Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=\sqrt{x^3-16x}[/tex]
We know that the domain of the function is the set of input or arguments for which the function is real and defined.
In other words,
Domain refers to all the possible sets of input values on the x-axis.Now, determine non-negative values for radicals so that we can sort out the domain values for which the function can be defined.
[tex]x^3-16x\ge 0[/tex]
as x³ - 16x ≥ 0
[tex]\left(x+4\right)\left(x-4\right)\ge \:0[/tex]
Thus, identifying the intervals:
[tex]-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4[/tex]
Thus,
The domain of the function f(x) is:
[tex]x\left(x+4\right)\left(x-4\right)\ge \:0\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4\:\\ \:\mathrm{Interval\:Notation:}&\:\left[-4,\:0\right]\cup \:[4,\:\infty \:)\end{bmatrix}[/tex]
And the Least Value of the domain is -4.
Rewrite x - 3y = 6 in slope-intercept form.
А
X= 3y +6
В
y=x - 2
С
у = 3х -6
D
Зу = 6-х
Answer:
use formula y=mx+c
[tex]x - 3y = 6 \\ x - 6 = 3y \\ x - \frac{6}{3} = y \\ x - 2 = y \\ y = x - 2[/tex]
so the answer is B
A triangle has sides with lengths of 6
centimeters, 11 centimeters, and 13
centimeters. Is it a right triangle? How
do you know?
Plss help
Answer:
no
Step-by-step explanation:
6^2 + 11^2 = 36 + 121 = 157
13^2 = 169
those are not equal so it is not a right triangle
If pair of dice are rolled, what is the probability of getting (i) A total of 9. (ii)
Same faces on both dices.
Answer:
I) 1/9; II) 1/6.
Step-by-step explanation:
I) a total of 9 is possible, if: 4+5; 5+4; 3+6; 6+3.
The probability of 4+5 is 1/6*1/6; of 5+4 is 1/6*1/6, of 3+6 is 1/6*1/6; of 6+3 is 1/6*1/6.
The required probability is:
1/6*1/6+1/6*1/6+1/6*1/6+1/6*1/6=1/36 *4=1/9.
II) the same faces on both dices is possible, if: 1+1; 2+2; 3+3; 4+4; 5+5; 6+6.
The probability of 1+1 is 1/6*1/6; of 2+2 is 1/6*1/6; 3+3 is 1/6*1/6; 4+4 is 1/6*1/6; 5+5 is 1/6*1/6; 6+6 is 1/6*1/6.
The required probability is:
1/6*1/6+1/6*1/6+1/6*1/6+1/6*1/6+1/6*1/6+1/6*1/6=6* 1/36=1/6
What is the area of this shape
Answer:
108 units^2
Step-by-step explanation:
(1+8)/2 = 4.5 and 4.5*24=108
If I already owe you 5 apples and now I owe you 10 more apples, how many apples do I owe you now?
Answer:
15 apples
Step-by-step explanation:
It's kinda obvious ;-;
Answer: 15 because it + so 5 + 10 = 15
Step-by-step explanation:
If:
BC= 4x + 2,
AB = 8x + 8, and
AC = 22,
Find BC.
Answer:
BC = 6.8
Step-by-step explanation:
The distance from A to B, then from B to C, is the same distance as from A to C.
Thus,
AB + BC = AC
AB = 8x + 8
BC = 4x + 2
AC = 22
AB + BC = AC
(8x + 8) + (4x + 2) = 22
Expanding the parenthesis:
8x + 8 + 4x + 2 = 22
8x + 4x + 8 + 2 = 22
12x + 12 = 22
Subtracting 12 from both sides:
12x = 10
Dividing both sides by 12:
x = 10/12 = 1.2
x = 1.2
We're looking for BC. As we know,
BC = 4x + 2
Let's now put in x = 1.2 into this equation:
BC = 4x + 2
BC = 4 * 1.2 + 2
Since 4 * 1.2 is 4.8:
BC = 4.8 + 2
BC = 6.8
Answer: BC = 6.8
The result
[5+10]/4=
Answer:[5+10]/4= 3.75 Hope these helps!
Step-by-step explanation:
"" Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (0, 11, −9) and parallel to the line x = −1 + 3t, y = 6 − 3t, z = 3 + 7t
Find the tangent vector T to the given line (t) = 〈 x(t), y(t), z(t) 〉, with parametric equations,
x(t) = -1 + 3t
y(t) = 6 - 3t
z(t) = 3 + 7t
by differentiating (t) component-wise:
T = '(t) = 〈 dx(t)/dt, dy(t)/dt, dz(t)/dt 〉
T = 〈3, -3, 7〉
Scale T by any real number t to get the line through the origin (when t = 0) and the point (3, -3, 7) (when t = 1), which of course runs parallel to '(t). This gives the vector tT. Translate this by any vector v = 〈a, b, c〉 to force this line to pass through the point (a, b, c) instead of the origin, while still remaining parallel. You want the new line to pass through (0, 11, -9), so take v = 〈0, 11, -9〉.
Then the vector equation of the new line is
tT + v = t 〈3, -3, 7〉 + 〈0, 11, -9〉 = 〈3t, 11 - 3t, -9 + 7t〉
with parametric equations
x(t) = 3t
y(t) = 11 - 3t
z(t) = -9 + 7t
Members of a lacrosse team raised $1396.75 to go to a tournament. They rented a bus for $850.50 and budgeted $28.75 per player for meals. Determine the number of players the team can bring to the tournament.
Answer:
19 players
Step-by-step explanation:
If the team raises $1396.75 and the bus costed $850.50 then the remaining budget is = 546.75
If each meal is $28.75 then you could buy 19 meals for 19 players to take to the tournament.
please help asap!!!!!
Answer:
36 units
Step-by-step explanation:
why are expert verified people so extra like they put too much information
Answer:
to make sure you understand the question
Step-by-step explanation:
Answer:
Most likely to help you understand the answer so that if you run into a problem similar you don't have to look it up
Step-by-step explanation:
Answer for 100 points! Also check the picture in full screen!
Answer:
A
Step-by-step explanation:
The answrr is A I think I need points
Find the slope of the line that goes through the given points.
(9,6) and (6, -3)
Answer:
3Step-by-step explanation:
Slope of a line is expressed as;
m = y2-y1/x2-x1
m = -3-6/6-9
m = -9/-3
m = 3
Hence the slope of the line passing through the points is 3
-3+6x=25-8x solve for x
Answer:
6x+8x = 25+3
14x = 28
x =2
Step-by-step explanation:
When we take something to other side of equal sign it changes sign.
Answer:
X=4
Step-by-step explanation:
You simplify and then get x alonE
Pipers Pizza shop used 18% more cheese this month than last month, due to having a discount on the extra chesse toppings. If the pizza shop used 150 pounds of cheese last month how much did it use this month
Answer:
177 pounds
Step-by-step explanation:
Create an equation to represent the system.
Since it's 18% more than what was used last month an equation can be written such as the one below:
(118%)( last month's cheese ) = this month's cheese
Convert the percentages into decimals by moving the decimal place at the end of 118.00 two places to the left
118% = 1.18
( 1.18 )( last month's cheese ) = this month's cheese
Next, plug in the number for last month's cheese
( 1.18 )( 150 pounds) =
177 pounds
Mary purchased 20oz of peanut butter for $2.79. Calculate the price per ounce
five years ago ,a father was four times as old as his son.In five years time the father will be twice as old as the son.If x and y are the present ages of the father and the son respectively,the equation relating x and y are:
Please I need an explanation
The options are
A: 4y-x=0;x-2y=0
B: 4y-x=15;x-2y=5
C: 4y-x=25;x-2y=5
D: x-4y=15;y-2x=5
What is the volume of the rectangular prism?
Step-by-step explanation:
The volume of a rectangular prism is the measure of the space the fills it. A rectangular prism is a 3-dimensional object with six rectangular faces. A rectangular prism is also referred to as a cuboid, rectangular hexahedron, right rectangular prism or a rectangular parallelepiped.Its formula is V=W×H×L.
MULTIPLE CHOICE QUESTION
The area of a rectangular picture frame is 93.5 square inches. The area formula for a rectangle is A = lw. Write and solve an equation to find the width, w, of the picture frame.
Answer:
w = 8.5
Hope it helps!:)
Answer:
93.5
Step-by-step explanation:
500 POINTS PLEASE HELP ME I WILL GIVE ALL POINTS PLEASE PLEASE HELP ME ASAP
Answer:
its only says you will give 14 point so not ancering hahaha loser
Step-by-step explanation:
Answer:-_-
Step-by-step explanation:
What is the constant of proportionality for the relationship shown in this table?
I need your help
x 1 2 3 4
y 4 8 12 16
14
4
8
16
PLEASE
Answer:
2
Step-by-step explanation:
bob buys a computer during the sale. There was a discount of 25%. If the original price is $500. What is sale price?
Answer:
$375
Step-by-step explanation:
If the discount was 25%, that means Bob bought the computer at 75% of original.
75% of 500 = 3/4 * 500 = $375
I hope this helps! :)
Find the x- and y-intercepts of the equation 9x + 12y = 36.
Question 7 options:
A)
x-intercept: (3,0), y-intercept: (0,4)
B)
x-intercept: (4,0), y-intercept: (0,3)
C)
x-intercept: (0,3), y-intercept: (4,0)
D)
x-intercept: (–4,0), y-intercept: (0,–3
Answer:
B) Y-intercept: (0,3), X-intercept: (4,0)
Step-by-step explanation:
x = 0 12y = 36-9x
12y = 36
y = 3 y intercept: (0,3)
y = 0 9x = 36 x = 4
x intercept: (4,0)
Help
[tex]a \sin(wt + phi ) = c2 \sin(wt)+ c1 \cos(wt) [/tex]use the information above and the trigonometric identities to prove that Asin(wt+phi)=c2sin(wt)+c1cos(wt)
Answer and Step-by-step explanation:
Given Asin(wt + phi), we know that sin (A + B) = sinAcosB + sinBcosA. This means:
Asin(wt + phi) = Asin(wt)cos(phi) + Asin(phi)cos(wt).
Let Acos(phi) = c2 and Asin(phi) = c1 we have:
Asin(wt + phi) = c2sin(wt) + c1cos(wt)
Answer:
Step-by-step explanation:
In order to prove that Asin(ωt+ϕ) equals c2sin ωt+ c1cos ωt we need use the sin (A+B) sum identity.
The sin sum identity is sin(A+B)= sinA × cosB + cosB × sinA
Now lets plug in our info.
Asin(ωt+ϕ)= (sin wt × cosϕ) + (cos wt × sinϕ)
We know that Asin= c1 and Acos= c2.
Once we input c1 and c2 and solve, our end result becomes c2sin(wt)+c1cos(wt)
Helpppppp meeee please and thank you
What strategies work best to win the game?
Answer:
i) A plan which u should be ready with must have another back-up plan if somehow it goes down.
ii) Execution of the plan must be kept in mind.
iii) You have to learn the deep down basics and details of the game to execute the plan accordingly with the situation.
my sister went on her first date last night and she is 22 any advice
Answer:
be yourself
Step-by-step explanation:
that's the only thing that i can say
Answer:
Just let her.
Step-by-step explanation:
Will mark brainiest!!
Only answer questions a and b
Answer:
f1 ( x ) valid pdf . f2 ( x ) is invalid pdf
k = 1 / 18 , i ) 0.6133 , ii ) 0.84792
Step-by-step explanation:
Solution:-
A) The two pdfs ( f1 ( x ) and f2 ( x ) ) are given as follows:
- To check the legitimacy of a continuous probability density function the area under the curve over the domain must be equal to 1. In other words the following:
- We will perform integration of each given pdf as follows:
Answer: f1 ( x ) is a valid pdf; however, f2 ( x ) is not a valid pdf.
B)
- A random variable ( X ) denotes the resistance of a randomly chosen resistor, and the pdf is given as follows:
if 8 ≤ x ≤ 10
0 otherwise.
- To determine the value of ( k ) we will impose the condition of validity of a probability function as follows:
- Evaluate the integral as follows:
... Answer
- To determine the CDF of the given probability distribution we will integrate the pdf from the initial point ( 8 ) to a respective value ( x ) as follows:
To determine the probability p ( 8.6 ≤ x ≤ 9.8 ) we will utilize the cdf as follows:
p ( 8.6 ≤ x ≤ 9.8 ) = F ( 9.8 ) - F ( 8.6 )
p ( 8.6 ≤ x ≤ 9.8 ) =
ii) To determine the conditional probability we will utilize the basic formula as follows:
p ( x ≤ 9.8 | x ≥ 8.6 ) = p ( 8.6 ≤ x ≤ 9.8 ) / p ( x ≥ 8.6 )
p ( x ≤ 9.8 | x ≥ 8.6 ) = 0.61333 / [ 1 - p ( x ≤ 8.6 ) ]
p ( x ≤ 9.8 | x ≥ 8.6 ) = 0.61333 / [ 1 - 0.27666 ]
p ( x ≤ 9.8 | x ≥ 8.6 ) = 0.61333 / [ 0.72333 ]
p ( x ≤ 9.8 | x ≥ 8.6 ) = 0.84792 ... answer
Hope it helps! ;)
. Complete the congruence statement.
. Complete the congruence statement.
. Complete the congruence statement.
. Complete the congruence statement.
Answer:
Step-by-step explanation:
Bad=360-118*2-62=360-236-62=360-298=72°
Consider the steps to convert 49% to a decimal.
The decimal point will move
places.
The decimal point will move to the
.
49% written as a decimal is
.
9514 1404 393
Answer:
2 placesto the left0.49Step-by-step explanation:
It can be useful to consider the percent symbol (%) as a shorthand way to write /100. That is, where you see %, /100 is completely equivalent.
49% = 49/100
If you recognize that 1/100 (one hundredth) is 0.01 in decimal (one hundredth), then you can see that 49/100 = 49×0.01 = 0.49.
__
A lot of folks consider the % symbol to be separate from the number, just as units of degrees or hours or inches might be. So, they tell you to do the conversion by moving the decimal point on the % value 2 places to the left (and drop the % symbol):
49% = 49.% = .49
_____
Additional comment
As you can tell, I think of the % symbol as part of the number 49%, just as /100 is part of the number 49/100. Forty-nine hundredths can be written as any of 49/100 or 0.49 or 49%.
Answer:
2 places
to the left
0.49
Step-by-step explanation:
