The function written in the rational form is, C. F(x) = (x - 5)/3x
What are rational numbers?Rational numbers are subsets of real numbers which can be written in the form of p/q, where q ≠ 0. As at q = 0 it is undefined.
Similarly, A rational expression is also written in the form of p/q, where p and q are algebraic expressions and q ≠ 0.
From the given options, F(x) is written in the form p/q,
Where, p = x - 5 and q = 3x.
Therefore, The rational function is, F(x) = (x - 5)/3x, where x ≠ 0.
As at x = 0 the function is undefined.
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Which investment strategy would work best if you wanted to grow your investment slowly without losing much money?
A. Low risk, high return
B. Low risk, low return
C. High risk, low return
D. High risk, high return
The best answer to your question is gonna be low risk low return.
Express each ratio as a fraction in simplest form.
2 gallons to 27 quarts
The ratio 2 gallons to 27 quarts as a fraction in its simplest form is 4/27
The given ratio is:
2 gallons to 27 quarts
This can also be written as:
2 gallons : 27 quarts
Convert 27 quarts to gallons so that both items in the ratio can be of equal unit
Note that:
1 quart = 0.25 gallons
27 quarts = 0.25 x 27
27 quarts = 6.75 gallons
The ratio can therefore be re-written as:
2 gallons : 6.75 gallons
In fraction form:
2 gallons : 27 quarts = 2/6.75
Multiply the numerator and denominator by 4
2 gallons : 27 quarts = 4/27
The ratio 2 gallons to 27 quarts as a fraction in its simplest form is 4/27
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If 35 liters of petrol cost $21.00, what is the price per liter?
Step-by-step explanation:
if 21 dollars = 35 liters
the ? dollars = 1 litre
it will be less so more which is the 35 divides
so we have
1/ 35 ×21
21/35
0.6
Paolo is using his grandmother’s cookie recipe. He always doubles the amount of chocolate chips and oats. The recipe calls for 212 cups of chocolate chips. The total amount of chips and oats after doubling is 613 cups.
Write an equation to find the original amount of oats, x, in the recipe.
Answer:
y = 94.5 cups
Step-by-step explanation:
Let's say:
y = oatsx = chocolate chips = 212=> Full Recipe = 212 + y
=> 2(Full Recipe) = 2(212 + y) = 613 cups
=> 2(Full Recipe) = 424 + 2y = 613 cups
=> 2y = 613 - 424
=> 2y = 189
=> y = 94.5
Therefore, the required oats to do double the recipe is 94.5 cups.
Hoped this helped.
[tex]GeniusUser[/tex]
What does a fraction represent
Solve using the Quadratic Formula:
a) -7x^2 + 7x + 1 = -8
b) -6x - 1 + 5x^2 = 8x^2
Show your work.
A. - 7x² + 7x + 1 + 8 = 0
- 7x² + 7x + 9 = 0
x = - b ± √b² - 4ac / 2a
= - 7 ± √7² - 4 (-7) (9) / 2 (-7)
= - 7 ± √49 + 252 / - 14
= - 7 ± √ 301 / - 14
x = - 7 + 17.349 / - 14 x = - 7 - 17.349 / - 14
= 10.349 / - 14 = - 24.349 / - 14
= - 0.739 = - 1.739
B. 8x² - 5x² + 6x + 1 = 0
3x² + 6x + 1 = 0
x = - b ± √b² - 4ac / 2a
= - (-5) ± √-5² - 4 (3) (1) / 2 (3)
= 5 ± √25 - 12 / 6
= 5 ± √ 13 / 6
x = 5 + 3.606 /6 x = - 5 - 3.606 / 6
= 8.606/6 = - 8.606/6
= 1.434. = - 1.434
please re-check the answers hope this helps
When Brianna plays solitaire, she keeps track of how many times she wins and loses. She has won
2
games for every 3 that she has lost. If Brianna has won 18 games, how many games has she played in all?
games
expand 7(2x+7). need help quickly if possible
Hello there! :)
To expand this expression, we have to use the Distributive Property, which states:
a(b+c)=ab+ac
7(2x+7)=14x+49
Hence, 14x+49 is the expression (Answer)
Hope it helps you!
