Answer: 6 minutes.
Step-by-step explanation: You can use a graphing calculator to see the exact graph, but you're trying to figure out what value of x gives you a y of 0. -50 times 6 is 300, plus 300 equals 0.
The graph of the equation y = -50x + 300 is a straight line, and plotted below. The time it take the pool to drain, according to this equation, is 6 minutes.
How do we make graph of a function?Suppose the considered function whose graph is to be made is f(x)
The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values f(x) are plotted on the vertical axis.
They are together plotted on the point
(x,y) = (x, f(x))
This is why we usually write the functions as:
y = f(x)
For this case, we're specified that:
y = the number of gallons of water left after draining the pool for x minutes.The relationship between x and y given is: y = -50x + 300Take two different values of x, let it be 0 and 1.
Then, the value of y we get is:
Case 1: x = 0:[tex]y = -50x + 300\\y = -50 \times 0 + 300\\y = 300[/tex]
Thus, one point on the equation y = -50x + 300 is (0,300)
Case 2: x = 1:[tex]y = -50x + 300\\y = -50 \times 1 + 300\\y = 300 - 50 = 250[/tex]
Thus, another point on the equation y = -50x + 300 is (1,250)
Plot these points taking x on horizontal and y on vertical axis. Then join those two points by a straight line. This is the graph of the considered equation as equation of type [tex]y = mx +c[/tex] is a straight line's equation and for straight line, two of its points are sufficient to plot it.
The graph is given below.
Since we know that:
y = number of gallons of water left after draining the pool for x minutes,
so when the pool drains of fully, there will be no water left, or y = 0.
Putting y = 0 in the equation y = -50x + 300, we get:
[tex]y = -50x + 300\\0 = -50x + 300\\\\\text{Adding 50x on both the sides}\\\\50x = 300\\\\\text{Dividing both the sides by 50}\\\\x = \dfrac{300}{50}= 6[/tex]
Thus, when y= 0, we get x = 6, so when the fully filled pool is drained for 6 minutes, the whole pool gets drained (for this case).
Thus, the time it take the pool to drain, according to this equation, is 6 minutes. The graph of the equation y = -50x + 300 is given below.
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1. Simplify the problem below -3x^-2
Answer: -3/x^2
Step-by-step explanation:
Hope this helps
Answer:
-3/x^2
Step-by-step explanation:
Mia is playing sseveral rounds of a word game. In each coordinate pair,x shows the number of the round and y shows mia's score for that round. Round 1: (1,3) round 2: (2,6) and round 3: (3,3). In round 4, Mia scores the same number of points as in round 2 and 3 combined. What is the coordinate pair that represents mia's score for round 4
Answer:
(4,9)
Step-by-step explanation:
Given
Round 1: (1,3)
Round 2: (2,6)
Round 3: (3,3)
Required
Determine the coordinate of Round 4
Since, Mia score is round 2 and 3 combined;
We have:
Round 4 = 6 + 3
Round 4 = 9
Hence:
The coordinates is (x,y)
Where
x = Round number
y = Score
So, we have: (4,9)
Round 4:
(4, 9)
x = round so 4
y = score of round 2 and 3 combined so 9 (6 + 3)
what is 2.25 x 10 to the 4 power in standard form?
Answer:
Here's how to solve.
Step-by-step explanation:
10 to the 4th power= 10,000
So it would be 2.25*10,000
22,500 would be your answer.
Write equation in slope intercept form (x=mx+b). Find the slope (x) and the y-intercept (b) of the line
Answer:
slope=.5
intercept= 1
Josiah downloads 44 songs, including 16 songs by his favorite band.
Express as a decimal the number of songs by his favorite band that Josiah downloaded out of the total number of downloads
Answer:
0.363636
Step-by-step explanation:
44/1=16/x
44x=16
x=0.363636
12 out of 15 students play in the school band. In a class of 45 students, how many do NOT play in the band?
Answer: 36
12 out of 15 people play in the school band. In the class, 36 do not play.
12:15 is equal to a ration of 36:45.
So, it is the answer. 36 out of 45 people in the class play in the band.
Hope this helps!
Answer:
9 I think
Step-by-step explanation:
I wanted to simplify 12 out of 15 and I did by dividing 3 out of both of them which would now equal 4 out of 5. I know that 4 out of 5 is 80%. so, I did 80 % of 45 which equals 36 which means 36 people were in band. So now you minus 36 from 45 which is 9
9 people did not play in band
A parachute is descending at a rate of 28 feet per minute. Find the total change in altitude of the parachute after 4 minutes.
Answer:
The parachute descended 112 feet
Step-by-step explanation:
ANSWER I ADDED EXTRA POINTS BUT ANSWER RIGHT AND EXPLAIN YOUR ANSWER!!!! 2 QUESTIONS...
24.) What is the equation in slope-intercept form of the line that passes through the point (2, -2) and is perpendicular to the line represented by y= 2/5x + 2 ?
