what is the equation of the line in slope intercept form
Answer:
y=-5x
Step-by-step explanation:
Is f(x)=3x5^2x-3 an exponential function? If so, write it in the form f(x)=ab^x
Answer:
[tex]f(x)=\frac{3}{125} * 25^x[/tex]
Step-by-step explanation:
Given
[tex]f(x)=3*5^{2x-3}[/tex]
Required
To determine if it is an exponential function, we have to write in form of
[tex]f(x) = ab^x[/tex]
If we're able to do so, then the function is an exponential function.
If otherwise, then it is not
[tex]f(x)=3*5^{2x-3}[/tex]
Apply Law of indices
[tex]f(x)=3*\frac{5^{2x}}{5^3}[/tex]
Express 5^3 as 125
[tex]f(x)=3*\frac{5^{2x}}{125}[/tex]
Factorize the exponent of 5
[tex]f(x)=3*\frac{5^{(2)x}}{125}[/tex]
Express 5^2 as 25
[tex]f(x)=3*\frac{25^x}{125}[/tex]
This can be rewritten as:
[tex]f(x)=\frac{3}{125} * 25^x[/tex]
By comparing the above to [tex]f(x) = ab^x[/tex]
We have that
[tex]a = \frac{3}{125}[/tex]
[tex]b^x = 25^x[/tex]
Since, we've be able to express the function as [tex]f(x) = ab^x[/tex]
Then, [tex]f(x)=3*5^{2x-3}[/tex] is an exponential function
The expression in exponential form is expressed as [tex]g(x)=\frac{3}{125} \cdot 25^x[/tex]. Option C is correct.
Given the equation [tex]f(x) = 3\cdot 5^{2x-3}[/tex], we are to write in the form [tex]a(b)^x[/tex]
Simplifying the given expression, we will have:
[tex]g(x) = 3\cdot 5^{2x-3}\\g(x) = 3\cdot 5^{2x} \cdot 5^{-3}\\g(x) =\frac{3}{5^3}\cdot (5^2)^x\\g(x)=\frac{3}{125} \cdot 25^x[/tex]
Hence the expression in exponential form is expressed as [tex]g(x)=\frac{3}{125} \cdot 25^x[/tex]
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what is 0.144444444444 as a fraction
Answer:
18/125
Step-by-step explanation:
Mario tracks his heart rate after throwing warm-up pitches before a game. In 1/4 minutes, Mario's heart beats 28 times
Answer:112
Step-by-step explanation: 1/4 divided by 28/1 = 1/112
Answer:
112 and very light
Step-by-step explanation:
Which of the following can be used to find the measure of angle C, angle D, and ankle E?
A-Pythagorean Theorem
B-Triangle Sum Theorem
C-Isosceles Triangle Theorem
D-AAA Postulate Theorem
Solve the system of equations by the elimination method: \large 9x+y=-8 and \large 4x+y=2. Then fill in the solution as an ordered pair:
Answer:
rrrrrrrrrrrrrrrrrrrrrwwwwwwwwwwwwwwwwww44444444444444wwwwwwwwwwwwww
Step-by-step explanation:
you are easydsssssdfewatg3
The slope of the lawn and passing through the points (1,3) and (5,13)
Please Help!!!!!!!!!!!!!!!!!
Carlo is building a wooden box that is shaped like a cube. He wants the box to have a volume of 64 cubic inches. How many square inches of wood does Carlo need to build the box?
Answer:
Area of wood required = 96 in²
Step-by-step explanation:
Since volume of a cube = Length × Width × Height
64 = (Side)³
Side = 4 inch
Area of the wood required to build a wooden box = Surface area of all 6 sides of the cube
= 6(Area of one side of the box)
= 6(Side)²
= 6(4)²
= 96 inch²
Therefore, 96 square inches of wood will be required to build the wooden box.
Answer:
Step-by-step explanation:
1. The length of one edge of the box is 4 inches due to the 64 cubic inches being 4 x 4 x 4 with all sides being equal.
2. The area of a face of the box is height x width, therefore 4 x 4 = 16 inches squared .
3. The total area of all faces is the answer from part 2 x all faces of a box, which is 6; therefore 6 x 16 = 96 inches squared.
4. Carlos needs 96 square inches of wood to build his box.
Can someone please help me with this question?!
se Home
ework
The following line graph shows the attendance at an annual event from 1998
through 2004. Estimate the attendance at the annual event in 2002,
The approximate paid attendance in 2002 was.
Attendance at an Annual Event
100,000
zes & Tests
Q
80,000
dy Plan
60.000
Paid Attendance
debook
40,000
20.000
apter Contents
0-
1998
ols for Success
2000
2002
Year
2004
ultimedia Librai
earson Tutor
ervices
A question on a history test asks you to match 10 dates with 10 events. In how many ways could you possible answer this question?
There are (BLANK) ways to answer the question.
**Make sure to enter numbers without commas & round any decimals to the nearest hundredth**
Answer:
110
Step-by-step explanation:
Each date has 11 choices (10 events, 1 blank) so multiply by 10 to get 110.
524
You ride your bike x miles per hour up a mountain for 45 minutes. On the way down the mountain, you ride your bike 3 miles per hour faster. It
takes 20 minutes to ride your bike down the mountain. How far did you ride your bike in total?
Answer:
543
Step-by-step explanation ITS 524
Find the value of x.
(3x - 2)°
(10x - 11)
(3x + 1)
X=
Uh yes I’m sorry I am just trying to get answers
D =
R=
Function?
Find the domain and range of each relation. Then, determine if the relation is a function.
Answer:
This is a function. Range is y is an element of all real numbers, or {yer} and domain is x is greater than or equal to -4, xer {x>=-4|xer}
Step-by-step explanation:
Item 21
The temperature of dry ice is −109.3°F. This is 184.9°F less than the outside temperature. Write and solve an equation to find the outside temperature t (in degrees Fahrenheit).
An equation is −109.3=
.
The outside temperature is
∘F.
Answer:
Step-by-step explanation:-109.3=t-184.9
T=75.6
Please HELP!! It’s due today
Answer:
For C all she has to do is look at the chart-
0=0
1=4
2=8
3=12
4=16
Please tell me the right answer.
Answer:
b
Step-by-step explanation:
Simplify.
Rewrite the expression in the form 4^x.
4^4 x 4^3 = ??
Answer:
[tex]4^{7}[/tex]
Step-by-step explanation:
To simplify the expression [tex]4^{4}\times4^{3}[/tex], we can use the first law of the law of indices which states that the exponent is added together when multiplying numbers with the same base. Eg: [tex]a^{x}\times a^{y} = a^{x+y}[/tex].
[tex]4^4 \times4^3=4^{4+3}[/tex]
[tex]=4^{7}[/tex]
Hope this helps :)
Divide. Write your answer as a fraction or mixed number in simplest form.
10 • 3 3/4
Answer:
37 1/2
Step-by-step explanation:
before you multiply you fractions you would have to change the mixed number into a improper fraction and then multiply your fractions together. once that is dont you would multiply they numerator straight across and multiply the denominator straight across. once that is done your answer should come out as 150/4 but that is a improper fraction and you have to change it into a mixed number which would be 37 2/4 but that can be simplified by 2 and once you simplify it your final answer would come out to be 37 1/2.
The required solution to the given expression is 37 1/2 in mixed number form.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
To determine the evaluation of expression 10 ÷ 3 3/4
When considering multiplying your fractions together, you would need to convert the mixed number into an improper fraction. After that, you would multiply the denominator across and the numerator across, respectively. Your final answer should be 150/4 after that, but since it is an improper fraction, you must convert it to a mixed number, which is 37 2/4. However, if you simplify it by 2, your final answer will be 37 1/2.
Thus, the required solution to the given expression is 37 1/2 in mixed number form.
To learn more about the division operation click here :
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Only one more to go. Thank you victoria so much for helping me I really appreciate it like really you are a angel.☺️
Linda Is working at an art shop. She will be paid a daily amount plus a commission of a total sales. The equation y = .10x + 85 represents the amount Linda will make
Answer:
Income Linda make = $150
Step-by-step explanation:
Given:
y = 0.10x + 85
Assume;
Sales = $650
Find:
Income Linda make
Computation:
Income Linda make = 0.10x + 85
Income Linda make = 0.10(650) + 85
Income Linda make = 65 + 85
Income Linda make = $150
870.497 ÷ 0.823=?
round your answer to the nearest whole number
Answer:
870.497 ÷ 0.823=1.057 so to the nearest whole number it would be 1
Step-by-step explanation:
cause 0-4 numbers are rounded down
George records the number of questions he has answered on DFM per day over 14 days, and puts the data in the bar chart below.
Find the total number of questions.
Answer:
18 is the total number of questions George answered in 14 days.
Step-by-step explanation:
The given chart:
The x-axis is showing the total number of questions George answered The y-axis is showing the frequency of days on which George answered the questions.The given chart is showing that:
George answered the 5 questions on the first 4 days;George answered the next 6 questions on the next 5 days;George answered the next 7 questions on the last 5 days';Hence, the total questions he answered will be:
5 + 6 + 7 = 18
Therefore, 18 is the total number of questions George answered in 14 days.
What is the equation of this graphed line?
Enter your answer in slope-intercept form.
Please answer quickly, I will give brainliest to whoever answers correctly, thank you.
Answer:
y = -9/8x + 7Step-by-step explanation:
Slope-intercept form is:
y = mx + bPoints given:
(0, 7) and (8, -2)y-intercept is
b = 7 as per the first pointAnd the slope is:
m = (-2 - 7)/(8 - 0) = -9/8So the line is:
y = -9/8x + 7Answer:
Required Answer:-points are
(0,7)(8,-2)slope =m
[tex]{:}\longrightarrow[/tex][tex]\sf m={\dfrac {y_2-y_1}{x_2-x_1}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrax {-2-7}{8-0}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {-9}{8}}[/tex]
y intercept:-
7
Hence the equation is
[tex]{:}\longrightarrow[/tex][tex]\sf y={\dfrac {-9}{8}}+7 [/tex]
Nora read 1/9 of a book on Monday and 2/5 on Tuesday. What fraction of the book does she have left to read
Answer:
Step-by-step explanation:
On Monday, Nora read ¼ of the book, therefore she is left with ¾ of the original book.
Then on Tuesday, she read 2/5 of what was left on Monday therefore she is left with 3/5 of ¾ of the original book. This is equal to:
(3/5) (3/4) = 9/20
She still needs to read 9/20 of the book or 0.45 or 45% of the book.
............ help lost of points available
Answer:
c
Step-by-step explanation:
Finding the Equation of a Line from a Graph and a Table
plz help me
Answer:
slope (m)= 1/2
y-intercept: (0, -1)
equation: y=[tex]\frac{1}{2}[/tex]x-1
Step-by-step explanation:
slope is [tex]\frac{rise}{run\\}[/tex]=[tex]\frac{1}{2}[/tex]
y-intercept is where the line crosses the vertical axis (y-axis) so its (0, -1)
using point slope form:
y-y1=m(x-x1)
y-(-1)=1/2(x-0)
y+1=1/2x
y=[tex]\frac{1}{2}[/tex]x-1
If the amount of vat paid by a customer while buyong a bag at 13℅ vat rate rs 143 ,find the cost of bag without vat
Step-by-step explanation:
vat %=13%
vat=143
vat = vat% of sp (i.e sp without vat)
143 = 13/ 100 of sp
143*100=13sp
14300/13 = sp
sp=4766.67
therefore the cost of bag without vat is rs.4766.67
If triangle ABD is similar to Triangle EFG, find BC and FH
A BC= 9, FH=6
B. BC= 12, FH=9
C. BC =15. FH =12
D. BC=16, FH =13
Answer:
B. BC=12, FH=9
Step-by-step explanation:
I guessed and it was right
Throe would like to hire a guitarist for his charity concert. Guitarists A and B are offering their services to
Throe but each guitarist charges different initial fees and hourly rates. How can Throe check to see when
they will charge the same amount of money? Name three ways to perform this task.
Answer:
guitarist a&b I often their service to throne but each guitarist charge different intentional feeds and hourly rates how can the throne check to see when they will charge the same amount of money named three ways to perform this task answer