x = [tex]\frac{3}{2}[/tex] ± [tex]\frac{1}{2}[/tex]i
the equation has no real zeros but instead has 2 complex zeros
the discriminant = b² - 4ac
with a = 2, b= - 6, c = 5
b² - 4ac = (-6)² - (4 × 2 × 5 ) = -4
since b² - 4ac < 0 there are no real zeros
using the quadratic formula
x = ( 6 ± √(- 4 ) )/4 = ( 6 ± 2i ) / 4
x = [tex]\frac{6}{4}[/tex] ± [tex]\frac{2}{4}[/tex] i
= [tex]\frac{3}{2}[/tex] ± [tex]\frac{1}{2}[/tex] i
Answer: x=3+i/2 or x=3-i/2
APEX
simplify 35x^3y^5/7x^2y^4 show work mark brainliest only answer if you know how to do laws of exponents
When you write expressions like this, you need to pay attention to the Order of Operations. As this is written, the only factor in the denominator is the one immediately after the division symbol: 7. This simplifies to
... (35/7)·x^(3+2)·y^(5+4) = 5x^5y^9
_____
We suspect you might intend ...
... (35x^3y^5)/(7x^2y^4) = (35/7)x^(3-2)y^(5-4) = 5xy
Q#..12 anybody help me?
Answer: First option. x-intercept is -5; y-intercept is -7/4
Solution:
1) To find the x-intercept we replace y by 0, and solve for x:
-(7/5)x-4y=7
-(7/5)x-4(0)=7
-(7/5)x-0=7
-(7/5)x=7
Multiplying both sides of the equation by -(5/7)
-( 5/7)[-(7/5)]x=-(5/7)(7)
x=-(5*7)/7
x=-35/7
x=-5
The x-intercept is -5
2) To find the y-intercept we replace x by 0, and solve for y:
-(7/5)x-4y=7
-(7/5)(0)-4y=7
-0-4y=7
-4y=7
Dividing both sides of the equation by -4:
-4y/(-4)=7/(-4)
y=-(7/4)
The y-intercept is -(7/4)
Find the coordinates of the points of intersection of the graphs with coordinate axes: y=−2x+4
You must get two equation to find point of intersections
Answer:
x = (2,0)
y = (0,4)
Step-by-step explanation:
Solve For x:
Lets take y as 0 so the equation is 0 = -2x + 4, and if we simplify the expression we get x = 4/2 which s x = 2 so the answer for x is (2,0)
Solve for y:
Lets take x as 0 so the equation is y = -2 · 0 + 4 which simplyfied to y = 4, so the answer for y is (0,4)
I need help with this one please d÷12=1/6
Answer
d = 2
Step-by-step explanation:
d divided by 12 is the same as d/12?
d/12 = 1/6
cross multiply and get 12 = 6d.
6(2) = 12.
Divide 12 by 2 and you get 2/12 which simplifies to 1/6.
Hope I helped. ^-^
d = 2
given [tex]\frac{d}{12}[/tex] = [tex]\frac{1}{6}[/tex]
multiply both sides by 12
d = 12 × [tex]\frac{1}{6}[/tex] = 2
Determine the solution to the following system of linear equations.
5x - 5y = 20
-2x + 2y = -4
no solution
infinitely many solutions
(5, 1)
(2, -2)
Answer:
no solution
Step-by-step explanation:
To put the first equation into standard form, with the coefficients mutually prime, divide it by 5:
... x - y = 4
To put the second equation into standard form, with the coefficients mutually prime and the leading coefficient positive, divide by -2:
... x - y = 2
These are inconsistent equations, hence have no solution.
Answer:
a
Step-by-step explanation:
What is the definition where of additive inverse?
I organized an ocean cleanup and we collected a total of 25 pounds of garbage 16 pounds of the garbage consisted of plastic what percent of the garbage was plastic
64%. You would divide 16 from 25 because you're trying to find the amount of garbage that was plastic.
Hope this helped! :)
NEED HELP NOW!
The values in the table define the function f(x) . The value of f ^-1(3) is , and the value of f^-1(8) is .
f^-1 is found by reading the table from right to left, so find the f(x) number in the right hand column and f^-1 would be the number in the left hand column.
When f(x) = 3, x = 2
f^-1(3) would be 2
When f(x) = 8, x = 7
f^-1(8) = 7
As per the given value of the function , value of [tex]f^{-1}(3) = 2[/tex] and [tex]f^{-1}(8) = 7[/tex].
What is function?" Function is defined as the for each input value there is one and only one output."
According to the question,
From the given table value of function [tex]f(x)[/tex]defined for [tex]x[/tex]
Consider,
[tex]f(x) = y\\\\\implies x = f^{-1}(y)[/tex]
Value of required function we get,
[tex]y= 3\\\\\implies f^{-1}(3)= 2[/tex]
[tex]y= 8\\\\\implies f^{-1}(8)= 7[/tex]
Hence, as per the given value of the function , value of [tex]f^{-1}(3) = 2[/tex] and [tex]f^{-1}(8) = 7[/tex].
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Consider the trigonometric function f(x)=4cos(2x pi/2) +9
How do you determine the minimum and maximum values of this function?
Answer:
Make use of your knowledge of the maximum and minimum of the cosine function. Then scale and translate according to the way that function is scaled and translated to make f(x).
Step-by-step explanation:
f(x) is the cosine function, multplied by 4 and with 9 added to the result.
The minimum of the cosine function is -1. Multiplying that by 4 gives -4, and adding 9 gives 5.
The maximum of the cosine function is +1. Multiplying that by 4 gives +4, and adding 9 gives 13.
The minimum and maximum of f(x) are 5 and 13, respectively.
Max and Min:
Max = 13
Min = 5
COS Standard Period
[tex]2\pi[/tex]
COS Period with a multiplier of 2 on x
[tex]\pi[/tex]
COS Period with a multiplier of 2 on x and a Phase Shift
Answer to period
[tex]\frac{5}{4}\pi[/tex]
Step-By-Step Explanation:
Please view the image I have provided.
given sin theta = 2/5 and 0 theta 90 find sin 2 theta
Given: sin theta = 2/5. This tells us that the lengths of the opp side and the hyp are 2 and 5 respectively. The adj side is found using the Pyth. Thm.: 5^2-2^2= 25-4 = 21, so that the adj side is sqrt(21).
The double angle formula for the sine is sin 2theta = 2 sin theta *cos theta.
In this particular problem, the sine of 2theta is 2*(2/5)*[sqrt(21) / 5], or:
(4/25)*sqrt(21).
Answer:
The value of [tex]\sin^2 \theta=\frac{4}{25}[/tex]
Step-by-step explanation:
Given : [tex]\sin \thet=\frac{2}{5}[/tex] and [tex]0<\theta<90[/tex]
To find : The value of [tex]\sin^2\theta[/tex] ?
Solution :
We have given the value of [tex]\sin \thet=\frac{2}{5}[/tex] and [tex]0<\theta<90[/tex]
To find [tex]\sin^2\theta[/tex] we just have to square [tex]\sin\theta[/tex]
[tex]\sin \theta=\frac{2}{5}[/tex]
Squaring both sides,
[tex](\sin \theta)^2=(\frac{2}{5})^2[/tex]
[tex]\sin^2 \theta=\frac{4}{25}[/tex]
Therefore, The value of [tex]\sin^2 \theta=\frac{4}{25}[/tex]
If 11 is added to a number, the result is 45 less than twice the number. Find the number
1. What is the algebraic expression for the following word phrase: the product of 6 and n
A. 6 - N
B. 6 + N
C. 6N
D. N/6
2. What is the algebraic expression for the following word phrase: the quotient of 6 and the sum of x and y
A. 6/x-y
B. 6/x+y
C. 6(x+y)
D. 6/x + 6y
3. What is the algebraic expression for the following word phrase: the quotient of z and 3?
A. Z/3
B. Z+3
C. 3z
D. 3-Z
Will mark brainliest for correct answers :D
Answer:
The answers would be
1. C
2. B
3. A
Step-by-step explanation:
The term product refers to multiplication. So in question 1, when we see the term quotient, we are looking to multiply.
The term quotient refers to division. So in questions 2 and 3, when we see this term, we look to divide.
Answer:
C. [tex]6n[/tex]
B. [tex]\frac{6}{(x+y)}[/tex]
A. [tex]\frac{Z}{3}[/tex]
Step-by-step explanation:
1. This expression refers to the product operation between real numbers, therefore the correct algebraic form is [tex]6n[/tex]
2. This expression refers to the operation division between real numbers, therefore the correct algebraic form is [tex]\frac{6}{(x+y)}[/tex]
3. This expression refers to the operation division between real numbers, therefore the correct algebraic form is [tex]\frac{Z}{3}[/tex]
An expression is shown. 6 x (2.6 + 12.1) - 7 What value is equivalent to the expression? A) 81.2 B) 875 C) 87.5 D) 812
A 81.2 is the answer
Hello!
Answer:⇒⇒⇒⇒⇒⇒⇒⇒A. 81.2
Step-by-step explanation:
[tex]6(2.6+12.1)[/tex]
Add the numbers.
[tex]2.6+12.1=14.7[/tex]
[tex]6*14.7[/tex]
Multiply the numbers.
[tex]6*14.7=88.2[/tex]
[tex]=88.2[/tex]
[tex]88.2-7[/tex]
Subtract the numbers.
[tex]88.2-7=81.2[/tex]
[tex]=81.2[/tex]
Hope this helps!
Thank you for posting your question at here on brainly.
-Charlie
Which expression is equivalent to 2^ 2 x 2/2^ 4
a:2^ -2
b: 2^ -1
c: 2^ 6
d: 2^ 7
(Please show work!! (: )
(b)
using the 'laws of exponents '
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]
2² × [tex]\frac{2}{2^{4} }[/tex] = [tex]\frac{2^{3} }{2^{4} }[/tex] = [tex]2^{(3-4)}[/tex] = [tex]2^{-1}[/tex]
Simplify the expression where possible. (-4x 2) 2
Answer: 16x^4
Step-by-step explanation:
what is 24 percent of 25
6
24% = [tex]\frac{24}{100}[/tex]
multiply 25 by this fraction
25 × [tex]\frac{24}{100}[/tex] = [tex]\frac{25(24)}{100}[/tex] = 6
HELP PLEASE! EASY POINTS!
For which pair of lines are ∠1 and ∠2 alternate interior angles if d is the transversal?
a and b
b and c
c and d
d and a
Angles 1 and 2 involve lines a, b, and d. If d is the transversal, then the only pair left out of those three lines is a and b.
_____
Angles 1 and 2 are between lines a and b (interior), and either side of line d (alternate), so meet the requirements to be called alternate interior angles.
Answer:
ITS A AND B
Step-by-step explanation:
An airplane has a maximum capacity of 118 passengers. The flight attendant has loaded 40 passengers. Which inequality represents the solution set that shows the number of passengers, p, that can still load the plane
A) p ≥ 68
B) p ≤ 68
C) p ≤ 78
D) p ≥ 78
C) p ≤ 78
I got 78 by subtracting 118 by 40. Since we know the maximum is 118 we can't get any higher than 78 so it has to be equal or less than.
Answer:
C) p ≤ 78
Step-by-step explanation:
so we know the plane has a maximum capacity of 118
and 40 have already been loaded.
118-40= 78
we know it cannot have greater than 78 but it can equal 78
there fore passengers are less than or equal to 78
also shown like this p ≤ 78 or option C
Use the information about the graph of a polynomial function to determine the function. Assume the leading coefficient is 1 or −1. There may be more than one correct answer.
The y-intercept is
(0, 9).
The x-intercepts are
(−3, 0), (3, 0).
Degree is 2.
End behavior: as
x → −∞,
f(x) → −∞,
as
x → ∞,
f(x) → −∞.
y = -x² + 9
the x-intercepts are x = - 3 and x = 3 hence the factors are
(x + 3 ) and (x - 3 )
polynomial is the product of its factors
y = a(x - 3 )(x + 3) ← ( a is a multiplier )
from the end behaviour the parabola opens down and is a maximum and so the value of a is negative
y = -(x - 3)(x+3) = - (x² - 9 ) = - x² + 9
The polynomial function with the given features is f(x) = -(x + 3)(x - 3), which is a quadratic function with the required y-intercept, x-intercepts, and end behavior.
Explanation:The question involves finding a polynomial function given certain characteristics: a y-intercept of (0, 9), x-intercepts at (-3, 0) and (3, 0), a degree of 2, and specific end behavior.
Since the degree is 2, we are dealing with a quadratic function.
The x-intercepts tell us that the factors of the polynomial are (x + 3) and (x - 3).
The y-intercept indicates that when x is 0, the function equals 9.
The end behavior suggests that the leading coefficient is -1 because as x goes to infinity or negative infinity, f(x) goes to negative infinity.
Considering all the information, the function can be expressed as:
f(x) = -(x + 3)(x - 3)
To verify, expanding the factors gives:
f(x) = -(x^2 - 9)
f(x) = -x^2 + 9
This function has the required y-intercept of 9, x-intercepts of -3 and 3, and the correct end behavior.
Pls help two geometry questions attached.
Answer:
the answer is D and A hope this helps
B and D
under a counterclockwise rotation about the origin of 270°
a point (x, y ) → (y, - x )
A(5, 4 ) → A'(4, - 5 )
B(6, 9 ) → B'(9, - 6 )
C(2, 8 ) → C'(8, - 2 )
These points correspond to the coordinates in the diagram → B
under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x )
A(- 1, 2 ) → A'(- 2, - 1 )
B(-1, 5 ) → B'(- 5, - 1 )
C(- 3, 5 ) → C'(- 5, - 3 )
D(- 3, 2 ) → D'(- 2, - 3 )
These points correspond to the coordinates in the diagram → D
With this diagram, what could be the values of m and n (Picture)?
Answer:
m=-3/8, n=12
Step-by-step explanation:
Answer: m=-3/8, n=12
Step-by-step explanation: Got it right on TTM
Mr. Marquis had a metal pipe that was 1,000 cm in length. He cut the pipe into 16 shorter pieces of equal length. How long was each piece?
To answer this, divide 1000 cm by 16:
1000 cm
------------------ = 66 2/3 cm per piece
16 pieces
One number is 11 more than twice another number. If the sum of the numbers is twice their difference, find the numbers.
Answer: 33 and 11
Step-by-step explanation: Both 11 and 33 would be the answr because 11 by the 2wice would be 33, and also 11 it's self would be the answer.
The numbers are x = 33 and y = 11 respectively.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is that one number is 11 more than twice another number and the sum of the numbers is twice their difference
Assume that the numbers are (x) and (y). Then, we can the model the equation as follows -
x = 2y + 11
x + y = 2(x - y)
Simplifying the equations, we can write -
x + y = 2(x - y)
x + y = 2x - 2y
2x - x - 2y - y = 0
x - 3y = 0
y = x/3
Put y = x/3 in x = 2y + 11, we get -
x = 2x/3 + 11
x - 2x/3 = 11
x/3 = 11
x = 33
then y = 33/3 = 11
Therefore, the numbers are x = 33 and y = 11 respectively.
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(x-7)^2=0 does this have a real solution?
Yes. You can solve in the usual way.
Take the square root:
... x-7 = ±√0 = 0
Add 7:
... x = 7
_____
There is one distinct real solution (with multiplicity 2).
The fair market rental rate for Fort Wayne was $611 in 2011 and $567 in 2005. Find the unit rate of change for rent in Fort Wayne during this period
If you assume the rental cost changes in a linear fashion, the change over 6 years was $44. The "unit rate of change" is then $44/(6 years) ≈ $7.33/year.
758x93= What is the answer and how to solve it
The answer is 70494.
HELP ASAP 30 POINTS
Who kills the Duke of Buckingham?
a.
the Comte de Wardes
c.
D'Artagnan
b.
Queen Anne
d.
Felton
D. John Felton kills the Duke of Beckingham
Here is some proof: https://en.wikipedia.org/wiki/John_Felton_(assassin)
Answer:
d
Step-by-step explanation:
School guidelines require that there must be at least two shop around for every 25 students going on the school trip how many chaperones must there be for 53 students
2*53/25 = 4.24
4 is not enough to maintain the required ratio, so there must be 5 chaperones, minimum.
_____
Presumably, the guidelines contain additional information regarding whether the number of chaperones can be odd. Sometimes, two are required so that one can be taking care of a student while the other handles the remaining students (or calls for emergency aid). In that case, the minimum for 53 students may be 6 chaperones.
I need help on this one please and thank you
I got this one wrong please help I don't understand must so work...
If each item Kathy puts in the box weighs 2 kg, then the weight of p items will be 2p kilograms. Since the box weighs 1 kg, the total weight in kilograms will be ...
... 2p + 1
Kathy wants that value to be less than or equal to 10 kg, so her inequality will be
... 2p + 1 ≤ 10 . . . . . corresponds to selection D