g(x) = ¹/₂f(x - 2) -------> y-intercept at (0, - ¹/₂)
h(x) = f(x - ¹/₂) -------> x-intercept at (1.5, 0)
j(x) = f(x) - ¹/₂ -------> vertical asymptote at x = 0
m(x) = function decreases as x increases
How to Interpret Graphs?We are given the function;
f(x) = In (x)
Now, from the given tiles and when we punch the respective values for the given functions, we can say that;
g(x) = ¹/₂f(x - 2) -------> y-intercept at (0, - ¹/₂)
h(x) = f(x - ¹/₂) -------> x-intercept at (1.5, 0)
j(x) = f(x) - ¹/₂ -------> vertical asymptote at x = 0
m(x) = function decreases as x increases
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n of the following are factors of x² - 7x - 30 ?
a
(x-3) (x - 10)
B
(x-3) (x + 10)
C
(x - 15) (x + 2)
D
(x - 10) (x + 3)
Answer:
D
Step-by-step explanation:
20(6x4) Can you pls help me
Answer:
480
Step-by-step explanation:
We will use the order of PEMDAS. First, everything in parenthesis must be completed. Since 6x4 is in parenthesis, we multiply it and get 24.
Since we now have 20(24). We can multiply them by each other.
A trick to do this manually is to notice that 20 is 10 x 2, meaning that in reality this equation is 10 x 2 x 24. Multiply 2 x 24 = 48, and 48 x 10 = 480.
Solve system of equation using elimination by addition.
Will give brainliest!!
Answer:
x = 2
y = -1
Step-by-step explanation:
You can add together the equations so the x term cancels out:
-3x + 5y = -11
+ (3x + 7y = -1)
The -3x and 3x cancel out, 5y and 7y add to 12y, and -11 and -1 add to -12:
12y = -12
Divide by 12 on both sides to get
y = -1
We can substitute this value into one of the equations to solve for x:
3x + 7y = -1
3x +7(-1) = -1
3x - 7 = -1
3x = 6
x = 2
How many times longer is the wavelength of a sound wave with a frequency of 20 waves per second than the wavelength of a sound wave with a frequency of 16,000 waves per second?
The sound wave with a frequency of 20 waves/sec is 800 longer than the wavelength of a sound wave with a frequency of 16,000 waves/sec
Calculating wavelengthFrom the question, we are to determine how many times longer is the first sound wave compared to the second sound water
Using the formula,
v = fλ
∴ λ = v/f
Where v is the velocity
f is the frequency
and λ is the wavelength
For the first wave
f = 20 waves/sec
Then,
λ₁ = v/20
For the second wave
f = 16,000 waves/sec
λ₂ = v/16000
Then,
The factor by which the first sound wave is longer than the second sound wave is
λ₁/ λ₂ = (v/20) ÷( v/16000)
= (v/20) × 16000/v)
= 16000/20
= 800
Hence, the sound wave with a frequency of 20 waves/sec is 800 longer than the wavelength of a sound wave with a frequency of 16,000 waves/sec
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Which triangles are similar?
15
28
62
28
17
Triangle A
37
15
53
9
16
Triangle B
Triangle C
OA. Triangles B and C
OB. Triangles A and B
C. Triangles A and C
D. Triangles A, B, and C
62°
34
Answer:
triangle A andC are the same
Show and explain how replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions as the one shown.
8x + 7y = 39
4x – 14y = –68
Answer:
Sample Response: Using the linear combination method, you can multiply the first equation by 2 and add the equations to get 20x = 10. Dividing both sides by 20, x = 1/2. To solve for y, substitute 1/2 for x in the equation 8x + 7y = 39 to get 4 + 7y = 39. Solving this equation, y = 5. Checking this in the other equation, 4(1/2) – 14(5) = –68 results in 2 – 70 = –68 or –68 = –68. The solution of the system shown is (1/2, 5). The system 8x + 7y = 39 and 20x = 10 is formed by replacing 4x –14y = –68 by a sum of it and a multiple of 8x + 7y = 39. Since 20(1/2) = 10, the system 8x + 7y = 39 and 20x = 10 also has a solution of (1/2, 5).
Hope this was helpful..
Four graphs are shown below:
Four graphs named Graph A, Graph B ,Graph C and Graph D are shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 100 at increments of 10. All the graphs have 0,12 and 1,20 and 2,28 and 3,31 and 4,42 and 5,53 and 6,61 and 7,72 and 8,88 and 9,83 and 10,92. A straight line joins 0, 12 and 6,100 in Graph A. A straight line joins 0, 12 and 10, 50 in Graph B. A straight line joins 0, 10.5 and 10, 95 in Graph C. A straight line joins 0, 30 and 8,100 in Graph D.
Which graph best shows the line of best fit?
Graph A
Graph B
Graph C
Graph D
The graph that best shows the line of best fit is graph (c)
How to determine the best graph?A graph that shows the appropriate line of best fit has the following properties:
The line of best fit has equal approximately points on either sideThe line of best fit touches as many points as possibleThe graph that satisfies the above highlights is the graph (c)
Hence, the graph that best shows the line of best fit is graph (c)
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Answer:
c
Step-by-step explanation:
i dont now this question
Answer:
y = 108
Step-by-step explanation:
2x + 16 = 3x -12 (as you can see the F shape and are on straight lines and AB is parallel to CD) .
Now we solve for x :
Subtract 2x from both sides :
16 = x - 12
Now we add 12 to both sides :
28 = x
Angle 3x-12 and y add up to 180 as they are on a straight line :
3x-12 + y = 180
Substitute x and solve for y :
3(28) - 12 + y = 180
84 - 12 + y = 180
72 + y = 180
y = 108
Hope this helped and have a good day
-7–2.1n=-3.5n PLEASE ANSWER
Answer:
n=5
Step-by-step explanation:
-7-2.1n=-3.5n
+2.1n +2.1n
-7 = -1.4n
/-1.4 /-1.4
n=5
Hope this helps!
If not, I am sorry
Answer:
b = - 1.25
Step-by-step explanation:
-7 - 2.1n = 3.5n
-7 = 3.5n + 2.1n
-7 = (3.5+2.1)n
-7 = 5.6n
-7/5.6 = n
n = -1.25
Check:
-7 -(2.1*-1.25) = 3.5*-1.25
-7 + 2.625 = -4.375
Eva wants to estimate the number of rabbits on a farm.
On Monday, she catches 50 rabbits.
These rabbits are tagged and then released.
On Tuesday, she catches 100 rabbits.
12 of these rabbits have tags on them.
Estimate the number of rabbits on the farm.
Estimate the number of rabbits on the farm will be 417 rabbits.
What is Algebra?Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
Eva wants to estimate the number of rabbits on a farm.
On Monday, she catches 50 rabbits.
These rabbits are tagged and then released.
On Tuesday, she catches 100 rabbits.
12 of these rabbits have tags on them.
Then estimate the number of rabbits on the farm that will be
Let n be the number of total rabbits. Then we have
12n = 50 x 100
n = 5000 / 12
n = 416.67
n ≅ 417
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1. Solve the equation using square roots.
x² +10=9
Answer:
x=±√−1 (NO REAL SOLUTION)Step-by-step explanation:
x² + 1 = 0
1× x²+1=0
x=±√(−1×1)
x=±√−1 (NO REAL SOLUTION)
6. What is an equation of the line that passes through the point (6,8)
and is perpendicular to a line with equation y = 3
2x + 5?
(1) y − 8 = 2(x − 6)
(3) y + 8 =
2(x + 6)
(2) y - 8 = -(x − 6)
-
(4) y + 8 =
− ½(x + 6)
Answer:
x = 6
Step-by-step explanation:
y = 3 is a horizontal line parallel to the x- axis and passing through all points with a y- coordinate of 3
A line perpendicular to this will be a vertical line parallel to the y- axis with equation
x = c ( c is the value of the x- coordinates the line passes through )
the line passes through (6, 8 ) with x- coordinate 6 , then
x = 6 ← equation of perpendicular line
Stan wants to start an ira that will have $250,000 in it when he retires in 25 years. how much should he invest semiannually in his ira to do this if the interest is 6% compounded semiannually? assume an annuity due. round to the nearest cent. a. $2,151.82 c. $2,303.29 b. $2,216.91 d. $4,556.68
Answer:A
Step-by-step explanation:
Can someone help me with this??
Set A= 1, 3, 4, 5, 9, 10, 11
Set B= 2, 4, 6, 7, 11, 12
What is the union of sets A and B?
Answer:
1 ,2,3,4,5,6,7,9,10,11,12 is the union
Answer:
A U B = {1,2,3,4,5,6,7,9,10,11,12}
Step-by-step explanation:
Union of sets is a set containing all elements that are in A or B.
A = {1,3,4,5,9,10,11}
B= {2,4,6,7,11,12}
A U B = {1,2,3,4,5,6,7,9,10,11,12}
Name the types of angles shown.
L
M
Check all that apply.
A. straight angle
B. right angle
c. supplementary angles
D. complementary angles
Answer:
Ans : A. Straight angle
Step-by-step explanation:
Brainliest me pls
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Brain
Evaluate each function.
14) g(x)= 3x² - 1; Find g(-3)
Answer:
g(-3)= 26
Step-by-step explanation:
g(x)= 3x² - 1
g(-3) means use -3 for x in the given equation.
g(-3)= 3(-3)² - 1
g(-3)= 3(9) - 1
g(-3)= 27 - 1
g(-3)= 26
Q4. The diagram shows a triangle inside a rectangle.
2x
All measurements are given in centimetres.
Show that the total area, in cm², of the shaded regions is 18x - 30
3x-5
Diagram NOT
accurately drawn
The prove to show that the area of the shaded portion is 18x - 30 is as follows: 3x² + 13x - 30 - 3x² + 5x = 18x - 30
How to find the area of the shaded region?The area of the shaded region can be represented as follows:
area of the shaded region = area of rectangle - area of triangle
Therefore,
area of the rectangle = (x + 6)(3x - 5)
area of the rectangle = 3x² - 5x + 18x - 30
area of the rectangle = 3x² + 13x - 30
area of triangle = 1 / 2 × 2x × 3x - 5
area of triangle = 3x² - 5x
Therefore,
area of the shaded portion = 3x² + 13x - 30 - 3x² + 5x
area of the shaded portion = 18x - 30
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An account has $26,000 after 15 years. The account received 2.3 percent interest compounded continuously. How much was deposited initially. Show all work.
The intital amount deposited was $18485.82.
How to find the compound interest?If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]
An account has $26,000 after 15 years. The account received 2.3 percent interest compounded continuously.
A = 26000
R = 0.02.3
[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]
[tex]26000 = p(1 + \dfrac{2.3}{100})^{15}\\\\26000 = p \times 1.4064\\\\\P= 18485.82[/tex]
Therefore, the intital amount deposited was $18485.82.
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someone please help me to learn new things i am a 5th grade student and im hoping to learn new things in math
Answer:
Here you go!
Step-by-step explanation:
Do tell if it still seems difficult.
:)
1/2x-20-x = 3(2x - 1) - (2x - 1)
Answer:
x = -4
Step-by-step explanation:
1/2x - 20 - x = 6x -3 -2x +1
-1/2x -20 = 4x -2
-1/2x -4x = -2 +20
-9/2x = 18
9/2x = -18
9x = -36
x = -4
Give brainliest please!
hope this helps :)
Graph the equation y =3/5 x on the coordinate plane.
Step-by-step explanation:
See above graph.......
Which of the following tables represents a function?
Reason:
Choices A, C and D have repeated x values. It allows us to rule them out.
Table A has x = 6 repeating. Table C has x = 3 and x = -3 repeated. Table D has x = 4 and x = 5 show up twice each.
Whenever we have repeated x values, it indicates we do not have a function. A function is only possible when each x value goes to exactly one y value only.
Table A has the input x = 6 lead to y = 2 and y = -2 at the same time. Table C and table D are a similar story. So this is another way to rule out choices A, C and D.
Luckily table B has no repeated x values. Each x input leads to exactly one and only one y output. Therefore, table B is a function.
Side Note: the y values can repeat, but the function won't be one-to-one.
A circle has a area of 49 pie cm2 work out its radius
Area of a circle: pi x r^2
49 pi = pi x r^2
49 = r^2
r = +/- 7
---In this case, the radius is a measurement, so the answer must be positive.
r = 7
Hope this helps!
What is the slope intercept form of the 2 points (-6,-3) and (6,-7)
What are some examples of a linear system
Answer:
Describe the middle class of Central America. Mention jobs, homes, and education.ury
Step-by-step explanation:
PLEASE ASAPPP 50 POINTS
Answer:
A,B,C,J,K,M
A=B,L is parallel to K
C=J
find the circumference of an object. use 3.14 or 22/7 for pi. round to the nearest hundredth if necessary. 9 cm
Step-by-step explanation:
to find the circumference of an object take pie and the radius and multiply it by 2
equation: 2 pie r
if r is 9 the answer is 56.55
9x2=18
18xpie=56.55
The coordinates (1, 1), (1, 3), (3, 3), and (x, y) form a square when graphed on a coordinate plane. Which ordered pair would be the fourth vertex of the square? A (3, 1) B (1,3) C (3,5) D (3, 0
)
Answer:
3,1
....................................
PLEASE HELPPPPP ME, IVE BEEN STUCK ON THIS ONE!!..
Answer:
C. 9 minutes 30 seconds
Step-by-step explanation:
well you could estimate it or just add 2.5 to 6.9 and you would get pretty close to the answer
Have a good day! :)