Answer:
C
Step-by-step explanation:
The rate of change in the cost to rent the bike with respect to the number of rental hours will be $2.5 per hour so option (B) will be correct.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
In another word, a linear function is a function that varies linearly with respect to the changing variable.
The rate of change is also called the slope of the function.
Since it is a linear function so slope will remain constant.
Slope = difference in ys coordinate/difference in xs coordinate
Slope = (30-5)/(10-0) = 2.5
Hence "The rate of change in the cost to rent the bike with respect to the number of rental hours will be $2.5 per hour".
For more about the linear function,
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Which number is positive?
-87
-20
9
-6
Answer:
9 that is the answer.....
Answer:
the answer is 9
Step-by-step explanation:
the rest are negative numbers
find the prime factorization of 30,031
Answer:
30,031 is not a prime, is a composite number. Integer prime factorization, as a product of prime factors: 30,031 = 59 x 509.
Step-by-step explanation:
Let's learn by having an example, take number 220 and build its prime factorization.
0) We need the list of the first prime numbers, ordered from 2 up to, let's say, 100: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97. Prime numbers are the building blocks of the composite numbers' prime factorization process.
1) Start by dividing 220 by the first prime number in our list, 2 (start with the smallest prime number). We could have skipped the division by 2 if our number were an odd number, ie. 221.
220 ÷ 2 = 110; remainder = 0 => 220 is divisible by 2 (2 | 220) => 2 is a prime factor of 220. => 220 = 2 × 110.
2) Divide the result of the previous operation, 110, by 2, again:
110 ÷ 2 = 55; remainder = 0 => 110 is divisible by 2 (2 | 110) => 2 is once again a prime factor of 220 => 220 = 2 × 2 × 55.
3) Divide the result of the previous operation, 55, by 2, again:
55 ÷ 2 = 27 + 1; remainder = 1 => 55 is not divisible by 2.
4) Move on, divide 55 by the next prime number, 3 (notice that the sum of digits of 55 is 5 + 5 = 10 is not divisible by 3, so 55 is not divisible by 3):
55 ÷ 3 = 18 + 1; remainder = 1 => as we already said, 55 is not divisible by 3.
5) Divide 55 by the next prime number, 5:
55 ÷ 5 = 11; remainder = 0 => 55 is divisible by 5 (5 | 55) => 5 is yet another prime factor of 220 => 220 = 2 × 2 × 5 × 11.
6) Notice that the remaining number, 11, is also a prime number, so we've got already all the prime factors of 220.
7) Conclusion, 220 prime factorization: 220 = 2 × 2 × 5 × 11.
This can be written in a condensed form, in the exponent notation: 220 = 22 × 5 × 11.
− 2 3 y − 3 5 x + 2 9 − 4 5 x + 1 3 y Let x = 5 and y = 3. − 2 3 (3) − 3 5 (5) + 2 9 − 4 5 (5) + 1 3 (3) = −2 − 3 + 2 9 − 4 + 1 = −77 9 Use the work shown. Which expression is equivalent to Negative two-thirds y minus three-fifths x + StartFraction 2 over 9 EndFraction minus four-fifths x + one-third y? y minus four-fifths x + StartFraction 2 over 9 EndFraction minus two-thirds y minus one-fifth x Negative y minus four-fifths x + StartFraction 2 over 9 EndFraction + two-thirds y + three-fifths x One-third y minus StartFraction 7 over 5 EndFraction x + two-thirds minus two-thirds y minus StartFraction 4 over 9 EndFraction Two-thirds y minus StartFraction 7 over 5 EndFraction x + StartFraction 2 over 9 EndFraction + y
Answer:
c
Step-by-step explanation:
Answer:
yo
Step-by-step explanation:
its C
trust me
i did edge
Please solve for x. Someone helppppp
Answer:
36
Step-by-step explanation:
MPA is a right angle 90 + (1/2x +15) + (2x-50) = 180
- 90 -90
(1/2x + 15) + (2x - 50) = 90
- 15 -50 -65
1/2x + 2x = 90
2&1/2x (2.5) = 90
/2.5 /2.5
x = 36
I need to find the value of y
Answer:
x = 98
y = 126
Step-by-step explanation:
If you match triangle abc to triangle cde, you will match where x and y is.
