Answer:
D. g(x) = (3/2)(3^x)
Step-by-step explanation:
"Dilation" means the function is multiplied by some value. The y-intercept of f(x) is 3^0 = 1. We notice the y-intercept of g(x) is greater than 1, so the multiplier must be greater than 1.
The only such choice is ...
g(x) = 3/2(3^x) . . . . . choice D
__
Additional comment
g(1) is not 4.5 for choices A and B, so those can be eliminated. g(0) is not 3/2 for choice C, so that can be eliminated.
Solve B) simultaneously please
Answer: .....
Ok done. Thank to me :>
Solve each system of equations using the elimination method
3x+4y=23
3x-2y=11
Answer: (x,y) = (5,2)
In other words, x = 5 and y = 2
====================================================
Explanation:
Subtract the equations straight down.
The x terms subtract to 3x-3x = 0x and they go away (hence the term "elimination").The y terms subtract to 4y-(-2y) = 6yThe right hand sides subtract to 23-11 = 12We end up with 6y = 12 which solves to y = 2 after dividing both sides by 6.
Now use this y value to find x.
If we used the first equation, then we have these steps
3x+4y = 23
3x+4(2) = 23
3x+8 = 23
3x = 23-8
3x = 15
x = 15/3
x = 5
Or we could use the second equation
3x-2y = 11
3x-2(2) = 11
3x-4 = 11
3x = 11+4
3x = 15
x = 15/3
x = 5
We get the same x value either way.
The solution is (x,y) = (5,2)
To check the answer, plug those coordinates into each equation. After simplifying, you should get the same number on both sides.
------------------
Check:
3x+4y = 23
3(5)+4(2) = 23
15+8 = 23
23 = 23 .. that works
and,
3x-2y = 11
3(5)-2(2) = 11
15 - 4 = 11
11 = 11 .. that works as well
Both original equations are true for those x and y values.
The solution is fully confirmed.
Use the sketch below and determine how many squares will be in Step 4.
From step 1 to step 2 they added 3 squares.
From step 2 to step 3 they added 5 squares.
Each step they add the next odd number in sequence: 3,5,7,9,etc.
So for step 4 they would add 7 more squares. Add 7 to the number of squares in step 3 for total squares:
7 + 9 = 16
step 4 will have 16 squares.
find the value of the power.
0.9^2 =
Hello!
0,9^2
0,9²
0,9 × 0,9
0,81
The value of the power 0,9^2 is 0,81
_____________________________
Raul works at a movie theatre. The function f(x) represents the amount of money Raul earns per ticket, where x is the number of tickets he sells. The function g(x) represents the number of tickets Raul sells per hour, where x is the number of hours he works. Show all work to find f(g(x))
Answer:
Step-by-step explanation:
Function f(g(x)) is the amount of money Raul earns per ticket sold.
here are the steps to find f(g(x)):
Define the functions f(x) and g(x).
f(x) = amount of money Raul earns per ticket
g(x) = number of tickets Raul sells per hour
Substitute g(x) for x in the function f(x).
f(g(x)) = amount of money Raul earns per ticket * number of tickets Raul sells per hour
Simplify the expression.
f(g(x)) = amount of money Raul earns per ticket * number of tickets Raul sells per hour
= amount of money Raul earns per ticket sold
Therefore, f(g(x)) is the amount of money Raul earns per ticket sold.
Here is an example:
Let's say f(x) = $10 and g(x) = 2 tickets/hour. If Raul works for 1 hour, he will sell 2 tickets and earn $20.
f(g(x)) = f(2) = $10 * 2 = $20
To learn more about Function here:
https://brainly.com/question/30721594
#SPJ2
Find the value of f(-7).
y =f(x)
―6 + (4 + 4)2 ÷ 2
This is my problem I need help with
Answer:
2
Step-by-step explanation:
you do the (* first so it 8 then you add it with -6 which decreases it that makes 2 and 2 divided by 2 is one so add all together and get 2
At a grocery store, 7 apples and 2 oranges will cost $12.80. In addition, 6 apples and 3
oranges cost $12.00. Assuming that we are talking about the same apples and oranges, what is the
cost of 1 apple? What is the cost of 1 orange? Let x represent the cost of an apple
and y represent the cost of an orange. Show ALL work!
Equation #1:
Equation #2:
Cost of 1 apple: $
Cost of 1 orange: $
Answer:
Equation 1: 7x + 2y = 12.8
Equation 2: 6x + 3y = 12
Cost of 1 apple: $1.60
Cost of 1 orange: $0.80
Cost of 1 orange: $Step-by-step explanation:
Let's use the elimination method to solve this
Multiply equation 1 by 3
(7x + 2y = 12.8) x 3 = 21x + 6y = 38.4
Multiply equation 2 by -2
(6x + 3y = 12) x -2 = -12x - 6y = -24
The x terms will cancel each other out
21x + 6y = 38.4
-12x - 6y = -24
9x = 14.4
Divide by sides by 9 to isolate the x variable
9x/9 = 14.4/9
x = 1.6
This means an apple costs $1.60
Plug the new x into one of the original equations to find y; we'll use equation 1
7(1.6) + 2y = 12.8
11.2 + 2y = 12.8
Subtract 11.2 from both sides
11.2 + 2y = 12.8
- 11.2 - 11.2
2y = 1.6
Divide both sides by 2
2y/2 = 1.6/2
y = 0.8
This means an orange costs $0.80
Please answer quickly ( 70 points)
Answer:
maybe 4 hours
____________
Answer: 4 hours
Step-by-step explanation: 10 for the first hour then 12 x 4=58
In a city, 49% of the adults are male. Of the adults, 24% are male and rent action-movie DVDs and 10% are female and rent action-movie DVDs.
If an adult is randomly picked, the probability that the person rents action-movie DVDs, given that the person is female, is
.
Answer:
I getting the probability of the adult female that will rent the action movies in DVDs in by dividing the possible probability outcome which is 10% of all adults by the total number of possible outcome. So all of the population of the female is 51% and the ones who rent is only 10%. the probability is 19%
The solution is, 0.20 is the probability that the person rents action-movie DVDs, given that the person is female.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
given that,
Data:
A: the adult is a male, P(A) = 0.49
B: the adult rent action-movie DVDs
C: the adult is a female, P(C) = 1 - P(A) = 1 - 0.49 = 0.51
24% of the adults are male and rent action-movie DVDs, then P(A ∩ B) = 0.24
10% of the adults are female and rent action-movie DVDs, then P(C ∩ B) = 0.10
The conditional probability of B (the adult rents action-movie DVDs) given C (the adult is female) is computed as follows:
P(B|C) = P(C ∩ B)/P(C)
= 0.1/0.51
= 0.2
Hence, The solution is, 0.20 is the probability that the person rents action-movie DVDs, given that the person is female.
To learn more on probability click:
brainly.com/question/11234923
#SPJ7
A gardener needs to plant 60 plants.In 2 hours, he planted 25% of the plants. How many plants does he still have left to plant?
Answer:
45
Step-by-step explanation:
Because 15 plants is 25% of 60 plants
Hope it helps :)
Help me with geometry please
SAS
=========================================
Explanation:
SAS = side angle side
One pair of congruent sides is AC = CE (single tickmark). That takes care of one "S" of "SAS".
The other pair of congruent sides is BC = CD (double tickmark). This takes care of the other "S" of "SAS". The order of the "S" terms doesn't matter as long as the angles are between those sides.
The congruent pair of angles is angle ACB = angle ECD. Vertical angles are always congruent. Since we have a pair of congruent angles, this takes care of the "A" of "SAS". The angles are between the sides mentioned in the previous paragraphs.
What is 22 (Square root) rounded to the nearest whole number?
Answer:
[tex]\sqrt{22}\approx5[/tex]
Step-by-step explanation:
We know that [tex]\sqrt{16}=4[/tex] and [tex]\sqrt{25}=5[/tex], so since 22 is closest to 25, then we can say that [tex]\sqrt{22}\approx5[/tex]
14. Find the distance between points P(3, 2) and Q(3, 8) to the nearest tenth.
Answer: 6
Step-by-step explanation:
Please answer quickly.
Answer:
"In addition"
Step-by-step explanation:
"In addition" is redundant because of what's said before it. "but some people also add lemon juice" is a way stronger sentence overall.
2.6 m wide. What's the area of a
single panel?
Answer: Area = l × w
= 1 × 2.6
= 2.6 feet2
Step-by-step explanation:
What is the answer I’ve been stuck on this for way too long
[tex]\text{Let's write it like}\\x+y=8\\+\:\:\:+\\z-x=6\\\downarrow\:\:\:\:\:\:\downarrow\\13\:\:\:\:8\\=>\\\displaystyle\\\left \{ {{x+z=13} \atop {z-x=6}} \right. \\\left \{ {{x+z=13} \atop {z=6+x}} \right. \\\downarrow\\x+x+6=16\\2x=7\\x=3,5=>z=9,5\\\text{Now we need to find y}\\3,5+y=8\\y=4,5\\\\\text{so we have}\\3,5+4,5=8\\+\:\:\:\:\:\:\:\:\:+\\9,5-3,5=6\\\downarrow\:\:\:\:\:\:\:\:\:\:\:\:\downarrow\\13\:\:\:\:\:\:\:\:\:\:8\\[/tex]
Is the expression a polynomial? If so, is it a monomial, binomial or
trinomial? 8x - 2y
Answer:
8x2y is a monomial.
Step-by-step explanation:
slove for x. round to the nearest tenth if necessary
Answer:
65,93 cm or what is it is x
please help me!!!!!!
Answer:
sorry i can see it its blured
The first three steps for solving the quadratic equation by completing the square are shown. Fill in the missing number in the last step. 9x2 54x = 7 9(x2 6x) = 7 9(x2 6x 9) = 7.
The first three steps for solving the quadratic equation by completing the square are as follows;
1. [tex]\rm 9x^2 +54x = 7[/tex]
2. [tex]\rm 9(x^2 + 6x) = 7[/tex]
3. [tex]\rm 9(x^2 + 6x + 9) = 7 + 81[/tex]
Given
The quadratic equation given as 9x^2 + 54x = 7.
Quadratic equation;The highest power of the degree is 2 is known as a quadratic equation.
To solve using the completing the square method.
The first three steps for solving the quadratic equation by completing the square are given below.
1. Write the equation in a way that the constants are on the right side while the terms with x are on the left.
[tex]\rm 9x^2 +54x = 7[/tex]
2. Make sure that the coefficient of the x^2 term is 1.
[tex]\rm 9(x^2 + 6x) = 7[/tex]
3. Adding a term to both sides that will complete the square on the left side.
This is done by dividing the coefficient of the x term by 2 and squaring it.
The same amount should be added to the right side to balance the equation.
[tex]\rm 9(x^2 + 6x + 9) = 7 + 81[/tex]
To know more about quadratic equations click the link given below.
https://brainly.com/question/25963825
PLEASE HELP
The table shows the area of circles with a radius of 1 through 3 feet.
Recall that pi has a vale of about 3. Write an equation in two variables
To represent the relation in the table.
Draw a line to match each word with its definition
Thx ! ♡☆
Answer:
1. C
2. E
3. D
4. B
5. A
Hope This Helps!!!
Answer:
4 -2,3 -4,2 -5,5 -1,1 -3
I hope this helps you
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!!
WHAT IS THE VALUE OF X?
Answer:
x = 20
Step-by-step explanation:
180 - 45 = 5x + 35
180 - 45 = 135
5x + 35 = 135
5x + 35 - 35 = 135 - 35
5x = 100
5x/5 = 100/5
x = 20
Answer:
x=20
Step-by-step explantion:
180-45=135
we have,
135=5x+35
135-35=5x
100=5x
100/5=x
20=x
Can u answer this for me please step by step I'm desperate
-| -40 |
Answer:
- 40
Step-by-step explanation:
The absolute value always returns a positive value , that is
- | - 40 | = - | 40 | = - 40
Two – a third of a number is 4 more than 6 .Find the number
Answer:
-24
Step-by-step explanation:
First, at up an equation based on the problem:
2 - ⅓x = 4 + 6
Then, solve for x:
2 - ⅓x = 10
-⅓x = 8
x = -24
OR
2 = 10 + ⅓x
-8 = ⅓x
-24 = x
solve: 2x + 5y = -1
3x + 2y = 4
Answer:
x = 2, y = -1
(x,y) = > (2,-1)
Step-by-step explanation:
2x + 5y = -1
3x + 2y = 4
-3(2x + 5y = -1) = > -6x - 15y = 3
2(3x + 2y = 4) = > 6x + 4y = 8
-6x - 15y = 3
6x + 4y = 8
-11y = 11
/-11 /-11
y = -1
2x + 5y = -1
2x + 5(-1) = -1
2x -5 = -1
+5 +5
2x = 4
/2 /2
x = 2
(x,y) = > (2,-1)
Hope this helps!
A truck, moving continuously, averages 55.5 mph for 6.75 hr. How far does it travel during this time?
Answer:
Distance = speed * time
You are given both the speed and the time so you can find the distance
speed = 56 miles/hr
time = 3 hrs 45 minutes = 3.75 hrs
distance = 56 * 3.75
distance = 210 miles
Step-by-step explanation:
Solve system of equations:
-9x - 8y = 14
10x + 4y = 4
Maura wants to buy fencing to install around a square garden in her yard. the perimeter of the garden can be represented by the equation p = 4√a where a is the area of the garden.
Examine the graph that represents this situation.
Examine the graph that represents this situation.
The graph appears to begin at (0,0).
Is (0,0) a valid point in terms of the context of the situation? Why or why not?
Select the option that correctly answers both questions.
A) The point is valid in terms of the context because when Maura buys 0 feet of fence, the perimeter of the garden is 0 feet.
B) The point is not valid in terms of the context because the garden can't have an area of 0 square feet.
C) The point is valid in terms of the context because it represents the smallest garden Maura can have as well as the amount of fence she must buy.
D) The point is valid in terms of the context because it shows that the area and perimeter start at 0.
The correct option regarding the point (0,0) is the context of this function is given by:
D) The point is valid in terms of the context because it shows that the area and perimeter start at 0.
What is the function?The perimeter of a garden of area a is given by:
[tex]p = 4\sqrt{a}[/tex]
If there is no garden, that is, the area is 0, the perimeter is also 0, hence point (0,0) is valid, which means that option D is correct.
More can be learned about functions at https://brainly.com/question/25537936