Answer:
Mean = 48.5, Median = 53, Mode = nothing, Outlier = 17
Step-by-step explanation:
Mean: Add all the numbers (388) then divide by how many numbers (8) are there. (= 48.5)
Median: Is the middle number () so you have to order them from least to greatest (17, 42, 45, 52, 54, 57, 58, 63) and then just keep marking them off left, right, left, right... until you get to the middle. But since there are two numbers (52, 54) you have to add them (106) then you divide by 2 (53).
Mode: Is the number that shows up the most. In this case none of them do.
Outlier: The number that is farthest from the other numbers (17).
Please help urgent!!!
Which statement about the functions is true?
The minimum value of f(x) is less than the minimum value of g(x).
f(x) and g(x) intersect at exactly one point.
f(x) and g(x) have the same y-intercept.
The x-intercepts of f(x) are common to those of g(x) .
The x-intercepts of f(x) are common to those of g(x) .
What is x-intercept?
The x-intercept is the point on the coordinate at which a line, curve or plane intersect with the x-axis. The value of y is equal to zero at x-intercept.
For me, it helps to graph everything on the same xy coordinate system. Start with the given graph and plot the points shown in the table. You'll get what you see in the diagram below.
The blue point C in that diagram is on the red parabola. This point is the x intercept as this is where both graphs cross the x axis. Therefore, they have a common x intercept.
Choice 1 is not true due to choice 4 being true. We have f(x) = g(x) when x = 2, which is why f(x) > g(x) is not true for all x.
Choice 2 is not true. Point B is not on the parabola.
Choice 3 is not true. There is only one known intersection point between f(x) and g(x), and that is at the x intercept mentioned above. Of course there may be more intersections, but we don't have enough info to determine this.
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Factorise completely 12 x³y - 18 xy²
..:
[tex]12 {x}^{3} y - 18x {y}^{2} \\ [/tex]
Factor out 6xy:
[tex]\boxed{(6xy)(2 {x}^{2} - 3y)} [/tex]
(which is the maximum you could get(atleast in this problem))
Simplify!! Please!!!
Answer:
.................................................
Step-by-step explanation:
edge 2022
sin 30° right triangle
Answer:
The value of sin 30 degrees is 0.5. Sin 30 is also written as sin π/6, in radians. The trigonometric function also called as an angle function relates the angles of a triangle to the length of its sides.
...
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Inverse Cosine Law of Sines Formula
A parabola opens upward. The parabola goes through the point (3, -1), and the vertex is at (2, -2). What are the values of h and v? To find the value of a, subtract the y-coordinate of the vertex from the y coordinate of the point on the parabola that is 1 unit to the right of the vertex. Find the value of A for the parabola
The value of a is 1/4 and the value of h and k is (2,-7/4)
What is a Parabola ?A parabola is a u shaped curve. It is a plane curve whose all points are at a fixed distance form a point called focus.
(x-h)² = 4a(y-k)
It is given that the parabola goes through the point (3, -1), and the vertex is at (2, -2).
Therefore
(x -2)² = 4a(y +2)
The parabola passes through the point (3,-1)
(3-2)² = 4*a(-1+2)
1 = 4 a
a = 1/4
Now to determine the value of focus point , (h,k)
(h = 2)
k = - 2 +1/4 = -7/4
Therefore The value of a is 1/4 and the value of h and k is (2,-7/4)
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PLS HELP QUICKLY
Which pair of functions are inverses of each other?
5
O A. f(x) = -2 and g(x) = +2
B. f(x) = 7x-2 and g(x) = 2
C. f(x) =x/5+ 6 and g(x) = 5x - y
D. f(x) = 3+ 6 and g(x) = 6x³
Answer: B
[tex]f(x) = 7x-2[/tex] and [tex]g(x) = \frac{x+2}{7}[/tex]
How to solve:
check if the composite functions of f(x) and g(x) are equal to x (this means they are inverses)
f[g(x)] = x
g[f(x)] = x
Step-by-step explanation:
Checking A.
[tex]f(x) = \frac{5}{x} -2[/tex]
[tex]g(x) = \frac{x+2}{5}[/tex]
[tex]f(g(x)) = f(\frac{x+2}{5} ) = \frac{5}{\frac{x+2}{5} } -2[/tex]
This does not equal x, so we know these are not inverses
Checking B.
[tex]f(x) = 7x-2[/tex]
[tex]g(x) = \frac{x+2}{7}[/tex]
[tex]f(g(x)) = f(\frac{x+2}{7} ) = 7(\frac{x+2}{7}) - 2 = x+2-2 = x[/tex]
[tex]g(f(x)) = g(7x-2) = \frac{7x-2 + 2}{7} = \frac{7x}{7} = x[/tex]
since both f(g(x)) = x and g(f(x)) = x, we can determine that they are inverses of each other.
how do i do this could you show step by step please?
