:
someone please help me from 6 to 9 please
Answers
Answer:
For 6.) y=-2x+1; 9.) y=-7/3x-5
Step-by-step explanation:
Slope intercept form is y=mx+b. m would be the slope (-2 and -7/3) and y is the y-int (1 and -5).
A recipe asks that the following three ingredients be mixed together as follows: add 1/2 of a cup of flour for every 1/2 of a teaspoon of baking soda, and every 1/4 of a teaspoon of salt.
Which of the following rates are unit rates equivalent to the ratios shown above? Select all that apply.
Answers
Answer:
Option 2: 1 teaspoon of baking soda per 1 cup of flour
Option 3: ½ teaspoon of salt per 1 teaspoon of baking soda
Step-by-step explanation:
The recipe has 3 ingredients mixed in the following ratio =>
½ of a cup of flour : ½ of a teaspoon of baking soda : ¼ of teaspoon of salt
Let's analyse each given options to see which rate is correct or not using the above ratio that makes a recipe:
Option 1 => 2 teaspoon of salt : 1 teaspoon of baking soda.
¼ salt : ½ baking soda
2 salt : x baking soda
Thus, ¼ / ½ = ²/x
Cross multiply
¼*x = ½*2
x/4 = 1
x = 4
Therefore, 2 teaspoon of salt will need 4 teaspoon of baking soda not 1.
Option 2 => 1 teaspoon of baking soda : 1 cup of floor.
½ baking soda : ½ flour
1 baking soda : x flour
Thus, ½ / ½ = ¹/x
Cross multiply
½*x = ½*1
x/2 = ½
Multiply both sides by 2
x = ½*2
x = 1
Therefore, 1 teaspoon of baking soda will need 1 cup of floor. This is correct.
Option 3 => ½ teaspoon of salt : 1 teaspoon of baking soda.
¼ salt : ½ baking soda
½ salt : x baking soda
Thus, ¼ / ½ = ½/x
Cross multiply
¼*x = ½*½
x/4 = ¼
Multiply both sides by 4
x = ¼*4
x = 1
Therefore, ½ teaspoon of salt will need 1 teaspoon of baking soda. This is correct.
Option 4 => 1 teaspoon of baking soda : 2 teaspoon of salt.
½ baking soda : ¼ salt
1 baking soda : x salt
Thus, ½ / ¼ = 1/x
Cross multiply
½*x = ¼*1
x/2 = ¼
Multiply both sides by2
x = ¼*2
x = ½
Therefore, 1 teaspoon of baking soda will need ½ teaspoon of salt not 2.
Option 5 => 2 teaspoon of salt : 1 cup of flour
¼ salt : ½ flour
2 salt : x flour
Thus, ¼ / ½ = ²/x
Cross multiply
¼*x = ½*2
x/4 = 1
x = 4
Therefore, 2 teaspoon of salt will need 4 cup of flour not 1.
The correct options are option 2 and option 3.
The equation x + y = z relates the whole numbers x, y, and z. How does z compare to x? If it helps, consider an example where you substitute 3 for x, 5 for y, and 8 for z
Answers
Answer:
The equation x + y = z relates the whole numbers.
Hopefully, this helps! :D
Ask your question below!
Help me find this answer please (honest and most best answers only)
Answers
The baby whale would be 35 years old.
[tex]7*10^3[/tex] in standard notation is 7000
To find the whales age, you must divide 7000 by 200, which is 35.
Solving the for angle NMP. *
Answers
Answer:
50°
Step-by-step explanation:
Angle NMP is an angle that has its vertex on a point along the circumference of the circle, thus, angle NMP is referred to as an inscribed angle of the circle.
The measure of an inscribed angle is equal to half of the measure of the arc it intercepts.
Therefore, the following equation shows the relationship between inscribed angle NMP and arc NP:
m<NMP = ½ × measure of arc NP
m<NMP = ½*100
m<NMP = 50°
simplify these numbers
1. 125 5. 384
2. 458 6. 15710
3. 438 7. 2549
4. 10512 8. 8920
Answers
Evaluate 9sigma n=5 3n+2
Answers
Answer:
17
Step-by-step explanation:
make me as brienliest
a certain bike travels 135 feet in 20 rotations of its wheels. how far will the bike travel in 45 rotations
Answers
Answer:
303.75
Step-by-step explanation:
135/20=6.75
6.75•45= 303.75
A school has 726 students. There are 340 boys. About what percent of the students are girls?
Answers
Answer: 348 girls so somewhere around 80 percent
Step-by-step explanation:
math more math and more math i mark as brainly
Answers
Answer:
It's the first one
Its A
PLEASE MARK ME AS THE BRAINLIEST!!!!!!!!!!!!!!!!!!!!
At Nancy's Newsstand, 3 magazines cost $18.00. How many magazines could you buy with $72.00?
Answers
Answer:
12
Step-by-step explanation:
if 3 magazines = $18
$72/$18 = 4 sets of 3
4 x 3 = 12 magazines
HELP : calculating slope between two points.
Answers
Answer:
(1.)3.5 (2.)-3 (3)0
Step-by-step explanation:
if right comment please
1. m=7/2
2.m=-3
3.m=0
Match the numbers with the correct label
Answers
Answer:
a= -3/7
b= -0.2
c = -2/8
Step-by-step explanation:
Answer:
-3/7
-2/8
-0.2
Step-by-step explanation:
i did it on khan
Find the directional derivative of the function at the given point in the direction of the vector v. g(p, q) = p4 − p2q3, (2, 1), v = i + 3j
Answers
Answer:
-4√10 / 5 or -8√10 / 5
Step-by-step explanation:
See attachment for calculation
The sum of two numbers is 64 and the difference is 6. What are the numbers?
Larger number:
Smaller number:
x
?
Check
© 20
o
a
Tyne here to search
Answers
Answer:
29 and 35
Step-by-step explanation:
x+y=64
x-y=6
Solve by substitution.
x=6+y
6+y+y=64
6+2y=64
y=29
Then plug in 29 for y.
x+29=64 ......35
The two numbers that have a sum of 64 and a difference of 6 will be 29 and 35.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The sum of the two numbers is 64 and the difference is 6.
Let the two numbers be 'x' and 'y', and y is greater than x. Then the equations are given as,
x + y = 64 ...1
y - x = 6 ...2
Add both equations, then we have
y + y = 64 + 6
2y = 70
y = 35
Then the value of 'x' will be given as,
x + 35 = 64
x = 29
The two numbers that have a sum of 64 and a difference of 6 will be 29 and 35.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Help please !!! ASAP
Answers
Answer:
Plz rate five star and thanks me k your answer is D
Step-by-step explanation: