The domain of the function for one week of work is all values of x that are less than or equal to 50.
The domain of a function represents the set of all possible input values for that function. In this situation, the function represents the daily cost of hiring a plumber for x hours of work, and the maximum number of hours the plumber works per week is 50. Therefore, for one week of work, the domain of the function is the set of all values of x that are less than or equal to 50.
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A. Green Grapes
B. Red Grapes
C. Red and Green Grapes cost the same
An entertainment firm offers several DJ choices and light shows that range in price based on the rental time period.
The DJ's cost between $219.00 and $369.00 per night and the light shows cost between $159.00 and $309.00 per night.
If you are booking both a DJ and a light show, write a compound inequality that represents the possible total amount you would pay, x.
MUST SHOW VALID WORK :)
Answer:
378 ≤ x ≤ 678
Step-by-step explanation:
If you're looking to book both a DJ and a light show we have to take into account the minimum that you'll pay up to the maximum cost "x". This can be done by adding the lowest cost for both meaning:
$219 + $159 = $378
And the most you'll pay:
$369 + $309 = $678
So you can say that the amount you'll pay is in between $378 and $678. Mathematically speaking you can also say that you'll pay more than or equal to $378 and less than or equal to $678. The previous statement can be written mathematically as a compound inequality as such:
[tex]378\leq x\leq 678[/tex]
Question 11(Multiple Choice Worth 5 points) Perform the requested operation or operations. f(x) = 4x + 6, g(x) = 5x2 Find (f + g)(x).
Answer:
(f + g)(x) = 5x^2 + 4x + 6
Step-by-step explanation:
The given functions are f(x) = 4x + 6 and g(x) = 5x^2
(f + g)(x) = f(x) + g(x)
= 4x + 6 + 5x^2
= 5x^2 + 4x + 6
Thank you.
The union of sets P = {1, 2, 3, 4, 5, 6} Q = {4, 5, 6, 7, 8, 9} is given by which of the following?
{1, 2, 3, 4, 5, 6, 7, 8, 9}
{1, 2, 3, 4, 4, 5, 5, 6, 6, 7, 8, 9}
ø
{4, 5, 6}
Answer:
The first one, because the x values are not repeated in a data set.
What is the length of GH? ______cm
What are the coordinates of the midpoint of the segment whose endpoints are A (-1, -2) and B (6, 12)
x-coordinate:
y-coordinate:
Answer:
Mid point = [tex](\frac{5}{2} ,5)[/tex]
Step-by-step explanation:
We are given the coordinates of the end points of a line segment AB and we are to find the coordinates of its mid point.
The coordinates of the end points are: A (-1, -2) and B (6, 12).
We know the formula of the mid point:
Mid point = [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
So putting in the given values to find the mid point of line segment AB:
Mid point = [tex](\frac{-1+6}{2} ,\frac{-2+12}{2} )[/tex] = [tex](\frac{5}{2} ,5)[/tex]
Elaine has a $350 gift card to Target. Elaine spent $334.50 on a sound bar at Target. If the sales tax is 8%, what was her final bill? Does she have enough money on the gift card to pay for the sound bar?
Answer:
1) Her final bill: 334,5+ the tax
the tax = 334,5*8/100= 26,76 $
Her final bill = 334,5+ 26,76= 361,26 $
2) The gift card only has 350$ and the bill is 361,26
therefore she doesn't have enough money to pay for the sound bar
Step-by-step explanation:
What is the measure of Angle 1 and 2? Enter your answer as a number.
The measure of angles can be in degrees, minutes of arc, and seconds of arc, with the example given (9:00 a.m. clock hands) resulting in a 90-degree angle.
Explanation:The measure of angles is often given in degrees, minutes of arc, and seconds of arc.
These units subdivide a degree into finer measurements, where one degree equals 60 minutes and one minute equals 60 seconds.
One example of using these measurements is in Astronomy, where astronomers measure the angular separation of stars in the sky.
Angles are crucial to understanding the positions and movements of celestial bodies.
Returning to the practice problem provided: 'What is the angle in degrees between the hour hand and the minute hand of a clock showing 9:00 a.m.?', we can calculate this using the understanding that each hour on the clock represents 30 degrees (360 degrees / 12 hours).
At 9:00 a.m., the hour hand is on the 9 and the minute hand is on the 12, creating a 90-degree angle between them.
Xavier downloaded 40 songs last week, including 14 jazz songs. What percent of Xavier's downloads were jazz songs
About 35% of the songs Xavier downloaded were jazz songs. This was calculated by dividing the number of jazz songs (14) by the total number of songs (40) and then multiplying the result by 100.
Explanation:Xavier downloaded a total of 40 songs. Out of these, 14 were jazz songs. To find the percentage of jazz songs out of the total, we need to divide the number of jazz songs by the total number of songs and then multiply the result by 100.
So, the calculation would be (14/40) * 100. When we do the math, we find that about 35% of Xavier's downloads were jazz songs.
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A couch weighs approximately 100 pounds. If 40,000 couches are sent to furniture stores, what is the total weight in pounds of the couches?
A) 400,000
B) 4,000,000
C) 40,000,000
D) 400,000,000
23)
Which property explains how we get the equation shown in step 2?
Given: -5(x -4) - 20 = -15
Step 1: -5x + 20 -20 = -15 (Distributive)
Step 2: -5x = -15 (__________________)
Step 3: x = 3 (Multiplicative Inverse)
A) Associative
B) Commutative
C) Additive Inverse
D) Multiplicative Identity
24)
Simplify.
7x + 3(x - 2) - 4x + 8
A) 6x + 2
B) 6x + 14
C) 6x - 2
D) 14x + 2
25)
According to the distributive property, a(5 + b) =
A) 5a + b
B) 5a + ab
C) a(b + 5)
D) 5(a + b)
Answer:
Step-by-step explanation:
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This table shows input and output values for a linear function f(x).
What is the difference of outputs for any two inputs that are one value apart?
x f(x)
---------------------
-3 -57.6
----------------------
-2 -36.4
----------------------
-1 -15.2
----------------------
0 6
----------------------
1 27.2
----------------------
2 48.4
A) -5
B) 1
C) 21.2
D) 27.2
Answer:
C
Step-by-step explanation:
This question asks us to find the difference in output or y values or consecutive x-values (values 1 unit away from each other). This is just a rate of change or slope. We will use the slope formula:
Slope:[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We substitute [tex]x_1=-3\\y_1=-57.6[/tex] and [tex]x_2=-2\\y_2=-36.4[/tex]
[tex]m=\frac{-36.4-(-57.6)}{-2-(-3)}[/tex]
[tex]m=\frac{-36.4+57.6}{-2+3}=\frac{21.2}{1} =21.2[/tex]
Answer C.
2,008 kilograms of potatoes were packed into sacks weighing 8 kilograms each how many sacks were packed
Answer:
251
Step-by-step explanation:
2008/8
Answer:
16064
Step-by-step explanation:
2,008 x 8= 16064
Help with these questions please!
Answer:
1. 16
2. -4
Step-by-step explanation:
First factor the expression
lim x→1 (x^3 + 5x^2 + 3x-9)/(x-1)
lim x→1 (x-1) (x+3)^2/(x-1)
Canceling the x-1 in the top and bottom
lim x→1 (x+3)^2
Let x=1
lim x→1 (1+3)^2 = 4^2 = 16
2. lim x→0 (x^2 -6x+8) /(x-2)
First factor the expression
lim x→0 (x-4) (x-2) /(x-2)
Canceling the x-2 in the top and bottom
lim x→0 (x-4)
Let x=0
lim x→0 (0-4) = -4
Filling in the table
x -.1 -.01 -.001 .001 .01 .1
f(x) -4.1 -4.01 -4.001 -3.999 -3.99 -3.9
I know this isn't helpful, but I REALLY need help on this question...
Given: f(x) = x^2 + 7x + 10. From the Rational Root Theorem, we know p=10 and q=1. List all potential roots using the ratio p/q.
What is the value of Y who knows please help me
Answer:
y =65
Step-by-step explanation:
We will call the unknown angle in the triangle x
Angle x plus 130 form a straight line
x+130 = 180
Subtract 130 from each side
x+130-130 = 180-130
x = 50
The three angles in the triangle add together to make 180 degrees
x+y+y = 180
We know angle x = 50
50 + 2y = 180
Subtract 50 from each side
50+2y-50 = 180-50
2y = 130
Divide each side by 2
2y/2 = 130/2
y = 65
use the given information to prove that BC=DE
2. CD = CD , Reflexive Prop.
3. BC = DE, Subtraction Prop.
PLZZZZZZZZZZZZZZZZZZZZZ ANSWER IF ANSWERED YOU GET 98 POINTS HURRY!!!!!!!!!!!!!!!!!!
Answer:
y = 3x + C
y = mx + 5
y = 3x + 5
Step-by-step explanation:
A. The standard form for lines with slope = 3 is
y = 3x + C where C is the y-intercept and can be any number
B. The standard form for lines with y-intercept = 5
y = mx + 5 where m is the slope and can be any number
C. The only line with slope = 3 and y-intercept =5
y = 3x + 5
There is only one line because both m and C are given.
Answer:
Step-by-step explanation:
a is y=3x+c; c is the y-intercept
b is y=mx+5; m is the slope
c is y=3x+5 as it is the only line with both slope = 3 and y-intercept =5
A student jog the same number of laps each week.9 students jogged 63 laps.How many laps will 13 students jog
20 POINT'S!!!!!!!!!
HELP!!!
Well, the base and height would still be applicable (essentially, base is just width and height is just, uh, height,)
So basically the area of one triangle is 0.5(7*6), which is 21
The area of one triangle is option c., 21.
Answer:
The answer is B or 21
Step-by-step explanation:
I took the assignment
Rewrite the expression without using grouping symbols.
12(x – 17)
Question 1 options:
12x – 29
12 + 12 • 17
12x – 17
12x – 12 • 17
Answer:
12x -12*17
Step-by-step explanation:
12(x – 17)
We can distribute the 12 to both terms inside the parentheses
12*x - 12*17
12x -12*17
a sample of 144 was taken from a population with a standard deviation of 36 inches. In this case the sample mean will be within how many inches of the population mean 99.7% of thew time?
Answer:
9 inches
Step-by-step explanation:
The population is within 6 standard deviations of the mean with a confidence of 99.7 percent, 3 above and 3 below
The standard deviation of the sample mean is equal to the population standard deviation divided by the square root of the sample size
population standard deviation = 36
sample size = 144
standard deviation of the sample mean = 36/ sqrt(144)
=36/12
=3
The margin of error is the number of standard deviations above the mean * the standard deviations
margin of error = 3 * 3
= 9 inches
Answer:
sonk
Step-by-step explanation:
honey p
Please help ASAP!!!
triangle a'b'c' is a dilation of triangle abc. which is the correct description of the dilation?
Answer: A
Step-by-step explanation:
[tex]\overline{AB}[/tex] has a length of 6
[tex]\overline{A'B'}[/tex] has a length of 6 + 12 = 18, which is 3 times the length of [tex]\overline{AB}[/tex]
B = B' so this will be the center point
⇒ center B and a scale factor of 3
Answer:
Option A is the answer.
Step-by-step explanation:
Triangle A'B'C' is a dilation of triangle ABC.
We can apply the formula to get the scale factor as
Scale factor = [tex]\frac{\text{One side of triangle A'B'C'}}{\text{Corresponding side of triangle ABC}}[/tex]
= [tex]\frac{A'B'}{AB}[/tex]
= [tex]\frac{AB'+AA'}{AB}[/tex]
= [tex]\frac{6+12}{6}[/tex]
= [tex]\frac{18}{6}[/tex]
= 3
Therefore, ΔABC has been dilated with a scale factor of 3 about the point B as the center.
Option A is the answer.
Solve the inequality and enter your solution as an inequality comparing the variable to the solution in the box below. 18 + x > 42Solve the inequality and enter your solution as an inequality comparing the variable to the solution in the box below. 18 + x > 42
Hi there! :)
Answer:
x>24
*The answer must have a positive sign and greater than symbol sign.*
Step-by-step explanation:
First, you switch sides.
[tex]x+18>42[/tex]
Then, you subtract by 18 from both sides of an equation.
[tex]x+18-18>42-18[/tex]
Finally, you subtract by the numbers from left to right.
[tex]42-18=24[/tex]
Final answer is x>24
I hope this helps you!
Have a nice day! :)
-Charlie
:D
given the height, h, and the volume V of a certain cylinder, alex uses the formula r=√v/πh to compute its radius, r, to be 10 meters. a second cylinder has the same volume as the first cylinder, but is 25 times taller. what is the radius of the second cylinder?
a). 2/5 meter
b). 2 meters
c). 50 meters
d). 250 meters
A six sided number cube is rolled 12 times. An even number is rolled 7 times. What is the experimental probability that an even number is rolled?
Answer:
The experimental probability is 7/12 or 58.3%
Step-by-step explanation:
In order to find the experimental probability, we just look at the amount of times it happened in our test. The fact that the actual probability is 50% does not matter when looking at experimental numbers.
FInd the slope of a line
Answer:
First I'm not exactly sure what you're asking but the equation for slope is:
Y2-Y1/X2-X1=M
Step-by-step explanation:
M is your slope
X1 and Y1 represent your first point
X2 and Y2 represent your second point
To translate you are finding the rate of change (slope) between two points
Answer: Slope = ∆y/∆x = y2-y1/x2-x1
Step-by-step explanation:
The slope of a line which is also known as the gradient can be gotten by taking the ratio of the change in coordinate of y-axis to the x-axis of the line.
Change in y axis = y2-y1
Where y2 and y1 are final length and initial length respectively on the y axis
Change in x axis = x2-x1
Where x2 and x1 are final length and initial length respectively on the x axis.
The slope of the line therefore gives;
Slope = ∆y/∆x = y2-y1/x2-x1
Elvie can type 4,200 words in 30 minutes givr the ratio of the time in minutes to the number of words
Answer:
30:4,200
Step-by-step explanation:
A salesman earned $420. This is one-tenth of his sales dollars. How much did he same in dollars
Answer:
The salesman sold $4,200 in goods.
Step-by-step explanation:
You can get this figure by taking the amount he earned and dividing it by his commission fraction.
$420 ÷ 1/10 = $4,200
1. Identify and EXPLAIN the ERROR
2. Show CORRECT WORK
3. What STRATEGY did you use for solving this problem
This might be a trick question. I did the problem and got the exact same answer. I got 31 x + 0.5. If there's anything they did wrong maybe its because they didn't put a zero before 5 so 5 could become a decimal?
Perry has a total of 25 five dollar Bill's and 10 dollar Bill's in his pocket the value of these Bill's are 175.00$ how many ten dollar Bill's are in Perry's pocket
Answer: there are 10, 10 dollar bills in perry`s pocket
Step-by-step explanation:
Holly and her 2 brst friends go to dinner. Their total bill is 31.84. They use a coupon for 15% off the total. If they split the bill evenly, how much will each person owe, to the nearest tenth?