The value of x from the given right triangle in rational form is 14√
SOH CAH TOA identityThis is a way of determining the sides and angles of a right triangles
From the given triangle
Opposite = 7√4 = 14
Hypotenuse = x
acute angle = 45 degrees
Using the theorem
sin 45 = 14/x
x = 14/sin45
x = 14√2
Hence the value of x from the given right triangle in rational form is 14√2
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Please help me with this question....
Answer:
A x+2 would move the coordinate 2 units to the right while (x)+2 would move the coordinate 2 up and 2 to the right
Step-by-step explanation:
sorry i couldnt do the second part i ran out of time
Two angles of a triangle are in the ratio of 2:3 if the third angle is 50 degree find the other two angles
Answer:
52° & 78°Step-by-step explanation
Two angles of a triangle are in the ratio of 2:3 if the third angle is 50 degree find the other two angles
the sum of the interior angles in a triangle is 180°
so
180 - 50 = 130°
130 : 5 = 26° (unit)
26 * 2 = 52°
26 * 3 = 78°
--------------
check
50 + 52 + 78 = 180°------------
2 : 3 = 52 : 780.66666666666 = 0.66666666666The answer is good
help help help help help help
Answer: 95 cm³
Step-by-step explanation: To find the volume of any prism, you have to multiply the base × width × height.
In this case, this 3D shape is split into 2 parts.
The first part's dimensions are 8×5×2. So the volume is 80 cm³.
The second part's dimensions are 1×3×5. So the volume is 15 cm³.
Finally, you add both volumes together, and the final answer is 95 cm³.
Factor x³ + x² + x + 1 by grouping. What is the resulting expression?
○ (x²)(x + 1)
O (x² + 1)(x)
O (x² + 1)(x + 1)
O (x³ + 1)(x + 1)
Work Shown:
x³ + x² + x + 1
(x³ + x²) + (x + 1)
x²(x+1) + 1(x + 1)
(x² + 1)(x + 1)
The basic outline is to pair up the terms into two groups. We factor each group separately, and then factor out the overall GCF (x+1). You can use the FOIL rule to verify the answer.
The factored form of x³ + x² + x + 1 is (x²+1)(x+1).
What is Factorization?A number or other mathematical item is factored (or factorised; see English spelling changes) or factored by a number of factors, usually smaller or simpler things of the same kind.
We have,
x³ + x² + x + 1
Now, making groups as
(x³ + x²) + (x + 1)
= x² (x + 1) + (x+1)
= (x²+1)(x+1)
So, resulting expression is (x²+1)(x+1).
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HELP PLEASE ILL MAKE YOU THE BRAINIEST What is the area of the regular polygon?
Based on the calculations, the area of this regular polygon (hexagon) is equal to 24 m².
How to calculate the area of a regular polygon?Mathematically, the area of a regular polygon can be calculated by using this formula:
Area = (n × s × a)/2
Where:
n is the number of sides.s is the side length.a is the apothem.Note: The apothem of a regular polygon is half the length of one side.
Therefore, Length = 2 × 2 = 4 meter.
Substituting the parameters into the formula, we have;
Area = (6 × 4 × 2)/2
Area = 48/2
Area = 24 m².
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In a school in florida, 60% of the students stay in the school's dormitory and 40% stay with their families. the school records show that 30% of the students living in the dormitory and 20% of the students living with their families obtain as on exams. if a student chosen at random from the school receives as, the probability that the student lives in the school dormitory is .
Answer: 9/13
Step-by-step explanation:
plato classes
Solve (4x+1) - (3x-4)
Answer:
= x + 5
Step-by-step explanation:
(4x+1) - (3x-4)
= (4x+1) -3x + 4
= 4x - 3x + 1 + 4
= x + 5
You are going to visit a relative out of town and want to go to the gym while visiting. Hunkey Heros charges a registration fee of $50 plus a monthly fee of $20. Zipity-zapity- zap-that-fat charges $70 to join, but only $10 per month. After how many months do the gyms cost the same? a) Declare your variables:
c) Solve
b) Write a system of equations:
The number of months when the gyms cost the same is 5 months.
When would the cost be the same?Total cost of joining the gym = registration fee + (cost per month x number of months)
Hunkey Heros = $50 + $20m Zipity-zapity- zap-that-fat = $70 + $10mWhen the gyms costs are the same, the two above equations would be equal to each other:
50 + 20m = 70 + 10m
20m - 10m = 70 - 20
10m = 50
m = 50 / 10
m = 5
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Iman has 48 months to save $18,000, the maximum amount he estimates his first year of college will cost. he does not want to depend on interest, and does not consider interest when determining his minimum monthly savings goal. what is the minimum amount he should save per month to achieve his goal? $350.00 $375.00 $425.00 $450.00
Answer:
$ 375 / month
Step-by-step explanation:
$ 18 000 / 48 months = 375 /month
The minimum amount he should save per month to achieve his goal is $375.00. Thus, option 2 is correct.
Given that:
Number of months = 48
Monthly savings = $18,000
The minimum amount to save per month can be calculated by dividing the total amount by the number of months:
Minimum monthly savings goal = Total amount to save / Number of months
Minimum monthly savings goal = $18,000 / 48
Minimum monthly savings goal ≈ $375.00
Therefore, the minimum amount he should save per month to achieve his goal is $375.00. Thus, option 2 is correct.
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Find the measure of one interior angle of a regular polygon with 13 sides
Answer:
152.3 approximately
Step-by-step explanation:
A polygon with 13 sides (and angles too) would be called tridecagon
Now, the sum of interior angles in a polygon is calculated by dividing the number of angles minus 2 by 180 [(n-2)*180]
(13-2)/180 = 1.980 and to find what is the measure of one angle, we divide the sum by the number of angles the polygon has
1.980/13 = 152.3 approximately
In a graph, x represents the number of months since a business opened, and y represents the total amount of money the business has earned. The following three points are from the graph:
(2, 1990) (5, 4225) (9, 7205)
Find the slope and y-intercept. Explain what each represents.
The slope of the line is 745, the y-intercept of the line is 500 and the equation of the line is y = 745x + 500
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}\\[/tex]
We have points on the graph:
(2, 1990) (5, 4225) (9, 7205)
The slope can be found using two points:
[tex]\rm m =\dfrac{4225-1990}{5-2}\\[/tex]
m = 745
The line can be written as:
y = mx + c
y = 745x + c
Plug point (2, 1990)
1990 = 745x + c
1990 = 745(2) + c
c = 500
y = 745x + 500
The pace of increase in money per month is represented by the slope.
Every month, the sum increases by $745.
The initial quantity of money when the business opened is represented by the y-intercept.
The company began with a $500 investment.
Thus, the slope of the line is 745, the y-intercept of the line is 500 and the equation of the line is y = 745x + 500
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What is the the slope and y-intercept in the equation and what do both mean in context of the problem? y= 0.98x + 1.44
Answer:
The slope is 0.98 and the y-intercept is 1.44.
Step-by-step explanation:
The equation is a linear equation in the Slope-Intercept form y=mx+b. It’s called this because it identifies the slope m and the point on the y-axis at which the line intersects.
A function is defined by x)- What is f(-8)?
0-2
N FIC
02
02
FIND AREA OF THE FIGURE
when receiving this kind of questions, you just need to find a figure that you can calculate the area of or split the figure in multiple figures that you can calculate.
the length of a line is y centimetres write down an expressions in terms of y for the length of the line in millimetres
Answer:
L=10y
Step-by-step explanation:
1cm=10mm
Hence, the length in millimeters will be 10 times the value in cm.
Which equations graph as circles?
x² + x + y² = 4
2x + x + y² = 8
x² + y² = 5
x² + x + y = 6
x² + y² + y = 1
Answer:
A, C, and D
Step-by-step explanation:
Hope this helps!
If not, I am sorry.
2x(x-5)-x(3+2x)=26
help me pls
Answer:
x=−2
Step-by-step explanation:
hope it helps yaa
PLA HELP ME ITS DUE TOMORROW
Step-by-step explanation:
To Find the number of people in the survey = 36+28+14+12+10 => 94The least prefer mode of transportation is Taxi , as we can see is is preferred by 10 peoples.Most preferred transportation is Bus which was preferred by 36 people.Number of persons who prefer to ride the motorcycle is 12.People in two sample groups were asked to identify their favorite kind of pizza. study the results and circle a generalization
Answer:
Group B
Step-by-step explanation:
You can see even with the same total group b likes the most topppings
Help ASAP!
Solve the following linear system by graphing. 7x – 2y = −4
Y=−5
a (-2,-5)
b (-6,0)
c (1,5)
d (7,-4)
11 Select the correct answer. The equations and are graphed on the coordinate grid. How many real solutions does the equation have? A. 0 B. 1 C. 2 D. cannot be determined from the graph
PLEASE HELP I’LL MAKE YOU THE BRAINIEST
write the ratio for tan A
Answer:
tan A = 5/12
Step-by-step explanation:
The tangent ratio is equal to the length of the side opposite of the angle over the length of the side adjacent to the angle. If we are finding tangent in respect to angle A, the opposite side would be line CB with a length of 5. The adjacent side is line AC with a length of 12. Therefore, the tan A ratio is 5/12.
What does the t-coordinate of the solution to this system represent? the time at which the ball and the dog hit the ground the time at which the ball and the dog begin moving the time at which the ball and the dog's mouth are at the same height
The t-coordinate of the solution to this system represents C. the time at which the ball and the dog's mouth are at the same height.
How to explain the coordiante?
A coordinate time scale is a time standard designed for use as the time coordinate in the calculation.
When Laurie throws a tennis ball toward her dog from a height, the t-coordinate of the solution to this system represents the time at which the ball and the dog's mouth are at the same height
The complete question is:
Laurie throws a tennis ball toward her dog from a height of 4.5 ft. The initial vertical velocity of the ball is 18 ft/s. At the same time as Laurie throws the ball, her dog jumps with an initial vertical velocity of 21 ft/s. When the dog jumps, its mouth is 1.5 ft above the ground. What does the t-coordinate of the solution to this system represent?
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Answer:
C
Step-by-step explanation:
I got it right