Answer:
Solution : Option A and Option C
Step-by-step explanation:
To find the values of x that are not present in the domain, we can start by making the denominator equal to 0. This would make the fraction undefined, and hence will solve for the value(s) of x that do not belong to the function -
x² - 3x - 10 = 0,
(x + 2)(x - 5) = 0,
x = - 2 and x = 5
Domain {x | x ≠ - 2 ≠ 5 }
Hence our solution(s) are option a and option c
Answer:
[tex]\huge \boxed{x=5 \ \mathrm{and} \ x=-2}[/tex]
Step-by-step explanation:
The domain of a function are all possible values for x.
To find the domain of a rational function, we set the denominator equal to 0, and solve for x. Those values of x are not included in the domain, since the denominator of 0 would make the rational function undefined.
[tex]x^2-3x-10 =0[/tex]
Factoring left side of the equation.
[tex](x+2)(x-5)=0[/tex]
Setting the factors equal to 0.
[tex]x+2=0 \\ \\ x=-2 \\ \\ \\ \\ x-5=0 \\ \\ x=5[/tex]
The values of x that are not in the domain of the rational function are x = -2 and x = 5.
is -25 irrational or rational
Answer:
Rational
Step-by-step explanation:
Rational numbers are numbers that can be written as a ratio of integers.
-25 can be written as -25 / 1. So it is rational.
(20 points!) Simplify i^31. A. 1 B. -1 C. i D. -i
Answer:
-i
Step-by-step explanation:
rewrite
one to any power is one
multiply
rewrite
Answer:
-i
Step-by-step explanation:
i^30 × i
(i^2)^15 × i
(-1)^15 × i
-1 × i
-i
How many integers at between 15 and 63?
Answer:
47
Step-by-step explanation:
Ok first lets do this with small numbers like 10 and 5. How many integers are between 10 and 5? which does not include 10 or 5. You do 10 minus 5 which is 5, but if you count how many integers are between them with your fingers you get 4.
so now you know to get the integers between 2 large numbers you subtract like normal then you mines a 1.
so 63 - 15 - 1 = 47
There are 47 integers between 15 and 63
Hope this helps :)
There have been 47 integer arithmetic in the range of 15 to 63.
Number of integer between two number = Highest number - Lowest number - 1
So,
Number of integer between 15 and 63
63 - 15 - 1
63 - 16= 47
So,
Number of integer between 15 and 63 = 47
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please help me answer the assignment in the picture.
Mean: 52.2 because its the average of all the numbers
Range: 2 because (60-58)
Median: 53 because its in the middle of all the numbers
Mode : None
The sum of an AP is 549. Given that the common difference is 3,find
i. The 56th term
ii. The sum of its 32 terms
Step-by-step explanation:
[tex]\red\star[/tex]Given[tex]\blue\star[/tex]sn = 549
[tex]\blue\star[/tex] d = 3
[tex]\star[/tex]Find[tex]\blue\star[/tex]56th term of Ap
[tex]\blue\star[/tex]the sum of 32 tem
Simplify the expression, show all of your work 18 : 2x3 / 5-2
Answer:
2⋅(x 3 −5)
________
5
Step-by-step explanation: I hope this really help!
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x3" was replaced by "x^3".
STEP
1
:
x3
Simplify ——
5
Equation at the end of step
1
:
x3
(2 • ——) - 2
5
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
2 2 • 5
2 = — = —————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2x3 - (2 • 5) 2x3 - 10
————————————— = ————————
5 5
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
2x3 - 10 = 2 • (x3 - 5)
Trying to factor as a Difference of Cubes:
3.2 Factoring: x3 - 5
Theory : A difference of two perfect cubes, a3 - b3 can be factored into
(a-b) • (a2 +ab +b2)
Proof : (a-b)•(a2+ab+b2) =
a3+a2b+ab2-ba2-b2a-b3 =
a3+(a2b-ba2)+(ab2-b2a)-b3 =
a3+0+0+b3 =
a3+b3
Check : 5 is not a cube !!
Ruling : Binomial can not be factored as the difference of two perfect cubes
Polynomial Roots Calculator :
3.3 Find roots (zeroes) of : F(x) = x3 - 5
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -5.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,5
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -6.00
-5 1 -5.00 -130.00
1 1 1.00 -4.00
5 1 5.00 120.00
Polynomial Roots Calculator found no rational roots
Final result :
2 • (x3 - 5)
————————————
5
Answer:
2⋅(x 3 −5)
________
5
Step-by-step explanation:
help and ill give brainly.. trust me its easy
Answer:
a - right trapezoid
b - isosceles triangle
c - equilateral triangle
d - kite
Answer:
A) [tex]\huge\boxed{Trapezoid }[/tex]
Because of a pair of parallel lines.
B) [tex]\huge\boxed{Isosceles \ Triangle}[/tex]
Because of two equal sides.
C) [tex]\huge\boxed{Equilateral \ Triangle}[/tex]
Because of three equal sides.
D) [tex]\huge\boxed{Kite}[/tex]
Having 2 pairs of equal adjacent sides.
P(x) = 3x^4 – 2x3 + 2x² – 1
What is the remainder when P(x) is divided by (x + 1)?
Answer:
6
Step-by-step explanation:
Hello, we can use the Remainder Theorem, so the remainder is P(-1)
[tex]P(-1)=3+2+2-1=6[/tex]
Thanks
Your neighbor has a square shaped pool with side lengths of 3a5. What is the area of the pool?
Answer:
15a
Step-by-step explanation:3times3times3times3times3
help if you’re feeling generous today!! thank youu
Answer:
The answer is option 3Step-by-step explanation:
4x² - 2y
when
x = - 2 and y = - 1
Substitute the values of x and y into the expression and simplify
That's
[tex]4( - 2)^{2} - 2( - 1) \\ = 4(4) + 2 \\ = 16 + 2[/tex]
We have the final answer as
18Hope this helps you
Answer:The answer will be -18 because you are subtracting 2 two times!!
Step-by-step explanation:Simply step by step by step answer Hope this helps!️.
Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day. If r percent of the store's revenue from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of Newspaper B. Write an expression in terms of r and p.
Answer:
[tex]\mathbf{r = \dfrac{400p }{ 500 -p}}[/tex]
Step-by-step explanation:
Given that:
Last Sunday a certain store sold copies of Newspaper A for $1.00 each
A = 1
and copies of Newspaper B for $1.25 each,
B = 1.25
and the store sold no other newspapers that day. If r percent of the store's revenue from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of Newspaper B.
Then ;
[tex]r = \dfrac{A}{A+1.25B} \times 100[/tex] --- (1)
[tex]p = \dfrac{A}{A+B} \times 100[/tex] --- (2)
From (2)
[tex]A+B = \dfrac{A}{p} \times 100[/tex]
[tex]B = \dfrac{A}{p} \times 100-A[/tex]
[tex]B = \dfrac{A( 100-p)}{p}[/tex]
Substituting the value of B into equation (1), we have:
[tex]r = \dfrac{A}{A+1.25 \times { \dfrac{A( 100-p)}{p}}} \times 100[/tex]
[tex]r = \dfrac{A}{A+1.25 \times { A( 100-p)}} \times 100p[/tex]
[tex]r = \dfrac{100p}{p+125 -1.25 p}[/tex]
[tex]r = \dfrac{100p}{125 -0.25 p}[/tex]
multiplying both numerator and denominator by 4; we have
[tex]r = \dfrac{4(100p) }{ 4(125 -0.25) p}[/tex]
[tex]\mathbf{r = \dfrac{400p }{ 500 -p}}[/tex]
how many boards,each 2 ft and 8 inches long, can be cut from a board 16 inches long?
Answer: 2
Step-by-step explanation: 16/8=2
find the product of : 0.017 and 10
please type the steps you used to set up the problem and type your steps to solve.
Answer:
0.17
Step-by-step explanation:
0.017 times 10 equals to 0.17
Simplify: 6-a(4-a)-2a
Answer:
a^2 - 6a + 6
Step-by-step explanation:
6−a(4−a)−2a =
6+a2+−4a+−2a
6+a2+−4a+−2a
(a^2)+(−4a+−2a)+(6)
a2+−6a+6
=a^2−6a+6
integrated Mann ist Quarter)
English
Given f(x) = 3x-1 and g(x) = 2x-3, for which value of x does slx) = f(2)?
3
PRO X-2
5
O X=
2
O x=4
Answer:
[tex]g(x)=f(2)[/tex] for x = 4
Step-by-step explanation:
If [tex]f(x)=3x-1[/tex]
and [tex]g(x)= 2x-3[/tex]
Then for which value of "x" does [tex]g(x)=f(2)[/tex] ?
So start by evaluating what [tex]f(2)[/tex] is:
[tex]f(x)=3x-1\,\,\,\,therefore\,\,\,\, f92)=3\,(2)-1=6-1=5[/tex]
Then,we have to find for which value of x [tex]g(x)=5[/tex]
so we write g(x) explicitly:
[tex]2x-3=5\\2x=5+3\\2 x = 8\\x = 8/2\\x=4[/tex]
Doug can download new songs for $1.19 each. Write an equation to show how many songs he can download for $12.00.
calculate the mid points of the line segments below using the midpoint formula given two endpoints (7,6) (10,10)
Answer: (8.5, 8)
Step-by-step explanation:
--19 - 3x = -2 - 3 (x + 4) = Can someone plsss help me with this problem?
Answer:
-19-3x= -1(x+4).
-19-3x= -5(x+4).
-19-3x= -5x-1.
-19+1= -5x+3x.
-18= -2x.
x=9.
Camden is taking a multiple choice test with a total of 50 points available. Each question is worth exactly 5 points. What would be Camden’s test score out of 50 if he got 2 questions wrong? What would be his score if he got x questions wrong
Answer:
1. 40 points2. 50-x pointsStep-by-step explanation:
1. Given that the total number of points is 50
2. Each question is worth 5 points
We can now calculate the number of questions by dividing the total points by the worth of each question
the number of question is = 50/5= 10
hence there are 10 questions available
if he misses 2 questions, which will amount to 10 points his score will be
50-10 = 40 points
Hence if he got x questions wrong his score will be
50-x points
Ben is 6 feet tall. At a certain time of day, Ben's shadow appears on the ground to be 6 feet long. What is the angle of elevation of the sun at this time
Step-by-step explanation:
let us consider the elevation of the sun is x
then
x=6×6
x=36
R is between Q and S. If
RS = 44.6 and
SQ = 68.4, find QR.
Answer:
23.8
Step-by-step explanation:
To find the value of QR, look over the information given. R is a point between the points Q and S. Since the value of SR is 44.6, and the value of SQ is 68.4, subtract 44.6 from 68.4 to get 23.8, which will be the answer.
Question 18 (5 points)
Which one of the following statements expresses a true proportion?
A) 3:4 = 9:12
B) 2:1 = 1:2
C) 7:9 = 8:9
D) 54:9 = 6:3
Answer:
A is the true proportion
Step-by-step explanation:
3/4 = 9/12 = 36 = 36
How many solutions does 10 + 5c = 5c
Answer:
No solutions
Step-by-step explanation:
Step 1: Write out equation
10 + 5c = 5c
Step 2: Subtract 5c on both sides
10 + 5c - 5c = 5c - 5c
10 ≠ 0
Since 10 doesn't equal 0, we do not have a solution for this equation.
Answer:
no solutions
Step-by-step explanation:
Let's solve your equation step-by-step.
10+5c=5c
Step 1: Simplify both sides of the equation.
5c+10=5c
Step 2: Subtract 5c from both sides.
5c+10−5c=5c−5c
10=0
Step 3: Subtract 10 from both sides.
10−10=0−10
0=−10
Answer:
There are no solutions.
HOPE THIS HELPS!!!!!! :)
<3333333333
helppppppppppppppppppppppppppp brainliest!!!
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
r = [tex]\frac{5}{8}[/tex] t - 9 ← is in slope- intercept form
with y- intercept c = - 9
Function 2 has the ordered pair (0, - 9 )
This indicates that when t = 0 , r = - 9
This is the y- intercept at - 9
Thus both functions have the same y- intercept
The net force, F newtons, needed to push a block
to the mass, m kg, of the block. When m = 5
F = 49.
(i) Find an equation connecting F and m.
(ii) Find the value of F when m = 14.
(iii) Calculate the value of m when F= 215.6.
(iv) Draw the graph of F against m.
AMSWER
F=m×a
this implies that
a=F/m
a=49/5
a=9.8 m/s^2
(i)F=(m×9.8)N
(ii)F=14×9.8=137.2
(iii)m=F/a
m=215.6/9.8
m=22kg
Help me answer this, please!
Answer: see attachments
Step-by-step explanation:
Ashley is looking for ways to save some spending money for her senior class trip to Mexico. She has decided to
stop eating chocolate for one whole year and instead save any money she would have spent on chocolate for the
trip. If Ashley typically spends $2.50 a week on chocolate, how much money, not accounting for interest, can she
expect to save for the trip in exactly one year? $|||
Answer:
She would have 130 dollars
Step-by-step explanation:
There are 52 weeks in a year. So multiply 2.50 by 52. She would have 130 dollars.
Ashley can expect to save $130 for the trip in exactly one year.
Ashley decided to stop eating chocolate for one whole year to save some spending money for her senior class trip to Mexico.
The amount Ashley typically spends a week on chocolate = $2.50.
We have to find how much Ashley can save in one year if we can save $2.50 per week.
How many weeks in a year?There are 365 days in a year and we have 7 days in a week.
If we divide 365 by 7 we get,
365 / 7 = 52.14.
which means 52 weeks.
So in one year, we have 52 weeks.
We can write this statement "Ashley typically spends $2.50 a week on chocolate" as :
1 week = $2.50
Multiply by 52 on both sides.
we get,
52 x 1 week = 52 x $2.50
52 weeks = $130
Thus, we can say that in one year Ashley can save around $130 if she saves $2.50 in a week.
Learn more about savings word problem here:
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D2 =4 is true for ? Please help and explain how to do these kind of problems I’m strugglingggg
Answer:it’s ask me in Jakes class we’re numbered in Order from 1 to 24 jake was asked to choose classmates numbered with 5 to be in his group witch numbered could be the number of classmates in his group
Step-by-step explanation:
The elevation at Mt. Everest is 29,028 feet. The elevation of the Dead Sea is -485 feet. What is the difference in the elevation between Mt. Everest and the Dead Sea
Micah harvested 28 watermelons from his garden. He sold w watermelons at the market. Which expression describes the number of
watermelons that Micah has remaining?
w
28 + w
w-28
d
28 - w