Answer:
1. Find the prime factorization of each number.
2. Write each number as a product of primes, matching primes vertically when possible.
3. Bring down the same numbers in each column and the remaining numbers in each column.
4. Multiply the factors to get the LCM.
for example the lcm of 24 and 36
= 24 = (2 × 2 × 2 × 3) = 2^3 × 3^1
and 36 = (2 × 2 × 3 × 3) = 2^2 × 3^2
LCM(24, 36) = 2^2 × 3 × 2 × = 72
i hope my answer was helpful and please mark me as brainliest
(-2,-4)
Oy=(x + 2)² +4
Oy=(x - 2)²-4
Oy=-(x - 2)²-4
Oy=-(x + 2)² - 4
Answer:
[tex]\textsf{D)} \quad y=-(x+2)^2-4[/tex]
Step-by-step explanation:
Vertex form of a quadratic equation:
[tex]y=a(x-h)^2+k[/tex]
where:
[tex](h, k)[/tex] is the vertex[tex]a[/tex] is some constantFrom inspection of the graph, the vertex (turning point) is (-2, -4).
Substituting the vertex into the equation:
[tex]\implies y=a(x-(-2))^2+(-4)[/tex]
[tex]\implies y=a(x+2)^2-4[/tex]
As the parabola opens downwards, [tex]a < 0[/tex]:
[tex]\implies y=-a(x+2)^2-4[/tex]
The curve intercepts the y-axis at (0, -8).
Inputting this into the equation and solving for [tex]a[/tex]:
[tex]\implies -8=-a(0+2)^2-4[/tex]
[tex]\implies -4=-4a[/tex]
[tex]\implies a=1[/tex]
Therefore, the equation of the graph is:
[tex]y=-(x+2)^2-4[/tex]
Answer:
y = -(x + 2)² - 4
Step-by-step explanation:
Vertex form of an equation :
y = a(x - h)² + k
Vertex = (h, k)Substituting the coordinates of the vertex in the equation :
y = (x -(-2))² + (-4)
y = (x + 2)² - 4
y = -(x + 2)² - 4 (as the graph opens downwards)
Question
Which systems of equations have infinitely many solutions?
Select each correct system.
Answer: F
Step-by-step explanation:
This does not have infinitely many solutions (adding the equations, we get a fixed value of x)This has no solutions (the left hand sides are the same but the right hand sides have different values)This has one solution (the first equation givess a fixed value for x)This has no solutions (same reason as 2)This has one solution (same reason as 3, just the second equation instead of the first)This has infinitely many solutions (multiplying both sides of the top equation by -2 gives the bottom equation).The following scatter plot represents a company's sales on a certain product based on its price.
What does −4.8 represent in this linear model?
Pls help asap
Using linear function concepts, it is found that representation of the value of -4.8 is given by:
It means that there are 4.8 thousand less sales for every dollar the price is increased.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, the model for the number of sales(in thousands), with the price at x dollars, is given by:
f(x) = -4.8x + 121.02.
The slope is of -4.8, which means that when x increases by 1, y decreases by 4.8 thousand, hence the correct option is given by:
It means that there are 4.8 thousand less sales for every dollar the price is increased.
More can be learned about linear function concepts at https://brainly.com/question/24808124
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Is this true or false?
Answer:
true
Step-by-step explanation:
yas
Will mark brainlist to whoever answers first, full explanation please
Reflection- It flips the image over a line to create a mirror image
Rotation - It spins a figure around a point
Translation- It slides the figure in a different direction
Dilation- It enlarges or reduces a figure
Please help its a math problem please see image attached
Answer:
(-∞, ∞)
Step-by-step explanation:
Solving :
Lowest x-value is -22 options have the lowest value as 0Hence, the correct option is : (-∞, ∞)How do you find the frequency in statistics?
Answer:
Count the tally marks to determine the frequency of each class. The relative frequency of a data class is the percentage of data elements in that class. The relative frequency can be calculated using the formula fi=fn f i = f n , where f is the absolute frequency and n is the sum of all frequencies
11.
30 cm
30 cm
26 cm
Find the area
Answer:
30 x 30 x 26 = 23,400 area= 23,400
Step-by-step explanation: hope it helps
Answer:
i think its 780 cm^2 IF THE 11 IS NOT APART OF THE PROBLEM
Step-by-step explanation:
sorry caps
GIVING BRAINLIEST!!!!!
Answer:
135
Step-by-step explanation:
All triangles =180 degrees
Angle ADC is 45
This means that angle ACD is also 45
ACD and ACB are supplementary which means they add to 180 as well
180 - 45 = 135
The diameter of a music CD is 12 centimeters. Find the circumference of a CD to the nearest tenth
.
