15.
.
X
Income Earned
Which statement below accurately represents the graph?
Click on the picture to enlarge
Dollars Earned
900
BOO
700
600
500
400
300
200
100
0 1 2 3 4 5 6 7 8 9
Hours Worked
a) $100 is earned for each hour worked
b) $200 earned for every 2 hours workedis
the unit rate
+
c) $500 is earned for every 8 hours worked 0 d) $300 is earned after working 4 hours
Answers
Answer:
C.
Step-by-step explanation:
❌Option A is incorrect
Rationale: from the graph, 1 hr on the x-axis doesn't correspond to $100 on the y-axis
❌Option B is incorrect
Rationale: from the graph, 2 hrs on the x-axis doesn't correspond to $200 on the y-axis. It can't also be the unit rate because unit rate would be the amount of dollars per 1 hr.
✅Option C is CORRECT
Rationale: from the graph, 8 hrs on the x-axis corresponds to $500 on the y-axis
❌Option D is incorrect
Rationale: from the graph, 4 hr on the x-axis doesn't correspond to $300 on the y-axis
Related Questions
angle psr measures 99 degrees what is the measure of psq in degrees
Answers
Answer 45 degree
Explanation
See the image for detailed steps
PLEASE HELP ASAP
Write the equation that represents the trigonometric graph
Answers
Answer(s):
[tex]\displaystyle y = 300sin\:(\frac{\pi}{8}x + \frac{\pi}{2}) + 400 \\ y = 300cos\:\frac{\pi}{8}x + 400[/tex]
Step-by-step explanation:
[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 400 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-4} \hookrightarrow \frac{-\frac{\pi}{2}}{\frac{\pi}{8}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{16} \hookrightarrow \frac{2}{\frac{\pi}{8}}\pi \\ Amplitude \hookrightarrow 300[/tex]
OR
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 400 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{16} \hookrightarrow \frac{2}{\frac{\pi}{8}}\pi \\ Amplitude \hookrightarrow 300[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 300sin\:\frac{\pi}{8}x + 400,[/tex]in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle 4\:units[/tex]to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle 4\:units,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-4} = \frac{-\frac{\pi}{2}}{\frac{\pi}{8}}.[/tex]So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 300sin\:(\frac{\pi}{8}x + \frac{\pi}{2}) + 400.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [36, 400],[/tex]from there to [tex]\displaystyle [20, 400],[/tex]they are obviously [tex]\displaystyle 16\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 16.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 400,[/tex]in which each crest is extended three hundred units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
Complete the table of function values.
f(x) = −4x + 3
x
f(x)
−1
0
1
2
Answers
Answer:
the answer will be - 9
Step-by-step explanation:
because 4plus 3 is 7 and minus one is 6 and then plus one is 7 and then plus the 2 and the ans will be x = -9
PLZ Help. I have tried so many ways. I will give Brainiest! 30 points for the correct answer! Help!
Answers
Answer:
1=(w=6,C=20.80
2=(W=2,C=27.05)
3=(w=11,C=14.25)
4=(w=15,C=11.05)
Step-by-step explanation:
Just do the work
0.55x15=8.25+2.80=11.05
1.10x6=6.6+14.20=20.8
11x0.65=7.15+7.10=14.25
Out of process of elimination, 2=(W=2,C=27.05)
Answer:
Below.
Step-by-step explanation:
The second option on the bottom matches the first of the top list.
This is how we check:
w = 6 and C = 20 .80
Plug these into the top equation:
C = 14.2 + 1.10w
20.80 = 14.2 + 6(1.10) = 14.20 + 6.60 = 20.80.
So that proves that we have the right answer.
The last one on the bottom matches the second on the top list.
The third option ion the bottom matches the third equation on the top
.
The first one on bottom matches the last one the top.
The last 3 are answered in exactly the same way as the first.
Consider the following sets of sample data: A: 20,347, 20,327, 22,117, 21,762, 20,864, 20,102, 21,684, 20,063, 21,728, 21,580, 21,720, 20,920, 21,442, 20,766 B: 3.38, 4.64, 4.09, 3.93, 4.25, 4.63, 4.78, 4.25 Which of the above sets of sample data has the larger spread
Answers
Answer:
Data B
Step-by-step explanation:
Given the data :
A: 20347, 20327, 22117, 21762, 20864, 20102, 21684, 20063, 21728, 21580, 21720, 20920, 21442, 20766
B: 3.38, 4.64, 4.09, 3.93, 4.25, 4.63, 4.78, 4.25
The spread of a data gives the variation in the data values of a given sample.
To obtain which data has the larger spread, we obtain the coefficient of variation. Which is the ratio of the standard deviation and the mean of the dataset.
(Standard deviation / mean) * 100%
Using calculator :
Data A :
Mean, x = 21101.5714
Standard deviation, s = 700.28925
Coefficient of Variation :
(700.28925 / 21101.5714) * 100% = 3.32%
Data B :
Mean, x = 4.24375
Standard deviation, s = 0.457006955
Coefficient of Variation :
(0.457006955 / 4.24375) * 100% = 10.77%
10.77% > 3.32%
Hence. Data B has a larger spread
Sara bought a 24-ounce can of tomato sauce for $8.40. What is the unit price per ounce?
Answers
Answer:
$0.35
Step-by-step explanation:
8.40/24 = $0.35
A car rental company charges an initial fee plus a constant fee per kilometer driven.
The table compares the total distance driven on the trip (in kilometers) and the price of the rental (in dollars).
Distance (kilometers) Price (dollars)
105 183
140 204
175 225
What is the company's initial fee?
Answers
Answer:
$120
Step-by-step explanation:
constant fee = (204-183) /(140-105)
= 21/35 = $0.6 per km
so, initial fee =
183 - (105 × 0.6)
= 183 - 63
= 120
Answer:
120
Step-by-step explanation:
trust me.
What is the value of (–7 + 3i) – (2 – 6i)?
–9 + 9i
–9 – 3i
–5 – 3i
–5 + 9i
Answers
Answer:
- 9 + 9i
Step-by-step explanation:
(- 7 + 3i) - (2 - 6i)
- 7 + 3i - 2 + 6i
- 7 - 2 + 9i
- 9 + 9i
-9+9i
y
.
4
3
2
1-
2
-4
-3
-2
-1
1
2
3
4
-1
-2
-3
-4
What is the slope of the line?
Answers
Answer:
-1
Step-by-step explanation:
Slope is rise over run
graph us going up by 2 units and going to left by 2 units
[tex]\frac{2}{ - 2} \\ - 1[/tex]
120+12314543-900-90+12
Answers
Answer:
12313685 is the answer............happy to help u
to help
PLEASE HELP!!!
WILL MARK BRAINLIEST!!!!
In the triangle shown, solve for X to the nearest degree.
Multiple choice!
Thank you!
Answers
Answer:
x=42°
Step-by-step explanation:
take x degree as reference angle
using tan rule
tan x=opposite/adjacent
tan x=9/10
tan x=0.9
x=[tex]tan^{-1}[/tex]0.9
x=41.98
x=42 degree
Answer:
41.987° which rounds to 42 degrees
Step-by-step explanation:
determine the missing angle.
Answers
Answer:
the missing angle will be 140°
Answer: 140
Step-by-step explanation:
plzz help ill mark u brainliest
A. Angle 4 is congruent to.
b. Angle 5 is congruent to.
c. The sum of angles 1,4 and 5 equals.
d. Therefore the sum of angles of 1, 2, and 3 equals
Answers
Answer:
a. angle 4 is congruent to angles 1, 2, 3, 5
b angle 5 is congruent to angles 1, 2, 3, 4
c. the sum of angles 1, 4, and 5 is 180°
d. The sum of angles 1, 2, and 3 is 180 °
Step-by-step explanation:
a. all angles are the same measurement
b. all angles are the same measurement, you know this by measuring
c. they are on a striaght 180 degree line
d. the sum of a triangles angles are always 180 degrees
The roots of the equation x2 + 2x + 5 = 0 are
Answers
If a decagon is a regular decagon, then what is the measure of each interior angle?
