Answers
Answer:
[tex]\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x[/tex]
Step-by-step explanation:
Exponential Function
The exponential function can be written with the general equation:
[tex]f(x)=A\cdot r^x[/tex]
Where A is the value when x=0 and r>0 is the ratio. If r is greater than 1, the function is increasing, if r is less than 1, the function is decreasing.
The table shows the relation between values of x and values of the function y. Note that as x increases (one by one), y decreases with a ratio of 1/2. Only the last two choices have ratios of r=1/2. We only have to test which one of them has the correct value of y=4 when x=0.
Substituting in the third function:
[tex]\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x[/tex]
[tex]\displaystyle f(0)=4\cdot\left(\frac{1}{2}\right)^0[/tex]
[tex]f(0) = 4[/tex]
This gives the correct value of f(0)=4.
Substituting in the fourth function:
[tex]\displaystyle f(x)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^x[/tex]
[tex]\displaystyle f(0)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^0[/tex]
[tex]f(0) = \frac{1}{2}[/tex]
This choice is wrong
Correct choice:
[tex]\boxed{\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x}[/tex]
Related Questions
if 7 less than 5 times a number is two more than twice that number, what is the result when that number is added to 8
Answers
Answer:
11
Step-by-step explanation:
[tex]5x - 7 = 2x + 2\\3x = 9\\x = 3[/tex]
3 + 8 = 11
PLEASE HELPP ASAP
PLEASE HELPP ASAP
Answers
Answer:
The answer is b
Step-by-step explanation:
hope it helped bye :)
Divide 32 in the ratio 5 : 3.
Answers
Answer:20,12
Step-by-step explanation:
32×5/8=20
32×3/8=12
5 by 32= 20
8
3 by 32= 12
8
20:12 divided by 5:3= 4:4
If I have a circle with the diameter of 2 what is the area of this circle?
Answers
Answer:
3.14
Step-by-step explanation:
Hope this helps!
Make sure to stay safe, or else. :> ^-^
Answer:
3.14 would be the answer
A student jogged at a constant rate of 7 miles per hour for
1 1/3
hour. The function d = 7t can be used to find the
distance in miles the student jogged during t, the time in hours.
What is the range of the function for this situation?
A - 0_< t _< 1/3
B - {0,7/3}
C - 0_< d _< 7/3
D - {0,1/3}
Answers
Answer:C
Step-by-step explanation:
i did it and it’s c the one with 0<_d<_ 7/3
Answer:
C. 0< d < 7/3
Step-by-step explanation:
ANSWER THIS plzzzzzzzzzzzzzzz will mark brainliest
Answers
Answer:
second
Step-by-step explanation:
pweeze help
i will give brainliest :(
Answers
Answer:
Sorry I was unable to answer the other questions but I can answer for the coordinates.
Point M: (2,3)
Point N: (6,3)
Point K: (6,6)
Point Q: (2,-3)
Point R: (6,-3)
Point S: (6,-6)
What are the values of x and y?
A.
x equals 136 over 15 and y equals 17 over 15
B.
x equals 64 over 15 and y equals 17 over 15
C.
x equals 8 over 15 and y equals 136 over 15
D.
x equals 64 over 15 and y equals 136 over 15
Answers
Answer:
d. 8 over 15 = 136 over 15 this is the right answer okay
HELP PLEASEE ASPA 30 points
Answers
Answer:
[tex]x = 75[/tex]
Step-by-step explanation:
[tex]hope \: it \: helps[/tex]
what is 6 1/2 - 9/10 simplified
Answers
Answer:
1 7/10 or 1.70
Step-by-step explanation:
6 1/2 - 9/10
Convert the mixed number to an improper fraction
13/2 - 9/10
Find a common denominator for these 2 fractions, and in this case it can be 10
13 * 2/ 5 * 2
26 / 10 - 9/10
17/10
1 7/10 as a fraction or 1.70 as a decimal
Hope this helped!
