Answer:
a. The given equation is d = -75·t + 275 is a function
b. f(t) = -75·t + 275
c. 275 km
d. The situation does not makes sense for t > 11/2 hours.
Step-by-step explanation:
a. Given that a relation is a functional relation if for each input of a member in the relation, there is only one output for the other member, therefore;
The given equation is d = -75·t + 275 is a function
As when t = 1, d = 200 km
b. The equation written in functional notation, f(t) is f(t) = -75·t + 275
c. At the start of the journey, t = 0
Therefore;
f(0) = -75×0 + 275 = 275 km
d. The values of t that do no make sense in the function are given as follows
0 = -75×t + 275
t = 275/75 = 11/3 = 3.67 hours
For times above 3.67, the distance becomes negative
Therefore, the situation does not makes sense for t > 11/2 hours.
Question 5 Parent Function Graph
Answer:
a. Linear
A linear line is straight.
If the trip from Paris, France, to Geneva, Switzerland, takes 5 hours, and the train travels at 130 miles per hour, how many miles from Paris is Geneva?
Answer: 650 miles
Step-by-step explanation:
If it takes 5 hours to go from Paris to Geneva and a train is travelling at 130 miles per hour then multiply the total number of miles per hour by 5 to find how many miles you will have to travel from Paris to Geneva.
130 * 5 = 650
What is the greatest common factor of 30, 45, and 35?
Answer:
5
Step-by-step explanation:
Answer:
The prime factors of 30 are 2 x 3 x 5. The prime factors they have in common are 3 x 5. 3 x 5 = 15. The greatest common factor is 15
The greatest common factor of 35 and 15 is 5. The 'greatest common factor' is sometimes called the 'GCF.
Greatest Common Factor (GCF) of two numbers
the factors of 40 are 1, 2, 4, 5, 8, 10, 20 and 40, and the factors of 50 are 1, 2, 5, 10, 25 and 50.
Step-by-step explanation:
A shop buys a pair of shoes for $50. They sell them for $60. What is the mark–up on the shoes?
Answer:
The markup for the shoes is 20 percent.
Step-by-step explanation:
-7/4+0+-9/5+19/10+11/4
Answer:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Step-by-step explanation:
bbbbbbbbb
Substitute the value of x back into the equation x + 3 – 2x = negative 2 x equals negative StartFraction one-fourth EndFraction plus StartFraction one-half EndFraction x plus 5. + x + 5 to justify the solution. What value of x is the solution?
Answer:
first one is -1 and the second question that comes up is 1, 2, and 6
Step-by-step explanation:
edge 2020
What is the range of h?
The local humane society is restocking on cat food to prepare for kitten season. Very young kittens need kitten formula which costs 3.99 per bottle. Older kittens need wet cat food which costs 1.5 per can.
Answer:
Step-by-step explanation:
A.) Let z be the variable denoted for the total cost of all kitten supplies. Then, let x be the number of bottles and let y be the number of cans. The equation would be:
z = 3.99x + 1.50y
The coefficients are 1 for z, 3.99 for x and 1.50 for y.
There are no constants.
The variables are z, x and y.
Part B.) Substitute x=30 and y=120 to the equation in part A to determine z.
z = 3.99(30) + 1.50(120)
z = $299.7
Part C.
Sales tax would be 7% of the total cost. This would be added as a constant. The expression would be:
z = (3.99x + 1.50y)(1+0.07)
Substituting x=30 and y=120,
z = (3.99*30 + 1.50*120)(1+0.07)
z = $320.679
2. Evaluate 3(6 – 5) + 4
Answer:
7
Step-by-step explanation:
We first start by simplifying the bracket.
(6 - 5) = 1,
Now we have
3(1) + 4
3 + 4 = 7
also, if you expand instead of simplifying, you get.
(3*6 - 3*5) + 4
(18 - 15) + 4
3 + 4 = 7
Irrespective, the answer is 7
Factorise 2xy-2x+6-6y
Answer:
2(y−1)(x−3)
Step-by-step explanation:
Factor 2xy−2x+6−6y
2xy−2x−6y+6
=2(y−1)(x−3)
Over a period of a week, the 4 people in Group C ran a total of 27 miles, while the
6 people in Group D ran a total of 39 miles. On average, who ran more miles-an
individual in Group C or an individual in Group D?
The parallelogram shown below has an area of 15 squared. Find the missing height. h=? units
Answer:
5 units
Step-by-step explanation:
The area of a parallelogram is given by the formula:
[tex]A=bh[/tex]
Where b is the base and h is the height.
So we know that the area is 15. We can also see that the base is 3. Thus:
[tex]15=3h[/tex]
Divide both sides by 3:
[tex]h=5[/tex]
So, the height is 5 units.
Answer:
h=3 units
Step-by-step explanation:
Equation for finding the area of a parallelogram:
b·h=area
Equation for this answer:
3·h=15
So divide 15 by 3 and you will get your answer.
15÷3=5
So the answer is:
3·5=15
there are two baskets each of them containing 18 apples 10 apples are rotten and not fit for eating you add 4 more apples and then divided among 6 friends .how many apples would each get??
Answer: 5
Step-by-step explanation: 2 baskets containing 18 each= 36 -10 rotten apples = 26 +4 apples= 30 divided by 6 friends is 5 each
Step-by-step explanation:
Two baskets containing 18 apples = 36
and 10 apples are rotten = 36 - 10 = 26
and you add 4 more apples = 26 + 4 = 30
again,
you divide among 6 friends = 30 ÷ 6 = 5
Therefore, 5 apples each!
What is the difference between two measurements of
the same object with values of 3.4 and 3.42?
Answer:
The percentage difference between 3.4 and 3.42 is 0.58651% or 0.02.
Step-by-step explanation:
Find the absolute difference between two numbers: |20 - 30| = |-10| = 10
Find the average of those two numbers: (20 + 30) / 2 = 50 / 2 = 25
Divide the difference by the average: 10 / 25 = 0.4
Express it as percentages: 0.4 * 100 = 40%
in this case, it would be 3.4 and 3.42
Answer: 0.02
Step-by-step explanation: 3.42 is bigger than 3.4 and they are asking for the difference between the two measurements. So, you subtract the 3.4 from the 3.42
what is the square root of 415
hey the square root is 20
Answer:
20.37
Step-by-step explanation: caculated!!
The sum of two consecutive integers
Plot the approximate location of √6 on the number line JUST ANSWER IT
Answer:
Step-by-step explanation
That's the answer
The position of the √6 on the number line is slightly right of the 2.4.
We need to determine the approximate location of √6 on the number line.
What is a number line?A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
In the general conclusion,
√4< √6 < √9
2 < √6 < 3
So, the value of the √6 lies between 2 and 3.
√6 = 2.445
So the position of the √6 on the number line is slightly right of the 2.4.
Thus, the position of the √6 on the number line is slightly right of the 2.4.
Learn more about number line here:
brainly.com/question/17683084
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The value of 1.999... in the form p/qwhere p and q are integers and q not
equal to 0 is
Answer:
Step-by-step explanation:
1999/1000
Answer:
1999/1000
please mark me a brainlist
Least to greatest 2.71,2 3/4,5,5/2
Answer:
3/4<5/2<2.71
Step-by-step explanation:
3/4<5/2<2.71
Answer:
5/2, 2.71, 2 3/4, 5/2
Step-by-step explanation:
This is because (5/2) is equal to 2.5
and 2.71 is equal to 2.71
then (2 3/4) is equal to 3.75
and finally 5 is just 5, so then you put them in order (Least to Greatest) and then you revert them back to their original form.
hope this helps.
You hungrily remove frozen meat from the fridge. Its temperature is 28
degrees Fahrenheit. Its temperature is increasing by 3 degrees Fahrenheit
every five minutes. What will its temperature be after 30 minutes?
Simplify 16 + 5.6 + 0.681
Answer:
16+5.6..to solve it yiu will have to put it like this...
16.0+5.6=21.6.
21.6+0.681=22.281.
On simplifying we get the answer as 22.281
What is the BODMAS rule?According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.
Given here, the expression is 16 + 5.6 + 0.681 =22.281
Hence, on simplifying we get the answer as 22.281
Learn more about the BODMAS rule here:
https://brainly.com/question/29795897
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If a bullet travels at 827.0 m/s , what is its speed in miles per hour?
