The rates of change of points earned by both players tell us that;
Player A gains more point than Player B does for each correct answer in this round.
We are told that x is the number of
number ofquestions answered correctly and y is the score.
Now, for player B;
For 1 correct answer, he got a score of 4
For 2 correct answers, he got a score of 5
For 3 correct answers, he got a score of 6
For 4 correct answers, he got a score of 7
This means that rate of change of Player B is;
3 points for every extra question answered correctly. .
Now, the formula for player A's points is;
y = 4x + 3
Rate of change of points here is gotten by finding the derivative. Thus;
dy/dx = 4
This means player A earns 4 points for every extra question answered correctly.
In conclusion, it mean that Player A gains more point than Player B does for each correct answer in this round.
Read more on slope intercept form of equation at; https://brainly.com/question/19249035
2. In a class 70 students, 44 like Bookkeeping, 36 like- Commerce, and 17 like both bookkeeping and commere How many student like both book keeping and commerce?
Answer:
17
Step-by-step explanation:
you said that in the problem lol
Answer:
17 like both bookkeeping and commerce
Step-by-step explanation:
The problem statement itself tells you ...
"17 like both bookkeeping and commerce"
A parabola can be drawn given a focus of (4,6) and a directrix of y = 2. What can be
said about the parabola?
Answer:
A.
Step-by-step explanation:
I need help solving this problem
Which of the following rational functions is graphed below
Answer:
C
Step-by-step explanation:
Ti-83 graph proves it.
A restaurant tablecloth is 98 inches across. What is the approximate circumference?
The circumference of a circle with diameter of 98 in. is about 308 in.
Step-by-step explanation:We know the diameter. Using the diameter, we can find the circumference.
=> Diameter = 98 in.=> Radius = 98/2=> Radius = 49 in.Circumference = 2πr
=> 2 x 22/7 x 49=> 2 x 22 x 7=> 308 in.Conclusion:Therefore, the circumference of a circle with diameter of 98 in. is about 308 in.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
If the mean of five values is 8.2 and four of the valuesare 6, 10, 7, and12, find the fifth value.
Answer:
6
Step-by-step explanation:
→ Do the 8.2 × 5
41
→ Minus the answer from the sum of the values
41 - ( 6 + 10 + 7 + 12 ) = 6
Draw the plot
Can someone plz help me with this
well, let's take a peek, hmmm the length is hmmm, how much is five times "x"? well 5 * x or just 5x, how about four more than that? well, just 5x + 4.
we know the width is hmmm how much is three times "x"? 3*x or just 3x, how about 2 less than that? 3x - 2.
Check the picture below.
Answer:
↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑^
Please confirm my answer to be correct
Answer:
Actually, Corresponding angles are congruent.
Step-by-step explanation:
They are only supplementary in the special case where they are both 90°
Answer:
Option D
Step-by-step explanation:
Since we know that measure of corresponding angles are equal. So, corresponding angle are congruent to each other
My daughter is having a hard time trying to figure this problem.
Hey there! :-)
First, let's find the slope of the line.
We can do that by using this formula:
Slope=Rise/Run
Where
Rise=how many units we move up
Run=how many units we move left or right.
We move 5 units up and 8 units to the right.
Therefore, the slope is 5/8.
The y-intercept (where the line touches the graph) is -9/8.=
Therefore, the equation of the line is y=5/8x-9/8.
Hope this helps you daughter. Use the comment section to clarify any doubts.
Answered by
~A felicitous teen who helps others with a smile on her face
Good luck.
Answer:
a - y=5/8x - 9/8
Step-by-step explanation:
firstly, work out the gradient between those two coordinates
[tex]gradient = \frac{change \: in \: y}{change \: in \: x} [/tex]
[tex]gradient \: = \frac{ - 3 - 2}{ - 3 - 5} = \frac{ - 5}{ - 8} = \frac{5}{8} [/tex]
now, use formula y=mx+c where y is the y coordinate, m is the gradient, x is the x coordinate and c is the y intercept
use any of the two coordinates in the graph. I'll use (5,2)
[tex]y = mx + c[/tex]
[tex]2 = \frac{5}{8} (5) + c[/tex]
[tex]2 = \frac{25}{8} + c[/tex]
[tex]therefore \: c \: is \: - \frac{9}{8} from \: doing \: 2 - \frac{25}{8} [/tex]
now we have the gradient and y intercept
so the equation is
[tex]y = \frac{5}{8} x - \frac{9}{8} [/tex]
A pair of shoes are on sale for 60% off. The shoes cost $110 before the sale. How much money will you save after the sale?
answer: 60 × 100 = 600
Step-by-step explanation:
Answer:
$66
Step-by-step explanation:
Money saved after sale= 60% of $110
= 60/100 ×$110
= $66
the distance between(3,-3) and (-3,5)
Answer:
10 units
Step-by-step explanation:
use distance formula to solve for this!
distance formula is
the square root of the change in x squared + the change in y squared.
sqrt (3+3)^2 + (|-3-5|)^2
sqrt 36 + 64
sqrt 100 = 10
the distance is 10 !
