Answer:
the answer is (x )
math way helps
Step-by-step explanation:
The requried function of function f(g(x)) is given as x² + 6x +5.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
Given functions,
f(x)=x²−4 and g(x)=x+3
In order to form a function of function we have to function g(x) in function f(x)
Now,
f(g(x)) = f(x)=(g(x))²−4
f(g(x)) = f(x)=(x+3)²−4
f(g(x)) = x² + 6x + 9 -4
f(g(x)) = x² + 6x +5
Thus, the requried function of function f(g(x)) is given as x² + 6x +5.
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Which phrases describe the graph of f(x)=|x|? Check all that apply
Take a look at the graph of [tex]f(x)=|x|[/tex], also known as the absolute value of [tex]x[/tex].
As shown by the graph attached, it is V-shaped, opens up, and is symmetric with respect to the vertical/y-axis.
Joe
,
sarah
and
katie
share a sum of money in the ratio
5
:
8
:
4
. If
sarah
receives $
32
more than
katie
, find the amount of money that is being shared.
Answer:
muji chus mero lado madeaghw you mother machinery
Answer:
After finding all the amount add them and your amount shared will be dollar 136
Find x.
02
3√2
04√3
02√3
Answer:
x
Step-by-step explanation:
2^3
Plot all ordered pairs for the values in the domain D: (-8, -4, 0, 2, 6)
All ordered pairs for the values in the domain will be (-8, -3), (-4, -1), (0, 1), (2, 2), and (6, 4).
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space.
The function is given below.
y = (1/2) x + 1
Then the domain is D: (-8, -4, 0, 2, 6)
Then the ordered pair will be
For x = -8
y = (1/2)(-8) + 1
y = -3
For x = -4
y = (1/2)(-4) + 1
y = -1
For x = 0
y = (1/2)(0) + 1
y = 1
For x = 2
y = (1/2)(2) + 1
y = 2
For x = 6
y = (1/2)(6) + 1
y = 4
All ordered pairs for the values in the domain will be (-8, -3), (-4, -1), (0, 1), (2, 2), and (6, 4).
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Time Remaining
59:49
Triangle E G F is cut by line H J. Line H J goes from side E G through side G F. Lines E F and H J are parallel.
Using the side-splitter theorem, which segment length would complete the proportion?
StartFraction G H Over H E EndFraction = StartFraction question mark Over J F EndFraction
GF
JH
GJ
EF
Using the side-splitter theorem, the segment length that would complete the proportion is GJ.
How to illustrate the information?It should be noted that the side splitter theorem states that when a line intersects two sides of a triangle and is also parallel to the third side, then it'll divide the sides proportionally.
From the information given, it can be deduced that EF and HJ are parallel while H is on the side EG and J is on GF. Therefore, according to the theorem, GH/HE = GJ/JF
Therefore, the correct option is GJ.
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Answer: C.
Step-by-step explanation: Trust Me! It was correct on the Edge quiz! :)
Please Help Me Asap I Need Units Too
Hello and Good Morning/Afternoon
Let's take this problem step by step:
To find the rate of change is essentially like finding a line's slope:
⇒ the x-values are the number of sodas
⇒ the y-values are the total costs
⇒ choose two sets of coordinates and find the slope
Let's put that into action
Choose any two points⇒ (24, 18)
⇒ (28, 21)
Calculate Slope[tex]Rate_.of_.change = \frac{21-18}{28-24} =\frac{3}{4}[/tex]
Since the rate of change is total cost over number of sodas
⇒ unit is 'total cost/number of sodas'
Answer: 3/4 total cost/number of sodas
Hope that helps!
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A girl ran from her home to a store at the rate of 6 mph, and she walked back home at the rate of 4 mph. if it took 15 minutes for the round trip, how far away is the home from the store?
Home is 0.6 miles away from the store
How to solve such time related questions?
The key concept for solving such questions is the relationship between speed, distance and time.
The relationship between them is Distance = Speed x Time
Given:-
Total time taken by girl to complete the trip = 15 minutes = [tex]\frac{1}{4}[/tex] hours
Speed while riding going = 6 miles per hour
Speed while coming back = 4 miles per hour
Total time taken by girl =
Time taken while going + Time taken while coming back - (1)
Let x be distance from home to store
[tex]\frac{x}{6}[/tex] = Time taken while going
[tex]\frac{x}{4}[/tex] = Time taken while coming back
Substituting in (1) we get
[tex]\frac{1}{4} = \frac{x}{6} + \frac{x}{4}[/tex]
[tex]\frac{1}{4} = \frac{2x + 3x}{12}[/tex]
[tex]\frac{1}{4} = \frac{5x}{12}[/tex]
[tex]x= \frac{12}{20}[/tex]
x = 0.6 miles
Thus home is 0.6 miles away from the store
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2 divided by 9 = 5/2 divided by 5/4
The given equality 2 divided by 9 = 5/2 divided by 5/4 is seen to be; False because LHS ≠ RHS
How to solve equalities?We are given the equality;
2 divided by 9 = 5/2 divided by 5/4
We want to check whether the left hand side of the equality is equal to the right hand side. Thus;
Left hand side can be expressed as;
2 divided by 9 = 2/9
Now, right hand side can be expressed as;
5/2 ÷ 5/4
⇒ (5/2) * (4/5)
⇒ 2
Therefore we can see that LHS is not equal to RHS and so the equality is false.
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However, in the anonymous follow-up survey that re-interviewed the respondents, only 80 percent responded that they would be open to supporting a woman candidate. What could be generating these different results
Social-desirability biases is the sort of response bias that is the tendency of the survey respondent to answer the question in a manner that is favorable to others.
As Maria found that most respondents 98% of the voters were open to support women candidates. The social desirably bias poses a serious problem during the self-reporting as the bias interferes with the interpretations of the average tendencies.
As however during the anonymous survey of the voters or respondents showed only 80% of them would support the women candidate.
Hence the social desirability bias is the main culprit for such a response.
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A bag contains 2 gold marbles, 9 silver marbles, and 24 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win $3. If it is silver, you win $2. If it is black, you lose $1. What is your expected value if you play this game
The expected value on playing this game is -5/36.
Given: 2 gold marbles, 9 silver marbles, and 24 black marbles.If it is gold, you win $3. If it is silver, you win $2. If it is black, you lose $1.
To find: Expected value on playing the game
Chance of occurrence of gold = 1/36
Chance of occurrence of silver = 9/36
Chance of occurrence of black = 26/36
On multiplying the given probability of occurence with the amount you would lose or win
we get,
1/36 * 3 + 9/36 * 2 - 26/36 * 1
3/36 + 18/36 - 26/36
=$ -5/36
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What is the probability that a simple random sample of 45 unemployed individuals will provide a sample mean within 1 week of the population mean
The probability that a simple random sample of 45 unemployed individuals will provide is 0.7372
Here, μ = 17.5, σ = 0.8944, x1 = 16.5 and x2 = 18.5.
We need to compute P(16.5<= X <= 18.5).
The corresponding z-value is calculated using Central Limit Theorem.
z = (x - μ)/σ
z1 ⇒ (16.5 - 17.5)/0.8944 = -1.12
z2 ⇒ (18.5 - 17.5)/0.8944 = 1.12
Therefore, we get
P(16.5 <= X <= 18.5) = P((18.5 - 17.5)/0.8944) <= z <= (18.5 - 17.5)/0.8944)
⇒ P(-1.12 <= z <= 1.12) = P(z <= 1.12) - P(z <= -1.12)
⇒ 0.8686 - 0.1314 = 0.7372
The principal limit theorem states that if you have a population with imply μ and trendy deviation σ and take sufficiently huge random samples from the populace with alternative, then the distribution of the pattern method may be about usually distributed.
The relevant limit theorem (CLT) states that the distribution of pattern manner approximates a normal distribution as the pattern size gets larger, regardless of the population's distribution. sample sizes identical to or extra than 30 are often considered enough for the CLT to preserve.
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Lizette wanted to see if it would be possible to use a little less materials in a tea infuser but still not be required to be at full capacity. Her rectangular pyramidal tea infuser would be 7 cm high, 3 cm long and 1.5 cm wide. The tea infuser from the example, was the same except 7.9 cm high and was filled to 80% capacity.
Would these dimensions work, if so to what percent would Lizette's infusers have to be filled to use the same amount of tea?
The percentage that the infuser will have to be filled to use the same amount of tea will be 90.23%.
How to calculate the percentage?The infuser for Lizeete is 7 cm high, 3 cm long and 1.5 cm wide. The volume will be:
= 7 × 3 × 1.5
= 31.5cm³
The tea infuser from the example, was the same except 7.9 cm high. Therefore, the volume will be:
= 7.9 × 3 × 1.5
= 35.5
Since it was filed to 80%, this will be:
= 80% × 35.5
= 31.5cm³
Therefore, the dimensions will work and the percentage to use the same amount of tea will be:
= 28.44/31.5 × 100
= 90.23%
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f CA = 8, what is C'A'?
10 units
12 units
16 units
20 units
Segment AC was dilated by a scale factor of 2 to form A'C' measuring 16 units
What is a transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.
Dilation is the increase or decrease in the size of a figure.
Let us assume that segment AC was dilated by a scale factor of 2 to form C'A', hence:
A'C' = 2 * AC = 2 * 8 = 16 units
Segment AC was dilated by a scale factor of 2 to form A'C' measuring 16 units
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1) a jewelry store sells gold and platinum
rings. each ring is available in ten styles
and is fitted with one of nine gemstones.
a) 187 b) 265
c) 180
d) 195
find the number of possible outcomes
un wd
The number of possible outcomes are 180.
How do you find the number of possible outcomes?To find the total number of possible outcomes for two or more events, multiply the number of outcomes for each event together.
Given that,
We have two types of rings Gold and platinum
For this event (material) we have 2 outcomes.
Each ring is available in 10 style
For this event (style) we have 10 outcomes.
Each ring is fitted with 9 gemstones
For this event (gem) we have 9 outcomes.
Total number of possible outcomes = 2×10×9
= 180
Hence, The number of possible outcomes are 180.
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Solve the inequality c−32≥0 and write the solution in interval notation.
Answer:
[32, ∞]
Step-by-step explanation:
c - 32 ≥ 0 can be rewritten as c ≥ 32 (adding 32 on both sides)
So for any value of between 32 and infinity both inclusive is a solution
Solve the following using distributive property:
9(x+3)=4x-3
Answer:
x = -6
Explanation:
⇒ 9(x + 3) = 4x - 3
apply distributive method: a(b + c) = ab + ac
⇒ 9(x) + 9(3) = 4x - 3
multiply variables
⇒ 9x + 27 = 4x - 3
collect like terms
⇒ 9x - 4x = -3 - 27
subtract like terms
⇒ 5x = -30
divide both sides by 5
⇒ x = -6
Answer:
x = -6
Step-by-step explanation:
distribute 9(x+3) = 9x+27
9x+27 = 4x-3 subtract -27 and -4x on each side
9x-4x = -3-27 combine like terms
5x = -30 divide by 5
x = -6
An open-top rectangular box with square base is to be made from 100 square feet of material, as shown.
What is the largest possible volume of the box?
The largest possible volume of the given box is; 96.28 ft³
How to maximize volume of a box?Let b be the length and the width of the base (length and width are the same since the base is square).
Let h be the height of the box.
The surface area of the box is;
S = b² + 4bh
We are given S = 100 ft². Thus;
b² + 4bh = 100
h = (100 - b²)/4b
Volume of the box in terms of b will be;
V(b) = b²h = b² * (100 - b²)/4b
V(b) = 25b - b³/4
The volume is maximum when dV/db = 0. Thus;
dV/db = 25 - 3b²/4
25 - 3b²/4 = 0
√(100/3) = b
b = 5.77 ft
Thus;
h = (100 - (√(100/3)²)/4(5.77)
h = 2.8885 ft
Thus;
Largest volume = [√(100/3)]² * 2.8885
Largest Volume = 96.28 ft³
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Consider the polynomial function h(x)= -7x^6+3x^4-5x^2
The end behavior of the function is [tex]\mathrm{as}\:x\to \:+\infty \:,\:h\left(x\right)\to \:-\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:h\left(x\right)\to \:-\infty \:[/tex]
How to determine the end behavior?The function is given as:
[tex]h(x)= -7x^6+3x^4-5x^2[/tex]
Next, we plot the graph of the function (see attachment)
From the attached graph, we can see that:
The function approaches negative infinity, irrespective of the direction of the x value
Hence, the end behavior of the function is [tex]\mathrm{as}\:x\to \:+\infty \:,\:h\left(x\right)\to \:-\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:h\left(x\right)\to \:-\infty \:[/tex]
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What is the decimal expansion of the following fraction? 1/10
Answer:
0.1
Step-by-step explanation:
break 1 into 10 parts, and take one part: hence 0.1
Answer:
0.1
Step-by-step explanation:
if Ben has 10.4L of deride and Madison has 940 cal of diesel how much does the pair have altogether
Based on the calculations, the total volume which the pair have altogether is equal to 19.8 Liters.
How to calculate the total volume?In Science, volume is a unit of measurement which indicates the capacity of a container and it has the following units:
Liters (L)Centiliter (cL)Cubic meter (m³)Next, we would convert the volume of Madison's diesel in centiliter to liter as follows:
1 centiliter = 0.01 liter
940 centiliter = X liter
Cross-multiplying, we have:
X = 940 × 0.01
X = 9.4 L.
Total volume = 9.4 + 10.4
Total volume = 19.8 Liters.
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HELP PLEASE
factor completely.
25d^8−80d^4+64=
Answer:
(5d⁴ − 8)²
Step-by-step explanation:
I hope this is helpful!
Does the parabola open up or down?
What would the sign of the second differences be?
What are the coordinates of the vertex?
What is the equation of the axis of symmetry?
What is the optimal value?
Is the optimal value considered a max or min?
What are the x-intercepts?
What is the y-intercept?
The parabola opens down, the sign of the second difference is positive and the equation of the axis of symmetry is x = 1
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have given a graph of a parabola.
