This is about interpretation of graphs.
Option C is correct.
From the graph, we can see the 2 lines representing function f(x) and function g(x).
Now for us to find the value of x in g(x) = k⋅f(x), we need get a mutual x-coordinate where we can easily read their respective y-coordinate values.
We see that the best point for that is where x = -3.
For f(x), when x = -3, y = 1
For g(x), when x = -3, y = -3
we can rewrite them as;
x = -3, f(-3) = 1 and x = -3, g(-3) = -3
Let us plug in the relevant values into g(x) = k⋅f(x) to get;
-3 = k(1)
Thus; k = -1/3
please help me i'll mark you as brainiest if u give me the right answers
Answer:
Here's your answer guy
Step-by-step explanation:
a)cat
b)8
c)6....
Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in was . Assume the amounts are normally distributed with standard deviation . Use the TI-84 Plus calculator to answer the following. (a) Find the th percentile of the bill amounts. (b) Find the rd percentile of the bill amounts. (c) Find the median of the bill amounts. Round the answers to at least two decimal places
The 9th percentile of the bill amounts is 81.0634.
How to calculate the percentile?
Population mean, µ = 110.56
Population standard deviation, σ = 22
a) p = 0.09
Z score at p = 0.09 using excel = NORM.S.INV(0.09) = -1.3408
Value of X = µ + z*σ = 110.56 + (-1.3408)*22 = 81.0634
9th percentile = 81.0634
b) p = 0.66
Z score at p = 0.66 using excel = NORM.S.INV(0.66) = 0.4125
Value of X = µ + z*σ = 110.56 + (0.4125)*22 = 119.6342
66th percentile = 119.6342
c) Median = 0.50
Z score at p = 0.5 using excel = NORM.S.INV(0.5) = 0
Value of X = µ + z*σ = 110.56 + (0)*22 = 110.56
Median = 110.56
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Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The executives hire a statistical consultant and ask her to determine the mean shopping time, , of customers at the supermarkets. The consultant will collect a random sample of shopping times at the supermarkets and use the mean of these shopping times to estimate . Assuming that the standard deviation of the population of shopping times at the supermarkets is minutes, what is the minimum sample size she must collect in order for her to be confident that her estimate is within minutes of
The sample size is 289.
Zα/2 = [tex]Z_{0.025}[/tex]
= 1.96
Sample size = n
n = [Zα/2* σ / E] 2
n = [1.96 * 26 / 3 ]2
n = 288.54
n = 289.
In records, the pattern size is the measure of the number of man or woman samples used in an experiment. As an example, if we are testing 50 samples of folks that watch tv in a town, then the sample length is 50.
An awesome sample length is normally 10% as long because it no longer exceeds a thousand. A very good sample length is commonly around 10% of the populace, as long as this doesn't exceed one thousand. for example, in a populace of 5000, 10% could be 500. In a populace of 200,000, 10% would be 20,000.
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Noah has just purchased a previously owned home. he put $5,000 towards a down payment and took out a $65,000 mortgage. noah knows that his older home will need maintenance right away and wants to budget enough for this coming year for unexpected expenses. when estimating costs for home repair and maintenance, a good estimate is to budget 1% of the purchase price of a house. what would be a good yearly estimate of repairs and maintenance for noah’s home? a. $1550 b. $700 c. $650 d. $150
jackie brought 9 plants
Answer:
t+s = 9
4t+9s=51
tulips and succulents combined is 9 plants
the amount of money they have combined is $51
You rotate triangle ABC, with vertices A(-3, 1), B(-2, 2), and C(-3, 4), 90° counterclockwise about the origin to form triangle A′B′C′. Match each vertex of triangle A′B′C′ to its coordinates.
Answer:
The coordinates of A' are (-1,-3) , B' are (-2,-2) , C' are (-4,-3).
Step-by-step explanation:
Consider a political discussion group of 8 democrats, 8 republicans and 6 independent suppose the teo groups meme bet are randomly selected in succession to attend a policial convection find the probability of selecting two demo
Answer:
The probability of selecting two democrats is 1/380
Step-by-step explanation:
Probability is the branch of mathematics that deals with numerical descriptions of how likely an event is to occur.Probability of an event = Number of favourable outcomes / Total number of outcomes.Here we are given the people as,
8 democrats, 8 republicans and 6 independent.
So total number of people are: 8+6+6=20
Probability of choosing first democrat = 1/20
Probability of choosing first democrat = 1/19
Thus P( two democrats in succession ) = 1/20 ×1/19
= 1/380
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What is the equation of the blue line?
Answer:
y = - 3x - 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (0, - 1)
m = [tex]\frac{-1-2}{0-(-1)}[/tex] = [tex]\frac{-3}{0+1}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3
the line crosses the y- axis at (0, - 1 ) ⇒ c = - 1
y = - 3x - 1 ← equation of line
2 Pretest: Unit 5
Question 19 of 27
Find the value of x that makes ABCD a parallelogram.
x+60°
70°
O A. x= 10°
OB. x= 30°
OC. X= 40°
OD. x = 50°
A
70°
x+60°
B
The value of x will be 50°. Then the correct option is D.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.
Then the sum of the adjacent angle of the parallelogram is 180 degrees.
Then the value of x that makes ABCD a parallelogram will be
The one angle is x+60°.
Then the another angle will be 70°.
Then we have
x + 60° + 70° = 180°
x + 130° = 180°
x = 50°
Then the correct option is D.
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To solve the equation ‐2x + 5 = 9 for x, what operations must be performed on both sides of the equation in order to isolate the variable x?
Answer:
b.) Subtracting 5 then dividing both sides by -2
Step-by-step explanation:
Given expression:
⇒ -2x + 5 = 9
To solve this equation, first we need to remove the 5 on the left side. Then divide both sides by -2.
When done so:
⇒ -2x = 9 - 5
⇒ -2x = 4
⇒ -2x/-2 = 4/-2
⇒ x = -2
Which of the following is equivalent to the
complex number ;³¹?
Choose 1 answer:
A
B
C
D
1
i
-1
-i
Step-by-step explanation:
[tex] = {i}^{31} [/tex]
[tex] = {i}^{28} \times {i}^{3} [/tex]
[tex] = {( {i}^{4} )}^{7} \times ( {i}^{2} \times i)[/tex]
[tex] = ( {i}^{2} \times {i}^{2} ) {}^{7} \times {i}^{2} \times i[/tex]
[tex] = ( - 1 \times ( - 1)) {}^{7} \times ( - 1) \times i[/tex]
[tex] = {1}^{7} \times ( - i)[/tex]
[tex] = 1 \times ( - i)[/tex]
[tex] = - i[/tex]
The answer is D.
In a 19 sided polygon what is the sum of the exterior angles ??
Answer:
the sum of all exterior angle is 360 degree
1.) tel ephone number (type of data
The telephone number datatype is text or string
How to determine the datatype?The term is given as:
telephone number
A telephone number contains the following
DigitsBrackets (Optional)Hyphen (Optional)The optional parts of a phone number makes it difficult to use the numeric datatype for a phone number.
So, we make use of text or string datatype
Also, the phone number cannot be used in calculations.
Hence, the telephone number datatype is text or string
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Complete QuestionThe telephone number is what type of data
What is the length of BC? (Giving 50 points)
Answer: Hope this helps you I guess.
2
Answer:
2 is the length of BC
Step-by-step explanation:
If we will look at this line, we can determine that unit interval is 1, so we subtract B from C, which is 2, and that's the answer
Select the statement below that correctly describes the relationship between the number of workers and the hours that they work.
Less workers = more hours
OR the answer might be worded as
More workers = less hours
Evaluate.
{3−[−4−(6+2)]}⋅(−5)
A−75
B−57
C−15
D−9
Step-by-step explanation:
please mark me as brainlest
Given the expression 3(4²) + 4 + 16-9, which operation would you perform first?
A. 3x4
B. 4²
C. 4+ 16
D.
16-9
Answer: 4²
Step-by-step explanation:
There is some rule but just remember:
1. parenthesis
2. exponents
3. division/multiplication
4. subtraction/addition
Question 3
What is the value of x in the regular polygon at the right?
H
Question 4
3x°
1 pts
1 pts
Answer:
X = 20°given a regular polygon which means that it's all sides are equal and all angles are equal
one angel of a polygon is 3x
the sum of all the angles of a polygon = 360°
3x + 3x + 3x + 3x + 3x + 3x = 360°
18x = 360°
x = 20°
Im in math 2 and I just need help with this to pass please
Answer:
.7 I your answer to your question hope it's help
Answer:
[tex]\frac{7}{10}[/tex]
Step-by-step explanation:
35/50 --> [tex]\frac{7}{10}[/tex]
divide 35 by 5 = 7
divide 50 by 5 = 10
Which is equivalent to
64 ^1/4?
O 24/4
O4
O 16
O 16/4
Answer: [tex]\sqrt[4]{64}[/tex]
Step-by-step explanation:
[tex]64^{\frac{1}{4} }= \sqrt[4]{64}[/tex]
The height of a tank is 3 meter and volume is 12 million centimeters. find the area of the square base of the tank in square meters
Answer:
75
Step-by-step explanation:
What are the endpoint coordinates for the midsegment of △BCD that is parallel to BC¯¯¯¯¯?
Enter your answer, as a decimal or whole number, in the boxes.
( , ) and ( , )
Answer:
(3,3) (-1,-3), you just have to look at the coordinates
Given a=b+c2d solve for c
Step-by-step explanation:
rewrite the equation as follows
c2d = a - b
divide both sides by 2d
c = (a - b)/2d
For what value of x is line m parallel to line n?
