Answer:
the correct answer is A : 2x3-1
Actually what is the meaning of numbers of terms? Example :the [PICTURE] question 1 the ans is 84 what is the 84 means? Pls answer it clearly,thanks.
WILL MARK AS BRAINLY.
Consider the expression (x+5)^2
It expands out to x^2+10x+25 which has 3 terms.
The original expression has k = 2 terms inside the parenthesis and n = 2 is the exponent.
We then see that n+(k-1) = 2+(2-1) = 3 and k-1 = 2-1 = 1 is applied to this nCr combination formula to count the number of terms. You should find the result is 3.
If you kept k = 2 the same, and bumped things up to n = 3, then you should get 4 terms when you apply that modified nCr formula. That means something like (x+5)^3 will have 4 terms after simplifying everything and combining like terms.
For binomials of the form (A+B)^n, there are n+1 terms.
-------------------------
This idea can be extended for k values that are larger than 2.
For problem 1, if n = 6 and k = 4, then we have
n+(k-1) = 6+(4-1) = 9
k-1 = 4-1 = 3
Then plugging those values into the formula you're given leads to 84. There are 84 terms in the expansion of (1+2x-7y+d)^6. Honestly, having this many terms is really difficult to verify by hand. It's not as easy compared to something like (x+5)^3. However, you can use CAS (computer algebra software) to expand out (1+2x-7y+d)^6 and confirm that there are indeed 84 terms. This is after all like terms are combined.
Problems 2 and 3 follow the same idea, but with different n and k values.
I need this done thanks
Answer:
B
Step-by-step explanation:
A translation does not change the dimensions or angles of the figure.
The only change is its position in the plane.
That is the new trapezoid is congruent to the original trapezoid.
19 - (2⁴ + 3) Please help me
Answer:
your answer would be zero,nothing,0.
Step-by-step explanation:
Answer:
I THINK ITS 0....
Step-by-step explanation:
PLEASE HELP ME TGHIS IS DUE TODAY :( IM SCARED IF ITS WRONG
the question is in the diagram below DE is parallel to XY what is the value of X ?
Hey there! Here is your answer:
The answer is 65° because 115° and another number has to add up to 180°
PLEASE HELP ASAP!!!
How do you know where to place the decimal point in the quotent when dividing a decimal by a whole number?
The sales tax in Mansfield is 8.25% on anything purchased. What is the percent of the original price you will pay? Write your answer as a percent, decimal, and fraction.)
Create a word problem using 30+2d as the answer
Answer:
Sonya pays a flat fee of $30 for her phone bill and pays $2 per gigabyte she uses per month. Put Sonya's bill as an equation with d being how many gigabytes she uses per month.
Step-by-step explanation:
We get the flat fee of $30 from "30 + 2d" and the $2 per gigabyte from "30 + 2d" and since we want to find out Sonya's total bill, that's where the + in "30 + 2d" comes from. We want the variable to be d therefore d is how many gigabytes she uses per month.
SCALE
The two containers are mathematically similar in shape.
The larger container has a volume of 3456 cm3 and a surface area of 1024 cm2.
The smaller container has a volume of 1458 cm3.
Calculate the surface area of the smaller container.
Answer:
1458/3456 = 27/64 (simplification)
cube root of 27/64 = 3/4
square of 3/4 = 9/16
9/16 multplied by 1024 = 576.
Find the missing angle and x
the correct answer of this question is 32 I mean the value of X is 32
Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = x-4
h(x) = =x
h(x) = ÷x
Answer:
[tex]h(x) = \frac{1}{4} x[/tex]
Step-by-step explanation:
[tex]f(x) = 4x[/tex]
[tex]y = 4x[/tex]
[tex]x = 4y[/tex]
[tex]4y = x[/tex]
[tex]y = \frac{1}{4} x[/tex]
[tex]\boxed{\green{h(x) = \frac{1}{4} x}}[/tex]
HELP DUE IN 7 MINS!
Solve for x:
6x + 4 = 9x - 5
Answer: 3
Step-by-step explanation:
6x + 4 = 9x - 5
6x - 9x = -5 - 4
-3x = -9
x = 3
[tex]\\ \sf\longmapsto 6x+4=9x-5[/tex]
[tex]\\ \sf\longmapsto 9x-6x=4+5[/tex]
[tex]\\ \sf\longmapsto 3x=9[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{9}{3}[/tex]
[tex]\\ \sf\longmapsto x=3[/tex]
What is the radius of a circle whose equation is (x + - 5)2 + (y - 3)2 = 42?
2 units
4 units
8 units
16 units
Answer:
Step-by-step explanation:
The equation of the form
[tex](x-a)^2+(y-b)^2 =r^2[/tex]
has radius r.
Now your equation is
[tex](x-5)^2+(y-3)^2=42[/tex]
Hence its radius is [tex]\sqrt{42}[/tex]
The radius of the circle is root 42.
We have given that equation of the circle
[tex](x + 5)^2 + (y - 3)^2 = 42[/tex]
What is the general form of the circle?[tex](x-a)^2+(y-b)^2=r^2[/tex]here we have (a,b) as the center of the circle
r is the radius of the circle
[tex]r^2=42[/tex]
taking square root on both sides.
[tex]r=\sqrt{42}[/tex]
Therefore,The radius of the circle is root 42.
To learn more about the radius of the circle visit:
https://brainly.com/question/24375372
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4 ice cream cones cost $12 what is the cost for 16 ice cream cones?
[tex]4 \ \text{ice cream cones}\longrightarrow12\$\\\\16 \ \text{ice cream cones}\longrightarrow12\$\cdot4=\boxed{48\$}[/tex]
Please Help Me
Which equation is an identity?
A. (9x/15) + 27 = (9x/15) + (27/15)
B. 3((x/2) + 16) - 16 = (3/2)x
C. -4(3 - 2x) = -12 - 8x
D. -5((x/15) - 16) - 30 = 50 - (1/3)x
E. 36((3/4)x- 2) + 72 =-72 + 27x
Answer:
C.
Step-by-step explanation:
An equation is an identity if the equation is always true regardless of what value you replace 'x' with.
This means we need to simplify the equations above to see which one will be true for any value of 'x'.
After simplifying equation C, we get -12-8x = -12-8x. Since both sides of the equation are the same, this equation will be true regardless of what value replaces x so this equation is an identity.
3x^14 y^11 / 18x^2
please help and explain, thanks so much.
Answer:
x¹²y¹¹/6
Step-by-step explanation:
cancel 18 by 3,then minus the x¹⁴ to the 18²
but you don't have to do something on y¹¹
Use the Pythagorean Theorem to find the hypotenuse.
I'm confused on this one
4x − 8 = 12
4x − 8 + 8 = 12 + 8
4x = 20
4
4
x =
20
4
x =
how do i do it step for step
Answer:
5
Step-by-step explanation:
4x-8=12
4x=12+8
4x=20
x=20/4
=5
Step-by-step explanation:
4x-8=12
4x-8+8=12+8
4x=20
4x÷4=20÷4
x=5
(a)/(2a)+(4)/(3a^(2)) ayuda por favor
Answer:
3a^2+8/6a^2
Step-by-step explanation:
there ya go hope this helps
Point F is on line segment EG. Given FG = 3x – 5, EF = x, and
EG = 5x – 8, determine the numerical length of FG.
A line segment can have one or more points on it. The numerical length of FG is 4
Given that:
[tex]FG = 3x - 5[/tex]
[tex]EF = x[/tex]
[tex]EG = 5x - 8[/tex]
Because point F is on EG, then:
[tex]EG = EF + FG[/tex]
So, we have:
[tex]5x - 8 = x + 3x - 5[/tex]
[tex]5x - 8 = 4x - 5[/tex]
Collect like terms
[tex]5x - 4x = 8 - 5[/tex]
[tex]x =3[/tex]
Recall that:
[tex]FG = 3x - 5[/tex]
Substitute [tex]x =3[/tex]
[tex]FG = 3 \times 3 - 5[/tex]
[tex]FG = 9 - 5[/tex]
[tex]FG = 4[/tex]
Hence, the numerical length of FG is 4
Read more about line segments at:
https://brainly.com/question/1534220
Hello can someone help
Answer:
$149.44
Step-by-step explanation:
If each orange cost $0.64, you first multiply 0.64 and 154 and you get $98.56. You then subtract that number from $248 and you get your answer.
Is the point (2.3) a solution for the inequality y<2x+10 ?
Yes
No
Answer:
Yes it is
Step-by-step explanation:
Evaluate if t=-2,x=3 and z=5
4z+3x_t
Answer:
2
Step-by-step explanation:
=4 (5)+3 (3)×-2 I just swapped the alphabets into the given number
=20+9×-2 then you use the BODMAS method
=2
HELP DUE IN 10 MINUTES!!
Solve for x.
-2(-3x + 4)+ 3x - 3 = - 29
Answer:
x = -2
Step-by-step explanation:
6x - 8 + 3x -3 = -29
9x = - 18
x = -2
how do you convert a repeating decimal in the 10000 place into a fraction?
Decimal to Fraction
Converting any terminating decimal into a fraction is fairly straightforward. You count the number of decimal places, move the decimal point that number of places to the right, and put the resulting number over "1" followed by that number of zeroes.
For instance:
Convert the decimal 0.7 into a fraction.
This decimal has one decimal place, so I move the decimal point one place to the right, to get 7. Then I put this over "1" followed by one zero (otherwise known as "10") to get: 7/10
Step-by-step explanation:
HELP NEEDED !!!
find the size of unknown angles
Explanation :
The line DF is parallel to OB, therefore Angle x = Angle y.
( because, they for corresponding angle pair which are equal. )
And the angle made by an arc at center is always double the angle made by the same arc at its boundary, hence
x = 22° × 2x = 44°y = 44° ( cuz, x = y )Simplify: 3y^3 • y^2
Answer:
3y5
Step-by-step explanation:
if cos A=0.6, find the value of 5 sin A - 3 tan A
Answer:
0
Step-by-step explanation:
hopefully the picture is visible and understandable.
:)
Multiply the polynomials: (x + 3)(x2 – 5x + 12)
Answer:
x³ - 2x² - 3x + 36
Step-by-step explanation:
(x + 3)(x² - 5x + 12)
Each term in the second factor is multiplied by each term in the first factor , that is
x(x² - 5x + 12) + 3(x² - 5x + 12) ← distribute parenthesis
= x³ - 5x² + 12x + 3x² - 15x + 36 ← collect like terms
= x³ - 2x² - 3x + 36
Anyone know answer to this
The answer is 1
Step-by-step explanation:
look at the line going up and down
Answer: 1
Step-by-step explanation:
Simplify the ratio
40 : 28
Please show work! If your able too :)
Answer:
10:7
Step-by-step explanation:
ratios are simply just like fractions!
this ratio (40:28) can be re-written as 40/28
now, you can simplify this to its lowest terms
40/28=20/14=10/7
first in those steps i re wrote the question, then divided by two, then divided by two again !
so, 40:28=10:7
--------------------------------
you can even check this by cross multiplying, since ratios are fractions
[tex]\frac{40}{28} =\frac{10}{7}[/tex]
40x7=28x10
280=280
they are equivalent which means our ratio is correct :)
hope this helped <333
