Three classmates want to know when a tennis ball and a balloon will reach the same vertical height above the ground. David hits a tennis ball with his racquet and Tyler releases a balloon at the same time that Samantha starts a timer. Let x represent the time, in seconds, since the timer starts. The following graph shows the vertical height of the tennis ball and balloon, in feet. Which of the statements best describes the solutions to the system of equations?
There is one possible solution, but it is not viable.
There are two possible solutions, and both solutions are viable.
There are two possible solutions, but only one of the solutions is viable.
There is one possible solution, and it is viable.
Answers
The statement that best describes the solutions to the given system of equations - There are two possible solutions, but only one of the solutions is viable.
What is a solution?"It is a point or set of points (x, y) that satisfies all the constraints of the given problem."
What is is viable solution?"It is a solution that makes sense in context as well as mathematically. "
What is system of equations?"It is a set of equations for which we find a common solution."
For given question,
Three classmates want to know when a tennis ball and a balloon will reach the same vertical height above the ground.
Given that, x represents the time, in seconds, since the timer starts.
The graph shows the vertical height of the tennis ball and balloon, in feet.
The solution to the system of equations are the points at which the graphs to the system of equations intersect each other.
From the given graph we can observe that,
the graphs intersect at points having the x values near x = 1.2 and x = -3.2 This means, there are two possible solutions.
But we know that the negative value of x (time) is not viable.
Therefore, the statement that best describes the solutions to the given system of equations - There are two possible solutions, but only one of the solutions is viable.
Learn more about system of equations here:
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Related Questions
After Teotihuacan and the Zapotec collapsed, who rose to power?
A. Toltec
B. Maya
C. Aztec
D. Chavin
Answers
Answer:
A. Toltec
Step-by-step explanation:
Historical records show that after the collapse of the Teotihuacan and the Zapotec empire, the Toltec empire rose to power and it became the dominant power in Mexico.
Find value of f(4) its on a graph so
Answers
Write an expression to show the total amount in Trey's savings account after m months
Answers
Answer:
75 +25m
Step-by-step explanation:
You should add the starting amount which is 75 to the 25m and plus I got it right . lol
Which of the m-values satisfy the following inequality?
5m +1<4
Choose all answers that apply:
A.M=0
B.M=1
C.M=2
Answers
Answer:
a m=0
Step-by-step explanation:
5(0)+1 = 0+1 = 1
1<4
hope this helps
blopie help me :(((((
Answers
Step-by-step explanation:
first you have to see the triangle BCD
then hypotheses and perpendicular are given so you have to find base
after finding base. In rectangle ABCD DC is length and BC is breadth so now you can find area by using the formula A = l×b
3838383837373838382828283837373838382929293837474737373838382882828282822828822828282828823828282999 + 19192393839383929393939339393939 = (bonus points awarded if correct)
Answers
3.8383838e+99 THATS EZ MAN!
A lighthouse is located on an island 200 feet from the shore of the mainland as
shown. If x=0.29 rad, what is d?
Answers
Answer: Approximately d = 208.72
============================================================
Work Shown:
Make sure your calculator is in radian mode
A quick way to check is to compute cos(pi) and you should get -1
cos(angle) = adjacent/hypotenuse
cos(x) = 200/d
cos(0.29) = 200/d
d*cos(0.29) = 200
d = 200/cos(0.29)
d = 208.715135166392 which is approximate
d = 208.72
I rounded to two decimal places since x is rounded in that manner as well. Round however else you need if your teacher instructs.
help me please!
I need help
Answers
Answer:
-7
Step-by-step explanation:
-1 x -1 = 1
4 x -2 = -8
1 + (-8) = -7
Divide the following problem:
4/5 ÷ 37
Please give me a answer that helps.
Answers
Answer:
4/185 or 0.0216...
Step-by-step explanation:
Cheldelin Middle School has 12 doors to enter or leave the building. In how many ways is it possible to enter the building by one door and leave the building by a different door?
Answers
Answer:
24 ways
Explanation:
How can angle relationship to solve problems
Answers
Answer:
angle can't solve your problem u hve to understand each other
Estimate each product 5.8 x 4 =
Answers
_________
23.2
If estimated to the nearest TENTH then is 23!