A) y= 5/2x - 7
B) y= 5/2x + 7
C) y= -5/2x - 3
D) y= -5/2x + 3
25.) Suppose the linear cost function C(x) = 6x gives the cost for buying x items. If the items are sold in packages of 10, and no one can buy more than 5 packages, then the RANGE of the function C is
A) [0, 50]
B) [5, 10]
C) {0, 6, 12, 18, 24, 30}
D) {0, 60, 120, 180, 240, 300}
Answer:
24) D
25) D
Step-by-step explanation:
24) D
We want to find the equation of a line (in slope-intercept form) that passes through (2, -2) and is perpendicular to [tex]y=\frac{2}{5}x+2[/tex].
First, let's find the slope of our new line.
Remember that perpendicular slopes are negative reciprocals of each other.
Therefore, to find the slope of our new line, we will flip our old slope and add a negative.
Therefore, the slope of our new line is -5/2.
Now, we can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
So, let's substitute -5/2 for our slope and (2, -2) for our point (x₁, y₁). This yields:
[tex]y-(-2)=-\frac{5}{2}(x-2)[/tex]
Simplify:
[tex]y+2=-\frac{5}{2}(x-2)[/tex]
Let's convert this to slope-intercept form. Distribute the right:
[tex]y+2=-\frac{5}{2}x+5[/tex]
Subtract 2 from both sides. So, our equation is:
[tex]y=-\frac{5}{2}x+3[/tex]
Our answer is D.
25)
We know that the cost for buying x items is given by the function:
[tex]C(x)=6x[/tex]
We also know that the items are sold in packages of 10 only. And no one can buy more than 5 packages. In other words, we can buy 0, 1, 2, 3, 4, or 5 packages.
So, let's see how much it will be if we buy 0 packages. This will just be:
[tex]C(0)=6(0)=\$0[/tex]
If we buy 1 package, there will be 10 items in them. So:
[tex]C(10)=6(10)=\$60[/tex]
If we do this for 2 packages (20 items), 3 packages (30 items), and so on, we will get:
[tex]C(20)=6(20)=\$120\\C(30)=6(30)=\$180\\C(40)=6(40)=\$240\\C(50)=6(50)=\$300[/tex]
So, our range is:
[tex]\{0, 60, 120, 180, 240, 300\}[/tex]
The correct answer is D.
And we're done!
Mark bought three pairs of shorts and one pair of shoes. If the shoes cost $25 and he spent
$78.85 before tax, how much do each pair of shorts cost?
Answer:
17.95 :)
Step-by-step explanation:
25-78.85= 53.85, and 53.85/3= 17.95 so each pair of shorts costed 17.95
Sam's Furniture Store places the following advertisement in the local
newspaper. Write a system of equations for the three combinations of
furniture. What is the price of a love seat?*
Write a system of equations for the word problem and solve it. ONLY input your answer for how
much a love seat cost.
SAM'S
Store
Stand kve seat
$1300
$1400
$1600
Sols and two chairs
Safa, love seat, and one chair
Your answer
Answer:
1. The system of equations is given as follows;
S + L = $1,300................(1)
S + 2·C = $1,400............(2)
S + L + C = $1,600.........(3)
Where;
S = The cost of a sofa
L = The cost of a love sea
C = The cost of a single chair
2. The cost of a love sea, L is $500
Step-by-step explanation:
1. The given information are;
The price of sofa and love sea = $1,300
The price of sofa and two chairs = $1,400
The price of sofa, love sea, and one chair = $1,600
Let the cost of a sofa = S
Let the cost of a love sea = L
Let the cost of a chair = C
Therefore, we have;
S + L = $1,300................(1)
S + 2·C = $1,400............(2)
S + L + C = $1,600.........(3)
2. From equation (1), we have;
L = $1,300 - S
Similarly, from equation (2),we have;
C = ($1,400 - S)/2
Substituting the values of L and C in equation (3), we have;
S + $1,300 - S + ($1,400 - S)/2 = $1,600
Which gives;
($1,400 - S)/2 = $1,600 - $1,300 = $300
$1,400 - S = 2 × $300 = $600
$1,400 = $600 + S
$600 + S = $1,400
S = $1,400 - $600 = $800
S = $800
The cost of a love seat, L, is given from the relation L = $1,300 - S, above, which gives;
L = $1,300 - $800 = $500
The cost of a love sea, L is $500 .
Need Helps ASAP!
Complete the statements below with the process used to achieve steps 1-4
Answers for each step:
Multiply, add, subtract, divide.
Step 1. Multiply
Step 2. Subtract
Step 3. Add
Step 4. Divide
What is m∠TVU?
m∠TVU = __°
[tex]4x + 3 = 3x + 12[/tex]
Both sides minus 3
[tex]4x = 3x + 12 - 3[/tex]
[tex]4x = 3x + 9[/tex]
Both sides minus 3x
[tex]4x - 3x = 9[/tex]
[tex]x = 9[/tex]
So :
TVU = 3(9)+12 ----¢ TVU = 27 + 12
TVU = 39°
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Find the sum or difference of the polynomials.
(7x2 + 5x −3) +(5x2 −9x +6)
Answer:
12x2−4x+3
Step-by-step explanation:
Please help me out with these 2 questions! Legit answers only please!
