Answer:
[tex]y = 30x +50[/tex] --- Sam
[tex]y = 20x +80[/tex] --- Tim
Step-by-step explanation:
Given
Sam Tim
х --- f(x) --------------- g(x)
1 --- 80 --------------- 100
2 --- 110 --------------- 120
3 --- 140 --------------- 140
4 --- 170 -------------- 160
Required
Determine the y value
y value implies the equation of the table
Calculating the equation of Sam
First, we need to take any corresponding values of x and y
[tex](x_1,y_1) = (1,80)[/tex]
[tex](x_2,y_2) = (4,170)[/tex]
Next, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{170 - 80}{4 - 1}[/tex]
[tex]m = \frac{90}{3}[/tex]
[tex]m = 30[/tex]
Next, we calculate the line equation using:
[tex]y - y_1=m(x-x_1)[/tex]
[tex]y - 80 = 30(x - 1)[/tex]
[tex]y - 80 = 30x - 30[/tex]
Make y the subject
[tex]y = 30x - 30 + 80[/tex]
[tex]y = 30x +50[/tex]
Calculating the equation of Tim
First, we need to take any corresponding values of x and y
[tex](x_1,y_1) = (1,100)[/tex]
[tex](x_2,y_2) = (4,160)[/tex]
Next, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{160 - 100}{4 - 1}[/tex]
[tex]m = \frac{60}{3}[/tex]
[tex]m = 20[/tex]
Next, we calculate the line equation using:
[tex]y - y_1=m(x-x_1)[/tex]
[tex]y - 100 = 20(x - 1)[/tex]
[tex]y - 100 = 20x - 20[/tex]
Make y the subject
[tex]y = 20x - 20+100[/tex]
[tex]y = 20x +80[/tex]
Calculate the amount of simple interest earned
$1,000 at 4% for 4 years
Answer:
$160
Step-by-step explanation:
A = $1,160.00
I = A - P = $160.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year.
Solving our equation:
A = 1000(1 + (0.04 × 4)) = 1160
A = $1,160.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,000.00 at a rate of 4% per year for 4 years is $1,160.00.
Offering Brainliest , a 5 star review, and a like on your answers if you can successfully answer these last 2 simple coordinate questions and show some work.
Answer: pretty sure it's -1,1
M ( 3 , 1 )
Step-by-step explanation:
Answer:
J ( -1 , 1 )
M ( 3 , 1 )
Explanation:
When moving coordinates left = subtract from previous X position
When moving coordinates right = add from previous X position
When moving coordinates up = add from previous Y position
When moving coordinates down = subtract from previous Y position
a group of 5 friends goes to a show. Each ticket cost $9, and the friends share a popcorn that cost $6. Which shows the total cost
Answer:
The total cost is $51
Step-by-step explanation:
The answer is 51 because 5 times 9 is 45 and 45 plus 6 is 51
.
Answer:
the total cost is $51.00 dollars
Snow Dome Ski Resort has 75 inches of snow. It is currently snowing there at a rate of 1 inch per hour. Mt. Winterpark Ski Resort has 68 inches of snow. Currently it is snowing there at a rate of 2 inches per hour.
a) Make a table or a graph showing the amount of snow from 0 to 10 hours at each resort if the snow continues falling at this rate.
b) Indicate on your table or graph where the amount of snow will be the same at both resorts.
Answer:
a. See explanation for table
b. The 7th hour
Step-by-step explanation:
Given
Ski Resort
[tex]Base\ Snow = 75in[/tex]
[tex]Rate = 1in[/tex] hourly
Mt. Winterpark
[tex]Base\ Snow = 68in[/tex]
[tex]Rate = 2in[/tex] hourly
First, we need to illustrate the amount of snow as an equation in both cases.
[tex]Amount = Base\ Snow + Rate * Time[/tex]
Let x be number of hours. and y be the amount of snow
So:
Ski Resort
[tex]y= 75 + 1* x[/tex]
[tex]y= 75 + x[/tex]
Mt. Winterpark
[tex]y= 68 + 2 * x[/tex]
[tex]y= 68 + 2x[/tex]
Next, we make a table to show the data.
When [tex]x = 0[/tex]
Ski Resort: [tex]y = 75 + 0 = 75[/tex]
Mt. Winterpark: [tex]y = 68 + 2(0) = 68[/tex]
When [tex]x = 1[/tex]
Ski Resort: [tex]y = 75 + 1 = 76[/tex]
Mt. Winterpark: [tex]y = 68 + 2(1) = 70[/tex]
When [tex]x = 2[/tex]
Ski Resort: [tex]y = 75 + 2 = 77[/tex]
Mt. Winterpark: [tex]y = 68 + 2(2) = 72[/tex]
When [tex]x = 3[/tex]
Ski Resort: [tex]y = 75 + 3 = 78[/tex]
Mt. Winterpark: [tex]y = 68 + 2(3) = 74[/tex]
When [tex]x = 4[/tex]
Ski Resort: [tex]y = 75 + 4 = 79[/tex]
Mt. Winterpark: [tex]y = 68 + 2(4) = 76[/tex]
When [tex]x = 5[/tex]
Ski Resort: [tex]y = 75 + 5 = 80[/tex]
Mt. Winterpark: [tex]y = 68 + 2(5) = 78[/tex]
When [tex]x = 6[/tex]
Ski Resort: [tex]y = 75 + 6 = 81[/tex]
Mt. Winterpark: [tex]y = 68 + 2(6) = 80[/tex]
When [tex]x = 7[/tex]
Ski Resort: [tex]y = 75 + 7 = 82[/tex]
Mt. Winterpark: [tex]y = 68 + 2(7) = 82[/tex]
When [tex]x = 8[/tex]
Ski Resort: [tex]y = 75 + 8 = 83[/tex]
Mt. Winterpark: [tex]y = 68 + 2(8) = 84[/tex]
When [tex]x = 9[/tex]
Ski Resort: [tex]y = 75 + 9 = 84[/tex]
Mt. Winterpark: [tex]y = 68 + 2(9) = 86[/tex]
When [tex]x = 10[/tex]
Ski Resort: [tex]y = 75 + 10 = 85[/tex]
Mt. Winterpark: [tex]y = 68 + 2(10) = 88[/tex]
Hence, the table is:
x ---- Ski Resort ---- Mt. Winterpark
0 --------75 ----------- 68
1 --------76 ----------- 70
2 --------77 ----------- 72
3 --------78 ----------- 74
4 --------79 ----------- 76
5 --------80 ----------- 78
6 --------81 ----------- 80
7 --------82 ----------- 82
8 --------83 ----------- 84
9 --------84 ----------- 86
10 -------85 ----------- 88
(b)
From the table, the amount of snow is the same at the 7th hour and the snow is 82 inches
i need help on this one
Answer:
Is g(x)
Step-by-step explanation:
We search the roots of the function on this way
(x-1)^2 (x+2) =0
(x-1)^2 =0
x-1=[tex]\sqrt{0}[/tex]
x=1 ////
(x+2)=0
x=-2 ////
So (1,0) and (-2,0) are the roots of the function (as the image)
007
0.3
X
How to multiply .007 by 0.3?
Answer:
0.0021
Step-by-step explanation:
0.007 x 0.3= 0.0021
Given the graph that is shown. What is the range of the function?
Answer:
B
Step-by-step explanation:
Range is Y and the point is -4 to 2
true or false 7b + 14bc = 5
Answer: False
Step-by-step explanation:
Hey there! 7b + 14b = 5 would equal 21b + 5 after you add 7b + 14b.
21b = 5 is false because it doesn't match with 5.
If the answer was true then it would be 5 = 5.
~I hope I helped :)~
HELP PLEASE!!! Math question
Answer:
(a). [tex]\frac{3}{7}[/tex]
(b). [tex]\frac{4}{13}[/tex]
Step-by-step explanation:
(a). Odds in favor of winning a new T.V. = [tex]\frac{4}{7}[/tex]
Or probability of not winning a new T.V. = [tex]\frac{4}{7}[/tex]
Since, Probability to win a T.V. + Probability of not winning the new T.V. = 1
Probability of winning a new T.V. = 1 - Probability of not winning a new T.V.
= 1 - [tex]\frac{4}{7}[/tex]
= [tex]\frac{7-4}{7}[/tex]
= [tex]\frac{3}{7}[/tex]
(b). Probability of winning the match + probability of not winning the match = 1
[tex]\frac{9}{13}[/tex] + Probability of not winning the match = 1
Probability of not winning the match = 1 - [tex]\frac{9}{13}[/tex]
= [tex]\frac{13-9}{13}[/tex]
= [tex]\frac{4}{13}[/tex]
Question
20 pts
There are 600 6th grade students who attend Falcon Cove Middle School. 17% of them
believe that Mr. Too Much should be fired for being the silliest teacher they have ever known.
How many 6th graders at Falcon Cove believe Mr. Too Much should be fired?
6th graders at Falcon Cove believe Mr. Too Much should be fired.
Question 2
20 pt
Answer:
u can ask the tutor and he or she will help u in real time and explain
I need help on this question
11. In a swimming race, Yvonne swam 0.18 mile.
David swam 4 times as far as Yvonne. How far
did David swim?
(A) 2.2 miles
B
0.22 mile
C.7.2 miles
D
0.72 mile
Answer: D= 0.72
Step-by-step explanation: Because 0.18 times 4 is 0.72 miles.
Answer:
D. 0.72 miles
Step-by-step explanation:
Since David swam 4 times as far is Yvonne, he swam 4 times more than 0.18. 0.18 times 4 is 0.72. If you want/need to do it in your head, just imagine 0.18 as 18, and that multiplied by 4 is 72. then move the decimal point back over before the 7, to get your answer.
Two of the other choices are clearly wrong because the actual answer is way less than the other choices (except for B). One way to quickly figure out which two (or sometimes three) are wrong is by rounding 0.18 up to 0.2. You can try this quickly because 0.2 is barely bigger than 0.18, and 0.2 is easy to multiply by 4. The answer you would get from multiplying 0.2 is not exactly correct, but gives you a general idea.
Which number line shows the correct placement of 20%, 1/3
and 2/3?
Answer:
the answer is option A why because its basiclly telling us that 1/3 and 2/3 are close to each other and they need to find the percent on how to get to the whole number in this case is 1
Step-by-step explanation:
Answer A you welcome
12) Abhasra invests $5,323 in a savings
account with a fixed annual interest rate of
9% compounded continuously. What will
the account balance be after 5 years?
Answer:
$7,7748.35
Step-by-step explanation:
$5,323$7748.35 + $2,395.35(INTEREST)
Use numerals instead of words.
The Smiths are sending out a batch of holiday cards. Emily signed 2/5 of the cards. Then Josh signed 1/9 of the remaining cards. Tatiana signed 20% of what Josh had left.
If there were 75 cards in all, how many cards are left to be signed?
There are
cards yet to be signed.
Answer:
25 because is the steep between card
Answer:
32
I hope this helps
Determine whether the function g(x)= -x +2 is increasing or decreasing.
Answer:
its decreasing :) the person above me is correcto
Please help me please
Answer:
To be honest I don't know I just need some points 1+1=2
Step-by-step explanation:
Which expression has a value of -22?
Answer:
−5 ⋅ 2 − 12
Step-by-step explanation:
A spherical balloon is being inflated with helium at a rate of 20π cm3/min. How fast is the balloon's radius changing when the radius is 1 cm?
Answer:
5 cm/min
Step-by-step explanation:
A spherical balloon is being inflated with helium at a rate of 20π cm³/min.
The volume of a sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3[/tex] ...(1)
Differentiate equation (1) wrt t as follows :
[tex]\dfrac{dV}{dt}=3\times \dfrac{4}{3}\pi r^2\times \dfrac{dr}{dt}\\\\\dfrac{dV}{dt}=4\pi r^2\dfrac{dr}{dt}\ ....(1)[/tex]
Put dV/dt = 20π cm³/min and r = 1 cm, we can fin dr/dt
[tex]\dfrac{dV}{dt}=4\pi r^2\dfrac{dr}{dt}\\\\20\pi =4\pi (1)\times \dfrac{dr}{dt}\\\\\dfrac{dr}{dt}=5\ cm/min[/tex]
So, the radius of changing at the rate of 5 cm/min.
Using implicit differentiation, it is found that the radius is changing at a rate of 5 cm/min.
The volume of a sphere of radius r is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
Applying implicit differentiation, the rate of change is of:
[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]
A spherical balloon is being inflated with helium at a rate of 20π cm3/min, hence [tex]\frac{dV}{dt} = 20\pi[/tex]The radius is of 1 cm, hence [tex]r = 1[/tex].Then:
[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]
[tex]20\pi = 4\pi (1)^2\frac{dr}{dt}[/tex]
[tex]\frac{dr}{dt} = \frac{20}{4}[/tex]
[tex]\frac{dr}{dt} = 5[/tex]
The radius is changing at a rate of 5 cm/min.
A similar problem is given at https://brainly.com/question/14004755
Is there anyone here who does Calvert or Odessy?
I was quite behind on my assignments, and, somehow, I go to catch up and they've been completed or something. It says I'm 100% on pace, and I know for a fact that I wasn't. What happened?
what happen is there is a glitch probably
yes this is what happened to me. if u get too far behind they will change the due dates to your "pace" and make it easier for you.
What’s 4/5 divided by 3
Answer:
[tex]\frac{4}{15}[/tex]
Step-by-step explanation:
remember when dividing with fractions, you are multiplying by the reciprocal.
this means
[tex]\frac{4}{5} \div3=\frac{4}{5}*\frac{1}{3}=\frac{4}{15}[/tex]
Answer:
the answer is 0.26 it was originally 0.26666666666 which is repetition so I lowered it down to .26
A store owner recorded the number of tickets sold each hour. The graph shows some of the store owner's data. What is the slope of
the line shown?
A) 1
B) 2
C) 4
D)1/2
Can you help find which are functions?
Answer:
A and C are Functions
Step-by-step explanation:
They pass the vertical line test.
The way you know if a set of coordinates are not a function is if they have multiple points that have the same Y value.
The weight of one ticket is approximately 1.67 × 10-4 g. Write the numerical value without scientific notation.
Answer:
0.000167 g
Step-by-step explanation:
[tex]1.67 \times {10}^{ - 4} \: g\\ \\ = 0.000167 \: g[/tex]
Holly is making fruit salad. She bought 3 pounds and 3 ounces of fruit. How many ounces of fruit did she buy? *Needed ASAP
Answer:
Step-by-step explanation:
do 3 x 16 = 48 + 3 is 51
Solve the system for X:
y=3x +4
у=х+8 x +10
Answer: The answers are x=y/3–4/3, and x=y/9–10/9.
Step-by-step explanation: You’ll need to isolate the variable by dividing each side by factors that don't contain the variable.
SOMEONE PLZ HELP ME OUT!
Answer:
I'm not sure but I believe 0%
Step-by-step explanation:
Why I think this is they asked more than 200 students if they like hamburgers or hot dogs. They never said how many liked them both. That is why I think it is 0%. Also I'm only in 5th grade so sorry if this didn't help. I'm trying my best here.
PLEASE HELP!! Algebra 2
Answer:
No
Edit:
Yes, based on original equation. (Credit to greenpumpkin for correction)
Step-by-step explanation:
For this problem, we simply need to find the values of x that can make the equation true. So, let's begin by isolating the "x" variable.
sqrt(2x + 13) = x + 5
[sqrt(2x + 13)]^2 = (x + 5)^2
2x + 13 = x^2 + 10x + 25
0 = x^2 + 8x + 12
Note, we can remove the sqrt method by squaring both sides of the equation. Doing this, we see we have a quadratic equation meaning we can apply the quadratic formula to find solutions for x.
[-b +/- sqrt( b^2 - 4(a)(c) ) ] / 2a
Let a = 1, b = 8, and c = 12
[-8 +/- sqrt( (8)^2 - 4(1)(12) ) ] / 2(1)
= [-8 +/- sqrt( 64 - 48 ) ] / 2
= [-8 +/- sqrt(16) ] / 2
= [ -8 +/- 4 ] / 2
So, x = [ -8 + 4 ] / 2 and x = [-8 - 4 ] / 2
x = [-4] / 2 = -2 and x = [-12] / 2 = -6
Hence, the two values of x that can solve this quadratic equation are x = -2 and x = -6.
Therefore, we know that x = -6 is not extraneous, meaning it is a solution to our equation.
Cheers.
----------------------------------------------------
Edit:
Plugging the value of -6 back into the original equation, we get the following:
sqrt(2x + 13) = x + 5
sqrt(2(-6) + 13) = (-6) + 5
sqrt (1) = -1
1 != -1
Given that 1 cannot equal negative 1, we can say that x = -6 is an extraneous solution. (Credit to greenpumpkin for correction)
Please Help Meeee! Its a multiple answers..
Answer:
B C E
Step-by-step explanation:
trust me... its too hard to explain
Whats 40% as a decimal and just a normal convo between me and my Childhood Bestfriend.
Answer:
0.4
Step-by-step explanation:
40% is 0.4
Remember the tenths places
Hope this help:)
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