Answer:
The domain of the function f(x) is:
[tex]\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
The range of the function f(x) is:
[tex]\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=5\left|x\right|[/tex]
Determining the domain:
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.It is clear that the function has undefined points nor domain constraints.
Thus, the domain of the function f(x) is:
[tex]\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Determining the range:
We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
Range refers to all the possible sets of output values on the y-axis.We know that the range of an Absolute function is of the form
[tex]c|ax+b|+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k[/tex]
[tex]k=0[/tex]
so
Thus, the range of the function f(x) is:
[tex]\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]
i need the answer to this asap, plzz
Answer:
[tex]\mathrm{D.\:}\sqrt{126}[/tex]
Step-by-step explanation:
All three triangles in the figure are similar. Therefore, we can set up the following proportion:
[tex]\frac{18}{m}=\frac{m}{7}[/tex]
Cross-multiply to solve:
[tex]m^2=18\cdot 7 = 126, \\\\m=\fbox{$\sqrt{126}$}[/tex].
The question is in the picture.
Answer:
2
Step-by-step explanation:
when you combine all the terms (7 - 14 + 8+ 10 - 4+ 5) and divide by the number of terms (6) you get 2
Answer:
43.83...
Step-by-step explanation:
you add up all the numbers then divide by the numbers that are listed... :)
if MP= 6x-5, QR = 3x+1 ,and RN = 6, what is QN
Answer:
19 units.
Step-by-step explanation:
Consider the below figure attached with this question.
From the below figure it is given that MN=PQ.
It is given that MP = 6x – 5, QR = 3x + 1, and RN = 6.
Since non parallel sides are equal, therefore it is an isosceles trapezoid.
The diagonals of an isosceles trapezoid are equal.
Substitute the given values.
The value of x is 4.
Hence, the measure of QN is 19 units.
Sushil and Fiona win some money and share it in the ratio 4:1. Sushil gets £33 more than
Fiona. How much did they get altogether?
jazmines dog weights 63 pounds. Her vet told her that a healthy weight for her dog would be less than or equal to 47 pounds. Jazmines dog can lose an average of 6 pounds every week. Write the solution to an inequality that describes all posible number of weeks x for which her dog can be at a healthy weight
Answer:
2 weeks and 4 days
Step-by-step explanation:
she is 63 pounds and she needs to get to 47 so 63-47=16 then if she loses 6 pounds every week then 6+6=12 which make 2 weeks cause we used two 6's so now we have a remainder which makes days 12-16=4 so their ya go
2 weeks and 4 days
Multiplying and Dividing Radical Expressions
Answer:
The answer for the first equation is,
B. 11
The answer for the second equation is,
D.none of these.
Answer:
first question: [tex]\sqrt[4]{110}[/tex] (last option)
second question: 2a³b²· [tex]\sqrt[3]{3a}[/tex] (3rd option)
Step-by-step explanation:
1st question - follow this rule: [tex]\sqrt[4]{m}[/tex] · [tex]\sqrt[4]{n}[/tex] = [tex]\sqrt[4]{m x n}[/tex]
2nd question: [tex]\sqrt[3]{24a^10b^6}[/tex] = [tex]\sqrt[3]{2^3a^3a^3ab^3b^3}[/tex] = 2·a·a·b·b[tex]\sqrt[3]{3a}[/tex] = 2a²b²[tex]\sqrt[3]{3a}[/tex]
Madison was given a large box of 42 chocolates for her birthday. If she eats exactly 5
chocolates each day, how many chocolates would Madison have remaining 5 days
after her birthday?
Answer:25
Step-by-step explanation: bc 5 x 5 =25
Answer:17 chocolates left
Step-by-step explanation:
5x5= 25
42 - 25 = 17
hopefully this helps
Enter the range of values for x:
[?]
Answer:
2<x<7
Step-by-step explanation:
Answer:
2<x<7
Step-by-step explanation:
A local venue is selling tickets to a show. They are selling $10 and $15 tickets, each with different seating. If the venue sells 1,000 tickets and collects a total of $12,200 from sales, how many of each type of ticket did they sell? Please explain the work
Answer:
Let $10 tickets be (x)
Let $15 tickets be (y)
Now we know they sold 1000 tickets
And they earned 12,200 from sales
So we can say
X+Y=1000
10x+15y=12,200
We can do substitution
So lets find Y first
Y=1000-x (basically x+y=1000 but solved for Y)
10x+ 15 ( 1000-x)= 12,200
You’d get
10x+15000-15x=12200
Combine and solve for x and you’ll get
x=560
So we know that x is 560
We can just use that to solve for Y
Since X is 560 tickets
And 1000 tickets soled
1000-560=440
440 ($15) tickets
560 ($10) tickets
helpppppppppppppppppppppppppppppppppppppppppppp
Answer:
I can help
Step-by-step explanation:
Answer:
Step-by-step explanation:
the first one- 40
the second one- 2.5
This should be correct if I did my math correctly
What is the radius of a sphere with a volume of 3026 cm ^3, to the nearest tenth of a centimeter?
