Answer: 7x-90/x-13
Step-by-step explanation:
f(x)= x+7
g(x)=1/x-13
(f•g)(x)=1/x+13+7
1+7(x-13)/x-13
1+7x-91/x-13
7x-90/x-13
Answer:
(-∞, 0)∪(0, ∞)
Step-by-step explanation:
You are given the functions f(x) and g(x). Now, you have to find (f*g)(x). To do this, you have to multiply the two functions.
f(x) = x + 7
g(x) = 1/x - 13
(f*g)(x) = (x + 7)(1/x - 13)
(f*g)(x) = -13x + 7/x + 1 - 91
(f*g)(x) = -13x + 7/x - 90
The domain has to include all of the x-values that will produce a rational number. So, look at where the x's are locate
-13x: You could put any rational number into this value and still have a rational number.
7/x: For this value, you cannot have 0 as an x-value. Every other number is fine.
This means that the domain will be (-∞, 0)∪(0, ∞).
You use parentheses and not brackets for the zero side because you don't want to include zero in the domain, but you do want to include all of the other numbers around zero. There are no brackets on the infinity side because infinity isn't a number. The ∪ symbol is used to combine domains.
Given Event A, Event B, and Event C. Event A and Event B are mutually exclusive. Event A and Event C are not mutually exclusive.
P(A) = 0.45
P(B) = 0.35
P(C) = 0.25
What is the probability of the complement of Event A?
A) 1.00
B) 0.55
C) 0.10
D) 0.45
Answer:
B) 0.55
The probability of the complement of Event A ( P( A⁻ )) = 0.55
Step-by-step explanation:
Explanation:-
Given Event A and Event B are mutually exclusive.
Given data P(A) = 0.45
P(B) = 0.35
P(C) = 0.25
The probability of the complement of Event A
P( A⁻ ) = 1 - P( A)
= 1 - 0.45
= 0.55
Final answer:-
The probability of the complement of Event A = 0.55
The probability of the complement of Event A is equal to 0.55
The probability of the complement of Event A ( P( A⁻ )) = 0.55
Given Event A and Event B are mutually exclusive.
We have given data P(A) = 0.45
P(B) = 0.35
P(C) = 0.25
The probability of the complement of Event A.
What is the formula for the compliment of the event?P( A⁻ ) = 1 - P( A)
Use the given value in the above formula we have,
= 1 - 0.45
= 0.55
The probability of the complement of Event A is equal to 0.55.
To learn more about the probability visit:
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Calvin is using a 10 foot ladder to paint his house. If he leans the ladder against the
house so that it makes a 71° angle with the ground, how far up the house does the
ladder reach? Round to two decimal places.
Answer:
9.46 ft
Step-by-step explanation:
Law of sines
10/sin(90)=x/sin(71)
x=(sin(71)*10)/sin(90)
x=9.46
the circumference of a circle is 125.6m find its radius
Step-by-step explanation:
we have,
Circumference of Circle (C) = 2πr
or, 125.6 = 2πr
or, r = 125.6/2π
Ans: r = 19.9898 ~ 20 m
Find a solution for the equation y = 4x - 3.
Answer:
y=1
Step-by-step explanation
the x is like a imaginary 1 so 4*x=4-3=1
which two of the following is continuous data?
Answer:
B. Age of student
D. Time taken to run 1 mile
Step-by-step explanation:
From the list of given options, only B and D satisfy the required condition.
One unique determinant of continuous data is that; they are measured and not counted.
Now, let's categorize option A to D into two
1. Counted data
2. Measured data
Options that fall into the category of measured data are said to be continuous data.
A. Concert attendance; The number of people in a concert is counted
B. The age of a student is measured (in years)
C. Number of pens in a box is counted
D. Time taken to run 1 mile is measured (in units like seconds, minutes, hours, etc...)
In summary; we have
Counted
A. Concert Attendance
C. Number of pens in a box
Measured
B. Age of a student
D. Time taken to run 1 mile
Hence, the continuous data are Age of a student and Time taken to run 1 mile
The formulae for kinetic energy is E =-mv2.
Find the value of E when m= 900 and v=1.3,
Answer: ΔKE = 760.5 Joules
Step-by-step explanation:
Isnt the formula for ΔKE = 0.5m*v^2???
Im not going to use that formula you gave me, its wrong.
900/2 = 450
1.3^2 = 1.69
450 x 1.69 = 760.5 Jules
This is also the wrong subject btw
Can someone please help me :(
Answer:
Step-by-step explanation:
ok its AAS because if you see the most aperent thing on the trangle is that
Answer:
AAS
Step-by-step explanation:
The two triangles are congruent because they have two equal angles and one side
could someone please help with these three? I got a few minutes left and I'm clueless IM IN NEED OF HELP!!
Answer:
Student 1 has the correct answer
Student 2 started of OK but then divides the number of white marbles by the number of non-white marbles, which is incorrect.
Student 3 reports a probability larger than 1 which is impossible. Also the answer is not in percentages.
salim had 24 homework problems he completed 12 problems during lunch then he completed 7 more after school
Answer:
So how many he has left to do???
I think Salim has to finish 5 more problems
Step-by-step explanation:
Zoe mows lawns in the summer to earn extra money. She usually charges $15 per week, but she offers a special rate of $59.50 if a customer prepays for 5 weeks. How much does a customer pay for each week with the special rate? (Please enter your answer without units.) *
Answer:$11.90 each week for 5 weeks
Step-by-step explanation:
$59.50/5 = $11.90
Please help me with this and explain
Answer:
4.104
Step-by-step explanation:
Volume of any prism = Area of cross section x height.
so, volume = 0.6 x 1.9 x 3.6 = 4.104
Distance, Midpoint, Circles - What is the equation of the circle? WILL GIVE BRAINLIEST!
Answer:
(x-4)^2 + (y-3)^2 =8
Step-by-step explanation:
The midpoint of the diameter is (6+2)/2= 4, (5+1)/2 = 3
(4,3)
The radius is the distance from the midpoint to an endpoint
This is 2sqrt(8)
So the equation is
(x-4)^2 + (y-3)^2 =8
What whole number does: 20/5represent?
Answer:
4
Step-by-step explanation:
20/5 = 4
Answer:
4
Step-by-step explanation:
cause 20/5 is 4 meaning it represents 4
What is the best approximate of the square root of 50
Answer:7
Step-by-step explanation:
7^2 = 49 (or square root of 49 is 7)
8^2 = 64 (or square root of 64 is 8)
The cost to.Purchase a tank.Of gasoline varies directly with the.Number of gallons purchased. You notice that the person in front of you spent $40.50 on 15 gals of gas. If your truck needs 26 gals of gas how much will you spend
Answer:
$70.20
Step-by-step explanation:
We need to first find the cost per gallon of the gas.
The person in front bought 15 gals at $40.50. The price of each gallon will therefore be:
40.50 / 15 = $2.70
You need to buy 26 gallons. The cost will be:
26 * 2.70 = $70.20
You will spend $70.20.
1. A system of equations is shown below. Find the solution by using substitution.
y = 3x - 2
y = x + 2
Answer:
x = 2
y = 4
or (2 , 4)
Step-by-step explanation:
Since both equations are equal to y we can substitute one of the equations to fill in the spot of y so that both equations are equal to each other with no y variable.
[tex]3x-2 = x+2\\[/tex]
Now we can solve x.
[tex]3x= x+4\\[/tex]
[tex]2x = 4\\[/tex]
x = 2
Now that we have solved for one variable we can plug this back into either equation and solve for y.
[tex]y = 2 + 2\\[/tex]
y = 4
Please Help ASAP!
Select the situations that represent a function. (A,B,C,D)
Answer:
A and B both have an input that has multiple outputs so the answer is C and D.
Use the quadratic formula to find both solutions to the quadratic equation given below
Answer:
C and D are correct: -1 and 0.5
Step-by-step explanation:
Which best describes the dimensions of a line?
1 . A line has zero dimensions because it represents a
2. A line has one dimension because it is made up of a
3. A line has two dimensions because it is made up of
4. A line has multiple dimensions depending on how ma
Answer: A line has one dimension because it is made up of a figure with no thiknes that extends infinitely in both directions.
Step-by-step explanation:
A line is a one-dimensional figure, it has no thickness.
For reference, point is zero dimesional, a plane is twodimensional.
Then the correct answer would be:
A line has one dimension because it is made up of a figure with no thiknes that extends infinitely in both directions.
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 118 kilograms. A delivery of 2 large boxes and 12 small boxes has a total weight of 193 kilograms. How much does each type of box weigh?
Answer:
Large box = 31/2 = 15.5 kgs
Small box = 27/2 = 13.5 kgs.
Step-by-step explanation:
Let x be large box
Let y be small box
5x + 3y = 118
5x = 118 - 3y
x = 118/5 - 3/5y
2x + 12y = 193
2(118/5 - 3/5y) +12y = 193
y = 27/2 = small box
Large box
5x + 3(27/2)=118
x = 31/2 = large box
The x coordinate of the midpoint is the _____ the x coordinates of the endpoints.
Answer:
average
Step-by-step explanation:
The midpoint is always the average or middle of the line. So here it would be the average of the two x endpoints.
If f(x)= x2 + 7; Find x if f(x)= 23
Answer:
x = 4, -4
Step-by-step explanation:
f(x)= x^2 + 7
f(x) =23
23 = x^2+7
Subtract 7 from each side
23-7 = x^2 +7-7
16 = x^2
Take the square root of each side
±sqrt(16) = sqrt(x^2)
±4 = x
help? Give the equation of the line passing through the points (9/4,4/11) , (9/4, 7) .
Answer:
x = 9/4
Step-by-step explanation:
Since the x coordinates are the same, it is a veritcal line with x = 9/4
11 12 13 14 15 16 17 18 19 20 TIME REMAINING 01:04:38 Jamal uses the steps below to solve the equation 6x – 4 = 8. Step 1: 6x – 4 + 4 = 8 + 4 Step 2: 6x + 0 = 12 Step 3: 6x = 12 Step 4: StartFraction 6 x Over 6 EndFraction = StartFraction 12 Over 6 EndFraction Step 5: 1x = 2 Step 6: x = 2 Which property justifies Step 3 of his work?
Answer:
Identity property of addition
Step-by-step explanation:
Given
Step 3: 6x = 12
Required:
Which property justifies Step 3 of his work
The property that justifies this step is the identity property of addition;
At step 2; the equation was
6x + 0 = 12
When 0 is added to any expression or number, the value of the number or expression remains unchanged.
So, when 0 is added to 6x on the left hand side of the equation, the value remains the same as follows:
So, 6x + 0 = 12 becomes
6x = 12.
This property is referred to as the Identity property of addition
Answer:
Identity property of addition
Step-by-step explanation:
Given
Step 3: 6x = 12
Required:
Which property justifies Step 3 of his work
The property that justifies this step is the identity property of addition;
At step 2; the equation was
6x + 0 = 12
When 0 is added to any expression or number, the value of the number or expression remains unchanged.
So, when 0 is added to 6x on the left hand side of the equation, the value remains the same as follows:
So, 6x + 0 = 12 becomes
6x = 12.
This property is referred to as the Identity property of addition
Volume = 21 pi Find the value of the variable in the figure. Leave answers in the simplest form. a. 1 c. 5 b. 3 d. 7
Answer:
3
Step-by-step explanation:
(volume) 21 * pi = 65.9734457254
height =7
Cone = (1/3)πr²h, where r is the radius and h is the height.
V = Ah/3
John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. How much was the error in his estimate? Error = (Approximate value) − (Exact value) -$175 -$25 $25 $175
Answer:
The error of his estimate was $25.
Step-by-step explanation:
The error of an estimate is given by the estimated value subtracted by the real one. Since John estimated that he would spend $100 and he only spent $75 than the error of his estimate is:
[tex]\text{error} = 100 - 75\\\text{error} = 25[/tex]
The error of his estimate was $25.
Answer:
C
Step-by-step explanation:
i got itright
Calculate the following combinations
Answer:
[tex]_3 C_2 =\frac{3}{2}[/tex]
[tex]_3 C_3[/tex] Is undefinded.
Step-by-step explanation:
Given the equations.
[tex]_3 C_2=\frac{3}{(3-2)2}[/tex]
[tex]_3 C_3 =\frac{3}{(3-3)3}[/tex]
Distribute the denominator.
[tex]_3 C_2 =\frac{3}{(6-4)}[/tex]
[tex]_3C_2 = \frac{3}{(9-9)}[/tex]
Simplify the denominator.
[tex]_3 C_2 = \frac{3}{2}[/tex]
[tex]_3 C _3 = \frac{3}{0}[/tex] this is undefined because you're not able to divide by 0.
Answer:
part 1: 3 & 1
part 2: 6
Step-by-step explanation:
edge fam sticks together lol
Solve the two-step equation. 3 4 (x) − 1.72 = −6.82 1. The first step is to on both sides. 2. The second step is to on both sides. The solution is x = .
Answer:
1. The first step is to add 1.72 on both sides.
2. The second step is to multiply by 4/3 on both sides.
3. The solution is x = -6.8
Step-by-step explanation:
EDGE 2020
The value of x in the the two-step equation is -6.80.
What is the value of x in the equation?In order to determine the value of x, take the following steps:
The first step is to combine similar terms together:
3/4x = -6.821 + 1.72
Add similar terms
3/4x = -5.101
Divide both sides of the equation by 4/3
x = -6.80
To learn more about division, please check: https://brainly.com/question/13281206
What are the x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J
Answer:
[tex]\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )[/tex]
Step-by-step explanation:
Given: P is Three-fifths the length of the line segment from K to J
To find: x- and y-coordinates of point P on the directed line segment from K to J
Solution:
Section formula:
Let point K and J be [tex](x_1,y_1)\,,\,(x_2,y_2)[/tex] such that the point [tex]p(x,y)[/tex] divides KJ in ratio [tex]m:n[/tex]
Then coordinates of point P are given by [tex]\left ( \frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n} \right )[/tex]
Take [tex]m:n=3:5[/tex]
So,
coordinates of point P = [tex]\left ( \frac{3x_2+5x_1}{3+5},\frac{3y_2+5y_1}{3+5} \right )=\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )[/tex]
Answer:
The answer is (40,96), hope it helps :)
Solving for an Unknown Using the Distributive Pro
180(n - 2)/n
when the equation is solved for n, n is equal to a fraction with a denominator
help
Answer:
180(n - 2)/n=m
mn= 180(n-2)
180n-mn= 360
n*(180-m)=360
n=360/(180-m)