Question 1-3
The graph below shows a function that represents the weekly earnings, in dollars, for a company that makes x sets of headphones per week.
7,0001
6,000
5,000
4,000
Earnings (5)
3,000
2,000
1,000
0 1,000 2,000 3,000 4,000 5,000 6,000
Number of Headphones Made per Week
Based on this model, which statements are true? Choose ALL that are correct.
When producing 5,000 sets of headphones per week, the weekly earnings is $0.
If production is increased from 3,000 to 4,000 sets of headphones per week, then the weekly earnings will also increa
Producing 2,500 sets of headphones per week will give the maximum amount of weekly earnings.
The maximum possible earnings is about $6,250 per week.
If production is increased from 1,500 to 2,000 sets of headphones per week, then the weekly earnings will also increa
Answers
The production graph of the company is a quadratic graph
The true statements about the production graph are:
When producing 5,000 sets of headphones per week, the weekly earnings is $0.Producing 2,500 sets of headphones per week will give the maximum amount of weekly earnings.The maximum possible earnings is about $6,250 per week.If production is increased from 1,500 to 2,000 sets of headphones per week, then the weekly earnings will also increaseHow to interpret the model?To interpret the model, we simply evaluate the options one after the other
Producing 5000 sets weekly
From the graph, we have:
(x,y) = (5000,0)
This means that a weekly production of 5,000 sets of headphones give an earning of $0.
Hence, this option is true
Increased production from 3000 to 4000
From the graph, the function value decreases when x increases from 3000 to 4000.
This means that this option is false
Producing 2500 sets
The production of 2500 sets give a maximum earning of $6250
This means that options (c) and (d) are true
Increased production from 1500 to 2000
From the graph, the function value increases when x increases from 1500 to 2000.
This means that this option is true
Hence, the true statements are: (a), (c), (d) and (e)
Read more about quadratic graphs at:
https://brainly.com/question/7988424
Related Questions
Solve for x.
8.7 + X = 7
=
1.1
x = [?]
Answers
Answer:
-1.7
Step-by-step explanation:
8.7 + X =7
incorporate the shoes and socks method. We must do the opposite of what is being done. If we are adding X, we will subtract X on both sides leaving you with 8.7=7-x. We want X on one side of the equation so now we take the 8.7 and subtract on both sides giving 7-x-8.7. we must add X on both sides so we can have a X on one side thus X= 7-8.7. we can ordinary subtract and will give us -1.7.
X=-1.7
8.7+(-1.7) =7
find the value of x in the triangle shown below
Answers
Answer:
D
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of thesquares on the other two sides, that is
x² + 8² = 9²
x² + 64 = 81 ( subtract 64 from both sides )
x² = 17 ( take square root of both sides )
x = [tex]\sqrt{17}[/tex]
Answer:
√17 (Option D)⠀
Step-by-step explanation:
This is Right Angled Triangle.⠀
We'll solve this using the Pythagorean Theorem.
⠀
Let,
x be BC, where BC is the Perpendicular.8 be AB, where AB is the Base.9 be AC, where AC is the Hypotenuse.⠀
We know that,
[tex]{ \longrightarrow \pmb{\qquad \: (AB) {}^{2} +( BC) {}^{2} = (AC) {}^{2} }}[/tex]
[tex]{ \longrightarrow \sf \qquad \: (8) {}^{2} +( x) {}^{2} = (9) {}^{2} } [/tex]
[tex]{ \longrightarrow \sf \qquad \: ( x) {}^{2} = (9) {}^{2} - (8) {}^{2}} [/tex]
[tex]{ \longrightarrow \sf \qquad \: ( x) {}^{2} = 81 - 64} [/tex]
[tex]{ \longrightarrow \sf \qquad \: ( x) {}^{2} = 17} [/tex]
[tex]{ \longrightarrow \it \qquad \pmb {x = \sqrt{17 \: \: } } }[/tex]
⠀
Therefore,
The value of x is √17 .will give brainliest, pls help ASAP!
Answers
Step-by-step explanation:
2 × 10⁸ - 7 × 10⁷
= 200,000,000 - 70,000,000
=130,000,000
= 1.3 × 10⁸
Answer:
130 million
Step-by-step explanation:
200 million in N
70 million in F
200-70 = 130 million
Hope this helps have a great day
A teacher claims that his coffee cools to a temperature of 100 degrees Fahrenheit in 5 minutes after he brews it at home in his single-cup coffee brewer. To further investigate this claim, the teacher measures how long it takes for his coffee to cool to 100 degrees for each of the next 30 days. He would like to carry out a t-test for one mean to determine if there is convincing evidence that the true mean amount of time it takes for his coffee to cool to 100 degrees is less than 5 minutes. Are the conditions for inference met?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.
Answers
The answer is: No, the random condition is not met.
KM and NP are parallel lines. which angles are supplementary angles?
Answers
Supplementary angles = The angles add up to 180 degrees / form a straight line.
Angle KLO and angle KLJ form a straight line -> they are supplementary angles.
2. the lengths of 10 pencils, in centimeters: 18, 15, 4, 9, 14, 17, 16, 6, 8, 10 median: lower quartile: upper quartile:
Answers
Answer:
Lower Quartile: 7
Median: 12
Upper Quartile: 16.5
Step-by-step explanation:
First, to find anything you must reorganize the numbers according from smallest to biggest. In this case, it would be:
4, 6, 8, 9, 10, 14, 15, 16, 17, 18
Let's find the median first. The median is in the middle of the data set, and there are 10 numbers in this data set. We need to find the middle of two numbers to find the median, 10 and 14, which would be 12.
To find the lower quartile, you must look at the numbers below the median. Those would include 4, 6, 8, and 9. There is a even number of digits, meaning that we might find the middle of two numbers, 6 and 8, which is 7.
Then, the Upper Quartile which is the same process. Look at 15, 16, 17, and 18. It is a even number of digits so we need to find the middle of 16 and 17, which would equal 16.5.
Hope this helped!
i really need
help on this work it is really difficult help plsss
Answers
Answer: 105 square feet
Step-by-step explanation: The answer is 105 square feet because find the area of the pool by multiplying 12 and 20 to get 240. You then want to find the area of the total space. Add 3 to 12 and add 3 to 20. Then multiply 23 by 15 to get 345. You then want to subtract 345 - 240 to get rid of the extra space to get your answer of 105.
What is the measure of angle ADC in circle F?
Answers
Answer:
90°
Step-by-step explanation:
Triangle ACD has one vertex on the circle, and the other two at the opposite ends of a diameter. It is then a right triangle.
One way of thinking of it is the fact that angle AFC measures 180°, and all angles that have end points on the same arc (in our case, the part of arc AC on the bottom right part of the circle)and vertexes on the circle measure half of it, or 90°
Answer:
90
Step-by-step explanation:
since AC is a diameter and hypothenus of ADC
so triangle ADC is a right triangle
so angle ADC = 90°
QUESTION 1 1.1 Consider the quadratic sequence : 8; 18; 30; 44 ... 1.1.1 Write down the next two terms of the sequence. 1.1.2 Calculate the nih term of the sequence. 1.1.3 Which term of the sequence is equal to 330?
Answers
Answer:
Below in bold.
Step-by-step explanation:
8 18 30 44
the differences are 10 12 14 .etc
1.1.1 Next 2 terms are 44+ 16 = 60 and 60+ 18= 78.
1.1.2 8 = 1^2 + 7
18 = 2^2 + 14
30 = 3^2 + 21
44 = 4^2 + 38
So the nth term = n^2 + 7n.
1.1.3 n^2 + 7n = 330
n^2 + 7n - 330 = 0
(n + 22)(n - 15) = 0
n = -22, 15
As the term sequence must be positive the answer is 15.
Real Numbers: Mastery Test
Answers
Answer:
exuse me but i dont see the questions
Step-by-step explanation:
10. To calculate the area of a rectangle, you multiply the length by the width. If the
length of a rectangle is (2x + 1) and the width is (x - 1), what is the area of the
) -
rectangle?
A. 3x
B. 3x2 - 1
C. 2x2 - x - 1
D. X - 1
Answers
Answer:
Multiply those side lengths using the F.O.I.L method (first-outer-inner-last). Write it longhand then simplify if that’s what is needed.
(x+5)(x-5) = x^2 -5x + 5x -25
the -5x and + 5x cancel each other so it simplifies to x^2 - 25 units squared.
136<5(-2-4b)-6
-5(1-3x)-3>112
-4(3n+2)-6>-86
-120<4(6+3p)+6p
116<-3(1-5n)+2n
Answers
Answer:
x<
−97
45
Answer:
b<
−38
5
n>
−22
3
p>
16
3
n>7
What is the volume of the rectangular prism?
Answers
Answer:
63 yd³
Step-by-step explanation:
1 cube = ⅓ of a yard
B = 7 cubes
H = 9 cubes
D = 3 Cubes
Volume = BHD
Volume = 3 x 9 x 7
9 x 7 = 63
63 x 3 = 189
189 x ⅓ = 63.
The volume of Mikes rectangular lunch box is 240 cubic inches. The lunchbox is 3 inches deep and its length is 2 inches more then its width. What is the width of Mike's lunchbox
Answers
Answer:
8 inches
Step-by-step explanation:
You first divide 240 by 3 which is 80
Then you find what number is 2 less than the other number that is you multiplied together you get 80
And we know that 8 × 10 = 80
There for the :-
Width is 8 in
Length is 10 in
Hight is 3 in
The proof is if you multiply all of them you have to get 240
And if you multiply 8, 10, and 3 you get 240
pleaseeee check picture its about finding area of triangle.
Answers
Answer:
13.75 is your answer
Step-by-step explanation:
find area of whole triangle 5.5*7*1/2=19.25
Find area of blank spot 5.5*2*1/2=5.5
Subtract 19.25-5.5=13.75
A cylindrical-shaped container is 8 in. tall with a diameter of 6 in. How much water could this container hold?
A 24pie cubic inches
B 72pie cubic inches
C 216pie cubic inches
D 288pie cubic inches
Answers
Answer:
72pi cubic inches.
Step-by-step explanation:
area = pi r²
r = d / 2
r = 3
3² = 9
9pi x 8 = 72pi.
GIVING BRAINLIEST+30 POINTS TO BEST ANSWER!! REMEMBER, FOLLOW DIRECTIONS!!
Answers
Answer:
Step-by-step explanation:
First, you would multiply 3x4 =12
next you would keep the denominator the same
last you would divide 8 by 12 10 get 1 3/8 for your answer
What are the coordinates of the vertices of the image?
Rotate shape A 90° clockwise with centre of rotation (0,0).
Will mark brainliest
Answers
Step-by-step explanation:
(2,4)===(4,-2)
(4,3)===(3,-4)
(2,3)===(3,-2)
Distrubutive property
1. 54+27=9 (_+_)
Answers
Answer:
9(6+3) = 54+27
Step-by-step explanation:
dunno how to explain but hope the answer helps
Hey there!
54 + 27 = 81
9(6 + 3)
= 9(6) + 9(3)
= 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9
= 18 + 18 + 18 + 18 + 9
= 36 + 36 + 9
= 72 + 9
= 81
Thus, the equation answwr is: 81
Therefore, the overall answer is:
9(6 + 3)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
If you invest $1600 at 5.25% for 18 months, how much simple interest is earned?
A) $10,500
B) $1,260
C) $126
D) $1,512
Answers
Answer:
the correct answer is is b
Geoffrey measures the width of his bedroom to determine the largest size bed frame he can have. The wall he plans to place the bed frame against is 13.65 feet wide. He wants there to be 2.25 feet between the wall and the bed frame on each side. What is the maximum width bed frame, in inches, that Geoffrey can put in his bedroom?
Answers
Answer:109.8 inches
Step-by-step explanation:
Which equation represents a graph with a vertex of (−3,2)?
Answers
Answer:
y = 4x² + 24x + 38
Step-by-step explanation:
Which two expressions are equivalent to 8(6x + 9)
A. 8(6x) + 8(9)
B. 8(6x) + 9
C. 14x + 17
D. 48x + 17
E. 48x + 72
Answers
Explanation:
The distributive property allows us to go from the original expression to choice A. We multiply the outer term 8 by each term inside the parenthesis.
In general, the distributive property is a(b+c) = ab+ac. Example: 2(3+4) = 2(3)+2(4) = 6+8 = 14.
After simplifying the expression in choice A, it leads directly to choice E. This is because 8(6x) = 48x and 8(9) = 72.