Answer: 2,977,200 miles per hour
Step-by-step explanation: This is true because taking that that is miles per second there is 60 seconds in a minute so times that by 60 and there are 60 minutes in an hour so times that last answer by 60 again which gives you the answer
Rewrite the expression in the form o
[tex] {a}^{n} [/tex]
Answer:
a^ (5/2)
Step-by-step explanation:
a^5 ÷ a ^ (5/2)
We know that x^b ÷ x^c = x^ ( b-c)
a^ ( 5 - 5/2)
a^ ( 10/2 - 5/2)
a^ (5/2)
Answer:
[tex]a^{\frac{5}{2} }[/tex]
Step-by-step explanation:
Using exponent rules, if we have [tex]a^x \div a^y[/tex] then the result can simplify to [tex]a^{x-y}[/tex]
So [tex]a^5 \div a^{\frac{5}{2}}[/tex] is the same as [tex]a^{5 - \frac{5}{2}}[/tex].
[tex]\frac{5}{1} - \frac{5}{2} = \frac{10}{2} - \frac {5}{2} = \frac {5}{2}[/tex]
So [tex]a^{\frac{5}{2}}[/tex].
Hope this helped!
d = 125 - 55h math identify and interpret the independent variable
Answer:
h is independent variable
Step-by-step explanation:
The value of d depends on h. Therefore h is independent variable.
Solve the following equations below by showing all the steps.
- 1. 9(4 - 2x) – 3 = 4 - 6(3x – 5)
Answer:
No real solution
Step-by-step explanation:
First off I'm assuming that the 1 or -1 at the begging is just the problem number:
First you distribute on both sides
36 - 18x - 3 = 4 - 18x + 30
Then combine like terms
33 - 18x = 34 - 18x
Then rearrange the terms by adding 18x to both sides and subtracting both sides by 33. You should get:
0 = 1
When you add positive 18x it cancels the -18x out. And 34 - 33 is 1. Obviously, zero cannot equal 1 so there is no real solution
Evaluate 8r
rs when r
6 and s = 5.
Answer:
18
Step-by-step explanation:
I am assuming you meant 8r-rs, in this case:
Plug in r=6 and s=5:
8(6)-(6)(5)
8*6 = 48 and -6*5= -30
Thus,
48-30= 18
Answer 78
Step-by-step explanation:
A marathon race is 26.2 miles. While running the marathon, Maxwell stops every 3.25 miles for water. If he has already stopped for water 5 times, how many more miles does Maxwell have to run? PLEASE HELP I WILL MARK YOU BRAINLIEST AND PLEASE EXPLAIN
Answer:
Hey there!
If he has already stopped five times for water, he has run 5(3.25), or 16.25 miles.
He has 26.2-16.25, or 9.95 more miles to run.
Let me know if this helps :)
Answer:
9.95 miles
Step-by-step explanation:
How many times he stopped × number of miles before break = total miles that has been run.
3.25 × 5 = 16.25
26.2 - 16.25 = 9.95 miles.
please help i need y intercept and slope
Answer:
slope: 1 /8
y-intercept: ( 0 , − 1 /4 )
Consider the equation 3p – 7 + p = 13. What is the resulting equation after the first step in the solution?
p – 7 = 13 – 3p
2p – 7 = 13
3p – 7 = 13 – p
4p – 7 = 13
Answer:
4p - 7 = 13
Step-by-step explanation:
The first step of the solution should be to simplify the left side by combining like terms. In this case, 3p and p are the like terms and 3p + p = 4p so the answer is 4p - 7 = 13.
Answer:
4p - 7 = 13
Step-by-step explanation:
Please help me with this question It’s due is in 5 min plzzz help I will beg ur legs
Answer:
[tex]\frac{s}{2t}[/tex]
Step-by-step explanation:
When you have exponents above a like term and they are being multiplied together, you add them.
For example:
[tex]a^{x} *a^{y} = a^{x + y}[/tex]
So let's group like terms in the numerator:
[tex]4r^{3} r^{-5} s^{-2} s^{-1}t[/tex] We can add terms like in the example.
[tex]4 r^{-2} s^{-3} t[/tex]
Let's rearrange the denominator.
[tex]8r^{-2} s^{-4} t^{2}[/tex]
Now we have:
[tex]\frac{4r^{-2} s^{-3}t}{8 r^{-2} s^{-4} t^{2} }[/tex] Cancel like terms
4/8 = 1/2
[tex]r^{-2} /r^{-2}[/tex] = 1 So it cancels
[tex]s^{-3} / s^{-4} = s^{-1}[/tex] = s Since s is raised to the -1 it goes on top and becomes s.
[tex]t / t^{2} = 1/t[/tex]
Now we combine everything back together:
[tex]\frac{s}{2t}[/tex]