Activity
Andrew is paid $4 per hour for the first 30 hours he works each week. He makes $5 per hour for each hour he works over 30 hours per week. In
other words, total wages = fixed wages for 30 hours + additional wages at $5 per hour.
Apply function notation to answer the following questions about Andrew's wages.
Part D. How does the function notation in this example compare with the standard notation
Answers
Answer:
Step-by-step explanation:
For the first 30 hours, Andrew will earn 4(30) = $120. For each additional hour beyond 30 that Andrew works, he will earn 5(h - 30). Therefore, the function that gives Andrew's total wages when he works more than 30 hours is:
w = 120 + 5(h - 30).
So, if he works 35 hours, he will earn:
120 + 5(35 - 30) = 120 + 5(5) = 120 + 25 = $145.
If he works 42 hours, he will earn:
120 + 5(42 - 30) = 120 + 5(12) = 120 + 60 = $180.
I hope this helps!
Related Questions
the larger of two numbers is nine more then four times the smaller number the sum of the two numbers is sixty-nine find the tow numbers
Answers
Answer:
i do not know
Step-by-step explanation:
12. Which of the following functions is the inverse of f(x) = 3x? (1 point)
Of(x)=-3x
Of(x)=x?
Of(x) =
This function does not have an inverse.
13. Which of the following functions is the inverse of f (x) = 4x-10? (1 point)
x-10
O f (x) =
4
*+10
O f (x) =
4
4
O f(x) =
x-10
4
O f (x) =
x+10
Answers
Answer:
Step-by-step explanation:
12) f(x) = 3x
y = 3x
x = 3y
x/3 = y
13) f(x) = 4x-10
y = 4x - 10
x = 4y - 10 (isolate y)
(x+10)/4 = y
The required inverse function would be f⁻¹(x) = x / 3.
What is an inverse function?The inverse function is defined as a function obtained by reversing the given function.
To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.
We have to find the inverse of the function below :
f(x) = 3x
So after switching x and y,
Now, we solve for y regularly.
f(x) = x = 3y
Solve for y :
⇒ x = 3y
⇒ x / 3 = y
⇒ y = x / 3 = f⁻¹(x)
Therefore, the required inverse function would be f⁻¹(x) = x / 3.
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Complete question is ;
Which of the following functions is the inverse of f (x) = 3x? A. F (x) = -3x. B. F (x) = X3. C. F (x)=x/3 D. This function does not have an inverse.
A line segment has endpoints (0,4) and (5,6).
What are the coordinates of the midpoint?
A. (5/2, -5)
B.(0,6)
C. (3,9)
D. (5/2, 5)
Answers
Answer:
D.
Step-by-step explanation:
because if its 0.6 then the line segment of 0.4 divided by 5.6 is you're mom
I WILL MARK BRAINLIST PLS HELP
Answers
Answer:
a is parallel b
then
10x-23=27
10x=23+27=50
x=50÷10=5
00:00 Choose all of the addition problems in which you add zeros to align place values in the addends. A. 0.04 + 5 + 3.2 B. 18.9 +0.7 C. 1.2 +5.75 +2.8 D. 6.23 + 11.01 + 4.99 o E 15.03 - 23.23
Answers
Plz help it’s due tonight!!!
Answers
Answer: AB≅EF, ∠B≅∠E, BC≅DE
Step-by-step explanation:
AB and EF are both marked with one line, making them congruent.
The same goes for BC and DE since they are marked with two lines.
Angles B and E are congruent because of the marking that is specified in both figures.
A set of four stars form the shape of a rectangle in space. The length of the rectangle is approximately 510,000,000 miles, while the width of the rectangle is approximately 366,000,000 miles. What is the approximate area of the rectangle?
Answers
Answer:
The answer is 89
Step-by-step explanation:
I hope you have a great day and please mark me bye(:
Answer: 98873
Step-by-step explanation:
Which ordered pair is a solution to the following:
Y= -2x + 5
Choose 1 answer:
A: Only (2,-9)
B: Only (-2,9)
C: both
D: neither
Answers
Answer:
Option B: Only (-2, 9)
Step-by-step explanation:
Given the linear equation, y = -2x + 5:
We'll plug in the given options to see which of the ordered pairs will satisfy the equation:
Substitute option A: (2, -9) into the equation:
y = -2x + 5
-9 = -2(2) + 5
-9 = -4 + 5
-9 = 1 (False statement). Therefore, (2, -9) is not a solution.
Substitute option B: (-2, 9) into the equation:
y = -2x + 5
9 = -2(-2) + 5
9 = 4 + 5
9 = 9 (True statement). Therefore, the ordered pair, (-2, 9) is a solution.
The other two options are irrelevant at this point since we've proven that option B is the correct answer.
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eight hundred thirty four thousandths in decimal form:
Answers
The given number can be written as 0.834 in decimal form.
What is a decimal form?"Decimals are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point."
Given number is eight hundred thirty four thousandth.
Here, thousandth is represented as [tex]\frac{1}{1000}[/tex].
Therefore, in decimal form the given number can be written as
[tex]\frac{834}{1000} \\= 0.834[/tex]
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A pair of skate blades costs
$189.00. A pair of skate boots
costs 4 times that much. How
much are the skates and blades
all together?
Answers
Answer:
$945.00
Step-by-step explanation:
Use (189*4)+189 or 189*5 to solve:
189*4= 756
759+189= 945
189*5= 945
Hope this helps!
I’d appreciate it please helpppp
Answers
Answer:
The answer is B. a proportional graph is a straight line that always goes through the origin 0, 0
1/2/-9/5 reduce and express as a simplified fraction
Answers
Answer:
um I'm not sure exactly what you wrote are you asking 1/2 divided by negative 9/5?
if so your answer will be negative 5/18
Question 7 = 2 Points
Oct 06, 8:37:22 PM
Samantha has $600 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax,
• She buys a new bicycle for $399,95
• She buys 3 bicycle reflectors for $7.01 each and a pair of bike gloves for $34.06.
• She plans to spend some or all of the money she has left to buy new bilding outfits
for $75,88 each
Write and solve an inequality which can be used to determine w, the number of
outfits Samantha can purchase while staying within her budget
Answers
Answer:
See belowStep-by-step explanation:
The budget is $600.
Samantha spends the following amount:
399.95 + 3*7.01 + 34.06 = 455.04Now, she plans to buy w outfits which cost $75.88 each.
The inequality for this is:
455.04 + 75.88w ≤ 600Solving this we get:
75.88w ≤ 600 - 455.0475.88w ≤ 144.96w ≤ 144.96 / 75.88w ≤ 1.91w = 1 is the only integer solution greater than zero
Is 2750 a reasonable answer for 917 * 33 explained
Answers
Answer:
No
Step-by-step explanation:
To make this simpler, we will round each number. 917 rounds to 900 and 33 rounds to 30. 900 * 30 = 27,000. We can do this in our head because 9 * 3 = 27, and there are three zeros total between 900 and 30, so we add three zeros after 27. 2750 is not a reasonable answer because the true answer is about 10 times greater than 2750.
priya has a choice for banana bread. she uses 7 1/2 cups of flour to make 3 loaves of bread.
andre will follow the same recipe. he will make b loaves of banana bread using f cups of flour. which of these equations represents the relationships between b and f
b=9/2 f
b=5/2 f
b=2/5 f
b=2/9 f
Answers
Answer:
b=2/5 F
Hope you pass whatever you are doing :)
Error Analysis The solution shown for the equation is
What is the error?
-7(2-1) - 21
-14-7-21
- 7 = 35
r-5
The solution is (Type the value of r)
Answers
-14+7-21
-7-21
-28
Also where did r come from you asking 2 different questions
A landfill has 30,000 tons of waste in it. Each month it accumulates an average of 585 more tons of waste. Let m represent the number of months.
What is a function that represents the total amount of waste after m months?
Answers
Answer:
f(m) = 585m + 30, 000
Step-by-step explanation:
First you need to set up your variable which is m which makes f(m) and since each month gives 585 tons per month we have the variable attached to that (585m). However, we already start with 30,000 so we add that in. You can check the answer by replacing m with a number, which for me I will choose 10, which gives me 35,850 which makes sense.
Solve:
e + 13.2 = 289.47
Answers
Answer:
Evaluate.
15.91828182 = 289.47
What is the value of one over 10 divided by 3 over 5.?
Answers
Answer:
0.00666666666
Step-by-step explanation:
- by nævis
Answer:
1/6
Step-by-step explanation:
3. Consider two 'postulates' given below: 0 Given any two distinct points A and B, there exists a third point C which is in between A and B. (i) There exist at least three points that are not on the same line. Do these postulates contain any undefined terms? Are these postulates consistent? Do they follow from Euclid's postulates? Explain.
Answers
the process by which green plants and some other organisms use sunlight to synthesize nutrients from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a by-product.
What is the solution of log(2 + 4) = log(14-3t)
Answers
Answer:
the answer is 2.66
Step-by-step explanation:
use the calculater
There are 4 consecutive integers that have a sum of 18. What is the value of the least
integer?
Answers
The lowest integer is 3
Myra spends $68.24 on movies. She spends 1/4 of the money buying movies online, and the rest on DVDs. If each DVD cost $17.06, how many DVDs does Myra buy?
Answers
Answer:
She bought 3 DVDs because $17.06 is 1/4 of $68.24
How would you write 0.1 bar as a fraction
Answers
Answer:
1/10
Step-by-step explanation:
Divide 1 by 0.1, which equals 10
10 becomes your denominator, and 1 is the numerator
Since 1/10 = 0.1*10 = 1
Observe the two stars below. How are they different?
a red dwarf star that is small in size and very dim.a yellow dwarf that is medium in size and dim.
The red dwarf is larger than the yellow dwarf.
The red dwarf is dimmer than the yellow dwarf.
The red dwarf is brighter than the yellow dwarf.
The red dwarf is made of more gas than the yellow dwarf.
Answers
Answer:
b The red dwarf is dimmer than yellow dwarf
Answer:
A red dwarf is a small, cool, very faint, main sequence star whose surface temperature is under about 4,000 K. Red dwarfs are the most common type of star.
Step-by-step explanation:
The sum of two numbers is 26. The first number is two more than 5 times the second number. What are
the two numbers? Define your variables. Write two equations and then solve. Be sure to write your
answer in a complete sentence!
Answers
Answer:
Let us assume the two numbers be x and y
From the above condition we can write, x + y = 26 equation 1
second condition first no x = 2 more 5 times of the second no. that is 5y + 2
then we can write, x = 5y + 2..... eqation (2)
from equation 1 x + y = 26
subtracting y from each side , x+ y - y = 26 - y
x = 26 - y
plugging this value of x in eqn. no (2 ) we get,
26-y = 5y + 2
subtracting 5y on both sides,
26 - y - 5y = 5y - 5y + 2
26 - 6y = 2
subtracting 26 from both sides,
26 -26 -6y = 2- 26
-6y = -24
eliminating minus sign from both sides,
6y = 24
dividing by 6 on both sides,
y = 24/6 = 4
substituting this value of y in equation 1 we get,
x + 4 = 26
subtracting 4 from both sides,
x = 26- 4 = 22
Step-by-step explanation:
so we solve the 2 eqns we get x = 22 and y = 4
the two numbers will be 22 and 4
56 divide(4 + 3) – 10 =
Answers
Answer: search it up bro
its easy
Step-by-step explanation:
Step 3: Multiply by the scalar (1 over the determinant): Aâ’1 = a11 a12 a21 a22 a11 = a12 = a21 = a22 =
Answers
Answer:
a11 = 1
a12 = -1
a21 = -1.5
a13 = 2
Janice has these times recorded on her time sheet for the week.
How many hours did she work?
47 hours
44 hours
37 hours
34 hours
Time in Time out
7:05 2:58
7:30 5:01
8:01 4:32
7:22 4:46
6:55 3:31
Answers
9 hrs 31 min
8 hrs 31 min
9 hrs 24 min
8 hrs 36 min
43 hrs and 55 min… so I guess 44 hrs is your answer(?)
The number of hours Janice worked in a week is 44 hours.
Given that, Janice has recorded on her time sheet for the week.
What is a clock?A clock or a timepiece is a device used to measure and indicate time. The clock is one of the oldest human inventions, meeting the need to measure intervals of time shorter than the natural units such as the day, the lunar month and the year.
Now,
Time in Time out
7:05 2:58
7:30 5:01
8:01 4:32
7:22 4:46
6:55 3:31
Between 7:05 and 2:58 the number of hours is 7 hours 53 minutes
Between 7:30 and 5:01 the number of hours is 9 hours 31 minutes
Between 8:01 and 4:32 the number of hours is 8 hours 31 minutes
Between 7:22 and 4:46 the number of hours is 9 hours 24 minutes
Between 6:55 and 3:31 the number of hours is 8 hours 36 minutes
Now, (7+9+8+8+8)+(53+31+31+24+36)
= 40 hours + 175 minutes
= 40 hours + 2 hours 55 minutes
= 43 hours 55 minutes
= 44 hours
Therefore, the number of hours Janice worked in a week is 44 hours.
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please help me with this
Answers
Answer:
The answer will be “B”
Step-by-step explanation:
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