Side note: A common mistake students do is to multiply the outer term by only one of the terms inside the parenthesis, while forgetting about the other term inside. Choice B shows this mistake. It's possible your teacher put choice B in there as a trap/trick answer.
Two angels are called complementary when their measures add to 90. Two angels are called supplementary when their measures add up to 180 degrees
Answers
Answer:
Supplementary angles are two angles whose sum is equal to 180∘. In other words when you add the measure of one angle in the pair with the other angle in the pair, they equal 180 degrees. These two angles are supplementary because together they form a straight line.Jun 5, 2017
Step-by-step explanation:
Luna~
Gabby is working on reducing traffic in her town. Last week, she tracked how many cars
drove down Main Street each hour. This box plot shows the results.
Cars per hour
20
60
100
140
180
120
1) What percent of the time did Main Street have 100 or more cars per hour?
Answers
The box plot represents the rate of cars in the Main Street per hour
25 percent of the time, the Main Street have 100 or more cars per hour
How to determine the proportion of the boxplot?From the box plot, we have the following parameter:
The upper quartile of the boxplot is 100
This means that:
Q3 = 100
The upper quartile is the 75% dataset
The actual percentage is then calculated as:
Actual = 100% - 75%
This gives
Actual = 25%
Hence, 25 percent of the time, the Main Street have 100 or more cars per hour
Read more about boxplots at:
https://brainly.com/question/14277132
A and B are two companies.
The table shows some information about the sales of each company and the number of workers for each
company in 2004 and in 2014
Work out the percentage increase in sales from 2004 to 2014 for company A
Answers
Answer:
Step-by-step explanation:
3x + y = 4 6x + 4y = 6 equivalent equation and solution
Answers
Answer:
x = 5/3 , y = -1
Step-by-step explanation:
Given:
[tex]\begin{bmatrix}3x+y=4\\ 6x+4y=6\end{bmatrix}[/tex]
Solve:
[tex]\mathrm{Substitute\:}x=\frac{4-y}{3}[/tex]
[tex]\begin{bmatrix}6\cdot \frac{4-y}{3}+4y=6\end{bmatrix}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\begin{bmatrix}2y+8=6\end{bmatrix}[/tex]
[tex]\mathrm{For\:}x=\frac{4-y}{3}[/tex]
[tex]\mathrm{Substitute\:}y=-1[/tex]
[tex]x=\frac{4-\left(-1\right)}{3}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=\frac{5}{3}[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=\frac{5}{3},\:y=-1[/tex]
3(5/3) + -1
5-1 = 4
True
6(5/3) + 4(-1)
10 -4 = 6
True
~lenvy~
4) What % of 60 is 12?
Answers
[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{ }{ \bf { \textcolor{orange}{ }{ \bf{ \textcolor{cyan}{mathematics }}}}}}}[/tex]
12×60%=
[tex] \bf \textcolor{green}{ \underbrace{7.2}}[/tex]
xLasersx✨Answer:
20%
Step-by-step explanation:
100% = 60
?% = 12
[tex]\frac{12}{60}=\frac{x}{100} < ==cross\ multiply \\\\60x=1200 < ==divide\ both\ sides\ by\ 60\\\\/60 /60\\\\x = 20\% < ==final\ answer[/tex]
Therefore, 20% of 60 = 12
Check your answer:
20/100 = 0.2
0.2 * 60 = 12
Hope this helps!
Question 4: there are 7 frosted donuts and 43 not frosted. what is the
ratio of frosted to total donuts?
a) 7 to 43
b) 50 to 7
c) 43 to 7
d) 7 to 50
Answers
Answer:
answer is a
Step-by-step explanation:
ur welcome
Please help find Find cosR!
Answers
Step-by-step explanation:
when we look at the triangle try to reposition it at least in your mind to make R to be the center of the circle. then RP (29) is the radius of the circle and the angle indication of the angle R in this circle.
then we see QP is the sine, and RQ is the cosine of the angle R. but don't forget : all are multiplied by the radius, because the pure sin and cos functions deliver the values for the standard circle with radius 1.
so,
QR = cos(R)×RP
21 = cos(R) × 29
cos(R) = 21/29
the fourth answer is correct.
Answer:
the answer is D I took the test