Graph the equations
Y=400+50x
Y=300+25x
1.) from the graph at what time will the they have the same height
I’ll give u brainlist pls help
Answers
Answer:
We conclude that, at 4 minutes, both will have the same height which is 200 feet.
Step-by-step explanation:
Given the system of equations
[tex]y=400+50x[/tex]
[tex]y=300+25x[/tex]
Important Tip:
The point of intersection of the two lines would give us the point at which both have the same height.Graphing the system of equations
The graph of the equation y = 400 + 50x
First, determine the y-intercept of the equation y = 400 + 50x by substituting x = 0
[tex]y = 400 + 50x[/tex]
[tex]y = 400 + 50(0)[/tex]
[tex]y = 400 + 0[/tex]
[tex]y = 400[/tex]
Thus, we determine that the ordered pair (0, 400) represents the y-intercept of the equation y = 400 + 50x.
Next, determine the x-intercept of the graph of the equation y = 400 + 50x by substituting y = 0
[tex]y = 400 + 50x[/tex]
[tex]0=400+50x[/tex]
switch sides
[tex]400+50x=0[/tex]
Subtract 400 from both sides
[tex]400+50x-400=0-400[/tex]
Simplify
[tex]50x=-400[/tex]
Divide both sides by 50
[tex]\frac{50x}{50}=\frac{-400}{50}[/tex]
Simplify
[tex]x=-8[/tex]
Thus, we determine that the ordered pair (-8, 0) represents the x-intercept of the equation y = 400 + 50x.
Important Tip:
The point at which the graph crosses the y-axis is called the y-intercept. The point at which the graph crosses the x-axis is called the x-intercept.The red graph on the diagram represents the equation y = 400 + 50x having the y-intercept (0, 400) and x-intercept (-8, 0)
Please check the attached diagram.
The graph of the equation y = 300 + 25x
Now, determine the y-intercept of the equation y = 300 + 25x by substituting x = 0
[tex]y = 300 + 25x[/tex]
[tex]y = 300 + 25(0)[/tex]
[tex]y = 300 + 0[/tex]
[tex]y = 300[/tex]
Thus, we determine that the ordered pair (0, 300) represents the y-intercept of the equation y = 300 + 25x.
Next, determine the x-intercept of the graph of the equation y = 300 + 25x by substituting y = 0
[tex]y=300+25x[/tex]
[tex]0 = 300 + 25x[/tex]
switch sides
[tex]300+25x=0[/tex]
Subtract 300 from both sides
[tex]300+25x-300=0-300[/tex]
Simplify
[tex]25x=-300[/tex]
Divide both sides by 25
[tex]\frac{25x}{25}=\frac{-300}{25}[/tex]
Simplify
[tex]x=-12[/tex]
Thus, we determine that the ordered pair (-12, 0) represents the x-intercept of the equation y = 300 + 25x.
The blue graph on the diagram represents the equation y = 300 + 25x having the y-intercept (0, 300) and x-intercept (-12, 0)
Please check the attached diagram.
Analyze the POINT OF INTERSECTION:
As we already know that the point of intersection of the two lines would give us the point at which both have the same height.
The diagram indicates that:
at x = -4, the value of y = 200.
It is the point where both lines meet.
Thus, the point of intersection of the two lines is:
(x, y) = (-4, 200)
Conclusion:
As x represents the time in minutes and y represents the height in feet.
Thus, we conclude that at x = 4 minutes, both will have the same height i.e. y = 200 feet
Therefore, we conclude that, at 4 minutes, both will have the same height which is 200 feet.
Related Questions
Find the measure of one of the interior angles of a
regular polygon with 12 sides.
A 30°
B 165°
C 150°
D 2160°
Answers
2)1800\12=150
So the answer is C
Why might u want to estimate by rounding each value to the nearest $1 instead of to the nearest $5
35 POINTS ANSWER FAST!
Answers
Could someone possibly help me with this question? Thanks
Answers
Answer:
[tex]12\sqrt{2}[/tex]
good luck, hope this helps :)
1. Two students went to McDonald's. They each bought the same snack, which included a shake
and a burger. The shakes cost $2 each. In total, they spent $12.
Part A: Enter an equation to represent this equation. Let x represent the cost of one burger.
Part B: Enter the cost of one burger.
Answers
Answer:
12-2=10 b=10
Step-by-step explanation:
What graph represents the inequality? Whoever answers first gets brainliest!
Answers
Answer:
B
We know the circle is closed
A movie ticket costs $12 with a discount of 5%. What is the amount of discount and the sale price?
Answers
Answer:
0.6
Step-by-step explanation:
What is the distance between point A(-9, 15) and B(26, -2)?
A. 38.91
B. 52
C. 39
D. 30.59
Answers
Answer:
A 38.91
Step-by-step explanation:
distance formula = d= √((x2-x1)²+(y2-y1)²)
How can you write the expressiHow can you write the expression 7(b – 2) in words?
