Olivia is going to use a computer at an internet cafe. The cafe charges an initial fee to use the computer and then an additional price per minute of usage. An equation representing the total cost of using a computer for tt minutes at the internet cafe is given by C=0.10t+7.C=0.10t+7. What is the slope of the equation and what is its interpretation in the context of the problem?
Answer:
Slope=0.10
Interpretation: For every minute Olivia is in the cafe she is getting charged 10 cents
Step-by-step explanation:
The slope is a constant followed by a variable (a,x,b,z,etc...) So the only constant with a variable after it was the 10.
Answer:
The slope of the function is 0.10 which represents the additional charge per minute.
Step-by-step explanation:
The slope shows how much the amount Olivia must pay increases each minute, representing the cost per minute of using the computer after the initial charge.
On the interval [x,7] , at which x-value is the average rate of change 56?
????????
Average rate of change of 56 at the point x=4
What is average?An average is a single number taken as representative of a list of numbers
What is rate of change?A rate of change is a rate that describes how one quantity changes in relation to another quantity
Consider the point 4
At x=4; f(x)=24
At x=7: f(x)=192
Average Rate of change = Rate of change of f(x) / Rate of change of x
Average rate of change =[tex]\frac{192-24}{7-4}=\frac{168}{3}[/tex]
Average rate of change = 56
Hence, the average rate of change of 56 at the point x=4
Learn more about Average and rate of change here
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Help pls!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
No
If DEC△ABC∼△DEC, find the values of x and y.
Answer:
X = 8
Y = 35
Step-by-step explanation:
All you need to do to solve this problem is use the Pythagorean Theorem
The leg of the triangle are A and B and C represents the hypotenuse. All you need to do is plug in the values into the equation and there u have it.
If a person walks 14 mile in 10 minutes, how far will that person walk in one hour?
Answer:
They would walk 84 miles in one hour.
Step-by-step explanation:
14 x 6 (One hour) = 84 miles
Hope this helps ^^
Answer:
84
Step-by-step explanation:
because 1 hour equals 60 mins so 6 x 14
Bob is driving home from his vacation to see the Grand Canyon. When he stops to check his map, he notices that he is 320 miles from home. He calculates that he should be able to cover 60 miles of road each hour on his journey home.
Dependent variable:
Independent variable:
Function notation:
Answer:
Whats the question
Step-by-step explanation:
i think the independent variable is the miles from home
the dependent is the miles per hour
PLZ HAAAALP
One winter day, the temperature was -15°F. Later that day, the temperature rose 12°F to reach the high temperature for the day. If t represents the high temperature, what is t?
Answer:
-3°F
Step-by-step explanation:
-15 + 12 = -3
Answer:
-3
Step-by-step explanation:
3
个
2x
38
V-2
24
丰
36
Z+88
X=
Answer:
no
Step-by-step explanation:
ni
nni
n
What is the probability of the spinner stopping on an even number?
4
11
2
6
7
3
5
8
10
9
O A 2
B.
10
O
C.
10
OD
5
10
d
E.
10
Answer:
5/10
D
Step-by-step explanation:
Its a even number to amount of numbers ratio
5:10
It's candy time! Suppose 5 friends go out candy collecting. Starting out, Ms. Gleason gave each of them 12 pieces of candy. Then, they each collect 15 pieces each hour. At the end of the night, the 5 friends have 510 pieces all together. How many hours were they out candy collecting? ______ hours Multi-Step Equations
Answer:
6 hours
Step-by-step explanation:
First, since they all collected 510, you divide 510 by 5, to figure out how much each person got.
You then know that each of them got 102 candies, so now, you subtract 12 from from 102, since the teacher gave them that much in the beginning.
You're left with 90, so last step is to divide 90 by 15, since they collect 15 every hour, which you get left with 6. Meaning they collected candies for 6 hours
Answer:
they were out for 6 hours and each of them got 102 pieces of candy
HELP
A gym offers regular memberships for $80 per month and off-peak memberships for $60 per month. Last month, the gym sold a total of 420 memberships for a total of $31,100. The following system of equations models this scenario:
80x + 60y = 31,100
x + y = 420
How many of the memberships sold were regular memberships?
Answer:
The correct answer is D. 295
Step-by-step explanation:
Hope i helped !
Have a great day :)
Answer:
D : 295
Step-by-step explanation:
I need this answer ASAP
Answer:
216 cm²
Step-by-step explanation:
6*6=36
36*6=216
3х – 5y= 27
х +4y = -8
Solve the system of equations.
Which number line best represents - 2.6?
A.
1
2
3
B.O
-3
-2
-1
COH
2
1
DOH
-4
-3
-2
Factor 8x+48 using the gcf
Answer:
16(2z -3)
Step-by-step explanation:
There are two ways of solving this problem.
List out the factors of the numbers:
32z - 48
= 32 * z - 48
32= 1, 2, 4, 8, 16, 32
48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
the largest common factor that both numbers have in common is 16,
So factoring the equations means the one has to divide the equation by 16 and write it outside of the parenthesis.
16 * ( 2 * z - 3)
16(2z -3)
Another way of solving the problem:
prime factorize the number:
32 = 2^5
48 = 2^4 * 3
Both numbers have 2^4 as their largest factor in common meaning that that is their GCF. 2^4 is 16.
Now factor out 16 and write it on the outside of the parenthesis.
16 * ( 2 * z - 3)
16(2z -3)
Answer:
8(x+6)
Step-by-step explanation:
hope this helps
how do you simplify 3x +10-8+2x
b) Amount
Rs 5760, Interest
Rs 1526
Given :
Amount, A = 5760 Rs.
Interest in the amount, I = 1526 Rs.
To Find :
We need to find the % rate of interest.
Solution :
Let, us assume it is simple interest.
So,
[tex]Interest = \dfrac{price \times rate \times time}{100}\\\\1526 = \dfrac{5760 \times r \times m}{100}\\\\r = \dfrac{152600}{5760m}\\\\r = \dfrac{26.5}{m}[/tex]
Hence, this is the required solution.
Find the value of 4/5 divided by 8/15. You must simplify.
Answer:
3/2
Step-by-step explanation:
Assuming you meant fractions, to divide them, you must multiply the reciprocal of that fraction. You'll then have:
4/5x15/8
Reduce the numbers of the greatest common factor which is 5:
4x3/8
Reduce the numbers of the greatest common factor which is now 4:
3/2 is your answer
How many 2/3-quart portions are in 7 1/2 quarts of soup?
How many 2/3-quart portions are in 7 1/2 quarts of soup?
8
I will mark you
Given the relation: (0,0), (5,10), (6,12), (10,20) and based on the definition of function, is that relation a function?
Why or why not?
Answer:
Yes, because the x's do not have more than one y.
Step-by-step explanation:
x y
0 0
5 10
6 12
10 20
(That's meant to be a table). Looking at the x and y table values, you can see that none of the x's have two y's. So, this relation is a function.
Jim is twice Sharon's age together their ages add up to 27. how old is each person?
Answer:
Jim is 18, Sharon is 9.
Step-by-step explanation:
Sharon has to be 9. Two times 9 is 18, then add 9 to it for sharons age, and you get 27. hope this helps :)
Answer:
Jim is 18. Sharon is 9.
Step-by-step explanation:
9+9=18
18+9=27
someone pls help me with question 5 PLEASE :(
Answer:
the third one
Step-by-step explanation:
the pattern is /5
3/5 and then
(3/5)/5 = 3/25
solve the equation. check your solution. 2/9g=-8
g=-36
Solving the equation:
(2/9)g=-8
(9/2)(2/9)g=-8(9/2)
g=-4(9)
g=-36
The functions u and w are defined as follows.
u(x) = 2x+2
w(x) = – 2x² +2
Find the value of w (u(2)).
Answer:
w(u(2)) = -70
Step-by-step explanation:
u(x) = 2x + 2
w(x) = -2[tex]x^{2}[/tex] + 2
w ( u (2) )
Find u(2), substitute in 2 for x in the function u.
u(2) = 2(2) + 2
= 4 + 2
= 6
w(u(2))
= w(6)
Now subsitute in 6 for x, in the function w.
w(6) = -2[tex](6)^{2}[/tex] + 2
= -2 * 36 + 2
= -72 + 2
= -70
w(6) = -70
w(u(2)) = -70
The solution of a system of equations with no solution describes what kind of lines?
options:
parallel
coincidental
perpendicular
intersecting
Answer:
parallel
Step-by-step explanation:
The answer is parallel because Since parallel lines never cross, then there can be no intersection; that is, for a system of equations that graphs as parallel lines
Please help ASAP....A Donut shop sells donuts for $0.75 each with a charge of $1.50 for the box. Write a rule in function notation for this situation.
Options is the mage
The answer is the first option.
ON
tab
q
W
Q
S
shift
Z
х
ctrl
alt
Answer:
wait, what is the question?
write the following numbers in order starting with the smallest 1.75kg 1975g 0.9kg 1800g
0.9kg
1.75kg
1800g
1975g
Rochelle bought 12 spiral notebooks for school. Each notebook cost $1.50, including tax. Which
number sentence could you use to find C, the change that Rochelle received when she paid with a
$20 bill?
What is the y-intercept of the graph?
Answer:
4
Step-by-step explanation: