Select the equation whose graph has a y-intercept with a positive y-coordinate. o y = 5x²-3x - 5 O y = x2 - 10x O y = x2 +3x-2 y = (x + 1)(x + 2)
Answers
The y-intercept of any function is the point where it intersects with the y-axis. At this point the x-coordinate is always zero.
To determine which equations have a positive y-intercept you have to determine the corresponding value for each one of them.
As mentioned above, the x-coordinate of the y-intercept is always zero, so to determine the y-coordinate of the point you have to replace each equation with x=0 and calculate the value of y:
First equation
\(\begin{gathered} y=5x^2-3x-5 \\ y=5(0)^2-3\cdot0-5 \\ y=-5 \end{gathered}\)The y-intercept of this equation is (0,-5) and the y-coordinate is negative.
Second equation
\(\begin{gathered} y=x^2-10x \\ y=0^2-10\cdot0 \\ y=0 \end{gathered}\)The y-intercept of this equation is the origin (0,0), zero is neither positive nor negative, so you can't say that the y-coordinate of the y-intercept of this equation is positive.
Third equation
\(\begin{gathered} y=x^2+3x-2 \\ y=0^2+3\cdot0-2 \\ y=-2 \end{gathered}\)The y-intercept of this function is (0,-2) and its y-coordinate is -2 which is not positive.
Fourth equation
To determine the y-intercept of this equation first you have to solve the square of the binomial. For this you have to distribute the multiplication, which means, to multiply each term on the first parentheses by each term on the second parentheses:
\(\begin{gathered} y=(x+1)(x+2) \\ y=x\cdot x+x\cdot2+1\cdot x+1\cdot2 \\ y=x^2+2x+x+2 \end{gathered}\)And simplify the like terms to determine the quadratic expression
\(y=x^2+3x+2\)Now we can replace the expression with x=0 to determine the y-coordinate of the y-intercept
\(\begin{gathered} y=0^2+3\cdot0+2 \\ y=2 \end{gathered}\)The y-intercept of this equation is (0,2) and has a positive y-coordinate.
So the only equation whose graph has a y-intercept with a positive y-coordinate is
y=(x+1)(x+2)
Related Questions
How can you find all the factors (or divisors) of a number?
Answers
Answer:
Step-by-step explanation:
Find all the missing elements:
B
a
C = 120°
b = 5
c = 11
A
b C
A = 36.8° B = 23.2° = [?]
Round to the nearest tenth.
Enter
![Find all the missing elements:BaC = 120b = 5c = 11Ab CA = 36.8 B = 23.2 = [?]Round to the nearest tenth.Enter](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/5UK4pz5Dq82IXWigCqKrwJJkf1kEmpbU.png)
Answers
Answer: a= 7.6
Step-by-step explanation:
just moving the correct answer from a comment to an actual submission
Answer:
The answer for Acellus people is C=7.6
Step-by-step explanation:
Alondra is asked about her age. She answers as follows. "My age is 6 more than four times the age of my son." How old is her son if Alondra is 46 years old?
Answers
Answer:
10 years old
Step-by-step explanation:
lets break it down:
6 more means +6
four times means *4
so if her son is x years old, she is 4x+6
since we know she's 46, we know that 4x+6=46
now we just solve the equation
4x+6=46
-6 on both sides
4x=40
/4 on both sides
x=10
Q.1
According to the Department of Food and Nutrition, the recommended daily allowance (RDA) of calcium for adults is 800 mg. A nutritionist thinks that people with income below poverty level average less than RDA of 800 mg. intakes of calcium were determined for a sample of 40 people with income below poverty level. The results are obtained in the following frequency distribution. Compute the quartiles.
Intake (mg) Frequency
101-200 1
201-300 1
301-400 9
401-500 13
501-600 10
601-700 6
Answers
The quartiles of the distribution are given as follows:
First quartile: 350.5 mg.Second quartile: 450.5 mg.Third quartile: 550.5 mg.How to obtain the quartiles of the distribution?The sample size of the distribution is of:
n = 40.
The first quartile is the value that is greater than 25% of the distribution, hence it is the value at the position which is 25% of the sample size, hence:
Position: 0.25 x 40 = 10.Value: 350.5 mg -> mid-point of the bounds of 301 and 400.The second quartile is the value that is greater than 50% of the distribution, hence it is the value at the position which is 50% of the sample size, hence:
Position: 0.50 x 40 = 20.Value: 450.5 mg.The third quartile is the value that is greater than 75% of the distribution, hence it is the value at the position which is 75% of the sample size, hence:
Position: 0.75 x 40 = 30.Value: 550.5 mg.More can be learned about the quartiles of a distribution at https://brainly.com/question/9265525
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Increase £80 by 15% ok
Answers
Answer:
£92
Step-by-step explanation:
£80+£8+£4=£92 quite easy
Please review the following sets of sentences and select the one that contains filler.
A. This Star Wars LEGO set has 305 pieces and includes two minifigures and two droids you can battle against each other.
B. Your kids will love the LEGO Star Wars Republic Fighter Tank and spend hours building it to completion.
C. The set features an opening top hatch with a cockpit where you can place the included Clone Trooper Gunner figure to ready for battle.
D. This set also includes heroes like Obi-Wan Kenobi and Anakin Skywalker, both of whom come fully-equipped with their signature lightsabers and Jedi robes.
Answers
The sentence that contains filler is: D. This set also includes heroes like Obi-Wan Kenobi and Anakin Skywalker, both of whom come fully-equipped with their signature lightsabers and Jedi robes. Option D
In this sentence, the phrase "also includes heroes like Obi-Wan Kenobi and Anakin Skywalker" acts as a filler. The main purpose of this phrase is to provide additional information about the set and highlight the inclusion of popular characters from the Star Wars franchise. It doesn't directly contribute to the core information about the set's features or components.
The other sentences (A, B, and C) provide specific details and descriptions about the LEGO set, such as the number of pieces, minifigures, droids, and features like the opening top hatch and cockpit. They directly convey important information about the set itself without any filler or additional unnecessary information.
In marketing or promotional contexts, fillers are often used to enhance the appeal of a product or create excitement by mentioning well-known or desirable elements that may not be directly relevant to the core features. The filler in sentence D serves to attract fans of Obi-Wan Kenobi and Anakin Skywalker by emphasizing their presence in the set and the inclusion of their iconic weapons and attire.
Option D
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Answer:D
Step-by-step explanation:
The ratio of berries to oranges is 10:1. If there are 9 oranges, how many berries are there?
Answers
Answer:
90 berries
Step-by-step explanation:
Find the value of y.
Answers
The value of y is 4√3
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.
Also , the ratio of corresponding sides of similar triangles are equal.
There are two triangles that are similar
Therefore;
y /16 = 4/y
y² = 48
y = √48
y = √16 × √ 3
y = 4√3
Therefore, the value of y is 4√3
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A dresser has 5 shelves. One shelf has x shirts and four shelves have y shirts. What is the total number of shirts in the dresser? A) 4y + × B) 3 - y C) x + 2y D) (x+x) - y
Answers
The total number of shirts in the dresser is 4y + ×. The correct option is A
To calculate the total number of shirts in the dresserWe need to add up the number of shirts on each shelf.
The first shelf's shirt count is indicated with the number x.
y indicates how many shirts are present on each of the four remaining shelves.
We may add up the shirts on each rack to determine the overall number of shirts:
Total = x + y + y + y + y
Simplifying the expression, we have:
Total = x + 4y
Therefore, The total number of shirts in the dresser is 4y + ×.
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suppose v varies directly as g, and v= 36 when g = 4. find v when g=11
Answers
Answer:
v = 99 when g = 11
Step-by-step explanation:
Set this up as an equation
36/4 = v/11
Cross multiply
36 × 11 = 4 × v
396 = 4v
Divide both sides by 4 to isolate variable v
396 ÷ 4 = 4v ÷ 4
99 = 1v
99 = v
True or False, repeated decimals are all Rational Numbers!
A. True
B. False
Answers
Answer:
The answer is A: True
Step-by-step explanation:
Repeating decimals are rational numbers because there is only one number that's repeating over and over again.
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Is the relation shown in
the table a function?
Explain.
Answers
The inputs 4 and 8 have more than one out, the relation is not a function.
Is the relation shown in the table a function?A relation is said to be a function if one input is mapped to one output.
that is, each x-value can only have one y-value.
From the table;
Input, output
4 ----- 1
8 ----- 3
4 ------5
8 ----- 4
4 is an input, it has an output of 1.
4 appeared again as input but this time has an output of 5.
This means one input has more than one output.
Also, 8 is an input, it has an output of 3.
8 appeared again as input but this time has an output of 4.
Which also means one input has more than one output.
Therefore, the relation is not a function.
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4. Suppose y varies directly with x, and y= 24 when x = 8. What is the value of y when x = 10?
A)10
B)30
C)80
D)240
Answers
Answer:
"B. 30" Is the correct answer.
Step-by-step explanation:
Just took the quiz, have a wonderful day.
Quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation. If TY = 2, find RM.
Answers
Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.
Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.
A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.
Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.
Therefore, RM = 2.
By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.
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r= 9.7 m
Calculate the diameter of the circle
Answers
Answer:
19.4
Step-by-step explanation:
diameter= r2
9.7x2=19.4
Answer:
d=19.4m
Step-by-step explanation:
Pilar has 40 shells in her collection. She goes to the beach. She collects 6 more shells in the morning and 3 more shells in the afternoon. What is the percent change in Pilar's shell collection from the beginning of the day to the end? Show your work.
Answers
The percent change in Pilar's shell collection from the beginning of the day to the end is, 22.5%
What is the percentage?Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".
Given that,
Pilar has 40 shells in her collection.
She collects 6 more shells in the morning and 3 more shells in the afternoon.
The percent change in Pilar's shell collection from the beginning of the day to the end = ?
At the beginning of the day, Pilar has 40 shells.
In the morning, she collects 6 more shells, bringing her total to
= 40 + 6
= 46 shells.
Then, in the afternoon, she collects 3 more shells, bringing her total to
=46 + 3
= 49 shells.
To find the percent change in Pilar's shell collection from the beginning of the day to the end, we can use the formula:
percent change = (final value - initial value) / initial value * 100%
Plugging in the values we have:
percent change = (49 - 40) / 40 x 100%
percent change = 9 / 40 x 100%
percent change = 22.5%
Therefore, there is a 22.5% increase in Pilar's shell collection from the beginning of the day to the end.
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Twenty eight concrete blocks were sampled and tested for crushing strength in order to estimate the proportion that were sufficiently strong for a certain application. Twenty six of the 28 blocks were sufficiently strong. Use the small-sample method to construct a 90% confidence interval for the proportion of blocks that are sufficiently strong. Round the answers to at least three decimal places.
Answers
Answer:
The 90% confidence interval for the proportion of blocks that are sufficiently strong is (0.849, 1).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).
Twenty six of the 28 blocks were sufficiently strong.
This means that \(n = 28, \pi = \frac{26}{28} = 0.929\)
90% confidence level
So \(\alpha = 0.1\), z is the value of Z that has a pvalue of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).
The lower limit of this interval is:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.929 - 1.645\sqrt{\frac{0.929*0.071}{28}} = 0.849\)
The upper limit of this interval is:
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.929 + 1.645\sqrt{\frac{0.929*0.071}{28}} = 1.009\)
Since a proportion cannot be above 1, the upper limit is 1.
The 90% confidence interval for the proportion of blocks that are sufficiently strong is (0.849, 1).
need help please
4 options
Answers
Answer:
Option (2)
Step-by-step explanation:
The graph is decreasing, so the base is less than 1.
Eliminate Options (3) and (4).We can see whether Option (1) or Option (2) is right by considering the point (1,12).
This point satisfies the function in Option (2), so that is the answer.
Vincent makes handcrafted dining tables, and he is trying to decide how many tables to produce. He can sell each dining table for $1,000. The cost of the first table is $900, for the second it's $1,100. For each additional table he produces, the marginal cost of each table increases by $200. How many dining tables should Vincent produce, and what is the total cost of his production?
Answers
The total cost of production of six dining tables is $1300.
How many tables to be produced?Production is the act of combining a variety of material and immaterial inputs to create an output. In a perfect world, this output would be a good or valuable good or service for people to use. The three main production factors of land, labor, and capital are known as primary producers of goods or services.
These crucial inputs are not significantly altered by the output process or the end product, nor are they made a crucial component of it. In classical economics, materials and energy are regarded as secondary factors because they are byproducts of land, labor, and capital. Technology and entrepreneurship are sometimes seen as evolved variables in production in addition to the conventional components of production.
Each dining table for $1,000
The second it's $1,100.
The marginal cost of each table increases by $200
The total cost of his production is
Fixed cost + Variable cost
= $1000 + 300= $1300
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I need help thanks you!
Answers
I think its C: 2 hours. sry if its wrong
Which lengths represent the side lengths of a right triangle.
Triangle 1: 4,6,10
Triangle 2:6,8,10
Triangle 3:10,24,25
Answers
Answer:
Triangle 2
Step-by-step explanation:
a^2+b^2=c^2
6^2+8^2=10^2
36+64=100
100=100
1. A. What is the formula for the Pythagorean Theorem? (1 point)
B. Find the missing leg of the triangle using the Pythagorean Theorem. Remember that drawings may not be to scale (Round to the nearest tenth).
Show your work. (4 points)
20 ft
18 ft
x
Answers
Answer:
side 1^2 + side 2 ^2 = hypotenuse ^ 2
18^2 + 20^2 = hypotenuse^2
324 + 400 = 724
hypotenuse^2 = 724
hypotenuse = 26.9072480941474
hypotenuse = 26.9
Step-by-step explanation:
What is the perimeter of each figure?
2x
2x
X-8
x + 2
1
Answers
Answer:
triangle: 5x-8
square: 4x+8
Step-by-step explanation:
triangle: 2x + 2x + x -8
combine like terms
= 5x-8
square: x + 2 + x + 2 + x + 2 + x +2
combine like terms
= 4x + 8
Sarah answered 85% of the trivia questions correctly. What fraction describes this percent? Write the fraction in its simplest form.
Answers
Answer: 17/20
Step-by-step explanation:
85% to 85/100
Then divide 85/100 by 5
17/20
HELP PLEASE NEED IT THANKS
Answers
Answer:
<
Step-by-step explanation:
1) Substitute 5 into the question
\(\frac{4(5)}{4}\)\(2(5)-3\)2) Work out the sides
\(\frac{4(5)}{4} =5\)\(2(5)-3=7\)3) Put it into an inequality
5 < 7
Hope this helps, have a great day!
Help me with my math hw please
(10 points)
Answers
Answer:
1, 3, 5 are true
Step-by-step explanation:
1. 2+5 = 19-12 is true because 7=7
2. This is false because after simplifying, you would get 1 = 0 which is false.
3. After simplifying, you would get -5 = -5 which is true. So, this equation is true.
4. After simplifying, you would get 2x+16 = 2x-8. This is false.
5. After simplifying, you would get -2x+10 = -2x+10. This equation is true.
So, only the first, third, and last equations are true.
HELP ME ITS DUE TODAY!!!!! The scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
1 7, 9
2 1, 5, 9
3 0, 1, 2
4 6, 9
Key: 2|1 means 21
What is the appropriate measure of variability for the data shown, and what is its value?
The IQR is the best measure of variability, and it equals 32.
The range is the best measure of variability, and it equals 11.
The IQR is the best measure of variability, and it equals 11.
The range is the best measure of variability, and it equals 32.
Answers
Answer:
The answer to your problem is, D. The range is the best measure of variability, and it equals 32.
Step-by-step explanation:
We know the scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
1 7, 92 1, 5, 93 0, 1, 24 6, 9The key will equal 2|1 means 21
Which we conclude to 17, 19, 21, 25, 29, 30, 31, 32, 46, 49.
Quartile:
Quartile 1, Q1 = 21Quartile 2, Q2 = 29.5Quartile 3, Q3 = 32Third Quartile, Q3 = 32Median, Minimum, Maximum, & Range:
Median, Q2 = 29.5Minimum, Min = 17Maximum, Max = 49Range, R = 32Thus the answer to your problem is, D. The range is the best measure of variability, and it equals 32.
What the answer for this???
Use the provided hundredths model (and two colors) to demonstrate how to model your answer on #1.
Be sure to explain which cool represents each factor! Be sure to write the product!
Thanks for helping me, appreciate it alot!
Answers
Answer:
Send the question please. You can send in the comments or in a separate question.
What is the value of v? (help no links and thx)
Answers
Answer:
74.7
Step-by-step explanation:
P=2(x+y) Solve for y
Answers
\( \bf \implies \: y \: = \frac{1}{2} p - x\)
Step-by-step explanation:Let's solve for yp = 2(x + y)p = 2x + 2yp - 2x = 2y2y = p - 2x\( \bf \frac{ \cancel{2}y}{ \cancel{2}} = \frac{p \: - \: 2x}{2} \)\(y = \frac{p}{2} - \frac{ \cancel{2}x}{ \cancel{2} }\)\( \boxed{y = \frac{1}{2}p - x} \: \bf \mathfrak {ans}\)