Answer:
there is no real solution
Step-by-step explanation:
There is no number that, when squared, produces a negative value. A negative multiplied by a negative gives a positive, and a positive times a positive gives a positive. You can however have a ± symbol to indicate that the root of 36 could be either positive or negative
The value of nCn - 1 + nCn - 2 is
(a) n/2
(b) n(n + 1)/2
(c) n(n-1)/2
(d) (n + 1)²/2
Step-by-step explanation:
We have,
[tex]\displaystyle\sf{\,^{n}C_{n-1}+\,^{n}C_{n-2}}[/tex]
[tex]\displaystyle\sf{=\dfrac{n!}{(n-1)!(n-(n-1))!}+\dfrac{n!}{(n-2)!(n-(n-2))!}}[/tex]
[tex]\displaystyle\sf{=\dfrac{n!}{(n-1)!(n-n+1)!}+\dfrac{n!}{(n-2)!(n-n+2)!}}[/tex]
[tex]\displaystyle\sf{=\dfrac{n!}{(n-1)!(1)!}+\dfrac{n!}{(n-2)!(2)!}}[/tex]
[tex]\displaystyle\sf{=\dfrac{n(n-1)!}{(n-1)!(1)!}+\dfrac{n(n-1)(n-2)!}{(n-2)!(2)!}}[/tex]
[tex]\displaystyle\sf{=\dfrac{n}{1}+\dfrac{n(n-1)}{2}}[/tex]
[tex]\displaystyle\sf{=n+\dfrac{n^2-n}{2}}[/tex]
[tex]\displaystyle\sf{=\dfrac{2n+n^2-n}{2}}[/tex]
[tex]\displaystyle\sf{=\dfrac{n^2+n}{2}}[/tex]
[tex]\displaystyle\sf{=\dfrac{n(n+1)}{2}}[/tex]
Using the combination formula, it is found that the value of the expression is given by:
(b) n(n + 1)/2
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem:
[tex]C_{n, n-1} = \frac{n!}{(n-1)!(n - n + 1)!} = \frac{n(n-1)!}{(n-1)!} = n[/tex]
[tex]C_{n, n-2} = \frac{n!}{(n-2)!(n - n + 2)!} = \frac{n(n-1)(n-2)!}{(n-2)!2!} = \frac{n(n-1)}{2}[/tex]
Then, adding these values:
[tex]n + \frac{n(n-1)}{2} = \frac{2n + n^2 - n}{2} = \frac{n(n + 1)}{2}[/tex]
Hence option b is correct.
More can be learned about the combination formula at https://brainly.com/question/25821700
I’d appreciate it please helpppp
Answer:
The answer is B. a proportional graph is a straight line that always goes through the origin 0, 0
Mia is solving the equation x2 – 12x = 1. Which value must be added to both sides of the equation to make the left side a perfect-square trinomial?
9
-9
36
8
The value to be added to both sides of the equation to make the left side a perfect square trinomial is; -36.
To make the equation x2 – 12x = 1 look similar to the completing the square kind of expression where the left hand side of the equation becomes a perfect square, we must do the following;
First, the completing the square method usually takes the form; x² + bx = (x + b/2)² + cIn this scenario, the term (x² - 12x) can be rewritten as; (x - 6)² - 36.
This so because the expansion of (x - 6)² becomes;
x² - 12x + 36.Therefore, there's a need to subtract 36 from both sides of the equation so that the equation x2 – 12x = 1 is retained.
Therefore, the value to be added to both sides of the equation to make the left side a perfect square trinomial is; -36.
Read more;
https://brainly.com/question/9240658
What is this property 5+8=8+5
Answer:
this property is commutative property
Answer:
Commutative
Step-by-step explanation:
rani is 8 years older than Shweta and the sum of their ages is 26. find their ages
Answer:
Rani is 34 because she's older.
Shweta is 26. 6 year difference.
you have from 10pm to 11:30 to do a project. At 11, what fraction of the time remains
Answer:
1/3
Step-by-step explanation:
10 to 10:30
10:30 to 11
11 to 11:30
3 periods of time
10 to 11 is 2/3 periods
3/3 - 2/3 = 1/3
use percent proportion 50 is 25%
Answer:
By using the formula, Parts /whole = percent/100, ⇒ 25/ 50 × 100 = 50%. So, 50 % of 50 is 25 proportion.
8x2 – 24 = ?
Choose 1 answer:
A 8(22 – 3)
B.
8x (x2 – 3)
8(x – 3)
8x(x – 3)
8x² - 24 = 8 (x² - 3)
The graph of a linear function f passes through the point (3, -10) and has a slope of -5. What is the zero ?
A. 1
B. -1
C. 5
D. -5
Really need help.
Answer:A
Step-by-step explanation:
Which number is a perfect square? 68 145 169 56
Answer:
169 I think?
Step-by-step explanation:
if you look at images of number rows 169 is the only one in it with the others
The graph shows the function f(x) = x^2 in blue and another function g(x) in red. which of the following could the equation for g(x)?
g(x)=1/5x² is the equation for blue graph.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The equation of the red quadratic graph is f(x)=x²
This is the parent quadratic function or the base of the quadratic functions.
This red quadratic graph has been dilated by a certain scale factor to obtain the blue graph.
Recall that, when the scale factor is a fraction, such that 0<k<1 the graph is stretched horizontally.
The dilated graph then becomes wider than the parent function.
From the given function equations, the possible value of k can only be k=1/5
Therefore the blue graph has equation g(x)=1/5x²
Hence, g(x)=1/5x² is the equation for blue graph.
To learn more on Graph click:
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help please 25 points pleasssse
B is the midpoint of AC. AB = 6x + 1 and BC = 2x + 9. Find the length of AC. .
Answer:
8x + 10 = AC
Step-by-step explanation:
AB + BC = AC
6x + 1 + 2x + 9 = AC
8x + 10 = AC
If l || m, find the value of each missing variable(s).
Help ASAP brainliest
Answer:
you are correct
because when you add and calculate All the answers you will know it is correct
Rise over run pleaseee???
Rise = -4
Run = 3
Rise/run = -4/3
Answer:
-4/3
Step-by-step explanation:
Rise: 4
Run:3
And, this is negative because any line slanted downward right (pointing to the left) indicates it is negative.
A car that travels 20 miles in 12hour at constant speed is traveling at the same speed as a car that travels 30 miles in 34 hour at a constant speed. Which of these explains or shows why? Select all that apply.Both cars are moving 10 miles in a quarter of an hour, so they are at the same speed.Both cars are moving a multiple of 10 miles.Both cars can travel 40 miles in an hour, so they are traveling at the same speed.Both cars have moved for less than an hour, so they are traveling at the same speed.
Answer:
wait I will give the answer in 2 minutes
Step-by-step explanation
What is the value of 4C9 ?
The monthly cost of a certain texting plan is given by the function C(n)= 0.06n +9.95, where C(n) is in dollars and n is the
number of texts sent in a month. Find and interpret C(90)
Monthly Cost of Texting Plan
Ac(n)
Answer:
C(90) = 15.35
Step-by-step explanation:
Given the function, C(n) = 0.06n + 9.95:
where C = total cost of texting plan
n = number of texts sent in a month
9.95 = flat fee
To find C(90):
Substitute 90 as the input, n, for the function:
C(90) = 0.06n + 9.95
C(90) = 0.06(90) + 9.95
C(90) = 5.40 + 9.95
C(90) = 15.35
C(90) represents the cost of sending 90 texts in a month is $15.35.
Please mark my answers as the Brainliest if you find my explanations and solutions helpful :)
It started snowing at fourteen minutes to eleven in the morning. The snow stopped falling at five to midnight. How long did it snow?
Answer:
13 hours and 9 minutes
Step-by-step explanation:
Answer:
If I'm correct it should be 13 hr with an additional 9 min.
Step-by-step explanation:
what are some typical transactions that students are likely to make?
Answer:
Typical transactions include ATM withdrawals, debit card payments, and e-transfers.
pa answer po plss pls
Answer:
It is commutative property (in my opinion)
Step-by-step explanation:
-1 + 5= 4 5 - 1 =4
Both give you the same answer, thus the arrangement of the INTEGERS does not matter.
Note that I mentioned integers since this is not possible for natural numbers alone. They are not closed under subtraction. Here you -1 and 5 both of which are integers, their SUM give you an integer as well.
Hope this explanation helps!!
ay+2a=b solve for a, thanks
Answer:
ay+2a=b
a(y+2)=b (taking a common)
or,a=b/y+2
please screenshot and graph for me this makes no sense
Answer:
The x-axis
Step-by-step explanation:
This line means, the line going through [tex](1, 0)[/tex] with [tex]m=0[/tex] means there is a flat line(m=0, 0 slope) with a y-value of [tex]0[/tex] from the point given.
So, the line is [tex]y=0[/tex], i.e. the x-axis.
So, graph the x-axis and we're done!
Please add the answer, i will give brainliest
Answer:
9
Step-by-step explanation:
f(x) = 3x^2+ 4x^2 – 8x - 2
g(x) = 3x - 5
Find (f - g)(x).
Help me! It’s a short answer question!
12. Find the values of x, y, and z. The diagram is not to scale. (3 points)
360
130
630
Answer:
x=81
z=99
y=68
Step-by-step explanation:
63+36=99
180-99=81
x=81
Angles in a triangle sum to 180
180-81=99
z=99
Angles on a line sum to 180
99+13=112
180-112=68
y=68
Angles in a triangle sum to 180
if f =28 when a = 7 find f when a is 10 (direct proportion)
Answer:
f=40
Step-by-step explanation:
f=28, a=7
[tex]f \infty a \\ f = ka \\28 = k(7) \\ 28 = 7k \\ \frac{28}{7} = \frac{7k}{7} \\ 4 = k \\ k = 4 \\ f = 4a \\ a = 10 \\ f = 4(10) \\ f = 40[/tex]
Hope that this is helpful.
Have a nice day.
Multiply. Enter your answer in scientific notation.
(7 x 10^*13) (3.39 x 10^*5)=
Step-by-step explanation:
(7 x 10^*13) (3.39 x 10^*5)
= 23.73 × 10¹⁸
=2.373 × 10¹⁹
Hello there!
(7x10^13)(3.39x10^5)
70,000,000,000,000
339,000
2.373x10^19
Hope this helps!
#HaveAnAmazingDay
[tex](: GraceRosalia :)[/tex]
Arrange in order from least to greatest 0 , -1, 1/2, 4/3, 1
Answer:
-1, 0, 1/2, 1, 4/3
Step-by-step explanation: