Answers:
A) 1D) 0E) 0.02F) 0.26If x is a probability value, then [tex]0 \le x \le 1[/tex]
A probability of 0 means "impossible" while a probability of 1 means "100% certain".
Choose the equation below that represents the line passing through the point (2, -5) with a slope of -3.
y = -3% - 13
Oy=-3x + 13
Oy=-3x + 1
Oy=-3x + 11
Answer:
D
Step-by-step explanation:
Slope
All answers agree that the slope = - 3
y intercept
So far what you know is that the line is
y = -3x + b
The point shows that
5 = -3*2 + b Combine right
5 = -6 + b Add 6 to both sides
5 + 6 = -6+6 + b Combine
11 = b
So the y intercept = 11
Answer: y = -3x + 11 D
Is the function even, odd, or neither?
You may be asked to "determine algebraically" whether a function is even or odd. To do this, you take the function and plug –x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (–x) = f (x), so all of the signs are the same), then the function is even. If you end up with the exact opposite of what you started with (that is, if f (–x) = –f (x), so all of the signs are switched), then the function is odd.
In all other cases, the function is "neither even nor odd".
Let's see what this looks like in action:
Determine algebraically whether f (x) = –3x2 + 4 is even, odd, or neither.
If I graph this, I will see that this is "symmetric about the y-axis"; in other words, whatever the graph is doing on one side of the y-axis is mirrored on the other side:
graph of y = –3x^2 + 4
This mirroring about the y-axis is a hallmark of even functions.
Also, I note that the exponents on all of the terms are even — the exponent on the constant term being zero: 4x0 = 4 × 1 = 4. These are helpful clues that strongly suggest to me that I've got an even function here.
But the question asks me to make the determination algebraically, which means that I need to do the algebra.
So I'll plug –x in for x, and simplify:
f (–x) = –3(–x)2 + 4
= –3(x2) + 4
= –3x2 + 4
I can see, by comparing the original function with my final result above, that I've got a match, which means that:
f (x) is even
The price of a floor tile is $3 per square foot, and the cost of shipping is $20. You are adjusting the size of your bathroom according to the space availability. You would like to estimate the rate of change of cost for flooring that you expect when you change the size of the square bathroom of current length 10 feet. Assume xx to be the length of a square shaped bathroom. Include units in all parts. a. Calculate the average rate of change of cost when you change your bathroom from 10 feet to 12 feet long. b. Calculate the instantaneous rate of change of cost at length 10 feet. c. If the cost of shipping also depends on the length according to \$20(1 \sin{x})$20(1 sinx), what is the instantaneous change of cost at length 10 feet.
Answer:
a
[tex]A = \$66 \foot [/tex]
b
tex]C(10)' = \$60 / feet[/tex]
c
[tex]C(10)' = \$79.696 \ feet [/tex]
Step-by-step explanation:
From the question we are told that
The price per square foot of a floor tile is [tex]p = \$ 3[/tex]
The cost of shipping is [tex]s = \$ 20[/tex]
The current length of the square bathroom is x = 10 ft
The new length is [tex]x_ 1 = 12 \ ft[/tex]
Generally the equation representing the cost of the square tile is mathematically represented as
[tex]C(x) = 3x^2 + 20[/tex]
Generally the average rate of change of cost is mathematically represented as
[tex]A = \frac{ cost \ for\ a \ 12 feet \ bathroom - cost \ for\ a \ 10 feet \ bathroom }{12 feet - 10 feet}[/tex]
Generally the cost for flooring a 12 feet square bathroom is mathematically represented as
[tex]C(12) = 3(12)^2 + 20[/tex]
=> [tex]C(12) = \$ 452 [/tex]
Generally the cost for flooring a 10 feet square bathroom is mathematically represented as
[tex]C(10) = 3(10)^2 + 20[/tex]
=> [tex]C(10) = \$320[/tex]
So
[tex]A = \frac{ 452- 320 }{12 feet - 10 feet}[/tex]
=> [tex]A = \$66 \foot [/tex]
Generally the instantaneous rate of change of cost is obtained by the differentiating the cost function as follows
[tex]C(x) = 3x^2 + 20[/tex]
[tex]C(x)' = \frac{dC(x)}{dx} = 6x[/tex]
So the instantaneous rate of change of cost at length 10 feet is mathematically represented as
[tex]C(10)' = 6(10)[/tex]
=> [tex]C(10)' = \$60 / feet[/tex]
Generally given that the new cost function is
[tex]C(x) = 20(1 + sinx) + 3x^2[/tex]
Now the instantaneous rate of change of cost will now be
[tex]C(x)' = 20cos(x) + 6x[/tex]
So the instantaneous rate of change of cost at length 10 feet is mathematically represented as
[tex]C(10)' = 20cos(10) + 6* 10 [/tex]
=> [tex]C(10)' = \$79.696 \ feet [/tex]
what is Arithmetic Series
Answer:
I am pretty sure it is when you have a sequence of numbers that you are subtracting or adding from by the same constant over and over
Step-by-step explanation:
an=a1+(n-1)d
d=common difference
an= the nth term in the sequence
a1 first term in the sequence. (Usually you can plug in 1, as the n, and work from there)
a scuba diver 9 1/2 feet below sea level viewing some tropical fish. she descends [swims downward] 10 1/2 feet to get closer look at a manta ray swimming on the sea bottom.
Answer:
Step-by-step explanation:
Answer:
it that going to come on cxc
A rectangular table is four times as long as it is wide. If the area is 36 ft2, find the length and the width of the table.
Answer:
The width is 3 ft
The length is 12 ft
Step-by-step explanation:
Let w = width
l = 4w
A = l*w
Replace length with 4w
A = 4w*w
36 = 4 w^2
Divide each side by 4
36/4 = 4w^2/4
9 = w^2
Take the square root of each side
sqrt(9) = sqrt(w)
3 =w
The width is 3 ft
The length is 4*3 = 12 ft
Let g be the piecewise defined function shown.
g(x)=
x + 4, −5 ≤ x ≤ −1
2 − x, −1 < x ≤ 5
Evaluate g at different values in its domain.
g(−4) =
g(−2) =
g(0) =
g(3) =
g(4) =
Answer:
Yup 0,2,2,-1,-2
Step-by-step explanation:
Edg 2020
The value of g(-4) for the given function g(x)=x+4 is 0.
What are piecewise functions?Piecewise functions are functions that have multiple pieces, or sections. They are defined piece by piece, with various functions defining each interval. Piecewise functions can be split into as many pieces as necessary. Each piece behaves differently based on the input function for that interval. Pieces may be single points, lines, or curves.
For −5 ≤ x ≤ −1
Lets take all range of values of x
g(-5) = x + 4 = -5 + 4 = -1
g(-4) = x + 4 = -4 + 4 = 0
g(-3) = x + 4 = -3 + 4 = 1
g(-2) = x + 4 = -2 + 4 = 2
g(-1) = x + 4 = -1 + 4 = 3
For −1 < x ≤ 5
Lets take all range of values of x
g(0) = 2 - x = 2 - 0 = 2
g(1) = 2 - x= 2 - 1 = 1
g(2) = 2 - x= 2 - 2 = 0
g(3) = 2 - x= 2 - 3 = -1
g(4) = 2 - x= 2 - 4 = -2
g(5) = 2 - x= 2 - 5 = -3
Therefore, the value of g(-4) for the given function g(x)=x+4 is 0.
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pls help! thank you:) I will make brainleist
Answer:
4x+1 = 3x-2
Step-by-step explanation:
4x+1=3x-2 subtract 3x and 1 from both sides
x= -3
explain how polygon A is congruent to polygon B
Answer:
polygon B is just polygon B flipped to the side
Step-by-step explanation:
polygon B is just polygon B flipped to the side
What is 3/4 divided by 9?
Answer:
1/12 or 0.0833333333333
Step-by-step explanation:
What is the median for the set of data?
A. 70
B. 71
C. 72
D. 74
Answer:
Median = 72
Step-by-step explanation:
Help! I’ll mark you brsinly
please help. im really struggling,
Answer:
3/10 =a
Step-by-step explanation:
X*1/5×3/2 =X*a
X*3/10 =X*a
base are same so
3/10 =a
SOMEONE PLEASE HELP ME... GOD WILL BLESS U...
Kavitha is 9 years younger than Lizzy. 8 years ago, Lizzy was 2 times as old as Kavitha reduced by 1. How old are they now?
Answer: Kavitha is 18 and Lizzy is 27
Step-by-step explanation: 8 years ago, Kavitha was 10 and Lizzy was 19.
10 × 2 = 20
20 - 1 = 19
Kavitha is 9 years younger than Lizzy because 27 - 9 = 18
9514 1404 393
Answer:
Kavitha is 19 and Lizzy is 28
Step-by-step explanation:
Let k and l represent the current ages of Kavitha and Lizzy.
k = l -9 . . . . . Kavitha is 9 years younger
l -8 = 2(k -8 -1) . . . . 8 years ago, Lizzy was 2 times as old as Kavitha was 9 years ago
l -8 = 2(l -9 -9) . . . . substitute for k
l -8 = 2l -36 . . . . . . eliminate parentheses
28 = l . . . . . . . . . . . add 36 - l
k = 28 -9 = 19
Kavitha is 19; Lizzy is 28.
(18 - ab) + 4b (if a = -2 and b = -5)
Answer:
-12
Step-by-step explanation:
if a=-2 and b=-5
(18-(-2×-5))+4(-5)
(18-(10))-20
8-20
-12
just gotta plug in the given into the equation
Answer:
person above me is correct
Step-by-step explanation
What is the slope-intercept form of the equation of the line that passes through the point (–6, 1) and is perpendicular to the graph of 2x + 3y = –5?
what is the answer of this 100 x 20 =
Answer:
2,000
Step-by-step explanation:
An easy way of solving problems like these is to count the number of zeros in the equation, temporarily remove them, solve the new problem, and then add all the zeros that you removed before. In this case:
100 x 20 = ?
1 x 2 = ? | 000
2 | 000
2,000
Here's another example:
300 x 5000 = ?
300 x 5000 = ?
3 x 5 = ? | 00000
15 | 00000
1,500,000
Emily earns extra spending money by babysitting children in her neighborhood. On Tuesday, she earned $16 for baby sitting for 2 hours. On Saturday, she earned $40 for baby sitting for 5 hours. let x represents the number of hours and y represents the amount earned. What is the rate of change? *
1 point
A. 24/7
B. 8/1
C. 38/11
D. 7/2
Answer:
2000
Step-by-step explanation:
2000+40+16*2
2000
What is the square root of -1
Answer:
The square root of ( -1 ) is i
Answer:
the square root of -1 is i
Have a nice day! :D
Step-by-step explanation:
Determine whether the relation (1,−2), (2,1), (3,6), (4,13), (5,22) is a function. Explain.
Answer:
Since there is one value of y for every value of x in ( 1,−2) ,( 2,1),(3,6), (4,13 ) ,(5 ,22 ) , this relation is a function.
The relation is a function.
A relation is a function if it has only one y-value for each x-value. The relation (1,−2), (2,1), (3,6), (4,13), (5,22) is a function.
What is a function?A relation is a function if it has only one y-value for each x-value.
The given relation is one comma minus two
two comma one
three comma six
four comma thirteen
five comma twenty two.
(1,−2), (2,1), (3,6), (4,13), (5,22)
In the ordered pairs (x, y) , there should not have same y value.
As we observe there are only one y values for x value.
Every domain element is have unique codomain element.
Hence the relation (1,−2), (2,1), (3,6), (4,13), (5,22) is a function.
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During the years 1992 through 1996, the average number of
green
grapes, g, sold at a farmer's market can be modeled by
g=-0.1312 + 1.12t + 54.33.
The average number of red grapes, r, sold by the farmer's market can
be modeled by
r=0.00772
0.6787+77.18. Determine the model representing the total
number of grapes, n, sold from 1992 through 1996.
Answer:
133.18522
Step-by-step explanation:
g=55.3188
r=77.86642
77.86642+55.3188
133.18522
(5.6x10^4)x(1.3x10^8)
Answer:
(5.6x10^4)x(1.3x10^8) = 7.28 x 10^12
Answer: =7.28x100010001
Step-by-step explanation: 5.6x104x(1.3x108)
Simplifies to:
7.28x100010001
If y = −2 when x = 1, find x when y = 4
Answer:
if y=4 then x=7
Step-by-step explanation:
y=2 when x = 1
that what l think
What is 4.345 × 10^5 in standard form?
You may need to erase the comma
To get this answer, move the decimal point to the right 5 spaces to go from 4.345 to 434,500
If the exponent was -5, then you would move five spaces to the left.
In a computer instant messaging survey, respondents were asked to choose the most fun way to flirt,
and it found that P(D) = 0.710, where D is directly in person. If someone is randomly selected, what does
PD) represent, and what is its value?
What does Po represent?
O A. P(D) is the probability of randomly selecting someone who did not participate in the survey.
OB. P(D) is the probability of randomly selecting someone who chooses a direct in-person
encounter as the most fun way to flirt.
OC. P(D) is the probability of randomly selecting someone who does not choose a direct in-person
encounter as the most fun way to flirt.
OD. P(D) is the probability of randomly selecting someone who did not have a preference in
regards to the most fun way to flirt.
PD = (Simplify your answer.)
Answer: C , 0.29
Step-by-step explanation:
P(D) is the probability flirting of directly in person.
represents probability of flirting other than in person.
P(D)=0.710.
= 1 - 0.710.
= 0.29
Hence the value of Upper P left parenthesis Upper D overbar right parenthesis is 0.29.
Find the measure of angle 1.
152
115
mZ1 =
Please help mee:(
Answer:
37°
Step-by-step explanation:
We have been given the diagram of the triangle;
To find the angle I;
We need to apply one of the geometry laws,
The sum of adjacent internal angles of a triangle gives the external angle;
So;
I + 115 = 152
Solve for I;
I = 152 - 115 = 37°
A city has a population of 38802500 people. Estimate this population to the nearest ten million
Answer:
40,000,000 or 40 million
Step-by-step explanation:
I need hhhheeeellllpppp!!!! HURRY PLS will be thanked lol
Answer:
Just saying I LOVE THESE the slope is 3/2
Step-by-step explanation:
Answer:
-4 to -4
Step-by-step explanation:
-------------------------
-4 -4
Solve for x. Show each step of the solution 4.5 ( 8 - x ) + 36 = 102 - 2.5 ( 3x + 24)
Answer:
X=-10
Step-by-step explanation:
Answer:
x = -10
Step-by-step explanation:
4.5(8-x) + 36 = 102 - 2.5(3x+24)
36 - 4.5x + 36 = 102 - 7.5x - 60
72 - 4.5x = 42 - 7.5x
72 + 3x = 42
3x = -30
x = -10
Odd numbers 3 and 19