In a system of nonlinear inequalities, where and what is the feasible region?
Answer:
the region of the graph where the shaded regions of the graph of each inequality overlap, or where the regions intersect
Step-by-step explanation:
please help!!!
Find an equation for this graph.
Out of 75 students, 45 are taking Algebra 2 and 32 are taking Chemistry. Sixteen students are taking both Algebra 2 and Chemistry. If a student is chosen at random, what is the probability that the student is taking Algebra 2 but not Chemistry?
Put the numbers from least to greatest: .3, 2/3, .36, 35%, 1/3
Answer:
0.3, 1/3, 35%, 0.35, 2/3
Step-by-step explanation:
what is the simplified form of this expression (-3x^2+4x)+(2x^2-x-11)
Answer:
SolutioN :
[tex] \bf \: \star ( - 3x^{2} + 4x) + (2 {x}^{2} - x - 11)[/tex]
[tex] \longrightarrow \bf \: - 3 {x}^{2} + 4x + 2 {x}^{2} - x - 11[/tex]
[tex] \longrightarrow \bf \: - 3 {x}^{2} + 2 {x}^{2} + 4x - x - 11[/tex]
[tex] \longrightarrow \boxed{\bf \: - {x}^{2} + 3x - 11}[/tex]
-------------HappY Learning <3 ----------
Given expression:
[tex](-3x^2+4x)+(2x^2-x-11)[/tex]
To simplify the expression, it is needed to open the parentheses.
[tex]\implies (-3x^2+4x)+(2x^2-x-11)[/tex]
[tex]\implies -3x^2+4x+2x^2-x-11[/tex]
To further simplify the expression, let us combine like terms.
[tex]\implies -3x^2+4x+2x^2-x-11[/tex]
[tex]\implies x^{2} (-3 + 2)+x(4-1)-11[/tex]
Now, simplify the expression as needed.
[tex]\implies x^{2} (-3 + 2)+x(4-1)-11[/tex]
[tex]\implies x^{2} (-1)+x(3)-11[/tex]
Finally, open the parentheses to get the simplified form
[tex]\implies x^{2} (-1)+x(3)-11[/tex]
[tex]\implies \boxed{\bold{-x^{2} +3x-11}}[/tex]
[tex]\text{Therefore, the simplified expression is} \ \boxed{-x^{2} +3x-11}[/tex]
An auditorium has a seating capacity of 1500. For an upcoming event community event theater play, tickets cost $4 for adults and $2 for children. At last years play, twice as many children attended as did adults. If the attendance at this year's play has the same ratio, what expression would represent the best estimate of the total amount of money from ticket sales when the auditorium is filled to capacity ?
Answer:
from the question, the expression for the total amount of money from tickets sales will be T=4 × the number of children
Find the interquartile range (IQR) of the data in the dot plot below. ms orlando
Mean = 5 13+14+15+19+19 =
Answer:
14.167
Step-by-step explanation:
assuming you meant 5+13
determine if a function or not
The provided graph is not a function because it touches the graph more than one point.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have given a graph of a function.
We can check the whether the given graph is a function or not by drawing a vertical line if the vertical line touches the graph more than two points then the graph is not a function.
The given graph is not a function because it touches the graph more than one point.
Thus, the provided graph is not a function because it touches the graph more than one point.
Learn more about the function here:
brainly.com/question/5245372
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Solve the equation 2(3x-2)=(12x+4)
Answer:
x = -4/3 or -1.3333333....... (infinite)
Step-by-step explanation:
6x-4=(12x+4)
6x-4+4=12x+4+4
6x = 12x + 4 + 4
6 = 12x + 8
6x - 12x = 12x + 8 - 12x
-6 = 12x + 8 - 12x
-6x = 8
-6x/6 = 8/-6
x = 8/-6
x = -4/3
Answer:
[tex]\sf x = -\dfrac{4}{3}[/tex]
Explanation:
Given Expression:
2(3x-2) = (12x+4)Remove Parenthesis:
2(3x) - 2(2) = 12x + 4Multiply Integers:
6x - 4 = 12x + 4Exchange Sides:
12x - 6x = -4 - 4Simplify:
6x = -8Divide Both Sides by 6:
x = -8/6 = -4/3Find the volume of the trapezoidal prism
Answer:
228 in³
Step-by-step explanation:
Volume of a trapezoidal prism
V = Area x heightFinding Base Area (on the side here)
A = 1/2 x (a + b) x hA = 1/2 x (12 + 7) x 6A = 3 x 19A = 57 in²Volume
V = A x hV = 57 x 4V = 228 in³please helpp
2. A line goes through the points {8, 9} and {-2. 4}.
(a) What is the slope of the line? Show all steps of work for full credit. (2 pts)
(b) Write the equation of the line in point-slope form. Show your work (state the point and slope you are using). (2 pts)
POINT (Ordered Pair): ¬¬¬_______________
SLOPE:_______________
EQUATION:____________________________
(c) Write the equation of the line in slope-intercept form. Show all steps of work for full credit. (2 pts)
Answer:
a)
[tex] \frac{2}{5} [/tex]
b)
Step-by-step explanation:
slope formula
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex] \frac{4 - 9}{ - 2 - 8} [/tex]
=
[tex] \frac{2}{5} [/tex]
b) using point (-2,4)
[tex]y - y1 = m(x - x1)[/tex]
[tex]y - 4 = \frac{2}{5} (x - ( - 2)[/tex]
Now distribute
[tex]y - 4 = \frac{2}{5} x + \frac{4}{5} [/tex]
add 4 to each side
[tex]y = \frac{2}{5} x + \frac{24}{5} [/tex]
can use the other point given if you want
help me iiwh this quesrion
Answer:
3 is $8 and 14 is about 18%
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
since the annual rate is 2% and you wait 6 months which is half a year
you'd get 1% of 800 so it'd be 8.
What is a fraction that is equal to 5?
Answer:
5/1 or 10/2
5/1 = 5
10/2 = 5
A charitable organization holds a canned food drive to benefit the local food bank. The number of cans collected by the volunteers of the organization as they came in are 2, 6, 12, 16, 2, 6, 13, 17, 3, 8, 13, 19, 4, 10, 14, 19, and 5.
Pls help. I need the first and third quartile and the median
Answer:
Step-by-step explanation:
Minimum: 2
Quartile Q1: 4.5
Median: 10
Quartile Q3: 15
Maximum: 19
PLEASE HELP ASAP PLEASEEEE
show calculations: √(x^2-8x+16) if x≥4
Answer:
If we square both sides then we get
x2-8x+16 = (x-4)2
Now if we expand the right side of the equation we get
x2-8x+16 = (x-4)(x-4)
x2-8x+16 = x2-8x+16
So no matter what x is, the right side will be equal to the left side.
However, if we look at the original equation on the left side, √(x2-8x+16) , the value under the square root symbol has to be greater than or equal to zero (otherwise we get an imaginary number and you might not be working with those yet)
Step-by-step explanation:
So in order for √(x2-8x+16) to be greater than or equal to zero, x has to be greater than or equal to 4. If x is less than 4 you get a negative number. If x is greater than 4, you'll get the same answer on both sides no matter what x is
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 8x + 16} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 4x - 4x + 16} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{} (x - 4) - 4(x - 4)} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ (x - 4)(x - 4)} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ (x - 4) {}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: x - 4[/tex]
Now, it's given that ~
[tex]\qquad \sf \dashrightarrow \:x \geqslant 4[/tex]
plug the value of x as 4 :
[tex]\qquad \sf \dashrightarrow \:4 - 4[/tex]
[tex]\qquad \sf \dashrightarrow \:0[/tex]
So, we can infer that :
Value of the required expression lies in :
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 8x + 16} \geqslant 0[/tex]
it's value is always greater than pr equal to 0, satisfying the given condition ~
I have no clue, I have asked others and they don't know either.
To find the point of symmetry:
⇒ must find where the distance between the original point and the
line of symmetry and reflected point and the line of symmetry are
equally distant from each other
Based on that knowledge:
⇒ the image appears to be entirely reflected horizontally
⇒ when the line of symmetry is the y-axis
⇒ A, A' equal distant from line of symmetry
⇒ B, B' equal distant from line of symmetry
⇒ C, C' equal distant from line of symmetry
Answer: y- axis
Hope that helps!
Find the value of cos G rounded to the nearest hundredth.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER AND POINTS
(Image above!)
Answer:
[tex]\sf \cos(G)=\dfrac{1}{2}[/tex]
Step-by-step explanation:
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)Given:
[tex]\theta[/tex] = GA = GF = 2H = EG = 4[tex]\implies \sf \cos(G)=\dfrac{2}{4}=\dfrac{1}{2}[/tex]
How to find the arc length?
The formula is given by
L=Ø/360°×2πrOr
L=Ø/180°×πrWhere
Ø is the angle of arcL is Arc lengthr is radius of circleplease help me I will give brainliest
Answer:
The mass of salt!
Step-by-step explanation:
The responding variable is the part of an experiment that a scientists measures and observes closely for a change or a response