The result function of (fog)(x) in the given functions is 3x² - 1.
What is the result function of (fog)(x)?Given the functions in the questions;
fx(x) = 3x - 1g(x) = x²(fog)(x) = ?Set up the composite result function and simplify.
(fog)(x) = f(g(x) = f(x²)
Evaluate f(x²) by substituting in the value of g into f
fx(x) = 3x - 1
f(x²) = 3(x²) - 1
Now, simplify
f(x²) = 3(x²) - 1
f(x²) = 3x² - 1
Therefore the result function of (fog)(x) in the given functions is 3x² - 1.
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HELP ASAP PLEASE AND THANK YOUUU i will mark you brainliest!!!!!!!
Answer:
(2,0)
Step-by-step explanation:
Answer:
2,0
Step-by-step explanation:
brainliest please, also have a nice day ^^
The length of a Fruity Chew is a normally distributed random variable X with an average width of
1.2 cm and a standard deviation of 0.12 cm (Ms Pitt did a lot of "research").
a.
Find the probability, correct to four decimal places, that the length of a selected Fruity
Chew is
i.
between 0.8 and 1.5 centimetres
The probability that a selected fruity chew length is between 0.8 and 1.5 cm is 0.00578.
A fruity chew's length is normally distributed with random variable X with an average width of 1.2 cm.
The standard deviation is 0.12 cm.
Therefore, mean μ = 1.2 cm and;
Standard deviation, σ = 0.12 cm
Now, the probability is given as:
z = ( x - μ ) / σ
The probability that the length of a selected fruity chew is between 0.8 and 1.5 cm.
P( 0.8 < x < 1.5 )
For, P( X > 0.8)
z = ( x - μ ) / σ
z = ( 0.8 - 1.2 ) / 0.12
z = - 0.4 / 0.12
z = - 3.33
Using the z score table,
P( X > 0.8 ) = 0.99957
For P( x < 1.5),
z = ( x - μ ) / σ
z = ( 1.5 - 1.2 ) / 0.12
z = 2.5
Using the z score table,
P( X < 1.5) = 0.99379
Therefore, the probability is between 0.8 and 1.5 cm will be:
= 0.99379 - 0.99957 = 0.00578
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ANSWER ALL WITH THE NUMBER LABELED:))
LESSON 8.2
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.
Based on the central angle theorem:
1. m<RQS = 100°
2. m<IJH = 70°
3. m<TQR = 100°
What is the Central Angle Theorem?The measure of the central angle of a circle is the same as the measure of the intercepted arc, according to the central angle theorem.
1. m<RQS = measure of arc RS [central angle theorem]
Measure of arc RS = 180 - 80
Measure of arc RS = 100°
m<RQS = 100°
2. m<IJH = measure of arc HI [central angle theorem]
Measure of arc HI = 360 - 140 - 150
Measure of arc HI = 70°
m<IJH = 70°
3. m<TQR = measure of arc TR [central angle theorem]
Measure of arc TR = 360 - 120 - 140
Measure of arc TR = 100°
m<TQR = 100°
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what is the rules of rounding errors
Answer: Rounding error is the difference between a rounded-off numerical value and the actual value. A rounded quantity is represented by a numeral with a fixed number of allowed digits, with the last digit set to the value that produces the smallest difference between the rounded quantity and the actual quantity.
Ab’s a midpoint. Find the value of x.
Answer:
b) x=25
Step-by-step explanation:
If B is a midpoint, then segments AB and BC should be equal to each other.
Then you can make an equation making both segments equal to one another:
2x-8=x+17
2x-x=17+8
x=25
Trei kilograme de mere si patru kilograme de pere costa 43 de lei,iar cinci kilograme de mere si trei kilograme de pere costa 46 de lei.Cat costa un kilogram de mere si cat costa un kilogram de pere? Repede dau coroana!!!
Answer: ifrkjnvkrhlkv
Step-by-step explanation: yeah
Tamika has 48 pencils and 80 pens that she is dividing up evenly in teacher supply boxes that
will contain both pencils and pens.
(a) What is the greatest number of boxes she can use so that each box contains the same
number of pencils and each box contains the same number of pens? Justify.
Hint: Look at the bold underlined word, that should be a good clue as to what strateg
to use.
(b) Based on your answer to (a), how many pencils and how many pens will be in each b
The Upside Down Birthday Cake/Ladder Method works great here.
(a) The greatest number of boxes she can use so that each box contains the same number of pencils and pens is 48.
(b) There will be 48 pencils and pens in each box.
We have given that Tamika has 48 pencils and 80 pens.
So, the greatest number of boxes is 48, because the total number of pencils is 48, in order to share the same number of pencils and pens, the greatest number of boxes would be 48.
And,
Based on above answer and according to question's statement (each box contains the same number of pencils and each box contains the same number of pens), so, there will be one pencil and one pen in each box.
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For someone to solve this question for me
What is the equation of the line that passes through the point (-1,8) and has a slope of −6?
Answer:
y=-6x+2
Step-by-step explanation:
we know the slope is -6
at -1 it should be at 6
to get 6 to 8 add 2
100 POINTS NEED HELP ASAP
A line passes through point (2,3) and has a slope of -4.
Write an equation in Ax + By = C form for this line.
Use integers for A, B, and C.
Answer:
Step-by-step explanation:
Point slope formula y - y1 = m( x - x1)
y - 3 = -4(x - 2)
y - 3 = -4x + 8
y = -4x + 11
check
(2,3)
Y = -4x + 11
3 = -4(2) + 11
3 = -8 + 11
3 = 3
Standard form 4x + y = 11
what is the answer to
-33/11?
Answer: -3
Step-by-step explanation: -33 ➗11= -3
-Solve the equation. Write a reason for each step. 12x = 28 - 16x
Ex.1. Nine counters numbered 1, 2, 3, 4, 5, 6, 7, 8, 9 are placed in a bag One is taken out at random. What is the probability that it is: (a) a 5 (c) less than 5 (b) divisible by 3 (d) divisible by 4.
The probabilities for the given situations are:-
a) 1/10
b) 2/5
c) 3/10
d) 1/5
Probability = Number of Favorable Outcomes/Number of outcomes
For a) P( getting 5) = 1/10
b) P( getting less than 5) = 4/10 , (Favorable outcomes = 1,2,3,4)
= 2/5
c) P (divisible by 3 ) = 3/10 , (Favorable outcomes = 3,6,9)
d) P( divisible by 4) = 2/10 , (Favorable outcomes = 4, 8)
= 1/5
So, the probabilities for the given situations are:-
a) 1/10
b) 2/5
c) 3/10
d) 1/5
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If you could exactly afford either 2 units of x and 7 units of y, or 4 units of x and 3 units of y, then if you spent all of your income on y, how many units of y could you buy?
Answer:
11 units of y
Step-by-step explanation:
Let total income be I
We have the two equations
2x + 7y = I (1) (exactly afford 2 units of x and 7 units of y)
4x + 3y = I (2) (exactly afford 42 units of x and 3 units of y)
Multiply (1) by 2
==> 2(2x + 7y) = 2 x I
==> 4x + 14y = 2I (3)
Subtract (2) from (3)
(3) - (2)
==> 4x + 14y - (4x + 3y) = 2I - I
==> 4x + 14y - 4x - 3y = 2I
==> 14y - 3y = I (x terms cancel)
==> 11y = I
This represents an equation where if you buy 11 units of y, it will be your whole income
Answer: 11 units of y
Help, please! I can't figure out how to solve this problem for my geometry class. Please give me a clear, step-by-step answer to receive 20 points for your brainly score. Thanks!
The equation is 2x - 8 + 11 = x + 10
The value of x is 7
The value of RS is 6
The value of RT is 17
Solving linear equationsFrom the question, we are to write and solve an equation for x
From the given information,
RS = 2x - 8
ST = 11
RT = x + 10
From above, we can write that
RS + ST = RT
Thus,
2x - 8 + 11 = x + 10
Solve the equation for x
2x - 8 + 11 = x + 10
2x - x = 10 - 11 + 8
x = 7
∴ The value of x is 7
Now,
For the values of RS and RT
RS = 2x - 8
∴ RS = 2(7) - 8
RS = 14 - 8
RS = 6
and
RT = x + 10
RT = 7 + 10
RT = 17
Hence,
The equation is 2x - 8 + 11 = x + 10
The value of x is 7
The value of RS is 6
The value of RT is 17
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Think about the function f(x) = 3 - 2x.
What does the notation f(0) mean?
The output value of f(0) in the given function is 3, these form an ordered pair of the y-intercept (0,3).
What is the output value of f(0)?Given the function in the question;
f(x) = 3 - 2xf(0) = ?f(0) equals to the value gotten when 0 replaces all the occurrences of x in the function, this gives an ordered pair of the y-intercept.
f(x) = 3 - 2x
f(0) = 3 - 2(0)
Simplify
f(0) = 3 - 0
f(0) = 3
Therefore, the output value of f(0) in the given function is 3, these form an ordered pair of the y-intercept (0,3).
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An astronaut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. tall, and the initial velocity of the ball is 40 ft per sec. The height s of the ball in feet is given by the equation s equals negative 2.7 t squared plus 40 t plus 6.5s=−2.7t2+40t+6.5, where t is the number of seconds after the ball was thrown. Complete parts a and b. a. After how many seconds is the ball 10 ft above the moon's surface?
The ball when thrown at initial velocity of 40ft/sec is 10 ft above the moon's surface after approximately 0.09 seconds and 14.73 seconds .
When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time.
The given equation for the height of the ball from the surface after t seconds is given by :
s=-2.7t²+40t+6.5
The initial velocity is 40ft/second.
the height of the ball is 10 ft from the surface.
therefore: s=10
Substituting the value in the equation we get:
10=-2.7t²+40t+6.5
or, -2.7t²+40t-3.5=0
This is a quadratic equation in t . Solving by the quadratic formula we get:
We know that for a equation: ax²+bx+c=0
[tex]{\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}}[/tex]
So using the above equation we get:
[tex]{\displaystyle x={\frac {-40\pm {\sqrt {40^{2}-4(-2.7)(-3.5)}}}{2(-2.7)}}}[/tex]
either x=14.726... or x= 0.088...
Therefore x≈14.73 and x≈ 0.09
So the ball will be 10 ft above the moon's surface after approximately 0.09 seconds or 14.73 seconds .
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Type an equation for the following pattern.
Answer:
Slope(green box) = -3
Intercept(grey box) = 8
Step-by-step explanation:
To determine the best equation to represent the given pattern, we need to find two things.
First: we need to figure out the slope of the function, or in other words, how much the y value changes by each time the x value changes.
Second: we need to find the y-intercept, which is the value of y when x = 0. This value will be the constant of the function which is added to the equation each time.
To start, let's analyze the pattern to find the slope of the function...
As the x -values go up by 1 each time, the y-values are as follows:
5 --> 2 --> -1 --> -4 --> -7
It looks like the numbers decrease by 3 each time, so we can safely assume our slope is -3.
Now, let's find our intercept. We can do this by going to our lowest x value, and adding 3 (opposite direction of our slope) from its y-value to find the y-value of x = 0.
So...
When x = 1, y = 5
5 + 3 = 8
So when x = 0, y = 8, our intercept!
Correlation coefficient: If the correlation coefficient for a given scatterplot is r = -0.81, which of the following must be true about the relationship between the explanatory and response variable?
A) The association has a linear form.
B) The association must be positive.
C) The slope must be negative.
D) The association is weakened by outliers.
Answer:
C) The slope must be negative.
Step-by-step explanation:
Correlation coefficient between the explanatory variable x and the response variable y shows whether increases in x will result in an increase or decrease in y
Here correlation coefficient is r = -0.81
Since it is negative, that means the slope of least-squares regression line will be negative
Answer:
C. The slope must be negative.
Step-by-step explanation:
The association has to be negative because if the scattetplot. is 0.81 then the relationship between the exploratory and response variable.
2|x+7|=18
explain steps
Answer:
x=2
Step-by-step explanation:
2x+14=18
2x=18-14
2x=4
x=4/2=2
x=2
hope u understand
2. 7th-grade easy math PLEASE Answer this is for a grade
SHOW YOUR WORK AND TAKE A PICTURE
PLS
PLEASE Answer correctly this is for a grade
SHOW YOUR WORK AND TAKE A PICTURE
The expression on the table shows that the shelf pace that the books take is 1 inch per book.
How to calculate the value?Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
It should be noted that from the table, the relationship between the books and the inches is illustrated on the table.
Relationships between two variables that are proportional occur when their ratios are equal. Therefore, this is a proportional relationship and is illustrated as:
= 2/2
= 1
Therefore, there's 1 inch per book.
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What is the value of x?
Answer:
x=2
Step-by-step explanation:
All of the dimensions on the Left (hex) = all of the dimensions summed on the Right (tri)
6 (5x) = x+14 + x+17 + 8x+9
30x = 10x + 40
20x=40
x = 2
Answer:
x = 2
Step-by-step explanation:
6(5x) = x + 14+ x +17 + 8x +9
30x = (10x + 40)
Substrate 10x from both sides.
30x-10x = 30x-10x+40
20x = 40
Divide both sides by 20
x = 2
Therefore x = 2
To check out your work
the both sides are equal.
Substitute x for 2.
6(5x) = x + 14+ x +17 + 8x +9
60 = 60
The area of the garden is 289 square feet, how many feet of fencing needs to be brought? If fencing costs $9, how much will it cost?
The cost of fencing the garden is 2601 dollars.
How to find the cost of fencing the garden?The area of the garden is 289 square feet.
The fencing cost 9 dollars per square feet's.
Therefore, the cost to fence a garden with area of 289 square feet can be calculated as follows:
Hence,
1 square feet's = 9 dollars
289 square feet = ?
cross multiply
Hence,
cost of fencing the garden = 9 × 289
cost of fencing the garden = 2601
cost of fencing the garden = 2601 dollars
Therefore, the cost of fencing the garden is 2601 dollars.
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amplitude and period of y = 1 + cos 0
Amplitude and period of y = 1 + cos 0 are amplitude: = 1 and period: 2π respectively.
The cosine function cosx is one of the basic functions encountered in trigonometry
y = 1 + cos 0
Rewrite the expression as
−cos(x)+1.
Use the form
acos(bx−c)+d
To find the variables used to find the amplitude, period, phase shift, and vertical shift.
a =-1
b =1 = d
c=0
Find the amplitude
Let
Amplitude: = 1
Phase Shift: = 0
List the properties of the trigonometric function.
Amplitude: 1
Period: 2π
Phase Shift: None
Vertical Shift: 1
So the amplitude and period of the equation y = 1 + cos 0 are 1 and 2 correspondingly.
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The amplitude and period of the equation y = 1 + cos 0 are 1 and 2 correspondingly.
The cosine formula One of the fundamental trigonometry functions is cosx.
y = 1 + cos 0
Change the wording to
−cos(x)+1.
Apply the form
acos(bx−c)+d
to identify the parameters used to calculate the vertical shift, phase shift, amplitude, and period.
a =-1
b =1 = d
c=0
Measure the amplitude.
Let
Amplification: 1
0 for phase shift
Describe the trigonometric function's characteristics.
1 amplitude
Duration: 2
No phase shift
Shift Vertically: 1
As a result, y = 1 + cos 0 has an amplitude and period of 1 and 2, respectively.
find the smallest number which when doubled will be exactly divisible by 4, 10, 15
If two triangle angles are 37 and 69 what is the third angle?
Answer:
37+69=106
180/106= 74
Step-by-step explanation:
its 74
Answer: 74°
Step-by-step explanation:
the two angles are first added
the sum of a triangle is 180° so the third angle equal 180- sum of angles.
37+69=106
180-106= 74°
1.) The function g is related to one of the parent functions
g(x) = x^2 + 6
The parent function f is:
f(x)= x^2
Use function notation to write g in terms of f.
Step-by-step explanation:
if [tex]f(x) = {x}^{2} [/tex]g(x)=f(x) +6 is the solution!
The grid above shows the graph of the parent function
f(x)=|x|
and a translated functions graph.
Write the equation for the translated graph.
Ps: please only answer if you can explain it/help me understand it.
The parent function, f(x) = |x|, and the graph of the parent and translated function, gives the equation of the translated graph as; f(x) = |x + 3|
Which equations can be used to represent the given graphs?The given parent function is; f(x) = |x|
From the parent function, we have;
When x = 0, f(0) = 0
The graph of the parent function is therefore the red graph.
The location of the vertex of the translated graph is at (x - 2, y + 1)
Given that the slope of the image of the graph of the parent function is the same as the slope of the graph of the parent function, we have;
(x, y) → (x - 2, y + 1)
Therefore in the image, the coordinates of y = x + 3
Which gives the equation for the translated graph as; y = |x + 3|
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Mathwatch question please help
Answer:
before 7 = 10%
after 7 = 90
Step-by-step explanation:
percetanges are part/whole
before 7 there are 15 people (the part) and in total there are 150 (the whole) so divide 15 by 150 and miltiply by 100 to get 10
after 7 there are 135 (the part) and the total is still 150 (the whole) so divide 135 by 150 and multiply by 100 to get 90