Answer:
the ditstance between (3,-3) and (-3,5) is 10
Step-by-step explanation:
we know the distance in a cartesian axis is
[tex] \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} }[/tex]
so the answer is calculated 10
3 ft of a 3 inch crown molding costs you $8.75 at the lumber store. How much would it cost for 31 ft?
Answer:
9.10 * 8.75 = 79.62
Step-by-step explanation:
Sorry if its wrong... :(
A taxi ride costs $3.50 plus $2.50 per mile driven. If Sasha has $37 in cash , what is the greatest whole number of miles she can ride in this taxi ? Happy Holiday ´ s...
Answer:13
Step-by-step explanation:
37-3.5=33.5
33.5/2.5=13.4
since it ask for the whole number, it will be 13
Rebecca draws a graph of a real-world relationship that turns out to be a set of unconnected points. Can the relationship be linear? Can it be proportional? Complete the explanation of your reasoning.
Answer:
Step-by-step explanation:
Tara placed $1200 in a savings account which compounds interest continuously at a rate of 1.4%.
How much will she have in the account after 3 years?
Round your answer to the nearest dollar.
Do NOT round until you have calculated the final answer.
Answer:
$1,251
Step-by-step explanation:
Formula: [tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Plug the values into the formula; solve:
[tex]r = \frac{r}{100}[/tex]
[tex]r = \frac{1.4}{100}[/tex]
[tex]r = 0.014[/tex]
0.014 rate per year
[tex]A = Pe^{rt}[/tex]
[tex]A = 1,200.00^{(2.71828)}^{(0.014)(3)}[/tex]
[tex]A = $1,251.47\\[/tex]
1,251.47 is 1251 rounded because the first value after the decimal point is not greater or equal to 5.
Answer:
1251
Step-by-step explanation:
The students at Vienna Elementary sold donuts every day at school for 6 months. The table below shows the earnings for the first 6 weeks. If the pattern continues, how much will the students make in week 8?
Pics here
↓
The student made $100 in week 8.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Amount earned from the first week to 6 weeks.
110, 100, 90, 110, 100, 90
We see that,
Every 3 weeks the amount gets repeated.
So,
7th week = 110
8th week = 100
Thus,
The amount earned in week 8 is $100.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
find the area of a square park whose perimeter is 400m
Answer: 1600m^2
Its a square so all sides are equal. So...
400m * 400m
= 1600m^2
There is a line that includes the point (4, 1) and has a slope of 1. What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 1 , then
y = x + c ← is the partial equation
To find c substitute (4, 1 ) into the partial equation
1 = 4 + c ⇒ c = 1 - 4 = - 3
y = x - 3 ← equation of line
1. Use precise mathematical language to justify and explain each mathematical process.
Use the rectangle with side lengths 5.22 – 8x + 9 and x + 5 for the following two questions.
1. What is the perimeter of the rectangle? Write a summary of the process used to determine the expression.
2. What is the area of the rectangle? Write a summary of the process used to determine the expression.
Mathematical processes are the steps used to determine the result of operations
The perimeter of the rectangle is [tex]10x^2 - 14x + 28[/tex]The area of the rectangle is [tex]5x^3 +17x^2 -31x + 45[/tex]The dimension of the rectangle is given as:
[tex]Length = 5x^2 - 8x + 9[/tex]
[tex]Width = x + 5[/tex]
(1) The perimeter of the triangle
This is the sum of the side lengths of the rectangle.
So, we have:
[tex]Perimeter = 2 \times (Length + Width)[/tex]
This gives
[tex]Perimeter = 2 \times (5x^2 - 8x + 9 + x + 5)[/tex]
Collect like terms
[tex]Perimeter = 2 \times (5x^2 - 7x + 14)[/tex]
Open brackets
[tex]Perimeter = 10x^2 - 14x + 28[/tex]
Hence, the perimeter of the rectangle is [tex]10x^2 - 14x + 28[/tex]
(2) The area of the triangle
This is the product of the dimensions of the rectangle.
So, we have:
[tex]Area = Length \times Width[/tex]
This gives
[tex]Area = (5x^2 - 8x + 9) \times (x + 5)[/tex]
Open brackets
[tex]Area = 5x^3 - 8x^2 + 9x +25x^2 - 40x + 45[/tex]
Collect like terms
[tex]Area = 5x^3 - 8x^2 +25x^2+ 9x - 40x + 45[/tex]
[tex]Area = 5x^3 +17x^2 -31x + 45[/tex]
Hence, the area of the rectangle is [tex]5x^3 +17x^2 -31x + 45[/tex]
Read more about areas and perimeters at:
https://brainly.com/question/15656646
Help help math I’ll give points thanks
Answer:
x=13
Step-by-step explanation:
8x-20=4x+32
start by moving the terms,
8x-4x=32+20
combine
4x=52
divide each side by 4
x=13
help plssssssssssssssssssssssssssssssssssssss
KisthemidpointofJL. If JK = 3x and KL = x + 8, what is JK?
Given: JK = 3x - 5, KL = 2x + 1
The sum of the segments JK and KL will equal the length of the segment JL = 16
So we can write:
3x - 5 + (2x + 1) = 16 [JK + KL = JL]
Collect terms, solve for x:
5x - 4 = 16
5x = 20
x = 4
JK = 3x - 5 = 3*4 - 5 = 12 - 5 = 7
Ans: 7
Show that the equation y + 2 = 2(2x + 1) is linear and that it represents a proportional relationship between x and y.
Y=x+3 please helppppppppppol
Answer:
(-1, 2), (0,3), (1,4)
slope= 1
y-intercept= (0,3)
Step-by-step explanation:
Figures A and B at right are similar. Assuming that figure A is the original figure, find the scale factor and find the lengths of the missing sides of figure B.
A 4 sided polygon, labeled A, with sides labeled as follows: left, 15, top, 12, right, 18, bottom, 20. A smaller, 4 sided polygon, labeled b, oriented the same way, has left side labeled: 3.
The scale factor is: 1/5.
The missing sides of figure B are: 2.4, 3.6, and 4.
How to find Scale Factor?Scale factor = dimension of new figure / dimension of original figure
The polygons given are shown in the diagram attached below.
Figure A is the original figure
Figure B is the new figure.
x, y, and z has been used to mark the missing sides of figure B.
One dimension of original figure = 15
Corresponding dimension of the new figure = 3
Scale factor = new/original = 3/15
Scale factor = 1/5
To find the missing sides of figure B, multiply each corresponding side lengths of Figure A by the scale factor:
x = 12 × 1/5 = 2.4
y = 18 × 1/5 = 3.6
z = 20 × 1/5 = 4
In summary:
The scale factor is: 1/5.
The missing sides of figure B are: 2.4, 3.6, and 4.
Learn more about scale factor on:
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NEED HELP RN!!! PLS ☹️
Answer:
show the screen clearer !
Step-by-step explanation:
which value is NOT equivalent to the others 3^4 3+3+3+3 3^2x 3^2 3x3x3x3
Answer:
3+3+3+3
Step-by-step explanation:
Hopefully I didn't get confused
3^4 vs 3+3+3+3 vs (3^2)(3^2) vs 3x3x3x3
Well the best way to do it is to do each
3^4=81
3+3+3+3=12
3^(2+2)=81
3x3x3x3=81
Therefore 3+3+3+3 is not equilvilent
The solution to the following inequality:
-3(6-2g)>4g
Answer:
Solution: g > 9
Interval Notation: (9 , ∞)
Step-by-step explanation:
-3 * (6-2g) > 4g
-18 + 6g > 4g
6g - 4g > 18
2g > 18
g > 9
Which, if any, of the following would not generate a sphere?
A. Rotating a circle 180° about its diameter
B. Rotating a semicircle 360° about its diameter
C. Rotating a circle 360° about any point on the circle
D. All of the above would generate a sphere
Answer:
i think D. All of the above would generate a sphere is answer
Find a polynomial with the following zeros.
HELPPPP ASAPPP
Answer:
x³ - 4x² + 2x + 4 = 0
Here's how I solved this:
You start off by rewriting the zeros into factors:
1 - √3 → x = 1 - √3 → (x - 1 - √3)
2 → x = 2 → (x - 2)
1 + √3 → x = 1 + √3 → (x - 1 + √3)
Now you want to multiply the factors together:
(x - 1 - √3) · (x - 2) · (x - 1 + √3)
- Multiply the first two factors together -
(x - 1 - √3) · (x - 2)
↓
(x · x - x · 2 - √3 · x + √3 · 2 - x + 2)
- Combine like terms and simplify -
(x · x - x · 2 - √3 · x + √3 · 2 - x + 2)
↓
(x² - 3x - √3 · x + 2√3 + 2)
- Now multiply the third factor -
(x² - 3x - √3 · x + 2√3 + 2)(x - 1 + √3)
↓
(x² · x + x² · √3 - x² - 3x · x - 3x · √3 + 3x - √3 · xx - √3 · x · √3 +√3 · x + 2 · √3 · x + 2 · √3 · √3 - 2 · √3 + 2x + 2 · √3 - 2)
↓
(x³ + x² · √3 - x² - 3x² - 3x · √3 + 3x - √3 + 3x - √3 * x² - x · 3 + √3 · x + 2 · √3 · x + 2 · 3 - 2 × √3 + 2x + 2 √3 - 2)
- Combine like terms and simplify -
(x³ + x² · √3 - x² - 3x² - 3x · √3 + 3x - √3 + 3x - √3 * x² - x · 3 + √3 · x + 2 · √3 · x + 2 · 3 - 2 × √3 + 2x + 2 √3 - 2)
↓
x³ - 4x² + 2x + 4
--------------------------------------------------------------------------------------------------------------
And there we get our solution: x³ - 4x² + 2x + 4