Answer:
the x-intercepts are at
x = -3
x = 0
x = 1
Step-by-step explanation:
ask the points, where the functional value is 0.
2x³ + 4x² - 6x = 0
we see that every term contains an expression of x. so, we can simplify this
x × (2x² + 4x - 6) = 0
so, one solution is plainly visible : x=0
for the other solutions we need to solve the square equation
2x² + 4x - 6 = 0
or even simpler
x² + 2x - 3 = 0
the solution of a square equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a=1
b=2
c=-3
x = (-2 ± sqrt(2² - 4×1×-3))/(2×1) = (-2 ± sqrt(4 + 12))/2 =
= (-2 ± sqrt(16))/2 = (-2 ± 4)/2 = -1 ± 2
x1 = -1 + 2 = 1
x2 = -1 - 2 = -3
What is 24/9 in simplest form
Answer:
2 2/3
Step-by-step explanation:
hope this helps :)
don't be afraid to ask questions
which is the graph of the function fx=x^2+2x+3
Answer:
see below
Step-by-step explanation:
fx=x^2+2x+3
This is a parabola that opens upward
f(x) = (x^2 +2x)+3
= (x^2+2x+1) +3-1
= (x+1)^2 +2
This is in vertex form y =a(x-h)^2 +h where the vertex is (h,k)
This has a vertex as (-1,2)
And has a y intercept at (0,3)
this does not cross the x axis
V= pi r2h rectangular prism cylinder cone sphere
Answer:
Step-by-step explanation:
rectangular prism=lwh
cylinder=πr²h
cone=1/3 πr²h
sphere=4/3 πr³
The product of two positive integer numbers is 70 and the sum of the same two numbers is 17. Find the
numbers.
Answer:
7 and 10
Step-by-step explanation:
7 * 10 = 70
7 + 10 = 17
Answer:
10 and 7
Step-by-step explanation:
call them a and b, respectively
so a*b=70 -> b=70/a
a+b=17 ->a+70/a=17 ->a=10 b =7
The chi-square test statistic is χ2 = 18.68 and the P-value is between 0.0025 and 0.005. What conclusion should the researcher make? Use α = 0.05.
We don't know what the exact p-value is, but we are told that it's as large as 0.005 which is smaller than alpha = 0.05
Since the p-value is smaller than alpha, this means we reject the null hypothesis.
The way you can remember this is "if the p-value is low, then the null must go". By "low", I mean "smaller than alpha".
Recall that the p-value is the probability of observing that specific test statistic, or larger. So the chances of chi-squared being 18.68 or larger is a probability between 0.0025 and 0.005; there's a very small chance of this happening. The p-value is based entirely on the assumption that the null is correct. But if the null is correct, then the chances of landing on this are very small. We have a contradiction that basically leads to us concluding the null must not be the case. It's not 100% guaranteed of course, but it's fairly strong evidence.
In short, the p-value being smaller than alpha = 0.05 means we reject the null.
In order to accept the null, the p-value must be 0.05 or larger.
how do i convert 134five to base ten
Answer:
44
Step-by-step explanation:
1×5² + 3×5¹ +4×5⁰
25+15+4
44
please help! x^3 +y^3=9
Step-by-step explanation:
Taking the derivative of both sides with respect to x, we get
[tex]\dfrac{d}{dx}(x^3 + y^3) = \dfrac{d}{dx}(3)[/tex]
[tex]\Rightarrow 3x^2 + 3y^2\dfrac{dy}{dx} = 0[/tex]
Solving for [tex]\frac{dy}{dx}[/tex], we get
[tex]\dfrac{dy}{dx} = -\dfrac{3x^2}{3y^2} = -\dfrac{x^2}{y^2}[/tex]
rewrite 7/10 and negative 2/5
What type of polynomial is: sqrt 7x^4 - x^3
Answer:
Quartic cause highest degree is 4
10. What is the multiple zero and multiplicity of f(x) = (x - 3)(x - 3)(x + 5)?
Multiple zero is -3; multiplicity is 2
Multiple zero is 5; multiplicity is 1
Multiple zero is -5; multiplicity is 1
Multiple zero is 3; multiplicity is 2
Answer:
D. Multiple zero is 3; multiplicity is 2
Step-by-step explanation:
f(x) = (x-3)(x-3)(x+5)
0 = (x-3)(x-3)(x+5)
x = -5,3,3
notice 3 shows up twice. That would be your answer...So D.
Answer:
Multiple zero is 3; multiplicity is 2
Step-by-step explanation:
f(x) = (x - 3)(x - 3)(x + 5)
Rewriting
f(x) = (x - 3)^2(x + 5)
Setting equal to zero
0 = (x - 3)^2(x + 5)
Using the zero product property
(x-3)^2 = 0 x+5 = 0
x-3 = 0 x= -5
x=3 x-5
Since x-3 was squared, the multiplicity is 2
A grocery store sells apples in bags. Each bag weighs 3/5 of a pound. Alberto's mother buys 6 pounds of apples to make applesauce. How many bags of apples does she buy?
Answer:
10
Step-by-step explanation:
these are small bags (just as comment), so in real life the cost of using bags would add significantly to the price of the apples.
anyway, so we need to find how many units of 3/5 pounds do we need to get 6 pounds ?
3/5 × x = 6
3 × x = 30
x = 10
she buys 10 bags to get 6 pounds.
M is the midpoint of HA. The coordinate of His
(3x + 5,3y) and the coordinate of A is (x-1, -y). What is
the coordinate of M?
Step-by-step explanation:
ANSWER:(2x+2,y)
A basket contains 11/12 pound of strawberries. One serving strawberries is 1/4 pound. How many servings of strawberries are in the basket?
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!!
Answer:
3 2/3 servings
Step-by-step explanation:
Take the total amount of strawberries and divide by the number of strawberries in a serving.
11/12÷ 1/4
Copy dot flip
11/12 * 4/1
Rewriting
11/1 * 4/12
11/1 *1/3
11/3
Changing to a mixed number
3 2/3 servings
☆No of servings =Total strawberries weight/Per servings weight
[tex]\\ \sf\longmapsto \dfrac{11}{12}\div \dfrac{1}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{11}{12}\times \dfrac{4}{1}[/tex]
[tex]\\ \sf\longmapsto \dfrac{11(4)}{12}[/tex]
[tex]\\ \sf\longmapsto \dfrac{44}{12}[/tex]
[tex]\\ \sf\longmapsto \dfrac{11}{3}[/tex]
There are total 11/3servingsNgười ta tiến hành bài kiểm tra được thiết kế để đánh giá thái độ đối với bệnh nhân đang
hấp hối trên 60 sinh viên y năm nhất, kết quả tính được điểm trung bình của mẫu là 73,8 và độ
lệch chuẩn mẫu là 8,3. Với mức ý nghĩa 5%, số liệu trên có đủ mạnh để cho rằng điểm trung bình
bài đánh giá thái độ của sinh viên y năm nhất là trên 70 hay không?
Answer:
cannot understand the language man
but please follow
The 47th Annual PDK/Gallup Poll of the Public’s Attitudes toward the Public Schools, conducted in May 2015, sampled 4,500 adult Americans and found that 64% feel there is too much emphasis on standardized testing in the public schools in their community.
Using the quick method, the estimated margin of error for conclusions having 95% confidence about the entire adult population of adult Americans is ___%?
Answer:
1.3809%
Step-by-step explanation:
Given ;
Sample size, n = 4500
Phat = 64% = 0.64
The margin of error :
Zcritical * √[Phat(1 - Phat) / n]
At 95% confidence level:
Zcritical at 95% = 1.96
Margin of Error :
1.96 * √[0.64(0.36) / 4500]
1.96 * 0.0071554
= 0.0138099
= 0.0138099 * 100%
= 1.3809%
I’m confused of how to do this
Answer:
y≤0
Step-by-step explanation:
The line is 0 for all x so y must be the one being manipulated
Because the line is solid and shaded on the negative side, y must be less than or equal to 0
Will give brainliest answer
Answer:
14 hours
Step-by-step explanation:
Take any two consecutive high tides and to find their x coordinatey and sub them..
Professor Iron always gives two exams in his communications class. He only uses the lower of the two scores that a student gets on the exams when he calculates the course grade. Put the grade on the first exam on the horizontal axis and the grade on the second exam on the vertical axis. What kind of preference a student should have for these two grades. Group of answer choices Perfect Complements Perfect Substitutes Cobb-Douglas Preference Neutral Preference
Answer:
Perfect complements
Step-by-step explanation:
Since minimum score of tests is to be considered. It is a case of perfect complements.
Correct option is
Perfect complements
The effective gross income from an office building property is $73,500 and the annual operating expenses total $52,300. If the owner expects to receive an 11% return on his investment, what is the value of the property?
Answer:
It’s b. $192,727
Step-by-step explanation
i hope this help
can I get brainly
beverly found a magic bean if she puts it in the soil every single day it will grow 4 cm after how many days will it grow 14.56 meters tall?
Answer:
It will take 364 days
Step-by-step explanation:
First, convert:
1 meter = 100 cm
14.56 meters = 1456 cm
1456 cm is how tall it is at the end, to find out how many days it takes to grow, divide 1456 by 4 (how much it grows every day).
1456/4 = 364 days
The number of days to grow by 14.56 meters is 364 days.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The number of days to grow is 14.56 meters will be calculated as:-
1 meter = 100 cm
14.56 meters = 1456 cm
1456 cm is how tall it is at the end, to find out how many days it takes to grow, divide 1456 by 4 (how much it grows every day).
1456/4 = 364 days
Therefore, the number of days will be 364.
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A board that measures 3/4 feet long is cut into 6 equal pieces . What is the length of each price
Step-by-step explanation:
8 cm² is the correct answer for that question
Given:
Board Length = 3/4
6 equal pieces = 3/4 ÷6
= 3/4 × 1/6
= 1/4 × 1/2
= 1/8
Therefore each equal piece will be 1/8 feet long
Answered by GauthMath if you like please click thanks and comment thanks too.
Thank you for all the help guys
Answer:
a is the right answer thanks__ (5 + 4) = 2 * 5 + 2 * 4
PLEASE EXPLAIN HOW YOU GOT THE ANSWER
Answer:
x = 2
Step-by-step explanation:
→ Simplify
x × ( 9 ) = 10 + 8
→ Further simplify
9x = 18
→ Divide both sides by 9
x = 2
In a nationwide survey conducted by a reputable research center, a sample of adults in a certain country were asked whether they favor a plan to break up a small collection of megabanks, which controlled about % of the banking industry; % of those sampled responded in the affirmative. According to the report, "the margin of sampling error is / percentage points with a % level of confidence." Find and interpret a % confidence interval for the percentage of all adults in the country who favor a plan to break up the megabanks.
Answer:
(42% ; 48%)
We are 99% confident that the percentage of all adults in the country who favor a plan to break up the megabanks is between 42% and 48%
Step-by-step explanation:
The confidence interval is used to estimate the range of values for which the population value may lie at a certain level of confidence.
Given that :
Phat = 45%
Margin of error = ±3%
The confidence interval is defined as :
C. I = Phat ± margin of error
C. I = 45% ± 3%
Lower boundary :
45% - 3% = 42%
Upper boundary :
45% + 3% = 48%
C.I = (42% ; 48%)
We are 99% confident that the percentage of all adults in the country who favor a plan to break up the megabanks is between 42% and 48%
A baseball fan wanted to know if there is a difference between the number of games played in a World Series when the American League won the series versus when the National League won the series. From 1922 to 2012, the population standard deviation of games won by the American League was 1.14, and the population standard deviation of games won by the National League was 1.11. Of 19 randomly selected World Series games won by the American League, the mean number of games won was 5.76. The mean number of 17 randomly selected games won by the National League was 5.42.
Required:
Conduct a hypothesis test use the 10% significance level.
Answer:
correct u did it
Step-by-step explanation:
told me
To conduct a hypothesis test to determine if there is a significant difference between the number of games won by the American League and the National League in the World Series, we can follow these steps:
Step 1: State the null and alternative hypotheses:
Null hypothesis (H0): There is no significant difference between the mean number of games won by the American League and the National League.
Alternative hypothesis (Ha): There is a significant difference between the mean number of games won by the American League and the National League.
Step 2: Determine the significance level:
In this case, the significance level is given as 10%, which means α = 0.10.
Step 3: Conduct the hypothesis test:
To conduct the hypothesis test, we can use a two-sample t-test because we have two independent samples and we do not have information about the population parameters.
Step 4: Calculate the test statistic and p-value:
Using the provided sample means, standard deviations, and sample sizes, we can calculate the test statistic and p-value using statistical software or a calculator.
Step 5: Compare the p-value to the significance level:
If the p-value is less than the significance level (α), we reject the null hypothesis and conclude that there is a significant difference between the mean number of games won by the American League and the National League. If the p-value is greater than the significance level, we fail to reject the null hypothesis.
Since the calculation of the test statistic and p-value requires specific values from the samples, such as the sample sizes, it is not possible to perform the exact calculation without those values. Additionally, the information provided in the question does not specify whether the data follows a normal distribution or other assumptions required for the t-test.
To conduct the hypothesis test accurately, it is recommended to use statistical software or consult a statistician who can perform the calculations using the provided sample means, standard deviations, and sample sizes.
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Two cards are drawn without replacement from a standard deck of 5252 playing cards. What is the probability of choosing a red card for the second card drawn, if the first card, drawn without replacement, was a club
Answer:
The probability is 0.51
Step-by-step explanation:
We want to find the of choosing a red card for the second card drawn, given that the first card drawn without replacement, was a club.
Then we need to assume that the first card drawn was a club, so now we have a deck of 51 cards with:
13 hearts
13 diamonds
13 spades
12 clubs.
Now with this deck, the probability of drawing a red card is equal to the quotient between the number of red cards and the total number of cards in the deck.
We have 26 red cards (13 hearts + 13 diamonds)
And there is a total of 51 cards in the deck, then the probability of drawing a red card now is:
P = 26/51 =0.51
The probability is 0.51
what is the formula to solve midpoint
Answer:
(x1 + x2) , (y1+y2)
2 2
Step-by-step explanation:
sketch the graph of the equation: y=x, y=-x,
Answer:
purple line is -x and green line is x
hope that answers your question
used desmos to graph, its pretty cool!!!
Write the sum using summation notation, assuming the suggested pattern continues.
2, -10, 50, -250, +…
Is this sequence arithmetic or geometric? How do you know?
Answer:
Step-by-step explanation:
It's geometric. The nth term differs by -5 when compared to the n+1 term.
Sum 0 to n a(-5)^n-1 where a = 2
I think this is what you want, but there is also a formula. See below.
Sum = a (r^n - 1)/(r - 1)
Which expression is equivalent to 15 n=10 (n+3/n)?
Answer:
±√6
Step-by-step explanation:
[tex]15n=10(n+\frac{3}{n} )[/tex] is your expression first muiltiply out the 10 to get 15n= 10n+10 3/n next subtract 10 n from both sides to get 5n=10+3/n multiply both sides by n to get 5n^2=13 combine both sides and use the quadratic equation to solve to get your solution of ±√6