I will brainliest if correct! The graph of an exponential model in the form y=aXb^x passes through the points (3,5) and (4,10). Which point is also on the graph?(Multiple choice)
Answers
Answer:
The fourth choice.
Step-by-step explanation:
An exponential function passes through (3, 5) and (4, 10).
And we want to determine which other point is also on the graph.
First, we can find the exponential function. A standard exponential function is in the form:
[tex]y=a(b)^x[/tex]
The point (3, 5) tells us that y = 5 when x = 3. Thus:
[tex]5=a(b)^3[/tex]
The point (4, 10) tells us that y = 10 when x = 4. Thus:
[tex]10=a(b)^4[/tex]
In the first equation, we can divide both sides by a:
[tex]\displaystyle \frac{5}{a}=b^3[/tex]
And we can rewrite the second equation:
[tex]\displaystyle 2(5)=a(b^4)\Rightarrow 2\Big(\frac{5}{a}\Big)=b^4[/tex]
Substitute:
[tex]2b^3=b^4[/tex]
Divide:
[tex]b=2[/tex]
Using the first equation again, substitute:
[tex]5=a(2)^3[/tex]
Simplify and solve:
[tex]5=a(8)\Rightarrow \displaystyle a=\frac{5}{8}[/tex]
So, our exponential function is:
[tex]\displaystyle y=\frac{5}{8}(2)^x[/tex]
Next, we can simply try each point and see which point is correct.
Testing the first point (remember that (2,0) means that y = 0 when x = 2):
[tex]\displaystyle 0\stackrel{?}{=}\frac{5}{8}(2)^0=\frac{5}{8}(1)=\frac{5}{8}\neq 0[/tex]
Testing the second point:
[tex]\displaystyle 1\stackrel{?}{=}\frac{5}{8}(2)^2=\frac{5}{8}(4)=\frac{5}{2}\neq 1[/tex]
The third point:
[tex]\displaystyle 15\stackrel{?}{=}\frac{5}{8}(2)^5=\frac{5}{8}(32)=5(4)=20\neq 15[/tex]
And the fourth point:
[tex]\displaystyle 20\stackrel{?}{=}\frac{5}{8}(2)^5=\frac{5}{8}(32)=5(4)=20\stackrel{\checkmark}{=}20[/tex]
Therefore, D is the correct choice.
Answer:
(2,0)
Step-by-step explanation:
The answer is (2,0) because the number line passes through that point
Related Questions
Gill earned $10 on Thursday,$20 on Friday,and $15 on Saturday selling necklaces.He sold each necklace for the same amount.What is the most he could have charged for each necklace?
Answers
Answer:
20 dollars.
Step-by-step explanation:
Look at the largest number.
Answer: pretty sure it is 5
Javier and his family drink 3 gallons of milk each week. Javier drinks 5 quarts of milk each week. How many pints of milk does the rest of his family drink during the week?
A.12
B.14
C.7
D.10
Answers
Answer:
So basically Javier and his family drink a total of 12 quarts of milk each week because 1 gallon of milk is 4 quarts so Javier drinks 5 quarts 12-5=7
which leaves 7 quarts for his family. 2 pints are equal to a quart therefore 14 pints are left for his family
Mr. Lenny has graded 25% of his 200 students papers. How many papers did he finish
grading?
A
50
B.
60
с
25
D
300
Answers
Answer:
50 papers
Step-by-step explanation:
50% of the 200 papers would be 100 papers graded because half of 200 is 100.
25% would be 1/4 of the 200 papers.
So you have to divide.
200 divided by 4 is 50.
Therefore 50 papers have been graded so far.
Can someone please help!!!!
DO NOT ANSWER IF YOU DON'T KNOW IT PLEASE!!!
Answers
Suppose a fair coin is tossed and the spinner below is spun one time. What is the probability of flipping heads and spinning a number greater than 2?
Answers
Answer:
3
Step-by-step explanation:
Answer:
3/10
Step-by-step explanation:
Which estimation could be used to make sure the answer is reasonable?
Sofia mixed 3.15 L of grape juice with 4.75 L of cranberry juice. Her friends drank 3.95 L of the juice mixture.
How much juice was left over?
Answer: The amount left over was 4.05 L.
Estimation: 3.15 + 4.75 is about 7.
7 L – 4 L = 3 L
The amount left over was about 3 L.
Answer: The amount left over was 11.85 L.
Estimation: 3.15 + 4.75 is about 8 L.
8 L + 4 L = 12 L.
The amount left over was a little less than 12 L.
Answer: The amount left over was 3.95 L.
Estimation: 3.15 + 4.75 is about 8.
8 L – 4 L = 4 L
The amount left over was a little less than 4 L.
Answers
Let's go through each answer.
A.
Answer: The amount left over was 4.05 L.
Estimation: 3.15 + 4.75 is about 7.
7 L – 4 L = 3 L
The amount left over was about 3 L.
This is incorrect because 3.15+4.75 is closer to 8 than 7.
B.
Answer: The amount left over was 3.95 L.
Estimation: 3.15 + 4.75 is about 8.
8 L – 4 L = 4 L
The amount left over was a little less than 4 L.
This is correct because 3.15+4.75 is close to 8 and to find the amount left over you do have to subtract.
The correct answer is B.
Answer: The amount left over was 3.95 L.
Estimation: 3.15 + 4.75 is about 8.
8 L – 4 L = 4 L
The amount left over was a little less than 4 L.
Hope this helps!. If it helped, please rate, thank, and if it really helped, give brainliest. It helps me rank up. Thanks! :)
7.
Wendy is paid $12 per hour and plans to work between 30 and 35 hours per week. Identify the independent and dependent quantity in the situation. Find reasonable domain and range values.
A. weekly pay; hours worked; $360 to $420; 30 to 35 hours
B. hours worked; weekly pay; 30 to 35 hours; $360 to $420
C. weekly pay; hours worked; 30 to 35 hours; $360 to $420
D. hours worked; weekly pay; 30 to 35 hours; $0 to $420
Answers
Answer: I'm gonna go with B. hours worked; weekly pay; 30 to 35 hours; $360 to $420, because I had something similar to this
Wendy is paid $9 per hour and plans to work between 20 and 25 hours per week. Identify the independent and dependent quantity in the situation. Find reasonable domain and range values.
weekly pay; hours worked; 20 to 25 hours; $180 to $225
hours worked; weekly pay; 20 to 25 hours; $180 to $225
weekly pay; hours worked; $180 to $225; 20 to 25 hours
hours worked; weekly pay; 20 to 25 hours; $9 to $225
Step-by-step explanation:
The independent quantity is her pay and the dependent quantity is the hours she works in a week.
I believe the range would be 30 to 35 hours and the domain would be $360 to $450.
...................................................................................................................................................
Answer:
Part a) The independent quantity is the variable x (the number of hours) and the dependent quantity is the variable y (total paid)
Part b) Domain
Part c) Range
Step-by-step explanation:
Let
x------> the number of hours
y-----> total paid
The linear equation that represent this situation is
so
Part a)
The independent quantity is the variable x (the number of hours)
The dependent quantity is the variable y (total paid)
Part b) Find the domain
The domain is the interval-------->
All real numbers greater than or equal to hours and less than or equal to hours
Part c) Find the range
For
find the value of y
For
find the value of y
The range is the interval------->
All real numbers greater than or equal to and less than or equal to
...............................................................................................................................................
The dependent quantity would be the $12 per hour, while the independent quantities are 30 hrs/ week to 35 hours/ week.
The $12 per hour would become $360/week to $420/week.
The domain of the problem, with the unit of hrs/week, would be :30,31,32,33,34,35.
The Range of the problem, with the unit of $/week, would be : 360, 372, 384, 396, 408, 420.
...............................................................................................................................................
Need Answers Asap I will try to give brainlest if i have it
Answers
Answer:
9. 1,800 m/s
Step-by-step explanation:
450 ÷0.25 = 1800.
*Hope this helps*
HELP ME ON GEOMETRY!!! PLZ
NO LINKS! > i will report.
Answers
Answer
I believe B.)8in3 is the right answer according to the square-cube law.
Step-by-step explanation:
What equation(s) could represent the volume of the cylindrical barrel when completely filled with
water?
Answers
Answer:
Volume of cylinder = 1,156.57 cm³
Step-by-step explanation:
Given:
Radius R = 4 cm
Height of cylinder = 23 cm
Find:
Volume of cylinder
Computation:
Volume of cylinder = πr²h
Volume of cylinder = (22/7)(4)²(23)
Volume of cylinder = (22/7)(16)(23)
Volume of cylinder = 1,156.57 cm³
Please answer this quickly it’s for a test!
Answers
Answer: I think its D, not positive though.
Step-by-step explanation:
O A. 120 cm3
B. 120 units3
C. 630 cm2
O D. 120 units
Answers
Answer:
the answer is B
hope this helps
Step-by-step explanation:
i did the math
A raft travels downriver at a rate of 6 miles per hour. The total distance d in mile that the raft travels is equal to the rate times the number of hours h. Dependent Variable: Independent variable: Equation:
Answers
Answer:
Dependent variable: total distance (d)
Independent variable: number of hours (h)
Equation: d = 6h
Step-by-step explanation:
In this case given, the dependent variable, total distance (d), is dependent on the independent variable, number of hours (h). This is because, a change in the value of h leads to the change in the value of d. In order words, total distance (d) is a function of the number of hours (h).
Therefore:
Dependent variable: total distance (d)
Independent variable: number of hours (h)
Rate: 6 miles/hr
Equation: d = 6h
find the value of given expression
[tex] \sqrt{900} [/tex]
Answers
Answer:
30 Ans...............
What is the area of these
Answers
Answer:
g=130 h=22
Step-by-step explanation:
bxh÷2
hope this helps
thank you lol i’m not smart sorry
Answers
Answer: 65
Step-by-step explanation: Sum of angles in triangles is always 180, we know one angle is 25 and another is 90, so 25 + 90 = 115, then 180 - 115 = 65.
A pumpkin patch charges a $5 entrance fee and $0.60 per pound for pumpkins. Which of the following represents the cost C, In dollars, for one person to enter the pumpkin patch and pick x pounds of pumpkin?
Answers
Answer:C=5+0.6x
Step-by-step explanation:
The equation that represents the total cost will be C = 0.60x + 5.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A pumpkin patch charges a $5 entrance fee and $0.60 per pound for pumpkins.
Let x be the number of pounds of pumpkin and C be the total cost in dollars.
Then the equation that represents the total cost will be
C = 0.60x + 5
The equation that represents the total cost will be C = 0.60x + 5.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ6
Describe the transformations that will make f(x)=1/x into g(x)=−1x+5−8?
Answers
Answer:
f (x) = 4
f (x) = radical 3x-4
f (x) = 3/5x
Step-by-step explanation:
Hope this helped you.
Have a beautiful day!!
HELP PLEASE!!!! No files btw
Jubal wrote the four equations below. He examined them, without solving them, to determine which equation has no solution.
7 x + 1 = 7 x+ 1. 3 x + 2 = 3 x minus 2. 4 x + 1 = 3 x + 8. negative 2 x minus 1 = negative 2 x minus 1.
Which of Jubal’s equations has no solution?
A. 7 x + 1 = 7 x+ 1
B. 3 x + 2 = 3 x minus 2
C. 4 x + 1 = 3 x + 8
D. negative 2 x minus 1 = negative 2 x minus 1
Answers
The answer is B! :)
5x-3=121
to
5x=-36
Explain how the first one ended up to be the second one.
Answers
Answer:
you may have done this wrong
Step-by-step explanation:
5x-3=121
add 3 on both sides
5x=-36<------what you did was wrong
you should have ended up with...
5x=124
divide by 5 on both sides
x=24.8
HELP PLZZZZ!!!!!!!!!!!!!!
Answers
Answer:
B
Step-by-step explanation:
What number is 20% of 80
Answers
Answer:
16
Step-by-step explanation:
a trick that helps with percentages
if its 20% of 80, multiply 20 and 80 and then divide that by 100 so 1600 divided by 100. 16. hope this helps!!
Order the sides or angles of each triangle from least to greatest.
Answers
Answer:
SU , UT , ST
Step-by-step explanation:
A polygon with five sides is
Answers
Answer:
The answer is pentagon
The model is shaded to represent the remaining one-half of a cake. Three friends will
each receive an equal amount of the remaining cake until it is all gone.
Cake
Which equation can be used to determine the fraction of the whole cake each friend
will receive?
Answers
Answer:
jsjshshshhsgdhshdhdhddhshggzggzgzhshsggggghzhgzgzgdgxgshdhdhgd
Step-by-step explanation:
h
Answer:
h
Step-by-step explanation:
3(4x+6)=x-4
Pls look at the picture for the rest of the question thanks!
Answers
Answer:
(x = −2) sentence below
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(4x+6)=x−4
(3)(4x)+(3)(6)=x+−4(Distribute)
12x+18=x+−4
12x+18=x−4
Step 2: Subtract x from both sides.
12x+18−x=x−4−x
11x+18=−4
Step 3: Subtract 18 from both sides.
11x+18−18=−4−18
11x=−22
Step 4: Divide both sides by 11.
11x
11
=
−22
11
x = −2
I used distributive property because it allows me to simply the equation when dealing with the unknown value of x.
Convert the fraction below into a percent: 9/15
Answers
Answer:
Your answer will be 60%
Step by Step explanation:
W know the GCF(greatest common factor) of 9 and 5 is 3 so
9÷3=3 15÷3=5 which make 3/5
We know that
3/5
is the same as
3÷5
Then using
Long Division for 3 divided by 5 gives us
0.6
Converting our number to a percentage:
0.6×100
=60%
Solve for x:
4.5x = 56.25
1. x = 60.75
2. x = 12.5
3. x = 253.125
Answers
Answer:
2. x = 12.5
Step-by-step explanation:
x=56.25÷4.5=12.5
between 6 a.m. and noon the temperature Rose 12 degrees Farenheit to 4 degrees Fahrenheit
Answers
Answer:
that's not possible it can rise unless it is at negative 12
Find the GCF of 5y5 and 50y2.
Answers
Answer: [tex]5y^2[/tex]
Step-by-step explanation:
Given
[tex]5y^5\ \text{and}\ 50y^2[/tex]
GCF or HCF of the two is the highest common factor
[tex]\Rightarrow 5y^5=5\times y^2\times y^3\\\Rightarrow 50y^2=5\times y^2\times 10[/tex]
It is clear GCF is [tex]5y^2[/tex]