Answers
The y-intercept of a function is where the graph crosses the y-axis, represented by 'b' in the equation y = mx + b. If a table doesn't show x as zero, one can use the line of best fit by inserting the median x and y values and the slope into the formula b = y - mx to calculate the y-intercept.
Explanation:The y-intercept of a continuous function can be understood as the point where the function's graph crosses the y-axis. It is typically represented by the variable b in the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept. In the context of the problem provided, if the student is examining a table of values representing a linear relationship, they should look for the value of y when x equals zero to determine the y-intercept directly.
However, if the data does not include an x-value of zero, they could use the line of best fit to calculate the y-intercept by plugging the median x and y values, along with the determined slope, into the formula b = y - mx, where y and x are the medians. For example, if given a slope (m) of 0.09, sum of median x values as 1264, and sum of median y values as 219.5, the y-intercept (b) would be calculated as b = 219.5 - 0.09(1264), which simplifies to approximately 35.25.
This calculation would be necessary if the student is working with data that does not directly provide a scenario where x = 0, such as exam scores or years in a dataset stating from year 1. It's important to note that in some real-world applications, a y-intercept may not be meaningful if the x-value cannot be zero, like in the case of time-based data where the year 0 does not exist.
The y-intercept of the continuous function is (-2). This means that the graph of the function intersects the y-axis at the point (0,-2).
The y-intercept of a continuous function represents the point where the graph of the function intersects the y-axis. In other words, it is the value of y when x is equal to zero.
Looking at the given points:
(0,-6), (-2, 0), (-6, 0), (0,-2), and 0
We can determine the y-intercepts by identifying the points where x is equal to zero.
Let's go through the points one by one:
1. (0,-6): This point does not have a y-intercept because the x-coordinate is not zero.
2. (-2, 0): This point also does not have a y-intercept because the x-coordinate is not zero.
3. (-6, 0): Again, this point does not have a y-intercept because the x-coordinate is not zero.
4. (0,-2): Finally, this point does have a y-intercept because the x-coordinate is zero. Therefore, the y-intercept is -2.
5. 0: This is not a point, but simply the value of zero. It does not have a y-intercept because it does not represent a point on the graph.
To summarize, the y-intercept of the continuous function is (-2). This means that the graph of the function intersects the y-axis at the point (0,-2).
Related Questions
Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. When she began her study, the frog population was estimated at 1,200. Which function represents the frig population after years?
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What is the area of this trapezoid? 50 in² 108 in² 126 in² 192 in² Trapezoid A B C D with parallel sides D C and A B. Points F and E are between D and C. F E B A form a rectangle with 4 right angles. D F is 2 inches, F E is 12 inches, E C is 2 inches, A B is 12 inches., and E B is 9 inches.
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Answer: 126 square inches
Explanation:
Trapezoid is a quadrilateral , shape with straight sides that has a pair of opposite sides parallel.
I already attached the image of trpazoid.
Now find the area of trapazoid.
We have a formula to find the area of trapezoid.
Area of trapezoid = [tex] \frac{a + b}{2} h [/tex]
where a & b are the parallel side ( here "a" represent the upper side and "b" represent the base)
h is the height of the trapezoid (always remember heigth is the perpendicular distance)
now a = 12 inches (AB)
b = 2 + 12 + 2 (CD = CE + EF + FD) = 16 inches
h = 9 (BE)
Now put all these values in the given formula
Area of trapezoid = [tex] \frac{12 + 16}{2} (9) [/tex]
= [tex] \frac{28*9}{2} [/tex]
= 14*9
Are of trapezoid = 126 sq in (3rd option is correct)
If there are 500 marbles in the bag, how many are most likely green?
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Jay borrows $8,000 at a rate of 1.9% interest per year. What is the amount due at the end of 6 years if the interest is compounded continuously?
$8,965.21
$10,027.21
$8,966.02
$25,014.15
Answers
Answer:
C
Step-by-step explanation:
The amount of data left on a cell phone plan is 6GB after 8 days. 1.5 GB is used every day. How much is available at the beginning of the cycle?
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8(1.5)+6
12+6
18 GB at the beginning of the cycle
Solve 3,4,5 for brainiest
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3. The questions asks for the amount of simple interest. The formula for simple interest is prt, where p = principal, r = rate, t = time. In this case, we are talking about 3 of them. 25,000 * 3 is 75,000. Now, let's multiply that number by 3% to find the amount of interest. 75,000 * 3% (0.03) is 2,250. Because this is only for one year, the number remains the same, so we don't have to multiply anything. There. The Branson family earns $2,250 in interest in one year. The answer is C.
4. Okay. For this inequality, we already have it set up. All we have to do is divide each side by 4 to isolate the x. 4x/4 cancels out. 22/4 is 5.5. There. x ≥ 5.5. The answer is B.
5. For this one, she hits the ball 22% of the time. To find out how many hits she will make, all you have to do is multiply the times at bat by 22%. In this case, she's at the bat 50 times. 50 * 22% (0.22) is 11. There. She will get about 11 hits. The answer is A.
Which of the following should be used to show relationships, organize information, and solve problems?
box-and-whisker plots
bar graphs
pictographs
Venn diagrams
Answers
Answer:
Venn Diagrams
Step-by-step explanation:
Venn diagram: a diagram that uses circles and a rectangle to show the relationships that exist between different sets
Venn diagrams are used to organize information and solve problems.
Seven-tenths of a number decreased by thirteen is equal to three-tenths the number increased by 13. Find the number.
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[tex]\sf\dfrac{7}{10}x-13=\dfrac{3}{10}x+13[/tex]
Now solve for 'x'. Subtract 3/10x to both sides:
[tex]\sf\dfrac{4}{10}x-13=13[/tex]
Add 13 to both sides:
[tex]\sf\dfrac{4}{10}x=26[/tex]
Divide 4/10 to both sides or multiply by its reciprocal, 10/4:
[tex]\sf x=\boxed{\sf 65}[/tex]
The two triangle-shaped gardens are congruent. Find all of the missing side lengths and angle measures. Show any necessary work.
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y=38 degrees
x=90 degrees
w=180-128= 52 degrees
u=6.2yd
v=7.9yd
Hope this was helpful! Mark brainiest if you can
The value of the variables u, v, w, y, and z will be 6.2 yards, 7.9 yards, 52°, 38°, and 10 yards, respectively.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The two triangle-shaped gardens are congruent. Then the corresponding side will be equal. Then we have
u = 6.2 yards
v = 7.9 yards
y = 38°
w + y = 90°
w + 38° = 90°
w = 52°
z = 10 yards
The value of the variables u, v, w, y, and z will be 6.2 yards, 7.9 yards, 52°, 38°, and 10 yards, respectively.
More about the triangle link is given below.
https://brainly.com/question/25813512
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There are 16 students in the school play. One fourth of the students are wearing yellow costumes. Six students are wearing purple costumes. The remaining students are wearing orange costumes. How many students wearing orange costumes?
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1/4 (4 students)--> Yellow Costumes
6 students--> Purple Costumes
(?) students--> Orange Costumes.
We know that one fourth of the students is 4 students by doing simple division.
6 students are wearing purple costumes.
Add these together.
4+6 = 10
The remaining students are wearing orange costumes.
There are 6 students remaining.
Therefore, 6 students are wearing orange costumes.
Answer: 6 Students
6 wearing purple
6 wearing orange
6 plus 4= 10 plus 6= 16
hope this helps :)
How many eighth-size parts do you need to model 3/4
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Sam finds that the area of a square measured in yards is 16. How could the this measurement be written? Check all that apply.
16 yards
16 square yards
16 yards2
16 sq. yards
16 squares
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16 yards2
16 sq. yards
Answer:
The answer is: B,C,D
Step-by-step explanation:
16 square yards
16 yards2
16 sq. yards
Ashley recently opened a store that sells only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes one person 222 minutes to prepare one bag. How many hours will it take to prepare 900900900 bags of samples if Ashley and 555 of her friends do the work?
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It takes, 2, minutes to prepare one bag. If Ashley works alone, it will take her 900 bags× 2 minutes each =1800 minutes to prepare the bags.
Since there are 60 minutes in an hour, that's the same as 1800/60 which equals to 30 hours. If there are 6 people sharing Ashley's work Ashley + 5 friends the work will be finished 6 times as fast.
A team of 6 people can finish the job 30/6 which equals 5
Jerry mixes the letter F P M M M D P and J thoroughly. Without looking, Amanda draws one letter. Expressed as a fraction, decimal, and percentage, what is the probability that j will not be the letter Amanda selects
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so 7/8 probability of not picking the J
Fraction: 7/8
decimal: 0.875
percentage: 87.5%
The Probability of that 'j' will not be selected by Amanda in Fraction is [tex]\frac{7}{8}[/tex]
The Probability of that 'j' will not be selected by Amanda in Decimal is 0.875
The Probability of that 'j' will not be selected by Amanda in Percentage is 87.5%
What is Probability ?
Probability is a "Possibility, that deals with a Occurrence of Random event".
According to the question,
Sample Space n(s) = 8
Number of Favourable Events (Amanda will not be Select 'j' letter) = 7.
Formula to find Probability of an event = [tex]\frac{Number of Favourable Events }{Total number of events}[/tex]
=[tex]\frac{7}{8}[/tex]
The Probability of Amanda will not be Select 'j' letter = [tex]\frac{7}{8}[/tex]
Hence,
In Fraction, the Probability of Amanda will not be Select 'j' letter =[tex]\frac{7}{8}[/tex]
In Decimal, the Probability of Amanda will not be Select 'j' letter = 0.875
In Percentage, the cof Amanda will not be Select 'j' letter
= [tex]\frac{7}{8}[/tex] × 100 = 87.5%.
To learn more about Probability here
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The movie theater received a shipment of candy boxes in a carton that has a volume of about 64,000 cubic inches. Each candy box is 6 inches by 5 inches by 1/2 inch. The carton is completely full. About how many candy boxes are in the carton? About 10,000 About 4,000 About 1,000 About 2,000
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what is the gcf of b3+5b2-20b
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Is 3/8 equal to 3/16 why or why not
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if you divide 3 and 8
3/8 = 0.375
if you divide 3 and 16
3/16 = 0.1875
0.375 ≠ 0.1875
3/8 does not equal 3/16
hope this helps
Helen used 1/4 of her savings for her first year of college. 3/8 of that money was spent on her housing and meals. Which equation shows the fraction of her total savings that was spent on her housing and meals?
Answers
just multiply the fractions
Answer:
3/32
Step-by-step explanation:
Which of the following measuring instruments helps to measure large curved surfaces conveniently? A. Spherometer B. Calipers C. Measuring tape D. Ruler
Answers
your answer is going to be c
hope this helps
Kyle exercised hours on Wednesday, hours on Thursday, and hours Friday. How many hours did Kyle exercise in the three days? A. 11 1/26 B. 8 11/16 C. 8 3/26 D. 4 3/16
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B. 8 11/16 hr
a rectangular prism has a length of 15 1/4 centimeters, a width of 8 centimeters, and a height of 2 1/4 centimeters. Enter the volume of the prism as a mixed number in simplest form in the box.
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Hope this helps!
l = 15.25 cm
w = 8 cm
h = 2.25 cm
d = 17.3674 cm
S = 348.625 cm²
V = 274.5 cm³ = 274 1/2 cm³
HELP ASAP PLEASE WILL GIVE BRAINIEST
Answers
5 pounds...........................................X ounces
x*1=5*16
is choice A
1/16=5/x
Hannah is drawing a map using 1/2 inch=20 miles
The towns of denton and Harper are 56 miles apart. what is the distance in inches between the two cities on the map?
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You have 1/2inch=20miles
You cross multiply 1/2inch by 56 and x inches by 20 miles to get 20x=28 you divide to get your answer.
What is the measure of ∠DEG? A) 133° B) 103° C) 77° D) 67°
Answers
A common computer programming rule is that names of variables must be between one and eight characters long. The first character can be any of the 26 letters, while successive characters can be any of the 26 letters or any of the 10 digits. For example, allowable variable names include A, BB, and M3477K. How many different variable names are possible? (Ignore the difference between uppercase and lowercase letters.)
Answers
In our case it does not depend and we have combinations.
One character name:
Number of combinations = 26
Two characters name:
Number of combinations = 26*36
Three characters name:
Number of combinations = 26*36*36
Four characters name:
Number of combinations = 26*36*36*36
Five characters name:
Number of combinations = 26*36*36*36*36
Six characters name:
Number of combinations = 26*36*36*36*36*36
Seven characters name:
Number of combinations = 26*36*36*36*36*36*36
Eight characters name:
Number of combinations = 26*36*36*36*36*36*36*36
To find out how many different variable names are possible we need to add these numbers:
26 + 26*36 + 26*36*36 + 26*36*36*36 + 26*36*36*36*36 + 26*36*36*36*36*36 + 26*36*36*36*36*36*36 + 26*36*36*36*36*36*36*36 =
= 26 + 936 + 33696 + 1213056 + 43670016 + 1572120576 + 56596340736 + 2037468266496 =
= 2095684645538
The total number of different variable names possible is approximately 2,096,883,896,418.
To calculate the number of possible variable names, we need to consider the constraints on the variable names:
1. The first character must be one of the 26 letters.
2. Each subsequent character can be either one of the 26 letters or one of the 10 digits, totaling 36 possible characters (26 letters + 10 digits).
We need to consider variable names of lengths from 1 to 8 characters. We'll calculate the number of possible variable names for each length and then sum them.
1. For a 1-character name:
- There are 26 possible names (one for each letter).
2. For a 2-character name:
- The first character has 26 options.
- The second character has 36 options.
- Total for 2 characters: [tex]\(26 \times 36\)[/tex].
3. For a 3-character name:
- The first character has 26 options.
- Each of the second and third characters has 36 options.
- Total for 3 characters: [tex]\(26 \times 36 \times 36\)[/tex].
4. For a 4-character name:
- The first character has 26 options.
- Each of the second, third, and fourth characters has 36 options.
- Total for 4 characters: [tex]\(26 \times 36 \times 36 \times 36\)[/tex].
5. For a 5-character name:
- The first character has 26 options.
- Each of the second, third, fourth, and fifth characters has 36 options.
- Total for 5 characters: [tex]\(26 \times 36 \times 36 \times 36 \times 36\)[/tex].
6. For a 6-character name:
- The first character has 26 options.
- Each of the second, third, fourth, fifth, and sixth characters has 36 options.
- Total for 6 characters: [tex]\(26 \times 36 \times 36 \times 36 \times 36 \times 36\)[/tex].
7. For a 7-character name:
- The first character has 26 options.
- Each of the second, third, fourth, fifth, sixth, and seventh characters has 36 options.
- Total for 7 characters: [tex]\(26 \times 36 \times 36 \times 36 \times 36 \times 36 \times 36\)[/tex].
8. For an 8-character name:
- The first character has 26 options.
- Each of the second, third, fourth, fifth, sixth, seventh, and eighth characters has 36 options.
- Total for 8 characters: [tex]\(26 \times 36 \times 36 \times 36 \times 36 \times 36 \times 36 \times 36\)[/tex].
Now we sum these values to get the total number of possible variable names:
[tex]\[\begin{aligned} \text{Total} = & \ 26 + 26 \times 36 + 26 \times 36^2 + 26 \times 36^3 \\ & + 26 \times 36^4 + 26 \times 36^5 + 26 \times 36^6 + 26 \times 36^7\end{aligned}\][/tex]
Calculating each term separately and summing them:
[tex]\[\begin{aligned} & 26 = 26 \\ & 26 \times 36 = 936 \\ & 26 \times 36^2 = 33,696 \\ & 26 \times 36^3 = 1,213,056 \\ & 26 \times 36^4 = 43,669,056 \\ & 26 \times 36^5 = 1,572,085,056 \\ & 26 \times 36^6 = 56,595,062,016 \\ & 26 \times 36^7 = 2,038,722,232,576\end{aligned}\][/tex]
Summing these:
[tex]\[\begin{aligned} \text{Total} = & 26 + 936 + 33,696 + 1,213,056 + 43,669,056 \\ & + 1,572,085,056 + 56,595,062,016 + 2,038,722,232,576 \\ \approx & 2,096,883,896,418\end{aligned}\][/tex]
Eddie has m muffins. He splits them evenly among 9 boxes. Write an expression that shows how many muffins are in each box.
Answers
To find out how many muffins are in each box, divide the total number of muffins by the number of boxes. There would be 5 muffins in each box if Eddie has a total of 45 muffins.
Explanation:To write an expression that shows how many muffins are in each box, we can divide the total number of muffins by the number of boxes. Let's call the total number of muffins 'm' and the number of boxes '9'. The expression would be:
m ÷ 9
For example, if Eddie has 45 muffins, substituting 'm' with 45 in the expression would give us:
45 ÷ 9 = 5
Therefore, there would be 5 muffins in each box if Eddie has a total of 45 muffins.
On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−6, 2) and T(1, 2). What is the length of Side RT of the polygon?
Answers
(-6)-1 because the y-axis value is the same you don't need to worry about it.
Your answer is "7 units."
Answer:
The length of Side RT of the polygon is [tex]7\ units[/tex]
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
we have
[tex]R(-6,2)\\T(1,2)[/tex]
substitute the values
[tex]d=\sqrt{(2-2)^{2}+(1+6)^{2}}[/tex]
[tex]d=\sqrt{(0)^{2}+(7)^{2}}[/tex]
[tex]dRT=7\ units[/tex]
Help me please I beg u
Answers
(4x^2+2y)(3x+y^2)
12x^3+4x^3y^2+6xy+2y^3
Now find the 'xy' term. It is 6xy, so what is the coefficient in 6xy?
6 is the answer.
Best of luck!
EXPERTS AND ABOVE ONLY
Need help for my friend for his 6th grade math. I have my own homework to work on right now, but i really want him to be able to get help.
Answers
8 - .5t ≥ 0.
8 ≥ .5t
t ≤ 16
D.
2. 4(2x-1) = 2x + 35
8x - 4 = 2x + 35
6x = 39
x = 6.5
H.
3. c = .8(x-15) = .8x-12
A.
4. m = number of marble cupcakes
s = number of strawberry shortcake cupcakes
6m + 8.5s = 391
m = 1/2s
6(.5s)+8.5s = 391
11.5s = 391
s = 34
m = 17
F.
5. B
6. Use substitution
2x + 3x = 10
5x = 10
x = 2
7. (sorry I'm not sure!)
8. G
9. L = number of balls
B = number of bats
L + B = 100
B = 100 - L
4.5L+20B = 822
4.5L + 20(100-L) = 822
4.5L -20L + 2000 = 822
1178 = 15.5L
L = 76
10. J
How do you simplify 3(5 - 3x + 10y - 6z)
Answers
15 - 9x + 30y - 18z
This would be the most simplified form.
Hope this helps!
15-9x+30y-18z