A.
two subtracted from the quotient of seven divided by b
B.
seven added to difference of b minus two
C.
the quotient of seven divided by b minus two
D.
two subtracted from seven times b
E.
the product of seven and the difference of b minus two
on 7(b – 2) in words?
Answers
Answer:
E.
the product of seven and the difference of b minus two
Answer:
The correct answer would be E
Step-by-step explanation:
the product of seven and the difference of b minus two
I did the test and got it right.
What’s the area for each figure?
Answers
9514 1404 393
Answer:
52.5 in²52.5 in²76.97 in²total: 181.97 in²Step-by-step explanation:
1, 2. The area of each triangle is given by the formula ...
A = (1/2)bh . . . . . for base b and height h
The area of the given triangle is ...
A = (1/2)(7 in)(15 in) = 105/2 in² = 52.5 in²
Triangles 1 and 2 have the same dimensions, so have the same area.
Figure 1 area: 52.5 in²
Figure 2 area: 52.5 in²
__
3. The area of the semicircle is given by the formula ...
A = (1/2)πr² . . . . for a semicircle of radius r
This semicircle has a radius of 7 in, so an area of ...
A = (1/2)(3.1416)(7 in)² ≈ 76.97 in²
Figure 3 area: 76.97 in²
__
The total area is the sum of these:
52.5 in² + 52.5 in² +76.97 in² = 181.97 in²
Composite Figure area: 181.97 in²
_____
Comment on decimal digits
We cannot tell your rounding requirements. Here, we have rounded to the nearest hundredth. If you use the value 3.14 for pi, then your areas for the semicircle and composite figure will end in .93, not .97.
What expression is equivalent to 9(3x + 8)? *
Answers
Step-by-step explanation:
This is what it is equal to:
9×3x=27x
9×8=72
Therefore it will be:
[tex]27x + 72[/tex]
hope it helps!
Answer:
27x+72
Step-by-step explanation:
You have to use the distributive property to simplify the expression. Therefore, you have to multiply both terms inside the parentheses.
1. 9*3x=27x
2. 9*8=72
They could not be added together, as they are not like-terms. So, you just write it down as 27x+72.
3. There were 567 whos in Whoville. Each who ate 814 bowls of
stew. How many bowls of stew were eaten all together?
Answers
in a 2liter of bottle
87 centiliters of oil and 4.1 deciliters. how much more liquid needed to fill the bottle
Answers
Answer:
i also don't know
Step-by-step explanation:
If Amy has two apples and drops one, how many does she have then?
Answers
Answer:
one
Step-by-step explanation:
Answer:
one
Step-by-step explanation:
one
Becca joins a gym that charges a $150 starting fee, plus $50 per month she will quit before she’s payed the total of $1000, How many months can she work out at the gym?
Answers
Answer:
I believe it 13
Step-by-step explanation:
150+50= 200 then 100= two months so i added up till i got 13 weeks
John sells candy bars for 2$ each. How much will he make if he sells 10 bars
Answers
Each Candy Bar is $2, so if he sells 10, you just need to multiply,
10 * $2 = 20
So He'll make $20, selling 10 bars.
If he sells 50 bars then just multiply,
50 * $2 = 100
So He'll make $100 selling 50 bars.
Answer:
he will make $20 dallors
10×$2=20
someone help pls?!? ill give brainliest
Answers
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Similar Triangles.
Since here we can see that, similar triangles different by size of the side by 0.5 ration,
hence,the value of x = 0.5 times of MN
hence, x = 5/2
so the mixed fraction representation is given as,
[tex]2 \times \frac{1}{2} [/tex]
mixed fraction ration is 2(1/2)
===> hence option is B.)
Identify the scale factor if the length of a model train engine is 3 feet and the length of the engine itself is 24 feet
Answers
Answer:
jHshshshhzysjshhddbhxsbsshshsgshyskinsdisbandedsAnswer:
it should be 1 over 8
Step-by-step explanation:
Which is greater than 4? (a) 5, Which is the smallest? (a) -1, Combine terms: 12a + 26b -4b – 16a. (a) 4a + 22b, Simplify: (4 – 5) – (13 – 18 + 2). (a) -1, What is |-26|? (a) -26, Multiply: (x – 4)(x + 5) (a) x2 + 5x - 20, Factor: 5x2 – 15x – 20. (a) 5(x-4)(x+1), Factor: 3y(x – 3) -2(x – 3).
Answers
Michelle owns a hair salon. She has 150 customers per month. On average, the price Michelle
charges her customers is £20. The cost to Michelle of providing each hair cut is £4. Michelle
has other costs of £500 for things like advertising and rent,
HOW MUCH PROFIT DOES MICHELLE'S HAIR SALON MAKE IN 3 MONTHS?
Answers
because she on average makes 3000 dollars a month, making her monthly profit 750 but if she needs to spend each month a 500 dollar more then she is only making 250 a month multiply 250 by 3 and she made 750
Yesenia records the ages of 9 friends. A
box plot of her data set is shown.
Click above the number line to create a
dot plot that could represent Yesenia's
data set
Answers
Answer:
did not get the point of the sum
Plzzzzzzzzz somebody helppp me with this plzzz...!!!
Card sort rational numbers: order from least to greatest.
10, 15, 8, 23, 11, 5, 3, 22, 2, -1, -3, -7.7, -23, -22 3/8, -7, -8/3, -1/4, 9/8, -31/3, -6, -2.5, 0, -10, -5 5/6, -2, 1, -9, -4, -1.125, 1/4, 2.5, 8/3, 22 3/8, 31/3, 5 5/6, and 7.7
Answers
Answer:
3/8 < -31/3 < -7.7 < -7 < -6 < -3 < -8/3 < -2.5 < -1 < -1/4 < 0 < 9/8 < 2 < 3 < 5 < 8 < 10 < 11 < 15 < 22 < 23
Showing Work
Using the given inputs:
10 15 8 23 11 5 3 22 2 -1 -3 -7.7 -23 -22 3/8 -7 -8/3 -1/4 9/8 -31/3 -6 -2.5 0
Rewriting these inputs as decimals:
10 15 8 23 11 5 3 22 2 -1 -3 -7.7 -23 -22 3/8 -7 -8/3 -1/4 9/8 -31/3 -6 -2.5 0
10 15 8 23 11 5 3 22 2 -1 -3 -7.7 -23 -22.375 -7 -2.666667 -0.25 1.125 -10.333333 -6 -2.5 0
Sorting this table by decimal values in order from least to greatest:
-23 -22 3/8 -31/3 -7.7 -7 -6 -3 -8/3 -2.5 -1 -1/4 0 9/8 2 3 5 8 10 11 15 22 23
-23 < -22.375 < -10.333333 < -7.7 < -7 < -6 < -3 < -2.666667 < -2.5 < -1 < -0.25 < 0 < 1.125 < 2 < 3 < 5 < 8 < 10 < 11 < 15 < 22 < 23
Therefore, the sorted inputs in order from least to greatest is:
-23 < -22 3/8 < -31/3 < -7.7 < -7 < -6 < -3 < -8/3 < -2.5 < -1 < -1/4 < 0 < 9/8 < 2 < 3 < 5 < 8 < 10 < 11 < 15 < 22 < 23
b=2x^2(x-5) divided by 10x solve b if x=10
Answers
Answer:
answer is 10
Step-by-step explanation:
2x^2(x-5) /10x
x=10
so,
=2*10^2 (10-5) / 10*10
=2*100(10-5) /100
=200*5 / 100
=1000/100
=10
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.
The value of b when x = 10 is 10.
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,
b = 2x² (x - 5) ÷ 10x
When x = 10 find b.
Now,
b = (2x² (x - 5))/ 10x
Substitute x = 10
b = 2 x 10² ( 10 - 5) / 10 x 10
b = 200 x 5 / 100
b = 10
Thus,
The value of b when x = 10 is 10.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
WILL GIVE BRAINLIEST!
At the end of a five day business week, the General Stock Market had a net gain of −50 points. For this five day business week, find the average net gain in points per day. (Enter an exact number.)
Answers
Answer:
Average is -10 points per day
Step-by-step explanation:
Average gain = Net gain / Five day
Average gain = -50 / 5
A runner runs at an average speed of 9 m/s for 20 seconds
How far did the runner run in metres?
Answers
Answer:
The answer would be 180 meters.
Step-by-step explanation:
We are told the runner runs at 9 m/s for 20 seconds.
Since they run 9 meters per second, all we have to do is multiply 9 by 20, which will give us 180 meters.
9 x 20 = 180
Which of these graphs is the solution set for the equation y = -4?
Answers
Answer:
A
Step-by-step explanation:
A
Only line A is the line that represent y = -4
please help me!!
basic Radicals
Answers
Answer:
C)
Step-by-step explanation:
[tex]x = \frac{\sqrt{a}}{ \sqrt{b}} = \sqrt{\frac{a}{b}}\\\\[/tex]
Both sides take square
[tex]x^{2}= ( \sqrt{\frac{a}{b}})^{2}=\frac{a}{b}[/tex]
Round 149,640 to the nearest thousand
Answers
Answer:
150,000
Step-by-step explanation:
Hope this helps!!
Gloria rides a bike 8 miles in 40 minutes. Nanette rides a bike 5 miles in 30 minutes. Who bikes faster? Explain.
Answers
Answer:
Nanette
Step-by-step explanation:
Nanette.
Gloria's rate = 40/8 = 5mph
Nanette's rate = 30/5 = 6mph
Hope that helps!
Answer:
gloria
Step-by-step explanation:
40 divided by 8 = 5
30 divided by 5 =6
4(y – 3) = y – pls help me on this question
Answers
Answer:
y=4
Step-by-step explanation:
is it a, b, c, or d?
Answers
Answer:
The answer is B. 4,7.5,8
Step-by-step explanation:
Becouse A and C Both of them is Right-angled triangle and D is Obtuse triangle