Answer:
1.) 12 hours 2.) She made a multiplying error in the table.
Step-by-step explanation:
1.)
First, let's find the slope of this equation:
m = 135 - 81 / 5 - 3
m = 54/2
m = 27
Therefore, the equation should be y = 27x.
Now we substitute 324 for y and solve for x:
324 = 27x
12 = x (Divided 27 on both sides.)
Therefore, someone would have to work 12 hours in order to earn $324.
2.)
For this problem, it appears Amanda has found the correct equation for her recipe. When taking a look at the table, however, it seems as though she has made a multiplying error.
THIS IS MY LAST QUESTION SO CAN SOMEONE HELP
ME OUT
Answer:
Step-by-step explanation:
Hello, as this is reflected over the y=o line, it does not change the value for x so this is (3,2)
and the reflection over y=0 line changes the y in -y
thanks
does the equation y = 3x+6 represent a proportional relationship?
–4(5x)
simplify .......
Answer:
-20x.....
Step-by-step explanation:
–4(5x)
-20x
hi help and you get 100 points
I know all but 14. and 14. but number 10. is -1.89 11. is 1.86 and 12. is 6.24.
Answer:
Okay so 2+2 = 4
Step-by-step explanation: 349609658959603589657045863408w8024306835+1=349609658959603589657045863408w8024306836
Find the value of x, Need help--- test tomorrow!!!!
The answer is 14.
I need to show the equations.
THANK YOU
Solve for w.
W+5/-3 = -2w+6/4
Answer:
w=19
Step-by-step explanation:
The Hoffman family has bought one pizza on Friday night every week for the last 10 years.
How many pizzas have they bought on Friday nights? Helpppp
Answer:520
Step-by-step explanation:.
Maureen, Frank, Tashia, Zane, Eric, and Wesley are addressing envelopes for volunteer work at a local charity. They were given ¾ of an entire mailing to address to be evenly divided among six of them. What fraction of the entire mailing does each person address?
Answer:
The fraction of the entire mail each person address = 1/8
Step-by-step explanation:
Given that:
number of people addressing envelopes = 6
If they gave out 3/4 of an entire mailing address.
Then, the amount of mailing not addressed is:
= 1 - 3/4
= [tex]\dfrac{4-3}{4}[/tex]
= 1/4
If 6 people shared 3/4 of an entire mailing to address evenly.
Then: each person gets:
[tex]=\dfrac{3}{4} \div 6[/tex]
[tex]=\dfrac{3}{4} \times \dfrac{1}{ 6}[/tex]
= 1/8
The fraction of the entire mail each person address = 1/8
Mrs. Barkley is teaching a class in which the students are decorating gift boxes. She wants the students to decorate gift boxes using a ratio of 4 gems for every 3 ribbon flowers.
Dan used 20 gems for every 15 ribbon flowers.
Mary used 22 gems for every 18 ribbon flowers.
Nancy used 18 gems for every 24 ribbon flowers.
Jason used 26 gems for every 20 ribbon flower.
Which student used the correct ratio?
Dan used 20 gems for every 15 ribbon flowers
Rewrite in simplest form 4(-6g-10h)+3h-4(-3h-10g)
PLEASE HELPWhich line has an equation of Y-5X+4 in slope-intercept form?
a line passing through the points (1, 9) and (3, 19)
a line passing through the points (2, -14) and (4,-24)
a line passing through the points (1, 1) and (3, 11)
a line passing through the points (2. -6) and (4, -16)
Answer:
a line passing through the points (2, -6) and (4, -16)
Step-by-step explanation:
y=-5x+4
you plug in the x value and put the y value on the left side of the equation
for example
-6 = -5(2) + 4
then solve to see if it works
-5(2) = -10 + 4 = -6
(2, -6) works
-16 = -5(4) +4
-5(4) = -20
-20 + 4 = -16
(4, -16) works
What is the greatest common factor of 45, 50, 84?
Answer:
the greatest common factor is B - 1
Step-by-step explanation:
not 5 because 85 doesn't end with 0 or 5
not 3 because 5+0 doesn't equal a multiple of 3
not 2 because 45 is odd
not 0 because that's never an answer
i want the ans to this ques
Answer:
here you go..............
Answer the riddle!
I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?
PS: DO NOT LOOK UP!
You are an echo, I believe. Right?
60 percent of what number is 30?
Answer:
the answer willl be 50%
The 60 percent of 50 equals 30.
To find what number is 60 percent of 30, you can set up the following equation:
0.60 * x = 30
Here, 'x' represents the unknown number that is 60 percent of 30. To solve for 'x,' divide both sides of the equation by 0.60:
x = 30 / 0.60
Now, perform the division:
x = 50
Therefore, 60 percent of 30 is 50. In other words, 50 is the number you are looking for, which is 60 percent of 30. You can verify this by calculating 60 percent of 50:
0.60 * 50 = 30
As expected, 60 percent of 50 equals 30.
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4(2a+3)=-3(a-1)+31-11a
Answer:
a=1
Step-by-step explanation: