[tex]\boxed{\sf \displaystyle{\lim_{x\to a}}(x^n)=a^n}[/tex]
[tex]\\ \sf\longmapsto \displaystyle{\lim_{x\to \infty}}(\sqrt{3x}-\sqrt{x-5})[/tex]
[tex]\\ \sf\longmapsto \displaystyle{\lim_{x\to \infty}}\sqrt{3x}-\displaystyle{\lim_{x\to \infty}}\sqrt{x-5}[/tex]
[tex]\\ \sf\longmapsto \infty^{\dfrac{1}{2}}-\sqrt{\infty-5}[/tex]
[tex]\\ \sf\longmapsto \infty-\sqrt{\infty}[/tex]
[tex]\\ \sf\longmapsto\infty-\infty[/tex]
[tex]\\ \sf\longmapsto\infty[/tex]
Need help ASAP PLEASE!!!
Answer:
x=1
Step-by-step explanation:
3/2+1/2x=2x
or,3*1+1*1x/2=2x
or,4x/2=2x
or,4x-2x=2
or,x=2/2
so,x=1
6 + 5 - 4x = 1 - 4x
Pls hurry STEP BY STEP
Answer:
There are no solutions
Step-by-step explanation:
6+5−4x=1−4x
6+5+−4x=1+−4x
(−4x)+(6+5)=−4x+1
−4x+11=−4x+1
−4x+11=−4x+1
−4x+11+4x=−4x+1+4x
11=1
11−11=1−11
0 = −10
Answer:
10 = 0
Step-by-step explanation:
6 + 5 - 4x = 1 - 4x
11 - 4x = 1 - 4x
11 -1 = -4x +4x
10 = 0
I just wanted to ask how to do the inverse operation?
Answer:
Inverse operations are operations that are opposite or “undo” each other. For example, addition undoes subtraction and division undoes multiplication.
Step-by-step explanation:
I have to factorise the following
|x-2| > square root (x)
Answer:
x = 0
Step-by-step explanation:
I. When x cant be negative value and
II. Find possible positive value
If x = 0
|0-2| > [tex]\sqrt{0}[/tex]
|-2| > 0
2 > 0 true
If x = 1
|1 - 2| > [tex]\sqrt{1}[/tex]
| -1 | > 1
1 > 1 false
More question or something to discuss, leave comment below
Answer:
Step-by-step explanation:
x ≥ 0 (because the square root)
[tex]|x-2| > \sqrt{x}\\\\1)\ if \ x-2 >0 \ (\ or\ x > 2):\\|x-2|=x-2\\\\x-2 > \sqrt(x) \Longrightarrow\ (x-2)^2 > x\\\Longrightarrow\ x^2-4x+4 > x\\\Longrightarrow\ x^2-5x+4 > 0\\\Longrightarrow\ (x-1)(x-4) > 0\\\Longrightarrow\ x<1\ or\ x>4 \Longrightarrow\ x >4 \ (since\ x>2)\\\\[/tex]
[tex]2)\ if\ x-2 <0 \ (\ or\ x < 2):\\|x-2|=-(x-2)=-x+2\\\\-x+2 > \sqrt(x) \Longrightarrow\ (-x+2)^2 > x\\\Longrightarrow\ x^2-4x+4 > x\\\Longrightarrow\ x^2-5x+4 > 0\\\Longrightarrow\ (x-1)(x-4) > 0\\\Longrightarrow\ x<1\ or\ x>4 \Longrightarrow\ x\geq 0\ and \ x\leq 1 \\[/tex]
Sol= [0, 1] ∪ ]4,+∞) ***** corrected
Anyone know how to solve it?
Answer:
[4 -2 -19]
[-1 1 8]
Step-by-step explanation:
[ 2 5] * [a b c] = [3 1 2]
[ 1 3] ld e f] [1 1 5]
[2a+5d 2b+5e 2c+ 5f] = [3 1 2]
[a+3d b + 3e c + 3f] [1 1 5]
Solving systems of equations:
2a + 5d = 3
a + 3d = 1
2a + 6d = 2
Subtract -d = 1 so d = -1
and a = 1 - 3d = 1 - 3(-1) = 4
So d = -1 and a = -4.
In the same way we find that b = -2, e = 1, c = -19, f = 8.
If 1 lb = 2 cups what does 1/2 cups equal?
PLEASE HELP
Answer:
16 ounces equals one pound or two cups. Another way to look at the equivalent is that one cup weighs eight ounces and therefore two cups equal 16 ounces and this is the same weight of one pound--16 ounces.
Step-by-step explanation:
brainiest to whoever right
Answer:
Area of a triangle
Step-by-step explanation:
1/2bh is used to find the area for a triangle
true or false An insurance broker is the best person to advise you on the type of insurance you need.
Answer:
that's sooooooo trued to me
Solve the problem please
Answer:
x = 9±sqrt(7)
Step-by-step explanation:
3(x-9)^2 =21
Divide each side by 3
3/3(x-9)^2 =21/3
(x-9)^2 =7
Take the square root of each side
sqrt((x-9)^2) =±sqrt(7)
x-9 =±sqrt(7)
Add 9 to each side
x = 9±sqrt(7)
Express the ratio as a unit rate.
4.5 miles in 25 minutes
Answer:
10 mins
Step-by-step explanation:
This is a fraction equal to
25 minutes ÷ 2.5 4.5
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2.5
25 minutes ÷ 2.5
2.5 4.5 ÷ 2.5
=
10 minutes
1 4.5
=
10 minutes
4.5
= 10 minutes per 4.5
The picture above circled one
Write a formula for the number of subsets of any set; identify any symbols use
Please help me!!
Mark brainliest!!
Formula-
If a set has “n” elements, then the number of subset of the given set is 2n and the number of proper subsets of the given subset is given by 2n-1. Consider an example, If set A has the elements, A = {a, b}, then the proper subset of the given subset are { }, {a}, and {b}
Symbol that can be used-
The symbol "⊆" means "is a subset of". The symbol "⊂" means "is a proper subset of".
Hope it helps you... pls mark brainliest if it helped you.
how do i express x^2-3x into the form of (x-m)^2+n. I will give brainliest to correct answer
Step-by-step explanation:
let's simply do the multiplications and then compare with the original.
(x-m)² + n
right ?
or is it
[tex] {(x - m)}^{2 + n} [/tex]
let's go for the first.
x² - 2mx + m² + n = x² - 3x
-2mx + m² + n = -3x
fun there we see two things :
-2m = -3
m = 3/2
and
m² + n = 0
(3/2)² = -n
9/4 = -n
n = -9/4
so our transformed expression looks like
(x - 3/2)² - 9/4
What is the volume of a cone with a height of 9.5 inches and a radius of 8 inches? Cone V = 1 3 Bh 1. Rewrite the formula for the base area: V = 1 3 πr2h
2. Substitute the values into the formula: V = 1 3 π(82)(9.5)
3.Evaluate the power:V = 1 3 π(64)(9.5)
4.Simplify using multiplication: V = 1 3 π(608)
The cone has a volume of?
Answer:
608/3
Step-by-step explanation:
I got it correct
Help please! Find the area of the shape below. (Show work)
9514 1404 393
Answer:
292 yd²
Step-by-step explanation:
We can find the area of the remaining L shape by subtracting the area of the 21×22 rectangle at lower left from the 26×29 overall rectangle.
shape area = (26 yd)(29 yd) -(21 yd)(22 yd) = 754 yd² -462 yd²
shape area = 292 yd²
__
Additional comment
The area of a rectangle is the product of its length and width.
There are many ways the area of this shape can be calculated. The area can be divided into two rectangles, two trapezoids, three rectangles, and other ways.
If you cut up the given shape into smaller pieces, you will generally need to know the widths of the arms of the L. One of those is shown as 7 yd. The other is 26-21 = 5 yd.
Using the method we did, we only needed the dimensions shown on the figure.
Problem 1.3
T
Use what you know about area to determine the area of
triangle T
Submit
5
3
Answer: it's supposed to be 60, check
Step-by-step explanation:
Perform the indicated operation.
(7x + 2x2 - 6x - 4) - (2x+3x2 - 3x + 11)
(7x + 2x2 - 5x - 4) - (2x + 3x² 3x + 11) =
(Simplify your answer. Do not factor.)
Step-by-step explanation:
1st.
(7x+2×2-6x-4) - (2x+3×2-3x+11)
(7x+4-6x-4)-(2x+6-3x+11)
collect like terms
(7x-6x-4+4)-(2x-3x+11+6)
(x+0)-(-x+17)
multiply - by the bracket
x+0+x-17
collect like terms
x+x+0-17
2x-17=0
2x=17
divide both sides by the coefficient of x
2x/2=17/2
x=17/2
Solve for d when t = 0, t = 3, t = 5 d =2t
Answer:
When t = 0, d = 0When t = 3, d = 6When t = 5, d = 10Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
PART ONE: Find d when t = 0
Given expression
d = 2t
Substitute value into the expression
d = 2 (0)
d = 0PART TWO: Find d when t = 3
Given expression
d = 2t
Substitute value into the expression
d = 2 (3)
d = 6PART THREE: Find d when t = 5
Given expression
d = 2t
Substitute value into the expression
d = 2 (5)
d = 10Hope this helps!! :)
Please let me know if you have any questions
Mabel needs to order 8,742 binder clips for an upcoming conference. If the binder clips come in boxes of 47, how many boxes should Mabel order?
HURRY QUICK PLEASE HELP!!
Which expression is equivalent to 10V5?
A.V500
B. V105
C. V50
D. V15
Answer:
A
Step-by-step explanation:
Answer:
Answer: A. √500
Step-by-step explanation:
[tex]10 \sqrt{5} \\ = (\sqrt{ {10}^{2} } ) \times ( \sqrt{5} ) \\ = \sqrt{100} \times \sqrt{5} \\ = \sqrt{500} [/tex]
Find the angle 0,in radians, in the given right triangle. The length of the side adjacent to 0 is 17
and the length of the side opposite is 11.
9514 1404 393
Answer:
0.574305 radians
Step-by-step explanation:
The tangent ratio is defined as ...
Tan = Opposite/Adjacent
tan(θ) = 11/17
θ = arctan(11/17) ≈ 0.574305 radians
_____
Make sure your calculator is in Radians mode.
Please help quickly as possible Thank you!
Answer:
A) [tex]\frac{3}{8}[/tex], [tex]\frac{2}{5}[/tex], [tex]\frac{1}{2}[/tex], [tex]\frac{7}{10}[/tex]
B) 2.53, 32.51, 514.37
Step-by-step explanation:
A) Multiply all of them to equal 80
1/2 = 40/80 (1 x 40) (2 x 40)
2/5 = 32/80 (2 x 16) (5 x 16)
3/8 = 30/80 (3 x 10) (8 x 10)
7/10 = 56/80 (7 x 8) (10 x 8)
B) Decimals are easy 1.10 < 1.20 since one is still greater than the other.
A bakery sells 12 gourmet orange-zest cupcakes for $36.00. Select all the statements that are true.
Answer:
wut are the statements?
Step-by-step explanation:
what is the symbol for line
Answer:
the symbol is ↔
A tower is 320 feet tall. A model is being built for an architecture project and the model is 8 inches tall. Write the
information that completes the scale for the model. Complete them so the 320 foot height of the tower and the 8 inch height
of the model are still valid for every case.
1 inch : _______ feet
Answer:
640 feet
Step-by-step explanation:
8 = 320
16 = 640
Answer:
640
Step-by-step explanation:
8:320
16: ?
8*2=16
320*2=640
2x-3y=6 and x+3y=3
help me I cannot understand it please in substitution method
Answer:
[tex]thank \: you[/tex]
Answer:
Take 2x- 3y= 6 as equation 1
And
x+ 3y= 3 as equation 2
Now add both equation
2x - 3y = 6
x + 3y = 3
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
3x 0 = 9
We can also write 3x 0= 9 as 3x = 9
Now we have to solve 3x =9
3x = 9
x = 9/3
x= 3
I hope this will help you
simplify y + 5 - y - 6
Answer:
-1
Step-by-step explanation:
Subtract the numbers: y+5-y-6
Combine like terms: y-1-y
= -1
Name the place value to which each number was rounded 16.932 to 20
Hi :)
Rounded to the tenth place value.
16 to 20
Rounding to the nearest whole number means converting a number to an approximate value that is easier to use and remember. The place value to which 16.932 was rounded is 17.
What do you mean by nearest whole number?Rounding to the nearest whole number means converting a number to an approximate value that is easier to use and remember. Usually, decimal numbers and fractions are rounded to the nearest whole number with the help of the appropriate rules.
To round 16.932 to the nearest whole number consider the tenths’ value of 16.932, which is 9 and equal or more than 5. Therefore, we have to round up the whole number part of 16.932, 16, increases by 1 to 17, and the decimal point and all digits (.932) are removed.
16.932 rounded to the nearest whole number = 17
Therefore, The table ahead contains starting numbers close to 16.932 rounded to the nearest basic counting number.
Hence, the place value to which 16.932 was rounded is 17.
Learn more about Rounding off Number here:
https://brainly.com/question/17218460
#SPJ2
what is f(x) = x2 + 4x in standard form
Answer:
(x) =x2+4x
x=6x+x
=6x
Step-by-step explanation:
right answer is 6x
5. A 12 sided diɛ is rolled. The set of equally
likely entene is 21 - 123 Find the probability
of rolling a number Less than 19
Answer:
Step-by-step explanation: