Answer:
[tex]f(x) = \frac{x - 25}{5x - 5}[/tex]
Domain: [tex]x \ne 1[/tex]
Step-by-step explanation:
Given
[tex]f(5x) = \frac{x - 5}{5x - 1}[/tex]
Required
Determine f(x) and its domain
To determine f(x), we replace 5x with x in f(5x)
So, we have:
[tex]f(5x) = \frac{\frac{5x}{5} - 5}{5x - 1}[/tex]
[tex]f(x) = \frac{\frac{x}{5} - 5}{x - 1}[/tex]
Take LCM
[tex]f(x) = \frac{\frac{x - 25}{5}}{x - 1}[/tex]
[tex]f(x) = \frac{x - 25}{5} * \frac{1}{x-1}[/tex]
[tex]f(x) = \frac{x - 25}{5x - 5}[/tex]
To get the domain, we set the denominator as
[tex]5x - 5 \ne 0[/tex]
[tex]5x \ne 5[/tex]
[tex]x \ne 1[/tex]
If gym strong charges a $350 fee and $15 a month and gym fit charges $100 fee and $24 a month, how many months would take for gym string to be a better buy?
Answer:
It would take 28 months for Gym Strong to be a better buy.
Step-by-step explanation:
There are two possible options for gyms to choose from:
Gym Strong charges $350 plus $15 a month
Gym Fit charges $100 plus $24 a month.
Since Gym Strong charges less per month but has a higher initial fee, there will be some time when it will be a cheaper option than Gym Fit.
Let's solve this by analyzing the differences in fixed fees and monthly fees.
The difference of fixed fees is $350 - $100 = $250
The difference on monthly fees is $24 - $15 = $9
Both gyms will charge the same total fees when have passed 250/9 = 27.7 months. Since the number of months is a whole number, we round up.
It would take 28 months for Gym Strong to be a better buy.
Use the function g(x) = -5x + 17 to answer the questions.
Part B
What is g(-5)?
a
-60
b
--8
с
12
42
Answer:
42
Step-by-step explanation:
g(-5)=-5.-5+17
=25+17
=42
Answer:
42
Step-by-step explanation:
g(x) = -5x+ 17
g(-5) = -5 × -5 +17
g(-5) = 42
While organizing her DVD collection, Jessica put 5 DVDs on the first rack, 10 DVDs on the second rack, 20 DVDs on the third rack, 40 DVDs on the fourth rack, and 80 DVDs on the fifth rack. If this pattern continues, how many DVDs will Jessica put on the sixth rack?
Answer:
160
Step-by-step explanation:
Number of DVDs put on the first rack = 5
Number of DVDs put on the second rack = 10
If we closely observe, the number of DVDs on the second rack is nothing but number of DVDs on the first rack multiplied by 2.
Number of DVDs put on the third rack = 20
If we closely observe, the number of DVDs on the third rack is nothing but number of DVDs on the second rack multiplied by 2.
Number of DVDs put on the fourth rack = 40
If we closely observe, the number of DVDs on the fourth rack is nothing but number of DVDs on the third rack multiplied by 2.
Number of DVDs put on the fifth rack = 80
If we closely observe, the number of DVDs on the fifth rack is nothing but number of DVDs on the fourth rack multiplied by 2.
Therefore, to find the number of DVDs on the sixth rack as per similar pattern, we need to multiply the number of DVDs on the fifth rack with 2.
Number of DVDs on the sixth rack = [tex]80\times 2 = \bold{160}[/tex]
lines b and c are parallel. What is the measure of angle 6?
Answer:
m<6=126
Step-by-step explanation:
Which of the following is an equivalent form of the mixed number -12 3/4?
- 45/4
- -51/4
- -48/4
- -45/4
Answer:
[tex]- \frac{45}{4}[/tex]
Step-by-step explanation:
Step one:
given the information
[tex]-12 \frac{3}{4}[/tex] ----------------this is a mixed fraction with a negative integer number
let us convert this to a proper fraction
Step two:
Multiply the integer by the denominator and add the numerator, we have
[tex]=(-12*4+3)/4\\\\=(-48+3)/4\\\\=-45/4[/tex]
The third option is correct
Calculate the sales tax for each item.
1. A sweater for $19.99 and a 6% sales tax. _______________________________________
2. A purse for $45.00 and a 5% sales tax.___________________________________________
3. A bicycle for $120.00 and a 7% sales tax.________________________________________
4. A TV for $3000.00 and a 4% sales tax.___________________________________________
5. A radio for $35.00 and a 6% sales tax.____________________________________________
Answer:
$19.99 + $1.19 tax = $21.18$45.00 + $2.25 tax = $45.25$120.00 + $8.40 tax = $128.40$3,000.00 +$120.00 tax = $3,120.00$ 35.00 + $2.10 tax = $37.101. The sales tax of a sweater = $1.2
2. The sales tax of a purse = $2.25
3. The sales tax of a bicycle = $8.4
4. The sales tax of a TV = $120
5. The sales tax of a radio = $2.1
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."
Given:
1. A sweater for $19.99 and a 6% sales tax.
The sales tax of a sweater = 19.99 x 0.06 = $1.2
2. A purse for $45.00 and a 5% sales tax.
The sales tax of a purse = 45 x 0.05 = $2.25
3. A bicycle for $120.00 and a 7% sales tax.
The sales tax of a bicycle = 120 x 0.07 = $8.4
4. A TV for $3000.00 and a 4% sales tax.
The sales tax of a TV = 3000 x 0.04 = $120
5. A radio for $35.00 and a 6% sales tax.
The sales tax of a radio = 35 x 0.06 = $2.1
Therefore, all the required sales tax is given above.
To learn more about the percentage;
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A player can move from point to point only in a direction that includes a downward motion (slanted or not). In how many distinct ways can a player move from the top to bottom? (See picture)
Answer:
12
Step-by-step explanation:
2 + 3 + 7 pathways = 12 :)
Answer:
11
Step-by-step explanation:
a
Solve four tenths plus four ninths
options:
eight ninetieths
eight tenths
seventy six ninetieths
seventy six ninths
What is the answer to -6a(2b + 5c) In distributive Property?
Answer:
-12ab-30ac
Step-by-step explanation:
What is c?
1.51=c10
c = can someone explain I'm a little confused >
Answer:
0.151
Step-by-step explanation:
1.51=c10
we divide 10 by both sides
1.51/10 = c10/10
we cancel 10/10 and 1.51/10=0.151
so
c=0.151
tell me if u need a more clear explanation
Answer: 15 hope this help's and if not please give a bad rating
Determine whether the relation is a function. Quick EMERGENCY
Answer
no
Explanation
.
Answer:
Not a function
Step-by-step explanation:
A function is supposed to be one input, one output, and an input can't have two different answers. The input 3 wields two different answers, so it can't be a function
A landscaping company placed two orders with a nursery. First order was 5 bushes and 8 trees,and totaled $374.The second order was for 9 bushes and 2 trees, and totaled $202.The bills do not lost pre-item price.What were the costs of one bush and of one tree?
Answer:For one bush it would be $185 and for one tree it would be $189.
Step-by-step explanation:185 + 189 = 374
Which table could be a partial set of values for a linear function? x y 0 1 1 2 2 5 3 10 x y 0 9 1 8 2 5 3 0 x y 0 0 1 2 2 8 3 18 x y 0 3 1 5 2 7 3 9
Answer:
x y
0 3
1 5
2 7
3 9
5
Which equation represents a line with a slope of
2
and a y-intercept of -
.?
3
8 8
y = - +
3x 3
W100 W 100
B
5 8
y = -1
X +
2 3
5 8
y=-X-
2 3
D
5 8
y =
2x 3
If you can help me on these I’ll give you brainliest
Answer:
B
Step-by-step explanation:
Your body temperature increases when you are awake and it looks like the slope increases at around hour 34.
Answer:
B) a long-term from of torpor
The probability of a female student being chosen to be on the football team is
1/28 . If there are 840 female students in a school, how many could be on the football team?
PLS HELP
What is the y-intercept of the linear function
Y= 2/3 x + 1
is it
-2
2
1
-1
Answer:
1
Step-by-step explanation:
Slope intercept form is: y=mx+b
b is your y-intercept
What is the slope of the line that is perpendicular to the line containing the points (5,-2) and (8,-3)?
Answer:
3
Step-by-step explanation:
m=y2-y1/x2-x1
-3+2/8-5
-1/3
perp. = negative reciprocal
3
Pls help me ASAP I have other homework to do and I don’t have time for this. It also detects if it’s right or wrong:(
Answer:
$20
Step-by-step explanation:
you divide 40 by the two tickets and get $20.
Answer:
$20
Step-by-step explanation:
2 into 40 = 20
3 into 60 = 20
4 into 80 = 20
What are the steps, in order, needed to solve 3x + 4 = 13?
Answer:
3
Step-by-step explanation:
First, subtract 4 from both sides. When you do this, that leaves you with: 3x=9. Then, divide 9 by 3 to get x by itself. x=3
Answer:
Find out what X is (X = 3) , Multiply X times three, add your new number with 4.
3 x 3 + 4 = 13
what is 130203 in cryptology
Answer:
idek
Step-by-step explanation:
idek
sdjdjdkkdeieoeoeoeoeeo
Which algebraic rule describes the transformation
Answer:
-x, y......................
Help ASAP if you want points and brainliest answer all of them
Answer:
5. D
3. B
2. C
4. miles per hour 2 1/8, hours per mile 8/17
What is the domain of the square root function graphed below?
8
6
4
2
-6 -4
6
8
х
-6
X>1
O x21
OOOO
x>3
x23
Mark this and return
Save and Exit
Next
Submit
Answer:
x ≥ 3
Step-by-step explanation:
the domain of a graph consists of all the input values shown on the x -axis
The domain of the square root function graphed below would be x ≥ 3
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable , functions are indispensable for formulating physical relationships.
The domain is all real numbers for x>3 and the range of the square root function graphed is equal to the interval------> [1,∞)
so, the range is all real numbers for x>3
Hence, the domain of a graph consists of all the input values of the x -axis.
Learn more about function here:
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Help me out plz I will gave u Brainliest
Answer:
17280 if your multiplying
8 divided by 10 is 0.8
12 divided by 18 is 0.6667
1.19
Step-by-step explanation:
1.1940029985
yes i used a calculator for the last one
Fill in the table using this function rule.
y=29-4x
Answer:
x.1 y.25
x.3 y.17
x.5 y.9
x.6 y.5
Step-by-step explanation:
mga solusyon sa epektibong komunukasyon sa pamilya
Answer:
Translation: Solutions to effective family education
Step-by-step explanation:
Terri has 5 boxes of flower seeds.She wants to give the seeds away to her friends.If she gives 1/8 of a box to each. person, How many people can she give seeds to.
Answer:
40 people
Step-by-step explanation:
simply divide 1/8 from 5 which is 40
5/ 1/8 = 40
A.) 18
B.) 20
C.) 24
D.) 25
D, s=180- n-2
and s=165n
165n=180-n-2
Cuantos metros de valla necesitare para cercar una finca cuadrada de 54,3 de lado? por favor....
Answer:
217,2 m
Step-by-step explanation:
Si el lado de la finca mide 54,3 m y la finca es cuadrada entonces:
1.-El área de la finca es:
A = L²
Y el perimetro de un cuadrado es P = 4*L
Entonces
P = 4 * 54,3
P = 217,2 m