From the graph:
The parabola opens down.
The sign of the second difference is positive.
The coordinates of the vertex is at (1, 3)
The equation of the axis of symmetry is x = 1
The optimal value of the parabola is at y = 3
The optimal value is considered a max value.
The x-intercepts is at (-1, 0) and (3, 0)
The y-intercept is at (0, 5/2)
Thus, the parabola opens down, the sign of the second difference is positive and the equation of the axis of symmetry is x = 1
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? Question
Each set of ordered pairs represents two points on a line. Match each set of ordered pairs with the description of the line
they are on.
Tiles
(-5,-3) and (-5,3) (-7,-1) and (-1,-7)
(-6,-2) and (6,-2)
The correct matching of the ordered pairs and the line they are on are:
(-5,-3) and (-5,3) - No slope. (-7,-1) and (-1,-7) - Slope = -1(-6,-2) and (6,-2) - No slope What lines do the ordered pairs belong to?The slope of the first pair is:
= (3 - (-3)) / (-5 - (-5))
= No slope as slope is 0
The slope of the second pair is:
= (-7 - (-1)) / (-1 - (-7))
= -1
The slope for the third pair is:
= (-2 - (-2)) / (6 - (-6))
= 0 or No slope
Rest of the question is:
slope = -1
No slope
No slope
slope = 2
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Answer: vertical line- (-5,-3) and (-5,3)
neither- (-7,1) and (-1,-7)
horizontal line- (-6,-2) and (6,-2)
hopefully this helps
Step-by-step explanation:
Which of the following is equivalent to (8 – 5) ÷ 23 ?
A 3/8
B 19/8
C 27/8
D 1/125
Answer:
none
Step-by-step explanation:
(8-5)=3
8-5÷23
=179/23
What is the first quartile of the data set: 11, 24, 13, 18, 16, 21, 23, and 29?
Answer: 15, 15, 16, 21, 23, 29
Step-by-step explanation:
need help with these graphs really quickplease
Answer:
Concave up: (0, infinity)Concave down: (-infinity, 0)a. The graph is concave up in the interval 0 ≤ x ≤ +∞
b. The graph is concave down in the interval -∞ ≤ x ≤ 0
To answer the question, we need to know what intervals are
What are intervals?Intervals are range of values in which a function is valid. It can either be the range of values of input or output of the function.
a. Interval where the graph is concave upFrom the graph, we see that the function is concave up in the interval 0 ≤ x ≤ +∞
So, the graph is concave up in the interval 0 ≤ x ≤ +∞
b. Interval where the graph is concave down
From the graph, we see that the function is concave down in the interval -∞ ≤ x ≤ 0
So, the graph is concave down in the interval -∞ ≤ x ≤ 0
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Volume=
Help me please, thanks
Answer: [tex]144\pi[/tex]
Step-by-step explanation:
The area of the base is [tex]36\pi[/tex].
If we consider the right triangle, by the Pythagorean theorem, the unknown leg, which has a length of 4, is the height.
So, the volume is [tex]144\pi[/tex].
Scientist released 8 rabbits into a new habitat in a year 0.each year, there were twice as many rabbits as the year before.
The question is incomplete. Below you will find the missing part of the question.
How many rabbits were there after x years? Write a function to represent this scenario.
[tex]8(2)^{x}[/tex] rabbits were there after x years.
The function form is [tex]f(x)=8(2)^{x}[/tex]
The number of rabbits released each year is 8.
During 0 year, there will be 8 rabbits;
During year 1, the number of rabbits will be 8+8 = 16, i.e. 8×2¹ = 16
Similarly, during the year 2, the number of rabbits will be 16+16 i.e. 8×2² = 32
So, according to the pattern we can say that the function would be
[tex]f(x)=8(2)^{x}[/tex]
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Question 1 of 10
Which number sentence below matches this word problem?
Jen and Marcus got 15 miles up river before they ran out of gas. They floated
9 miles back down river before they reached the shore. How far did they get?
A. 135÷9 = 15
B. 15-9=6
C. 15-6=9
D. 9+15=24
Answer:
They get 15×9=135
135÷15=9 is your answer
56. Kelly found that the length of the hypotenuse of a triangle was equal to the square root of 125. The length of the hypotenuse was between which two consecutive integers?
A. 10 and 11
C. 30 and 31
B. 11 and 12
D. 62 and 63
Answer: B: 11 and 12
Step-by-step explanation:
- An integer is simply a whole number
- So consecutive integers are simply whole numbers that follow each other (ex: 1, 2, 3)
- The square root of 125 (in decimals) is 11.1803398875, meaning it is higher than 11 but less than 12
- So 11.1803398875 falls between 11 and 12, making the answer B
hope this helps :)