Answer:
[tex]r=9.0\:\mathrm{cm}[/tex]
Step-by-step explanation:
The volume of a sphere is given as [tex]\frac{4}{3}r^3\pi[/tex]. Therefore we have the following equation:
[tex]\frac{4}{3}r^3\pi=3026,\\r^3=\frac{3}{4}\cdot\frac{3026}{\pi},\\r^3=722.40428,\\r=\sqrt[3]{722.40428},\\r\approx \fbox{$9.0\:\mathrm{cm}$}[/tex].
Rounding this to the nearest tenth of a centimeter, the radius of the sphere is approximately 14.0 cm.
What is volume?Volume refers to the amount of space occupied by an object or substance. In mathematics, it is usually measured in cubic units (e.g. cubic meters, cubic centimeters).
The volume of an object can be calculated using its dimensions and specific formulas that depend on the shape of the object.
For example, the volume of a cube is calculated by multiplying its length, width, and height, while the volume of a sphere is calculated using the formula [tex](4/3)\pi r^3[/tex], where r is the radius of the sphere.
The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere and π (pi) is a mathematical constant approximately equal to 3.14159.
We can rearrange this formula to solve for r:
r = [tex](3V/4\pi)^{(1/3)[/tex]
Substituting the given volume V = 3026 [tex]cm^3[/tex], we get:
r = [tex](3(3026)/(4\pi))^{(1/3)[/tex] ≈ 14.0 cm
Thus, the radius of the sphere is approximately 14.0 cm, rounded to the nearest tenth of a centimetre.
For more details regarding volume, visit:
https://brainly.com/question/1578538
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17. The sum of four consecutive integers is at most 100. Find the integers.
and solve.
Answer:
23,24,25,26
Step-by-step explanation:
X+(x+1)+(x+2)+(x+3)= 100
4x+6=100
4x=100-6
X=94/4
X=23.5
Ads the sum is said to be AT MOST 100 SO WE WILL ROUND DOWN THE NUMBER
So x=23
X+1=24
X+2=25
X+3=26
Sum=23+24+25+26=98
98<100 so answer is correct
what is x given circle Z? please help !!
Answer:
x=6
Step-by-step explanation:
because of vertical angles, 9x-4=12x-22
3x=18
x=6
plz give thx and brainliest!
10+x=21 ?
What’s the answer
Answer:
x=11
Step-by-step explanation:
first you flip the X and the 10, then subtract the 10 on both sides and you should be left with x=11
An electrician charges a flat fee for each job, plus an hourly rate for each hour he takes to complete the job. The total cost of the job can be modeled by the equations y = 50 + 65x. What does the independent variable represent in this situation?
Answer: The independent variable = x which represent the the number of hours taken to complete the job.
Step-by-step explanation:
Independent variable is the variable on which dependent variable is dependent.In the given function: y = 50 + 65x, x = Number of hours, y = Total cost of the job.
Here, total cost of the job depends on the number of hours.
So the independent variable = x which represent the the number of hours taken to complete the job.
Comparing Methods to solving systems.
x -y =-2
7x +2y =-5
Solve it by graphing method
Answer:
[tex]x = - 1 \\ y = 1[/tex]
Step-by-step explanation:
[tex]x - y = - 2 [/tex]
[tex]x = y - 2[/tex]
[tex]7x + 2y = - 5[/tex]
[tex]7(y - 2) + 2y = - 5 \\ [/tex]
[tex]7y - 14 + 2y = - 5[/tex]
[tex]9y = 14 - 5[/tex]
[tex]9y = 9[/tex]
[tex]y = \frac{9}{9} = 1[/tex]
[tex]x = y - 2 = 1 - 2 = - 1[/tex]
Geometry work pls help
Answer:
true
Step-by-step explanation:
Answer:
TRUE
Step-by-step explanation:
THE FIGURE HAS PARALLEL LINES.
What's the unit rate for 15 plates in 3 stacks?
A: 3 Plates Per Stack
B: 4 Plates Per Stack
C: 5 Plates Per Stack
D: 6 Plates Per Stack
Answer:
My pretty sure its 5
(don’t count on it too much, this is my first answer)
Step-by-step explanation:
How do I find n in the the permutation equation of nP3 = 990
Answer:
n=11
Step-by-step explanation:
Permutations
The formula to calculate permutations is:
[tex]\displaystyle nPm=\frac{n!}{(n-m)!}[/tex]
We know nP3=990. Substituting:
[tex]\displaystyle nP3=\frac{n!}{(n-3)!}=990[/tex]
Expanding the factorial in the numerator:
[tex]\displaystyle \frac{n(n-1)(n-2)(n-3)!}{(n-3)!}=990[/tex]
Simplifying:
[tex]n(n-1)(n-2)=990[/tex]
This equation can be easily solved by inspection. The product of three consecutive numbers resulting 990. Starting from greatest to smallest, those numbers are 11,10, and 9, thus:
[tex]n(n-1)(n-2)=11*10*9[/tex]
It follows that n=11
Use the distributive property to simplify the expression: -5(4W - 3s + 1)
Answer:
-20w+15s-5
Step-by-step explanation:
-5*4w= -20w
-5*-3s= 15s
-5*1= -5
what is 3a + 3/6. if a = 1/4
Answer:
5/4
Step-by-step explanation:
Solve by plugging in the value to "a".
Solve:
3a + 3/6
3(1/4) + 3/6
Multiply the parenthesis.
3/4 + 3/6
Simplify 3/6
3/4 + 1/2
Find the common denominator, which is 4. Make the denominators the same.
3/4 + 2/4
Add the fractions.
5/4
3. Bond energy is the energy
a. absorbed as a molecule forms.
b. change as atoms get closer together.
C. required to break a chemical bond and form separate, neutral
atoms.
d. of two covalently bonded atoms.
What is the slope of the table?
You open a drink stand where you sell coffee and hot chocolate. You sell coffee for $1.80 and hot chocolate for $3.15. At the end of the day, you sold 120 cups and the total money you earned was $284.40. How many of each type of drink did you sell?
Answer:
c = 69 and h = 51
Step-by-step explanation:
You will need two different equations here
use variable c as coffee and variable h as hot chocolate
c + h = 120
1.80c + 3.15h = 284.40
By moving variables, you can alter the first equation
h = 120 - c
Now insert this into the second equation
1.80c + 3.15(120 - c) = 284.40
Multiply
1.80c + 378 - 3.15c = 284.40
Subtract the c
-1.35c + 378 = 284.40
Subtract 378 from both sides
-1.35c = -93.6
Divide both sides by -1.35
c = 69
Then plug into the first equation
69 + h = 120
Subtract 69
h = 51
Distribute : 2(2x-6)
He he please
Answer:
4x -12
Step-by-step explanation:
is that what u needed lol
Step-by-step explanation:
-24 ==== ( 2×-6=-12___-12×2= -24)
Plz help find each circle measure !!!!!
Answer:
for the first one it is
ED= 26
CF= 13
mED= 136
mHD= 68
mCE= dont know this one but the other ones im positive their right
Step-by-step explanation:
9514 1404 393
Answer:
ED = 26; CF = 13; arc ED = 136°; arc HD = 68°; arc CE = 88°
QU = 8; QR= 16; arc ST = 114°; arc QR = 114°; arc XT = 57°
Step-by-step explanation:
Chords the same distance from the center of the circle are the same length. Chords of the same length intercept arcs of the same angle measure. A radius perpendicular to a chord bisects it and the arc it subtends. The sum of arcs in a circle is 360°. These facts are used to solve the problems here.
__
Circle J
ED = 2×GD = 26
CF = GD = 13
arc ED = arc CD = 136°
arc HD = 1/2 arc CD = 68°
arc CE = 360° - 2×136° = 88°
__
Circle Y
QU = 1/2×ST = 8
QR = ST = 16
arc ST = arc QR = 1/2(360° -34° -98°) = 114°
arc XT = 1/2 arc ST = 57°
Juan wants to use all the ingredients in the table to make trail mix
Answer:
okay, he can do it
is there supposed to be something attached? there's not enough information to solve this.
Step-by-step explanation:
Answers the question please
Answer:
I would say (B) 14,55
Step-by-step explanation:
the difference of 18 and m is equal to the product of m and 7
Answer:
M = 11/2
Step-by-step explanation:
first set up the problem
18-m = m+7
subtract m to both sides
18 -2m = 7
then subtract 18
-2m = -11
divide by negative 2
m = 11/2
Mateo found a sale on skateboards.The skateboard he would like to purchase is 179.99. The sales tax is 6.5%. How much will Mateo spend in all after the discount and tax are applied?
Answer:
$191.69
Step-by-step explanation:
0.065 x 179.99 = 11.70
179.99 +11.70