If you ever have a polynomial with a solution of bi, then it will also have a solution of -bi. Imaginary solutions always come in pairs.
So, yes, you could have a polynomial with solutions 2i and 5i, as long as -2i and -5i are also solutions.
(x-2i)(x+2i)(x-5i)(x+5i) would be the most basic polynomial you could form.
(x-2i)(x+2i)(x-5i)(x+5i) = (x^2+4)(x^2+25)
= x^4 + 29x^2 + 100
So the equation would be x^4 + 29x^2 + 100 = 0.
Now, if the question was "only the solutions of 2i and 5i and no others," then the answer is no, for the previously stated reason.
10/14 divided by 4/7 is what number?
Answers should be written in simplest form.!!!!
Answer:
[tex]\boxed{\boxed{\sf \frac{5}{4} \:\: or\:\: 1.25}}[/tex]
Step-by-step explanation:
[tex]\sf \cfrac{10}{14}\div \cfrac{4}{7}[/tex]
Apply fraction rule:
[tex]\boxed{\sf \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}}[/tex]
[tex]\longmapsto\sf \cfrac{10}{14}\times \cfrac{7}{4}[/tex]
[tex]\longmapsto\sf \cfrac{10}{14}[/tex]
Factor numbers:
[tex]\longmapsto\sf \cfrac{2\cdot \:5}{2\cdot \:7}[/tex]
Cancel comment factor: 2
[tex]\longmapsto\sf \cfrac{5}{4}[/tex]
____________
[tex]\longmapsto\sf \cfrac{5}{7}\times \cfrac{7}{4}[/tex]
Cross:
Cancel 7:
[tex]\longmapsto\sf \cfrac{5}{4}[/tex]
or
[tex]\longmapsto\sf 1.25[/tex]
______________________________________
Which of these are equivalent to -11/4? choose all that apply
A. -11÷4
B. 11 ÷ (-4)
C. -11 ÷ (-4)
D. -11/4
E. 11/-4
F. -11/-4
Help me please
Answers:
A. -11÷4
B. 11 ÷ (-4)
D. -11/4
E. 11/-4
Reasoning:
In a fraction, it doesnt matter where the negative is. Since we have a single negative sign, our answer must also have a single negative. (2 negative signs will cancel each other out.)
(9 + 31 + 5)[(7 x 5) x 4]
Answer:
The answer to your question is (7.5.4
In one season a basketball player missed 20% of her free throws. How many free throws did she attempt if she made 200 free throws?
Answer:
She attempt 1,000 free throws
Step-by-step explanation:
X • 0.2 = 200
X = 200/0.2
X = 1,000
5) x = 3 and y = 27
k =
equation:
Step-by-step explanation:
x varies directly with y,
x = ky
When x = 3 and y = 27 ,
3 = k*27
k = 3/27 = 1/9
2,329.48 rounded to the nearest hundred
Answer:
2,300
Step-by-step explanation:
the number in the tens digit is less than 5 so the 3 in the hundreds place does not round up.
Use elimination to solve.
3y-6x=7
-4y-3x=9
Answer:
x = -5/3, y = -1 or [tex](-\frac{5}{3}, -1)[/tex]
Step-by-step explanation:
Solving systems of linear equations using process of elimination involves eliminating one of the variables (and its coefficient) in order to solve the other variable either through addition or subtraction. However, there may be other mathematical operations necessary before one of the variables can be eliminated.
Equation 1: 3y - 6x = 7
Equation 2: -4y - 3x = 9
Step 1: Multiply Equation 2 by -2:
(-2)(-4y - 3x) = 9 (-2)
8y + 6x = -18
Step 2: Add "8y + 6x = -18" to Equation 1:8y + 6x = -18
+ 3y - 6x = 7
11y = -11
Step 3: Divide both sides by 11 to solve for y:[tex]\frac{11y}{11} = \frac{-11}{11}[/tex]
y = -1
Step 4: Substitute y = -1 into Equation 2 to solve for x:-4(-1) - 3x = 9
4 - 3x = 9
Step 5: Subtract 4 from both sides:4 - 4 - 3x = 9 - 4
- 3x = 5
Step 6: Divide both sides by -3 to solve for x:[tex]\frac{-3x}{-3} = \frac{5}{-3}[/tex]
[tex]x = - \frac{5}{3}[/tex]
Verify whether the values for x and y are correct by substituting their values into both equations:
x = -5/3, y = -1
Equation 1: 3y - 6x = 7
[tex]3(-1) - 6(-\frac{5}{3}) = 7[/tex]
-3 + 10 = 7
7 = 7 (True statement).
Equation 2: -4y - 3x = 9
-4(-1) - 3 (-5/3) = 9
[tex]-4(-1) - 3(-\frac{5}{3}) = 9[/tex]
4 + 5 = 9
9 = 9 (True statement).
Therefore, x = -5/3 and y = -1 are the solutions to the given systems of linear equations.
A definition of a statistical question is given below.
Statistical question:
Any question whose answer could involve working with more than one data value.
In each situation below, determine whether the question is a statistical question.
Answer:
I dont know
Step-by-step explanation:
If n(B) = 16, n(A ∪ B) = 26, and n(A ∩ B) = 5, find n(A).
Work Shown:
[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)\\\\26 = n(A) + 16 - 5\\\\26 = n(A) + 11\\\\n(A) + 11 = 26\\\\n(A) = 26-11\\\\n(A) = 15\\\\[/tex]
The Shah family uses up 1/2-gallon jug of milk every 3 days. At what rate do they drink milk?
Answer:
1 Gallon per 6 days
Step-by-step explanation:
1/2 *2 = 1
3*2 =6
Answer:
1/6 Gallons of Milk per Day
Step-by-step explanation:
1/2 / 3 = 1/6
The table below represents which equation?
Answer:
the third answer is correct
Step-by-step explanation:
the starting point is 2 and it goes up by 3
plz help with this will mark as brinliest
Answer:
it’s c
Step-by-step explanation:
I think of a number subtract 5 then double the result
Answer:
Step-by-step explanation:
choose a number for example 20
20-5=15
15x2=30
What’s the solution?
Answer:
Step-by-step explanation:
The up sloping line rises one unit for every one unit increase of x
m = Δy/Δx = 1/1 = 1
Its y intercept is (0, 5)
y = mx + b
y = 1x + 5
y = x + 5
The down sloping line drops six units for every four unit increase of x
m = Δy/Δx = -6/4 = -1.5
Its y intercept is (0, -5)
y = mx + b
y = -1.5x + (-5)
y = -1.5x - 5
we can verify the common intersection point by entering x = -4 into each equation
y = -4 + 5
y = 1
y = -1.5(-4) - 5
y = 6 - 5
y = 1
The number of coupons x used by a customer in a grocery store is a random variable with the probability density function f(x) = 4x + 3 27 , [0, 3] Find the expected number of coupons a customer will use.
Applying the integral formula, it is found that the expected number of coupons a customer will use is of 1.83.
The probability density function is given by:
[tex]f(x) = \frac{4x + 3}{27}, [0,3][/tex]
The integral formula for the expected value is:
[tex]E(x) = \int_0^3 xf(x) dx[/tex]
Hence, applying the formula for f(x) given in this problem, the expected number of coupons a customer will use is:
[tex]E(x) = \int_0^3 \frac{4x^2}{27} + \frac{x}{9} dx[/tex]
[tex]E(x) = \frac{4x^3}{81} + \frac{x^2}{18}|_{x = 0}^{x = 3}[/tex]
[tex]E(x) = 1.83[/tex]
The expected number of coupons a customer will use is of 1.83.
A similar problem, which also involves the calculation of the expected value via integral, is given at https://brainly.com/question/14263236
PLEASE NOT BOTS OR LINKS
THIS IS THE THIRD TIME I HAVE HAD TO POST THIS QUESTION
Answer: C
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Which inequality is true when the value of d is 14?
−d−9>−1.5
−d−9<1.5
−d−9>1.5
d−9<−1.5
Answer:
-d - 9 < 1.5
Step-by-step explanation:
In this problem, my reasoning is shown below for each individual inequality. We can test each one to see if it is true or not.
[tex]-(14)-9>1.5?\\-14-9>1.5?\\-23>1.5?\\[/tex]
-23 is not greater than 1.5, so it can't be the first one. Let's try the next one.
[tex]-(14)-9<1.5?\\-14-9<1.5?\\-23<1.5?[/tex]
Yes! -23 is smaller than 1.5. So we can say that the second option is correct. But just for good measure, we can try the other two.
[tex]-(14)-9>1.5?\\-14-9>1.5?\\-23>1.5?[/tex]
Nope! -23 is not greater than 1.5. Let's try the last one.
[tex]14-9<-1.5?\\5<-1.5?[/tex]
And again... nope. 5 is not smaller than -1.5. So our reigning option is -d - 9 < 1.5. Hopefully this was helpful! If you have any more questions, let me know.
−d−9<1.5 inequality is true when the value of d is 14.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
We have to check the inequality which is true for d when it is 14.
−d−9>−1.5
-14-9>-1.5
-23>-1.5
The first option is false.
−d−9<1.5
-23<-1.5
So the inequality −d−9<1.5 is true for d=14.
−d−9>1.5
-23>1.5
The inequality is false.
d−9<−1.5
14-9<-1.5
5<-1.5
The inequality is false.
Hence, −d−9<1.5 inequality is true when the value of d is 14.
To learn more on Inequality click:
https://brainly.com/question/28823603
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Divorce rates vary from city to city in the United States. We have lots of data on many U.S. cities. Statistical software makes it easy to perform dozens of significance tests on dozens of variables to see which ones best predict divorce. One interesting finding is that those cities with Major League ballparks tend to have significantly more divorces than other cities. To improve your chances of a lasting marriage, should you use this “significant” variable to decide where to live? Explain your answer.
Statistical tests are used to tell stories from data. However, they lack the scientific backing which might be used to establish a cause-and-effect theory. Hence, the 'significant' variable should not be used to decide where to live.
The presence of lurking or confounding variables are capable of causing spurious relationships between variables.
Major League ball parks seems to be prone to more social activities and nightlife which might lead to possible discourse between couples.
Hence, the 'significant' variable should not be used to decide where to live.
Learn more : https://brainly.com/question/25496663
i'll mark brainliest thanks in advance
Answer:
x = 2
Step-by-step explanation:
These are known as alternate exterior angles. These types of angles are equal to each other.
[tex]8x-7=2x+5\\6x-7=5\\6x=12\\x=2[/tex]
Factorise x2 - 10x + 21
To factor, we need to find out which 2 numbers add up to -10 and multiples to be 21.
The factors of 21 are 1, 3, 7, 21.
From there, we can conclude that -3 + -7 = -10 and -3 * -7 = 21
Hence when you factor the expression, you get:
(x-3)(x-7)
Write an exponential equation, given initial population of 2500 and doubling time of 2 years
A population of 32,000 with a 5% annual growth rate would be modeled by the equation:
y=32000(1.05)t
with t in years.
Which of the graphs best suits the following equation?
[tex]y = 6^{-x}[/tex]
Graph 1 - The x y-coordinate plane is given. The curve enters the window at the approximate point (−1.2, 8.6), goes down and right becoming less steep, crosses the y-axis at y = 1, and exits the window just above the x-axis.
Graph 2 - The x y-coordinate plane is given. The curve enters the window at the approximate point (−1.2, −8.6), goes up and right becoming less steep, crosses the y-axis at y = −1, and exits the window just below the x-axis.
Graph 3 - The x y-coordinate plane is given. The curve enters the window just above the x-axis, goes up and right, crosses the y-axis at y = 1, and exits the window at the approximate point (1.2, 8.6).
Graph 4 - The x y-coordinate plane is given. The curve enters the window just below the x-axis, goes down and right, crosses the y-axis at y = −1, and exits the window at the approximate point (1.2, −8.6).
Answer:
Graph 1 is the answer
The probability that homework is assigned in Ethan's computer science class is 7/10 From a randomly chosen class, find the probability that Ethan does NOT have computer science homework.
The probability that Ethan does NOT have computer science homework is 0.3
From the information given:
Let the probability that homework is assigned in Ethan's computer science be P(A) = 7/10However, in probability, the sum of all event outcomes is always equal to 1.
∴
[tex]\mathbf{P(A) + P(A^c) = 1}[/tex]
where;
[tex]\mathbf{ P(A^c) = }[/tex] the probability that Ethan does NOT have computer science homeworkThus;
[tex]\mathbf{ P(A^c) = 1- P(A)}[/tex]
[tex]\mathbf{ P(A^c) = 1- \dfrac{7}{10}}[/tex]
[tex]\mathbf{ P(A^c) =\dfrac{10 -7}{10}}[/tex]
[tex]\mathbf{ P(A^c) =\dfrac{3}{10}}[/tex]
[tex]\mathbf{ P(A^c) =0.3}[/tex]
Therefore, we can conclude that the probability that Ethan does NOT have computer science homework is 0.3
Learn more about probability here:
https://brainly.com/question/11234923?referrer=searchResults
What is equivalent to(X+6)(x+3)
Answer:
x²+9x+18
Step-by-step explanation:
(x+6)(x+3)x(x+3)+6(x+3)x²+3x+6x+18x²+9x+18Add.
7 2/15 + 5 2/3 + 9 13/15 =????????????????????????????????????????????????????????????
Answer:
68/3 in decimal also Know as 22.67
explanations:
STEP 1: you first of all convert to a fraction 7 2/5=107/15
STEP 2: so the next one 5 2/3 = 17/3
STEP 3: so the next one 9 13/15= 148/15
so after that we add all the answers from step 1-3
which is : 107/15 + 17/3 + 148/15= 68/3.
hope you understand with this few explanations of mine .
pls follow.
thanks.
X ^2 -10x+9 find the Axis of symmetry and vertex
Step-by-step explanation:
the function is
x² - 10x + 9
the x value for the axis of symmetry of a quadratic equation is
ax² + bx + c
x = -b/(2a)
in our case
a = 1
b = -10
x = - -10/2 = 10/2 = 5
x=5 is the axis of symmetry.
for the vertex we need also the y :
y = 5² - 10×5 + 9 = 25 - 50 + 9 = -16
the vertex is
(5, -16)
Good points get them easy!!!
Answer:
x = 7
Step-by-step explanation:
These angles are corresponding angles which mean that they're equal to each other:
7x - 4 = 5x + 10
7x - 5x = 10 + 4
2x = 14
x = 14/2
x = 7
Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
12x3
Name? [?]
Degree?
Brainiest for answer as always
Answer:
X=33
Step-by-step explanation:
Hope this helps!!!
The points (-4,2) and (4,r) lie on a line with slope -1. Find the missing cooridnate r
r = -6
Step-by-step explanation:
The slope of a line is defined as
[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
Let [tex]P_1(-4, 2)[/tex] and [tex]P_2(4, r)[/tex]. Since m = -1, we can write
[tex]-1 = \dfrac{r - 2}{4 - (-4)} \Rightarrow -1 = \dfrac{r - 2}{8}[/tex]
or
[tex]r - 2 = -8 \Rightarrow r = -6[/tex]