Have a supercalifragilisticexpialidocious day!
first convert mixed number to improper
2x6+1 = 13
13/2 - 9/10
next, find a common multiple for denominator
we will chose 10 so
65/10 - 9/10
subtract the numerators
54/10
divide numerator and denominator by 2
27/5
This is the fraction in its simplest form
27/5
How can you isolate the variable in this equation? x + 6 = 13
Answers
You can isolate the variable by subtracting 6 from both sides.
e.g.
x + 6 = 13
- 6 - 6
Now we have x = 7, which not only isolates the variable but solves for x.
If you don't know why we can subtract from both sides, look up the Addition Property of Equality and Subtraction Property of Equality.
i really need help please!!!
Answers
Answer:
5x-4y=0
Step-by-step explanation:
[tex]\frac{5-0}{4-0} =\frac{y-0}{x-0} \\ 5x-4y=0[/tex]
Mariah worked for 3 hours and earned a total of $28.50. Which equation can be used to find r the amount of money Mariah earns per hour.
Answers
Answer:
28.50/3=r
Step-by-step explanation:
Answer:
28.50 divided by 3.
Step-by-step explanation:
This is because if 28.50 is the total and we know she worked for 3 hours that means that the answer to our equation: 9.5 means that each hour she worked for she was given 9.50 or 9.5 dollars. We can check this by doing 9.5 x 3 which gives us 28.5 or 28.50. :)
Randy hung a total of 900 feet of Christmas lights on the exterior of his house this past holiday season. If 1 foot equals 30.48 centimeters, how many centimeters of Christmas lights did Randy hang?
Answers
A hot air balloon is descending at a rate of 287 feet per minute.
Find the total change in elevation of the balloon in 4 minutes.
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the rate of change or slopeb is the y-interceptA hot air balloon is descending at a rate of 287 feet per minute.
Thus, the rate of change m = -287
The negative sign indicates that a hot air balloon is descending.
Let y be elevation.
Let x be the time (in minutes)
As there is no mentioning of the initial height.
Thus, the y-intercept b = 0
now substituting m = -287 and b = 0
y = mx + b
y = -287x + 0
y = -287x
In order to determine the total change in elevation of the balloon in 4 minutes, we need to substitute x = 4 in the equation y = -287x.
Thus, the total change in elevation of the balloon in 4 minutes will be:
y = -287x
y = -287(4)
y = -1148 feet
The negative sign indicates that that the elevation is decreasing.
Round 3.46 to the nearest integer
Answers
Answer: 3.5 integers can be in decimals too. and any number counts as an integer except for 0
Answer:
3
Step-by-step explanation:
Find the number in the whole number place 3 and look one place to the right for the rounding digit on the right side of the decimal point 4. Round up if this number is greater than or equal to 5 and round down if it is less than 5.
I need help with this math ASAP due today
Answers
Answer:
C. 1/16 choice c because this is what the calculator gave me
(4+6)2 PEMDAS
Please answer this ASAP
Answers
Answer:
20
Step-by-step explanation:
(4 + 6)2 | Parenthesis first
(10) × 2 | Distribute
20
If Jose can make 3 baskets in 20 seconds, what is the unit rate?
Answers
What is the price of a $25 meal with a 20% tip?
Answers
Answer: 30:00$
Step-by-step explanation:
Because 20% is 5 dollars i think 25+5 is 30 If i'm wrong please Correct.
Need help with questions and will give brainest to good answers. Bad answers or jokes will be reported thanksssssss
Answers
Answer:
3, 10, -2/3
Step-by-step explanation:
I don't speak spanish, so I hope i did this right.
Problem 1
set equal to each other
2x+1=x+4
-4 -4
2x-3=x
-2x -2x
-3=-x
times -1 to get a positive x
3=x
Problem 2
repeat steps
4x-5=3x+5
+5 +5
4x=3x+10
-3x -3x
x=10
Problem 3
repeat steps
x=4x+2
-4x -4x
-3x=2
divide
x=- 2/3
to find the y's, go back and plug in
Prob 1: y=(3+4) =7
Prob 2: y=[3(10)+5] =35
Prob 3: y=(-2/3) =-2/3
Answer:
1.)
y = 2x + 1
y = x + 4
Substitute
2x + 1 = x + 4
Subtract 1 on both sides
2x + 1 - 1 = x + 4 - 1
2x = x + 3
Subtract x on both sides
2x - x = x - x + 3
x = 3
Now that we have x we can use that for finding y
y = x + 4
y = 3 + 4
y = 7
x = 3
y = 4
( 3, 4 )
__________________________________________________________
2.)
y = 4x - 5
y = 3x + 5
Substitute
4x - 5 = 3x + 5
Add 5 on both sides
4x - 5 + 5 = 3x + 5 + 5
4x = 3x + 10
Subtract 3x on both sides
4x - 3x = 3x - 3x + 10
x = 10
Now that we have x, we can use that to find y
y = 3x + 5
y = 3 (10) + 5
y = 30 + 5
y = 35
x = 10
y = 35
( 10, 35)
__________________________________________________________
3.)
y = x
y = 4x + 2
Substitute
x = 4x + 2
Subtract 4x on both sides
x - 4x = 4x - 4x + 2
-3x = 2
Divide -3 on both sides to isolate the variable
-3x/-3 = 2/-3
x = -2/3
Now that we have that we can use it to find y
y = x
y = -2/3
x = -2/3
y = -2/3
( -2/3, -2/3)
Hope this helped!
Have a supercalifragilisticexpialidocious day!
On a coordinate plane, a line goes through (negative 8, 4) and (8, 4). A point is at (negative 4, negative 6).
What is the equation of the line that is parallel to the given line and passes through the point (−4,−6 )?
x = −6
x = −4
y = −6
y = −4
Answers
Answer:
The equation of parallel line passes through the point (−4,−6 ) is:
y = -6
Please also check the attached graph.
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptGiven that on a coordinate plane passes through (-8, 4) and (8, 4).
As the value of y remains the same for any value of x.
i.e. y = 4 for any value of x.
Thus, the given line is a horizontal line.
We know that the slope of a horizontal line is zero.
Also it is clear that at x = 0, the value of y = 4. In other words, we can observe that the y-intercept b = 4.
so substitutig m = 0 and b = 4 in the slope-intercept form
y = mx + b
y = 0x + 4
y = 4
Therefore, the equation of line passing through the point (-8, 4) and (8, 4) is:
y = 4
Now, we also know that the slope of parallel lines is equal.
Thus, the slope of the line parallel to the line y = 4 is also 0.
As the parallel line passes through (−4,−6 ).
so substituting m = 0 and (-4, -6) in the slope-intercept form of line equation to determine the y-intercept b
y = mx + b
(-6) = 0(-4) + b
-6 = 0 + b
switching the sides
0 + b = -6
b = -6
Thus, the slope-intercept b = -6
now substituting m = 0 and b = -6 in the slope-intercept form of line equation
y = mx + b
y = 0(x) + -6
y = 0 - 6
y = -6
Therefore, the equation of parallel line passes through the point (−4,−6 ) is:
y = -6
Please also check the attached graph.
Answer:
1351
Step-by-step explanation:
4. Calculate the surface area of this triangular prism.
2 points
10 in.
10
8
15 in
6 in.
Answers
Answer:
Surface Area of a Triangular Prism Calculator
In the general surface area is defined as the total area the surface of the object occupies. A triangular prism is a polyhedron that has a triangular base. It has 5 faces and 9 edges. Use our online surface area of a triangular prism calculator to efficiently calculate the total surface area occupied by the triangular based prism. Enter the triangle's sides, base, height, and prism height in the prism calculator to find the SA of the triangular prism.
Step-by-step explanation:
The class needs to collect 20.5 pounds of cans for recycling over the next 5 months. Students plan to collect 3.75 pounds each month.
Use the drop-down menus to complete the statements below about the can collection.
Answers
Answer:
There will still be 1.75 pounds of trash left
Step-by-step explanation:
Sharon owns a car lot in Virginia Beach. For every car that parks in her parking lot, she charges $5.00 per day. She uses this equation to determine her daily income: y = 5x, where x is the number of cars and y is the amount of money earned. What is true about this function?