168 ÷ 12 = 14
Now you multiply 14 by the other side lengths
9 • 14 = 126
7 • 14 = 98
It is similar to a dilation.
A recipe for salad dressing calls for 4 parts oil for every 3 parts vinegar.How much oil should you use to make a total of 28 teaspoons of dressing
Answer:
16 teaspoons
Step-by-step explanation:
4x4= 16 teaspoons
The amounts of oil and vinegar combined to make the salad dressing are
in a constant definite proportion.
The quantity of oil required to make 28 teaspoons of dressing is 16
teaspoons.
Reasons:
According to the question, 4 parts of oil are added to every 3 parts of
vinegar.
Therefore;
The ratio or proportion of oil to vinegar in the salad dressing is 4 : 3
4 : 3 = [tex]\dfrac{4}{3}[/tex]
The proportion of oil to vinegar is therefore;
[tex]\mathrm{Amount \ of \ oil = \mathbf{\dfrac{4}{3} \times \ Amount \ of \ vinegar}}[/tex]
Which gives;
[tex]\mathrm{Amount \ of \ vinegar= \dfrac{3}{4} \times \ Amount \ of \ oil}[/tex]
Let x represent the amount of oil required to make 28 teaspoons of dressing,
we have;
[tex]\mathrm{Amount \ of \ vinegar \ required = \dfrac{3}{4} \times x}[/tex]
Which gives;
[tex]\mathrm{x + \dfrac{3}{4} \times x = 28}[/tex]
[tex]\mathrm{x + \dfrac{3}{4} \times x = \dfrac{7}{4} \times x = 28}[/tex]
Therefore;
[tex]x = \dfrac{4}{7} \times 28 = \dfrac{4}{7} \times 7 \times 4 = 4 \times 4 = 16[/tex]
The amount of oil required to make 28 teaspoons of dressing, x = 16 teaspoons.
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can some please help me
Answer:
i think it is D
what calculation is modeled on the number line?
Answer: I think it's-4/10 + (-7/10) = -1 1/5
Step-by-step explanation: number line
Answer:
-4/10 + (-7/10) = -1 1/5
If its incorrect ..........
Step-by-step explanation:
...........I need an image
evaluate the expression if a=-2 and b = 5
If , a = (-2) and b = 5
Then :-
[tex] = \frac{8 \times 5 - 6 \times ( - 5)}{13} [/tex]
[tex] = \frac{40 - ( - 30)}{13} [/tex]
[tex] = \frac{70}{13} [/tex]
[tex] = 5.384615[/tex]
[tex]∴ \: \frac{8 \times 5 - 6 \times ( - 5)}{13} = 5.384615[/tex]
Josh ran 33 miles this week.if he ran the same distance each day for 4 days,what distance did he run each day
(5x+2) - (7x-8) simplify the following
Answer:
-2x + 10
Step-by-step explanation:
Step 1: Write expression
(5x + 2) - (7x - 8)
Step 2: Distribute negative
5x + 2 - 7x + 8
Step 3: Combine like terms
-2x + 10
Answer:
-2x+10
Step-by-step explanation:
All you have to do is combine like terms.
What is the domain of g
Answer:
All real values of 'x'. i.e., the answer to the question is 'E'
I REALLY NEED HELP WORTH 10 POINTS URGENT!!!!!
Answer:
[tex](f\circ g)(4)=31[/tex]
Step-by-step explanation:
Composite Function
Given f(x) and g(x) real functions, the composite function named fog(x) is defined as:
[tex](f\circ g)(x)=f(g(x))[/tex]
For practical purposes, it can be found by substituting g into f.
We have:
[tex]f(x)=3x+1[/tex]
[tex]g(x)=x^2-6[/tex]
Computing the composite function:
[tex](f\circ g)(x)=f(g(x))=3(x^2-6)+1[/tex]
Operating:
[tex](f\circ g)(x)=3x^2-18+1[/tex]
Operating:
[tex](f\circ g)(x)=3x^2-17[/tex]
Now evaluate for x=4
[tex](f\circ g)(4)=3(4)^2-17=48-17[/tex]
[tex]\boxed{(f\circ g)(4)=31}[/tex]
32 lbs of bananas cost $160. How many lbs of bananas can
you get with $225?
Answer:only 32lbs because 160 times 2 is 320 and you only have 225 dollars.
Step-by-step explanation:math
Answer:
45lbs
Step-by-step explanation:
160/32=$5 Per lb of bananas
225/5=45lbs
Which function has the domain x>-11?
Answer:
1
Step-by-step explanation:
-11 + 11 =0
0+1= 1
So it would be 1>-11
Answer:
A
y = [tex]\sqrt{x+11}[/tex] + 5
Step-by-step explanation:
For edge
Find the 5th term for -12,-7,-2,3
The height of an Egyptian pyramid is 146.5 meters and its base is 230.38 meters. Find the slope of the face of a pyramid.
Answer:
[tex]Slope = 1.57[/tex]
Step-by-step explanation:
Given
[tex]Height = 230.38\ m[/tex]
[tex]Base = 146.5\ m[/tex]
Required
Determine the slope
Slope is calculated as thus:
[tex]Slope = Rise/Run[/tex]
In this case:
[tex]Rise = Height = 230.38 m[/tex]
[tex]Run = Base = 146.5 m[/tex]
So, we have:
[tex]Slope = 230.38 / 146.5[/tex]
[tex]Slope = 1.57[/tex] (approximated)
what are the possible rational zeros of f(x)=2x^3-15x^2+9x+22
Answer:
f'(x)=6×^2=30x+9
Step-by-step explanation:
take the derivative of both sides
use differentiation rule
calculate the derivative
simplify the expression
I weigh 180 pounds how much is that in kilograms .
Answer:
81.72 kg
Step-by-step explanation:
1 pound = 0.454 kg
180 pound = 0.454 × 180
= 81.72 kg
Answer:
81.6466 kilograms
Step-by-step explanation:
To convert pounds to kilograms divide the mass value by 2.205
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
plz help !! ty very much!!
Answer:
EZ PZ A
Step-by-step explanation:
Since the 3 in in the thousands Place, Just multiply 3,000 by 100, and you get 300,000. Then just find the one that has a 3 in the one hundred thousands place which would be A.
change 3/5 into decimal
Answer: 0.6
Step-by-step explanation: 3 divided by 5 is the same thing as 30/5 which equals 6. Just move the decimal place one to the left to get 0.6.
Hope this helps! :)
Answer: 0.6
Step-by-step explanation:
Divide 3 by 5, and you end up with the decimal 0.6
Which equation is equivalent to the equation 6x+9=12?
Answer:
x=1/2
Step-by-step explanation:
Simplify:
-2x-2x(5-4x)+3x(4-3x)
Answer:
−x⋅(17x−24)
Step-by-step explanation:
(-2x - (2x • (5 - 4x))) + 3x • (4 - 3x)
(-2x - 2x • (5 - 4x)) + 3x • (4 - 3x)
24x - 17x2 = -x • (17x - 24)
What is the unit rate of the oranges if I purchased 10 oranges for $2.50
Answer:
.25 per orange
Step-by-step explanation:
2.5/10=.25
4/6x 3/5 please help me will give brainliest
Answer:
0.4
Step-by-step explanation:
all I got to say is that the answer is 0.4 %100
An alligator walks 6/7 of a mile in 3/4 of an hour. What is the unit rate
Answer: 2 miles per hour
Step-by-step explanation: This is a fraction equal to
6 miles ÷ 3 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 3
6 miles ÷ 3
3 hours ÷ 3
=
2 miles
1 hour
=
2 miles
hour
= 2 miles per hour
what is the simplified radical of square root of 392?
Answer:
14 √2
Step-by-step explanation:
Given expression:
√392
Simplified radical = ?
Solution:
392 = 8 x 49
= √8 x 49
= 7√8
= 7√4 x 2
= 7 x 2√2
= 14 √2
How many hours are in 45 days
Answer:
Step-by-step explanation:
1,080 hours just multiply 24 and 45
Please help this is urgent and it's due today.
mark the statements that are true