Answer:
[tex]x=10[/tex]
Step-by-step explanation:
Here, we can use an angle rule.
We see that angles [tex](8x+50)[/tex]° and 130° are under a sort of F shape, where lines m and n are the horizontal parts of the letter and where the diagonal line is the vertical part of the letter.
This means we can use the rule:
Corresponding angles are equal.
This means that:
[tex]8x + 50 = 130[/tex]
We can now use this equation we have formed to solve for [tex]x[/tex]:
[tex]8x + 50 = 130\\8x = 80\\x = 10[/tex]
Therefore, our final answer is [tex]x=10[/tex].
Find the inverse of the radical function.
Enter the correct answer in the box.
The inverse of the given function is y = x³ + 2
Finding inverse of a radical functionGiven the radical function below expressed as;
f(x) = ∛x-2
This can be written as;
y = ∛x-2
Replace y with x
x = ∛y-2
Take the cube of both sides
x³ =y - 2
y = x³ + 2
Hence the inverse of the given function is y = x³ + 2
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Answer:
[tex]f^{-1} (x)=x^{3} +2[/tex]
Step-by-step explanation:
from plato
Consider the function given below. f(x)=x Plot the x- and y- intercepts of the function.
choose the graph of the linear equation 30x+75y=300
Answer:
there ya go :)
In a right triangle, the larger pointed angle is four times larger than the smaller pointed angle.
What are your angles?
Answer:
The angles are 18° and 72°
Step-by-step explanation:
Finding the unknown angle
Let the smaller angle = x
The larger angle = 4*x = 4x
x + 4x = 90
5x = 90
x = 90 ÷ 5
x = 18
Smaller angle = 18°
Larger angle = 4*18 = 72°
can someone please help me
Answer:
-6, 14, -26, 10x -4, -8x + -2x - 6
Step-by-step explanation:
So F(x) is setting that the values before the lines are equal to x and should be applied to the problem. Dont forget PEMDAS with these tho, they'll try to trick u like that.
So for the first one, f(0) you plug 0 where the x's are.
1.) 8(0)^2 +2(0) -6
0 + 0 - 6 = -6
2.) 8(2) +2(2) - 6
16+ 4-6= 20 - 6= 14
3.) 8(-2) + 2(-2) -6
-16 + -4 -6 = -26
On the ones where they leave the x there, you just have to leave the x. But don't forget distribution tho.
4.) 8(x+1) +2(x+1) -6
8x +8 + 2x + 2 -6
10x +10 -6 = 10x -4
5.) 8(-x) + 2(-x) -6
-8x + -2x -6
Step-by-step explanation:
the given function is f(x) = 8x² + 2x -6
f(0) = 8(0)² + 2(0) -6 = -6
f(2) = 8 (2)² + 2 (2) - 6 = 30
f(-2) = 8 (-2)² + 2 (-2) - 6 = 22
f (x+1) = 8(x+1)² + 2 (x+1) -6
= 8(x² +2x +1 ) + 2x -4
8x² + 16x +8 +2x -4 = 8x² + 18x + 4
f(-x) = 8(-x)² + 2 (-x) - 6
= 8x² -2x -6
Which numbers are irrational? Select all that apply.
9/15
О 18
О 9
о 169
√78
О п
Answer:
⇒ π and √ 78
Rational number:
A number that can be expressed exactly by a ratio of two integers. Integer is usually defined as one of the positive or negative numbers 1, 2, 3, etc., or zero. An example of a rational number is a repeating decimal. A repeating decimal is a decimal numeral that, after a certain point, consists of a group of one or more digits repeated as infimum, as 2.33333.... or 23.0218181818...
Irrational number:
A number that cannot be exactly expressed as a ratio of two integers. An example is a infinite decimal which is a nonterminating decimal, a decimal numeral that does not end in an infinite sequence of zeros (contrasted with terminating decimal). Example: 2.3459810212901....
_________________________
Rational numbers.
The number 9/15 is equal to 0.6 which is a terminating decimal and is therefore, rational.
18 is a whole number and integer making it rational.
9 is a integer and a whole number = rational.
169 is a integer and whole number = rational.
_____________________________________
Irrational numbers.
√78 ≈ 8.831760866
This decimal is a nonterminating decimal that does not terminate nor repeat making it irrational.
Now onto Pi/π which is the 16th letter of the Greek alphabet and is a known-irrational number. The ratio itself: 3.141592+. The letter is used as the symbol for the ratio of the circumference of a circle to its diameter.
So, why is PI irrational?It relates to how pi is computed. Pi is equal to the circumference of a circle, which may be calculated by placing an n-gon within a circle. However, when the sides of the n-gon are raised, the value of pi varies every time you divide it by the diameter of the circle, therefore it is impossible to get the exact value of pi. Additionally, irrational numbers never finish or repeat their decimal expansion, therefore they cannot be tallied as 2, 3, and so on.
_____________________________________
Therefore, the number that are irrational is π and √78.