Answers
Answer and Step-by-step explanation:
Given the function y = 5x where x is the total number of cars parked in her lot and y is the total money earned. Since x is the independent variable as the money earned, y, depends on the amount of cars parked, we can say that the domain (the actual values the independent variable can assume) of this function is:
x = {0, 1, 2, 3, . . .}
This is because x, the number of cars, can never be a negative number..
Also, the range, the set of all the values of the dependent variable y, is: {all the numbers divisible by 5, including 0}
PLZ ANSWER QUICK IT WILL HELP A LOT!
Answers
Answer:
B
Step-by-step explanation:
Make x the subject of the formula
X + p = q
Answers
Given:
The equation is
[tex]x+p=q[/tex]
To find:
The formula where x is the subject of the given formula.
Solution:
To make x the subject of the formula, we need to isolate the variable x.
We have,
[tex]x+p=q[/tex]
Subtracting p from both sides, we get
[tex]x+p-p=q-p[/tex]
[tex]x+0=q-p[/tex]
[tex]x=q-p[/tex]
Therefore, the required formula of x is [tex]x=q-p[/tex].
Answer:
q-p = x
Step-by-step explanation:
as shown, several parallelograms are formed in an expandable gate. The angles of the parallelograms change as the gate is expanded and compressed. Find m
Answers
Answer:
m = 145
Step-by-step explanation:
All angles inside a parallelogram = 360
∠ABC = ∠ADC
35 = ∠ADC
360 = 2(∠ABC) + 2( ∠DAB)
360 = 70 + 2( ∠DAB)
290 = 2( ∠DAB)
145 = ∠DAB
The adjacent angle of the parallelogram are supplementary angles. If the angle ∠ABC is 35°. Then the angle ∠DAB will be 145°.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides and angles are parallel and equal.
In the parallelogram ABCD, the angle ∠ABC is 35°.
We know that adjacent angle of the parallelogram are supplementary angles.
∠ABC + ∠DAB = 180°
35° + ∠DAB = 180°
∠DAB = 180° – 35°
∠DAB = 145°
More about the parallelogram link is given below.
https://brainly.com/question/1563728
#SPJ2
ACFG is a parallelogram, If AX = 4y + 3 and XF = 2y + 7, find AX.
Answers
Answer:
AX=XF
4y+3=2y+7
4y-2y=7-3
2y=4
y=2
then,
AX=4y+3
=4×2+3
=8+3
=11
The value of length AX of parallelogram is 11.
What is parallelogram?A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposite sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side. 360 degrees is the sum of all interior angles.
∵ ACFG is a parallelogram, therefore length of diagonal will be equal
∴AX = XF
4y+3 = 2y+7
4y-2y = 7-3
2y = 4
y = 2
Therefore, length of AX is :
AX = 4y+3
= 4×2+3
= 11
option (c) is correct answer
To know more about parallelogram equation please visit:
https://brainly.com/question/28854514
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Marlin obtains a 20/6 balloon mortgage to finance $305,500 at 5.75%. How much principal and interest will he have already paid when his
balloon payment is due?
$188,267.86
$152,285.77
$154,430.64
$249,256.48
Answers
Answer:
$154,430.64
Step-by-step explanation:
The first step is for us to determine the monthly payment as follows:
Mortgage amount can be found as the present value of all monthly payments, hence, using the formula below we can determine monthly payment as follows:
mortgage amount=monthly payment*(1-(1+r)^-n/r
mortgage amount=$305,500
monthly payment is unknown
r=monthly interest rate=5.75%/12=0.4791667%
n=number of monthly payments in 20years=20*12=240
305,500=monthly payment*(1-(1+0.4791667% )^-240/0.4791667%
305,500=monthly payment*(1-0.31750756 )/0.0047916670
305,500=monthly payment*0.68249244 /0.0047916670
monthly payment=305,500*0.0047916670 /0.68249244
monthly payment=$2,144.87
Number of months that payments have been made=6*12=72
total paid=$2,144.87*72
total paid for 6 years=$ 154,430.64