~A lonely teen who helps others and listens to her favourite song "How Far I'll Go
-Grace ;-)
Good luck.
7 (2x + 7)
= (7 × 2x) + (7 × 7)
= 14x + 49
_____
Hope it helps ⚜
PLEASE I AM IN DESPERATE NEED OF HELP
Answer:
third one
Step-by-step explanation:
a number is less than 3 1/2
The function f(x) is graphed below. Determine whether the degree of the function is
even or odd and whether the function itself is even or odd.
Answer:
even
Step-by-step explanation:
trinomios de 6x 2 + 13 x + 5
Answer:
77
Step-by-step explanation:
6x2 = 12
13x5 = 65
65+12 = 77
The answer is 77.
Describe the slope of the line with the equation
y = -4x + 10.
A: positive slope
B: negative slope
C: zero
D: undefined
[tex]\huge \tt༆ Answer ༄[/tex]
The given equation of the line is in slope intercept form, and if we equate the given equation with general equation of line (y = mx + c) , we will get slope (m) = -4
And therefore, the slope of the line is B
Negative4x + 5y = 18.5
2x + 4y = 13
Work out the values of x and y.
Answer:
x = 1.5 , y = 2.5
Step-by-step explanation:
4x + 5y = 18.5 → (1)
2x + 4y = 13 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the x- term
- 4x - 8y = - 26 → (3)
add (1) and (3) term by term to eliminate x
- 3y = - 7.5 ( divide both sides by - 3 )
y = 2.5
Substitute y = 2.5 into either of the 2 equations and solve for x
Substituting into (1)
4x + 5(2.5) = 18.5
4x + 12.5 = 18.5 ( subtract 12.5 from both sides )
4x = 6 ( divide both sides by 4 )
x = 1.5
Question is on the picture
Answer:
B. 30/65 and experimental
Step-by-step explanation:
If you could please help, what is the missing answer?
Thank you to anyone who helps out!
Answer:
48
Step-by-step explanation:
let s be the snowman, g be the girl, and t be the christmas tree
2s+g=24
2t+2ts=132
3t+2g=26
subtract 2 times the first equation from the third one to get
3t-4s=-22
from the second equation we can deduce
2t(1+s)=132
t(1+s)=66
t=66/(1+s)
Substitute:
3(66)/(1+s)-4s=-22
3(66)/(1+s)=4s-22
3(66)=(4s-22)(1+s)
3(66)=-18s+4s^2-22
4s^2-18s-220=0
using the quadratic formula, we get s = 10, s = -5.5.
2(10)+g=24
g=4
2t(1+10)=132
2t=12
t=6
So 2s+t*g= 20+6*4=48
you would get a different solution for the negative s, but since snowmen cannot be negative, 48 is the answe.r
help me 6= a/4 + 2
It's a two-steps equations
6=a/(4+2)
6=a/6
Now multiply both sides by 6 to cancel one of them.
6*6=6*a/6
6*6=a
36=a
Solve for m.
F/m=a
pls help timed
Answer:
M=F/A
Hope this helps
the temperature of the fish tank must be atleast 68F but no more than 77F
Answer:
72 f
Step-by-step explanation:
Jimez has $27 in his pocket. Which is the least number of bills that he can have, assuming he could possibly have $1, $5, $10, and $20.
(A) 3
(B) 4
(C) 5
(D) 8
Answer:
4, because he could have a 20 a 5 and two ones.
Step-by-step explanation:
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Find the slope of the line that passes through (9,5) and (4,1).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Submit
Answer:
-8
Step-by-step explanation:
In order to find the answer to this question you need to use the slope formula, substitute, subtract, and simplify if needed.
[tex](9,5),(4,1) = (x^1,y^1), (x^2,y^2)[/tex]
[tex]m = \frac{y^2-y^1}{x^2-x^1} = \frac{9-1}{4-5}[/tex]
[tex]9-1=8[/tex]
[tex]4-5=-1[/tex]
[tex]= -8[/tex]
Hope this helps.
Paul has thirteen coins in his piggy bank. Some of the coins are quarters, some are nickels, and he has a total of $3.55. Which system of equations can be used to determine how many quarters, x, and how many nickels, y, he has?
A.
x + y = 13
0.25x + 0.5y = 3.55
B.
x + y = 13
0.25x + 0.05y = 3.55
C.
x + y = 13
25x + 5y = 3.55
D.
x + y = 3.55
0.25x + 0.05y = 13
Answer:
The answer is B
Hep help help math math math
Answer:
525
Step-by-step explanation:
hope this helps
Answer:
526
Step-by-step explanation:
The proportional relationship between the number of hours Taylor works, h, and her total earnings in dollars and cents, e, can be represented by the equation e=15.9he=15.9h. How much does she make in dollars and cents per hour?
The amount she makes in an hour is $15.90.
The amount Taylor earns is directly proportional to the hours Taylor works.
The equation that can be used to represent direction proportion is:
y = kx
where:
y = dependent variable
k = constant of proportionality
x = independent variable
e = 15.9h
Amount earned in an hour
e = 15.9(1)
e = $15.90
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A hexagon has equal side lengths and angle measures. How many reflectional symmetry does the regular hexagon have?.
The regular hexagon has 6 reflectional symmetries.
A regular hexagon has 6 congruent sides.
The number of sides of a polygon is the number of reflectional symmetry the polygon have.
Since the number of congruent sides of a regular hexagon is 6, then the regular hexagon has 6 reflectional symmetries.
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Answer:
It´s 6
Step-by-step explanation: Hope it helps ^w^
someone help please :)
Answer: not shaded i think
Step-by-step explanation:
Answer:
Not shaded, because the equation is not true when you plugged in ( 0,0)
Step-by-step explanation:
100,105,110.25… recusive formula
Answer:
a[1] = 100
a[n] = 1.05·a[n -1]
Step-by-step explanation:
The given terms do not have a common difference, but do have a common ratio. Each is 1.05 times the previous. This is expressed in a recursive relation as ...
a[1] = 100
a[n] = 1.05·a[n -1]
Verify whether:
p(x)= 3x+1 has x=-1/3 as a factor
Hey there!
p(x) = 3x + 1
y = 3x + 1
y = 3(-1/3) + 1
y = -1 + 1
y = 0
Therefore, your answer SHOULD be: y = 0
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
If F is the function defined by F(x)=3x−1 find the solution set for F(x)=−7
[tex]f(x) = -7 \\\\\implies 3x -1 = -7\\\\\implies 3x = -7 +1 \\\\\implies 3x = -6\\\\\implies x = - \dfrac 63 =-2[/tex]
40% of 58 and 34% of 76
pls subscribe to aphmau it'll help her alot
Answer:
See below
Step-by-step explanation:
40% of 58 = 0.40(58) = 23.2
34% of 76 = 0.34(76) = 25.84
Answer:
23.2
25.84
Step-by-step explanation:
To calculate percentage, multiply the number by the percentage's decimal.
for example, 20% of 300
20%-->20/100---->0.20
300×0.20=60
40% of 58--->
40/100--->0.40
58×0.40=23.2
34%--->34/100--->0.34
0.34×76=25.84
Mr. Allen says that the equation y=2x+1 has a solution of (4, 9). Is Mr. Allen right or wrong?
Answer:
right
Step-by-step explanation:
y=2x+1
9=2(4)+1
9=8+1
9=9