Answer:
What do you mean?
Step-by-step explanation:
Sketch a graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = +2.
The graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = ± 2 is plotted and attached.
What is local maxima and minima?Local Maxima →
If f'(x) changes sign from positive to negative as x increases via point c, then f(c) represents the maximum value of the function in that range.
Local Minima →
If f'(x) changes sign from negative to positive as x increases via point c, then f(c) gives the minimum value of the function within that range.
Given is to sketch a graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = + 2.
Refer to the graph of the function attached.
It shows a parabola indicating a quadratic function that has a maximum value of (0, 2) and x - intercepts at x = ± 2.
Therefore, the graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = ± 2 is plotted and attached.
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Select the correct answer.
Energized and Powercell are companies that manufacture alkaline batteries. Both companies claim that their batteries last longer than the average alkaline battery.
Anju decided to conduct a test to see whether their claims were true. He purchased 30 Energized batteries, 30 Powercell batteries, and batteries of other brands to conduct the test. The purchase selection was random, and the test was unbiased. The batteries that lasted longer than the average of all the batteries were stated to have passed the test. The batteries that did not last as long as the average of all the batteries were stated to have failed the test. The results for Energized and Powercell are displayed in this table.
Answer:
both manufactures' claims are true because most of there batteries lasted longer than the average alkaline battery.
Step-by-step explanation:
PLATO USERS
Answer:
Both companies claim that their batteries last longer than the average alkaline battery is true .
Step-by-step explanation:
Both companies claim that their batteries last longer than the average alkaline battery is true because most of the batteries of these companies did passed the test to last longer.
As we can project from that table given that around 77% Energized batteries passed the test and around 67% powered cell batteries passed the test.
hence we can also inferred from here that Energized batteries are more consistent.
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Expand and simplify (2x + 1)(x + 3)
expand and simplify (2x + 1)(x + 3)
answer : [tex]2x^2+7x+3[/tex]
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explanation : expand the polynomial using the FOIL method.
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FOIL : a technique for distributing two binomials. the letters FOIL stand for first, outer, inner, last. first means multiply the terms which occur first in each binomial, outer means multiply the outermost terms in the product, inner means multiply the innermost terms, and last means multiply the terms which occur last in each binomial.
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step 1 : multiply each term in the first parentheses by each term in the second parentheses (FOIL)
ex : [tex]2x * x+2x * 3+x+3[/tex]
step 2 : calculate the product
ex: [tex]2x^2+2x * 3+x+3[/tex]
step 3 : calculate the product
ex: [tex]2x^2+6x+x+3[/tex]
step 4 : collect like terms
ex: [tex]2x^2+7x+3[/tex]
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solution : [tex]2x^2+7x+3[/tex]
hope this helps !
- audrey ♡
y=5x-1 as a graph (slopes)
Answer:
linked the graph!
Step-by-step explanation:
Answer:
Using the slope-intercept form, the slope is −5
y=0,-1
Step-by-step explanation:
i nedd help im almost done
If yall give me the right answer I called the branly worker to give 1,000 points to right answers so try ya best!!!
From What I understood, I need to find the area and perimeter of those shapes
Bolded words are answers
1. Triangle
Area
9*15=135
135/2=67.5
Perimeter
15+15=30
30+9=39
2. Pentagon
Area: 15.48
Perimeter: 15
Hope this Helps!
Let u=ln(x) and v=ln(y). Write the expression below in terms of u and v
=======================================================
Work Shown:
We'll apply these log rules
[tex]\text{Log Rule 1: } \ \ \ \ln\left(\frac{x}{y}\right) = \ln(x) - \ln(y)\\\\[/tex]
[tex]\text{Log Rule 2: } \ \ \ \ln\left(x^y\right) = y\ln(x)\\\\[/tex]
These log rules can be used for logs of any base, and not just natural logs.
[tex]z = \ln\left(\frac{\sqrt{x}}{y}\right)\\\\z = \ln\left(\sqrt{x}\right)-\ln\left(y\right) \text{ ... Use log rule 1}\\\\z = \ln\left(x^{1/2}\right)-\ln\left(y\right)\\\\z = \frac{1}{2}\ln\left(x\right)-\ln\left(y\right) \text{ ... Use log rule 2}\\\\z = \frac{1}{2}u-v\\\\[/tex]
Therefore,
[tex]\ln\left(\frac{\sqrt{x}}{y}\right) = \frac{1}{2}u-v\\\\[/tex]
when [tex]u = \ln(x) \ \text{ and } \ v = \ln(y)\\\\[/tex]
WILL
GIVE BRAINLIST ANSWER
...
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..
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..
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.
.
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Answer:
-10, -|-8|, -(-2), |-11|, 5²
Step-by-step explanation:
Answer:
YOU POST THIS TWICE
IT'S -10, -|-8|, -(-2), |-11|, 5²
Step-by-step explanation:
Ms. Silvia earns $3 every time she sells a cupcake. If she earns $15, how many cupcakes did she sell?
Answer:
Okay very easy, The answer is: She sold 5 cupcakes.
Step-by-step explanation:
She sold 5 cupcakes
Because if you add 3 till you get to 15 you get 5
Combine like terms to create an expression equivalent to: n +n + n + y + y
Answer:
[tex]3n+2y[/tex]
Step-by-step explanation:
LIKE TERMS: TERMS WHOSE VARIABLES AND EXPONENTS ARE THE SAME.
[tex](1)n+(1)n+(1)n+(1)y+(1)y[/tex]
When combining variables that do not have coefficients, there is always an invisible '1' in front of the variable.
[tex](1)n+(1)n+(1)n = 3n.[/tex]
[tex](1)y+(1)y=2y.[/tex]
[tex]3n+2y.[/tex]
What is 3/4-5/8?
? Give your answer in its simplest form.
Answer:
1 over 8
1
8
=0.125
Step-by-step explanation:
what is 70.5 and 79.5 on a number line 60-100?
Answer:
s
Step-by-step explanation:
If one data point is 36, which point would make 48 the mean?
I need help plz I don’t know how to do this
Answer:
(2,4)
Step-by-step explanation:
3x-2(-2)=x
3x-4=x
-4= -2x
x=2
y=3(2)-2
y=6-2
y=4
(2,4)
Kirk used the Quantitative Reasoning Process to build a budget while he is going to college. He worked hard over the summer and saved $3,251.35 to live on during the next two semesters of school. Kirk will receive a scholarship each semester for $1,157.9. If he plans to use up all of his savings while at school, how much money can Kirk spend each month, on average, for things like groceries, entertainment, and miscellaneous items?
Assume two semesters equals 8 months total. Also assume Kirk has no other expenses than what he has listed here.
Scholarship for each Semester: $1,157.9
Tuition & Books Cost per Semester: $2,000
Housing Cost for a two-semester Contract: $1,025
If he has money left, what is the average monthly amount Kirk can afford to spend each month?
If he has overspent, what is the average monthly amount Kirk would be in debt each month?
(Indicate this amount with a negative sign)
(Round your answer to the nearest cent)
Kirk can spend $695.89 each month.
AveragesGiven that Kirk worked hard over the summer and saved $3,251.35 to live on during the next two semesters of school, and Kirk will receive a scholarship each semester for $1,157.9, to determine, if he plans to use up all of his savings while at school, how much money can Kirk spend each month, on average, for things like groceries, entertainment, and miscellaneous items, assuming two semesters equals 8 months total, the following calculation must be made:
(3251.35 + (1157.9 x 2)) / 8 = X(3251.35 + 2315.8) / 8 = X5567.15 / 8 = X695.89 = XTherefore, Kirk can spend $695.89 each month.
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Answer:
Kirk can spend $695.89 each month.
Step-by-step explanation:
All the songs all the figures except a _____ have to bases
Answer:
Square pyramid
Step-by-step explanation:
Mary has 37 sheep in her flock. If she makes one group of 7 sheep, how many equal groups of 3 sheep can be made with the remaining sheep?
Answer: 10 groups
Step-by-step explanation:
Since we know she is making a group of 7 sheep, we can do 37-7 to get 30 sheep left
If she wants to find how many groups she can make we have to do 30/3 which gets us to 10 which is the number of groups she can do
I hope this helps
Please help me, this is probably my 20th time doing this topic and I haven't passed it yet.
Thank you very much!
Answer:
infinitely many
Step-by-step explanation:
Answer:
there is an infinite number of triangles that can be created.
Step-by-step explanation:
To satart, you have a line, that is 8 cm, with a circle, with the center on one of its endpoints, that has a radius of 3 cm. s in this case, 2 sides of the triangle would be 8 and 3. now, with this combintion, you could have a triangle that the missing side is from 6 to 10. there is an infinite amount of numbers inbetween 6 and 10. for example, you could have 6, 6 1/4, 6 1/8, or 6 1/16.
The list goes on and on.
20 POINTS!!!!!!!!!! what are two numbers that multiply to equal -13 but add to equal +7
Answer:
x = -1.525
y = 8.525
Step-by-step explanation:
xy = -13
x + y = 7
we can let 'y' equal 7-x and use substitution
x(7-x) = -13
7x - x² + 13 = 0
divide through by negative one to get a positive x²
x² - 7x - 13 = 0
use the quadratic formula to get:
x = -1.525
y = 8.525
Determine the greatest common factor of 28xy9z and 32x2y2z
Answer:
4xy^2z
assuming those numbers after the first ones are exponents
help will give max points and branlisest plls HELP ASAP BY 1230pt thanks ;]
Answer:
120cm^3
Step-by-step explanation:
It is known that screws produced by a certain company will be defective with probability 0.01, independently of each other. The company sells the screws in packages of 10 and offers a money-back guarantee that at most 1 of 10 screws are defective. That is, the package would have to be replaced if greater or equal to 2 screws are defective. What proportion of packages sold must the company replace
Answer:
The company must replace 0.0042 = 0.42% of packages.
Step-by-step explanation:
For each screw, there are only two possible outcomes. Either it is defective, or it is not. The probability of an screw being defective is independent of any other screw. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
It is known that screws produced by a certain company will be defective with probability 0.01.
This means that [tex]p = 0.01[/tex]
The company sells the screws in packages of 10
This means that [tex]n = 10[/tex]
That is, the package would have to be replaced if greater or equal to 2 screws are defective. What proportion of packages sold must the company replace?
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which:
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{10,0}.(0.01)^{0}.(0.99)^{10} = 0.9044[/tex]
[tex]P(X = 1) = C_{10,1}.(0.01)^{1}.(0.99)^{9} = 0.0914[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.9044 + 0.0414 = 0.9958[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9958 = 0.0042[/tex]
The company must replace 0.0042 = 0.42% of packages.
10. If ABCD is a kite, DB=48 in. and CE=7 in. find DC. *
49 in.
23 in.
25 in.
47 in.
Answer:
25 in.
Step-by-step explanation:
DEC is a right triangle. <DEC is a right angle.
(DE)² + (EC)² = (DC)²
DE = ½DB = ½(48 in.) = 24 in.
(24 in.)² + (7 in.)² = (DC)²
576 in.² + 49 in.² = (DC)²
(DC)² = 625 in.²
DC = 25 in.
Calculator
What is the value of n?
Enter your answer in the box.
Answer:
168
Step-by-step explanation:
168+8+4=180
Help please ASAP thank you!! your awesome if you help
Answer:
Perimeter=56 units
Area =196 square unites
Step-by-step explanation:
The diagonal would be 14√2.
The formula for area using the diagonal is 1/2d².
1/2x(14√2)²=1/2x196x2=196
For perimeter, s²+s²=392
2s²=392
s²=196
s=√196
s=14
14x4=56
A network of electrical wires will be constructed so that each of the
six points on the board is directly connected to each other point by a piece
of wire. The diagram shows the board with points A, B, C, D, E, and F.
Answer:
D I just did this
Math problem please help me answer A and B
Answer:
a) [tex]\frac{19}{52}[/tex]
b) [tex]\frac{7}{52}[/tex]
Step-by-step explanation:
Total number of students = 52
Number of students who are democrats = 26
Number of students who are business majors = 12
Number of students who are business majors as well as democrats = 7
Now, lets come to the question.
a) Number of students who are democrats but not business majors =
(Number of democrats) - (Number of democrats as well as business majors)
⇒ 26 - 7
⇒ 19
∴ P (Democrat who is not a business major) = [tex]\frac{19}{52}[/tex]
b) Number of students who are neither democrats nor business majors =
(Total number of students) - (Number of democrats + Number of business majors + Number of democrats as well as business majors)
⇒ 52 - (26 + 12 + 7)
⇒ 52 - 45
⇒ 7
∴ P (Neither democrat nor business major) = [tex]\frac{7}{52}[/tex]
The Scenario: Your manager has asked you to help plan your company's participation at a local trade show. You have $3000 to spend on the booth space and product brochures. Use what you know about solving inequalities to prepare a proposal that meets the budget.
Answer:
[tex]x + y\le 3000[/tex]
Step-by-step explanation:
Given
[tex]x \to booth[/tex]
[tex]y \to brochures[/tex]
[tex]Total = 3000[/tex]
Required
The inequality for this scenario
The total spending will not exceed the amount they have to spend; So, the inequality is:
[tex]x + y\le 3000[/tex]
Calculate the area between the two circles, as shown if the smaller radius is 3 and the larger radius is 11
9514 1404 393
Answer:
112π ≈ 351.9 square units
Step-by-step explanation:
Assuming the smaller circle is wholly contained within the larger circle, the difference of their areas is ...
ΔA = (π·11²) -(π·3²) = π·(121 -9) = 112π ≈ 351.9 . . . square units
__
The formula for the area of a circle is ...
A = πr²
Evaluate g(2) given. Help
Answer:
[tex]g(2) = 3[/tex]
Step-by-step explanation:
Given
See attachment
Required
[tex]g(2)[/tex]
To solve this, we make use of:
[tex]g(x) = |7 - x^2|[/tex]
Because [tex]x \le 2[/tex]
i.e. [tex]2 \le 2[/tex]
So, we have:
[tex]g(2) = |7 - 2^2|[/tex]
[tex]g(2) = |7 - 4|[/tex]
[tex]g(2) = |3|[/tex]
Remove absolute brackets
[tex]g(2) = 3[/tex]
A population of 1,500 insects grows exponentially by a factor of 3 every week. Select all equations that represent or approximate the population, p. as a function of time in days.t, since the population was 1,500.
The required equation that represent or approximate the population is:
[tex]\mathrm P(t) = 1,500 \times 3^{(1/7)}^t[/tex]
To represent the population, P, as a function of time in days, t, we need to find an exponential growth equation.
Since the population grows exponentially by a factor of 3 every week, we need to convert the weekly growth to daily growth.
Let's break down the problem step by step:
The population grows by a factor of 3 every week.There are 7 days in a week, so the daily growth factor can be calculated by taking the 7th root of 3. (Growth factor per day = [tex]3^{(1/7)[/tex])The initial population is 1,500.Now, we can represent the population, P, as a function of time, t, using the exponential growth equation:
[tex]\mathrm P(t) = \mathrm{Initial \ Population} \times \mathrm {Growth \ Factor}^t[/tex]
where:
Initial Population (Po) = 1,500 (given)
Growth Factor per day = [tex]3^{(1/7)[/tex]
So, the equation representing the population as a function of time in days is:
[tex]\mathrm P(t) = 1,500 \times 3^{(1/7)}^t[/tex]
Hence the required equation that represent or approximate the population is:
[tex]\mathrm P(t) = 1,500 \times 3^{(1/7)}^t[/tex]
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