FUN FACT:
__________
Some fungi create zombies, then control their minds
I hope this help! And have a • AMAZING• day :3
WILL MARK BRAINLIEST FOR BEST ANSWER! John has a loyalty card good for a 8% discount at his local grocery store. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $7? Round to the nearest cent.
Answers
Answer:
$6.44
Step-by-step explanation:
100% - 8% = 92%
92% = 0.92
7 x 0.92 - $6.44
Cat behavior: A report stated that the average number of times a cat returns to it's good bowl during the day is 37. Assuming the variable is normally distributed with a standard deviation of 3, what is the probability that a cat would return to it's dish between 34 and 39 times a day. Use the graphing calculator. Round the answer to four decimal places.
P (34<X<39) =?
Answers
Answer:
P (34<X<39) = 0.5899
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 37, \sigma = 3[/tex]
What is the probability that a cat would return to it's dish between 34 and 39 times a day.
This is the pvalue of Z when X = 39 subtracted by the pvalue of Z when X = 34. So
X = 39
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{39 - 37}{3}[/tex]
[tex]Z = 0.67[/tex]
[tex]Z = 0.67[/tex] has a pvalue of 0.7486
X = 34
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{34 - 37}{3}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
0.7486 - 0.1587 = 0.5899
So
P (34<X<39) = 0.5899
What is the area of the shaded region? Use 3.14 for and round your answer to the nearest
tenth.
50.2 cm2
12.6 cm2
6 cm
78.5 cm
10 cm
201.0 cm2
Answers
Arrón had $60 and spent $36 on a new video game. Brynn had $77 and bought a chemistry set. Afterward, Arrón and Brynn had the same amount of money left over. Which equation can be used to find b, the cost of Brynn's chemistry set?
Answers
Answer:
24 = 77 - c
Step-by-step explanation:
Since both started off with an initial amount of money and then made a purchase to end up with the same amount of money this can be represented as the following where x is the amount of money left over and c is the cost of the chemistry set.
60 - 36 = x
77 - c = x
Since both are equal to x we can simply make both equations equal to one another.
60 - 36 = 77 - c ... simplify it by subtracting 60 - 36
24 = 77 - c
We can now solve this equation
24 = 77 - c ... subtract 77 from both sides
-53 = -c ... the negatives cancel out
53 = c
I75,986
1a. Write the number.
seventy-five thousand ni
1b. Write in word form.
1c. Write in expanded form.
1d. Write the value of the first underlined number.
1e. Write the value of the second underlined number
1f. x10
1g. x10
1h. x10
Answers
Step-by-step explanation:
1a. 75,986
1b. Seventy five thousand nine hundred eighty six.
1c. 75,986=this one
[tex]7 \times10000 + 5 \times 1000 + 9 \times 100 + 8 \times 10 + 6 \times 1[/tex]
1d. 70,000
1e 80
I did not understand the rest. Hope it's useful.....
Answer:
heres that plot you needed for that one glasses of water thing
At what coordinate would you place point B so that it is 1/4 of the distance from A to C?
Answers
Answer:
-3
Step-by-step explanation:
-3 = 1/4 distance to c
-1 = 1/2 distance to c
1 = 3/4 distance to c
Write the equation below in standard form.
[tex] \frac{8}{3}y = \frac{5}{6}x - 2 [/tex]
Answers
Apples are on sale at four different grocery stores. Which store offers the
lowest unit rate for apples, in dollars per pound?
$4.50
.McCoyS Dounds
$
• Greenland :
pound
$3.00
2 pounds
Eat Smart
• Mother Nature: S0.95/pound
OA. McCoy's
OB. Eat Smart
OC. Mother Nature
OD. Greenland
Answers
Full question attached
Answer:
Greenland offers the lowest unit rate, dollars per pound
Step-by-step explanation:
For McCoy, $4.5 = 5 pounds
Therefore $1 = 5pounds/4.5= 1.11 pounds
1 pound= 1/1.11= $0.9009
For Eat smart
$3=2 pounds
Therefore $1=2pounds/3 = 0.667 pounds
1 pound = 1/0.667= $1.499
For Greenland
$1/5= 1/4 pounds
$0.2=0.25 pounds
$1= 1.25 pounds
Therefore 1 pound= 1/1.25= $0.8
For Mother Nature
$0.95= 1 pound
Therefore Greenland offers the lowest unit rate at $0.8 per pound
7. Which equation best represents the relationship
between x and y in the graph?
1
Answer:
A. y = 4x + 2
B. y =1/4x + 2
c. y = 2x + 4
D. y =3x + 2
Please help I give brainlests
Answers
Answer:
B. y=1/4x+2
Step-by-step explanation:
Equation of a Line
We are given a graph and we must select which of the proposed equations corresponds with the graph.
Let's identify two clear points in the graph. They are (0,2) and (4,3)
Substituting x=0 in the correct equation should give y=2. All the equations but C. give y=2 when x=0
Now when x=4, y should be 3.
Substituting in the each equation:
y=4x+2 = 4*4+2=18
y=1/4(4)+2=3
y=3x+2=3*4+2=14
The only equation that passes through both points is:
B. y=1/4x+2
Answer:
The equation best represents the relationship between x and y in the graph is:
y =1/4x + 2
Hence, option B is correct.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-intercept
Taking two points from the given graph
(0, 2)(4, 3)Determining the slope between (0, 2) and (4, 3)
(x₁, y₁) = (0, 2) (x₂, y₂) = (4, 3)Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [3 - 2] / [4 - 0]
= 1 / 4
Thus, the slope of the line = m = 1/4
We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 2
Thus, the y-intercept b = 2
now substituting m = 1/4 and b = 2
y = mx+b
y =1/4x + 2
Therefore, the equation best represents the relationship between x and y in the graph is:
y =1/4x + 2
Hence, option B is correct.
Company X has $128,000 in a saving account that pays 6% interest per year. How much interest will earn at the end of 1/2 year?
Answers
Answer:
3% interest
$171392
Step-by-step explanation:
128000 x 0.03 = 171392
4992 + 128000 = 171392
Hope this helped!
It’ll earn 3840 and have a total amount of 131,840 in the account
What is 2.97239915 rounded to the nearest ten?
Answers
Answer:
3.0000
Step-by-step explanation:
Answer:
i'm assuming you mean tenth so 3
Step-by-step explanation:
you start by looking at just 2.97, the seven will round the 9 up to a ten so you will add one to the 2 and end up with 3 as your answer
the first 500naira of a man's income is tax free. if he pays tax on the rest at the rate of 10kobo on every naira,how much tax will he pay if he earns 2400naira as income?
Answers
Answer:
Tax on 2400 naira = 190 kobo
Step-by-step explanation:
Given that:
The first 500 naira is tax free.
Amount earned = 2400 naira
Amount to be taxed = 2400 - 500 = 1900 naira
Payable tax = 10 kobo on every naira
1 naira = 10 kobo
1900 naira = [tex]\frac{1900*10}{100}[/tex]
1900 naira = 190 kobo
Hence,
Tax on 2400 naira = 190 kobo
What is the y and x intercepts .
Answers
Answer:
y-intercept: (0, -5)
x-intercepts: (-5, 0) , (1, 0)
At the deli counter Sandy bought 1 3/4 pounds of cheese for 4$ per pound and 2 1/4 pounds of turkey for 6$ per pound. How much did Sandy spend at the deli counter?
Answers
Answer:
10 dollars
Step-by-step explanation:
4 + 6 = 10 which mean 10 dollars spent
John can run 3 1/2 miles in 3/4 hours. What is his average speed in miles per hour?
Answers
I will give brainiest to whoever answers correctly !!
Please do not steal my points I'm tired of it put a legit answer or leave!! I will give brainiest to whoever answers correctly!!
Answers
In the complex number 4 + 2i, 4 is the
Answers
Answer:
4 is the real number in that complex number
Marissa used the set of ordered pairs below to graph a relation.
{(3, 4), (2, 3), (2,0), (4, 2), (3, 6)}
What is the domain of the relations?
Question 6 options:
{0, 2, 3, 4, 6}
{2, 3, 4}
{0, 2, 3, 4}
{0, 3, 6}
Answers
0, 2, 3, 4, 6
my answer has to be 20 questions long
what's popping?