a. 150°
b. 162°
c. 144°
d. 240°
Answers
Answer: the answer is 144 i kinda had the answer already
Step-by-step explanation:
Answer:
c. 144
Step-by-step explanation:
In a regular polygon, each interior angle has the same measure. There is a formula to find the angle given the number of sides. We are looking at a decagon, which has ten sides, so we would plug the value 10 into the following formula:
[tex]\frac{180(n-2)}{n}\\\frac{180(10-2)}{10} \\\frac{180*8}{10} \\18*8\\144[/tex]
This is option c.
Triple the sum of two and a number.
Answers
Answer: 3(2+x) or 3x+6
Step-by-step explanation:
Take this a step at a time
First is a sum of two and a number
set "a number" as x
sum of two and a number would be 2+x
triple it
3(2+x) or 3x+6
Answer:
3(x+2)
Step-by-step explanation:
Explanation:
The " sum of a number and 2
" means ADD them:
→ x+2
Triple that means multiply by
3
→ 3(x+2)
ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°.
AB =
cm
Answers
Answer:
48 ANS.
MAY IT HELPED U
Decide whether the equation describes a function.
y = - 4x-1
Does the equation describe a function?
Yes
Νο.
Answers
Answer:
[tex]{ \tt{yes \: it \: describes \: a \: functional \: equation \: of \: a \: line}}[/tex]
STEM:
If you can rewrite a quadratic equation as a product of factors that equals zero, you
can solve the equation. To solve equations in this manner, you must use all your
factoring skills.
Example:
What are the solutions of the equation x2– x = 20?
First rewrite the equation so that one side equals zero.
x2– x = 20
x2 – x – 20 = 20 – 20
x2 – x – 20 = 0
Subtract 20 from each side.
Simplify.
Now, factor to rewrite the equation as a product of factors equal to zero. Find two
integers whose product is –20 and whose sum is –1. The product of 4 and –5 is
–20, and the sum of 4 and –5 is –1.
x + 4 = 0
x + 4 – 4 = 0 – 4
x = –4
x2 – x – 20 = 0
(x + 4)(x – 5) = 0
or
or
or
x – 5 = 0
x – 5 +5 = 0 +5
x = 5
The solutions are –4 and 5.
These "solutions" tell us where our quadratic function passess through the x-axis (ie this tells us the "roots" aka "x -intercepts" aka "zeros" aka "solutions" aka "zeros" are)
Question:
In the graph provided in the example, what do the coordinates (-4,0) and (5,0) represent?
A
The y- intercept of the function (ie where the function passes through the y-axis)
B
The x-intercept of the function (ie where the function passes through the x-axis)
C
The vertex of the function
D
none of the above
E
the zeros of the quadratic function
F
the roots of the quadratic function
Answers
9514 1404 393
Answer:
A, E, F
Step-by-step explanation:
Every point on the graph has coordinates (x, f(x)). This means a point such as (-4, 0) or (5, 0) is a point on the x-axis where f(x) = 0. It is all of ...
an x-intercepta root of the functiona zero of the functionThese terms are used essentially interchangeably.
if 2 newspapers cost 3 dollars how much does 1 newspaper cost
Answers
Answer:
x = 1.50
Step-by-step explanation:
We can use a ratio to solve
2 papers 1 paper
------------- = --------------
3 dollars x dollars
Using cross products
2x = 3*1
2x=3
Divide by 2
2x/2 = 3/2
x = 1.50
Answer:
$1.50
Step-by-step explanation:
example;
2/3=1.50
Have a great day <3
Which expression is equivalent to the algebraic expression below -4(3x-5
Answers
Answer:
-12x+20.
Step-by-step explanation:
I got it by multiplying the bracketed numbers by the -4.
The sides of two cubes are in the ratio 2:5, what is the ratio of their volumes?
Answers
9514 1404 393
Answer:
8 : 125
Step-by-step explanation:
The volume is proportional to the cube of the side lengths. Hence, the ratio of volumes is proportional to the cube of the ratio of side lengths.
v1 : v2 = (2 : 5)^3 = 2^3 : 5^3 = 8 : 125
Find the area of the triangle.
18 in.
25 in.
Answers
Answer: i hope you pass that quiz
Step-by-step explanation:
450 / 2 = 225
The answer is 225in squared
The formula for a right angled triangle is
area = base x height / 2
someone help me on this plzzz!!
Answers
Answer:
y = (3/2)x + 2
Step-by-step explanation:
The equation of a straight line is given by:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept (value of y when x is 0).
From the graph, we can see that the y intercept is 2 units. Also, the line passes through point (2, 5) and (-2, -1). Therefore the slope of the line is:
[tex]slope(m)=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-5}{-2-2}=\frac{3}{2}[/tex]
Using the equation a straight line:
y = mx + b; substituting gives:
y = (3/2)x + 2
Plz help I’m suck on this question!!!!!!
Answers
Answer:
U = 1
V = -5
Step-by-step explanation:
U = -1 - (-2) = 1
V = -4 -1 = -5
V: -5
Explanation: Take the a & b values of that row and subtract them
Which figures always have right angles?
parallelogram
square
rectangle
trapezoid
Answers
9514 1404 393
Answer:
squarerectangleStep-by-step explanation:
A rectangle is a parallelogram that has right angles. A square is a rectangle that has adjacent sides the same length.
The figures that always have right angles are ...
square
rectangle
Find the solution to the equations.
2х-у=-3
х+у=0
0,0
-1,1
1,-1
Answers
Answer:
Option B : ( - 1 , 1 ) ==> x = -1 , y = 1
Step-by-step explanation:
2x - y = - 3 -------- ( 1 )
x + y = 0 => x = - y -------( 2 )
Substitute ( 2 ) in ( 1 ) : 2x - y = - 3
2( - y ) - y = - 3
- 2y - y = - 3
- 3y = - 3
y = 1
Substitute y in ( 2) : x + y = 0
x + 1 = 0
x = - 1
If 3w +6=21 find the value of w
Answers
Answer:
[tex]3w + 6 = 21 \\ 3w = 15 \\ w = 5[/tex]
Hey there!
[tex]\mathsf{3w + 6 = 21}[/tex]
SUBTRACT 6 to BOTH SIDES[tex]\mathsf{3w + 6 - 6 = 21 - 6}[/tex]
CANCEL out: 6 - 6 because that gives you 0 KEEP: 21 - 6 because it helps you solve for w[tex]\mathsf{21 - 6 = \boxed{\bf 15}}[/tex]
NEW EQUATION: [tex]\mathsf{3w = 15}[/tex]DIVIDE 3 to BOTH SIDES[tex]\mathsf{\dfrac{3w}{3}=\dfrac{15}{3}}[/tex]
CANCEL out: [tex]\mathsf{\dfrac{3}{3}}[/tex] because that gives you 1KEEP: [tex]\mathsf{\dfrac{15}{3}}[/tex] because that gives you the value of wNEW EQUATION: [tex]\mathsf{\dfrac{15}{3}=w}[/tex][tex]\mathsf{\dfrac{15}{3}=\boxed{\bf 5}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Therefore, your answer: \huge \bf w = 5}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
I WILL MARK BRAINLIEST!
Two identical rubber balls are dropped from different heights. Ball 1 is dropped from
a height of 110 feet, and ball 2 is dropped from a height of 276 feet. Use the
function f(t) -16t2 + h to determine the current height, f(t), of a ball dropped from a
height h, over given time t.
Write a function for the height of ball 1.
hi(t)
Answers
9514 1404 393
Answer:
h₁(t) = -16t² +110
Step-by-step explanation:
Put the given initial height into the given formula. That will give the requested function. If the function name is supposed to be h₁(t), then rename it.
f(t) = -16t² +110 . . . . . . h = 110, the initial height
h₁(t) = -16t² +110
3. 72 in. ___ = ft help
Answers
Answer:
6 feet
Step-by-step explanation:
Answer:
72in is 6 feet
Step-by-step explanation:
