Answer:
the distance between (-6,4) and (3,-8) is 15 units
given the functions: f(x) = x^2-9 and g(x) = 3 what is (f/g)(x)? A. x-3 B. x-9 C. x+3 D. x+9
Answer:
f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(
g
f
)(x)=
g(x)
f(x)
= \small{\dfrac{3x+2}{4-5x}}=
4−5x
3x+2
My answer is the neat listing of each of my results, clearly labelled as to which is which.
( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8
\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}
What is the solution set for 5(1−p)>−3p−5?
3p-1=5(p-1)-2(7-2p)
Simplifying
3p + -1 = 5(p + -1) + -2(7 + -2p)
Reorder the terms:
-1 + 3p = 5(p + -1) + -2(7 + -2p)
Reorder the terms:
-1 + 3p = 5(-1 + p) + -2(7 + -2p)
-1 + 3p = (-1 * 5 + p * 5) + -2(7 + -2p)
-1 + 3p = (-5 + 5p) + -2(7 + -2p)
-1 + 3p = -5 + 5p + (7 * -2 + -2p * -2)
-1 + 3p = -5 + 5p + (-14 + 4p)
Reorder the terms:
-1 + 3p = -5 + -14 + 5p + 4p
Combine like terms: -5 + -14 = -19
-1 + 3p = -19 + 5p + 4p
Combine like terms: 5p + 4p = 9p
-1 + 3p = -19 + 9p
Solving
-1 + 3p = -19 + 9p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-9p' to each side of the equation.
-1 + 3p + -9p = -19 + 9p + -9p
Combine like terms: 3p + -9p = -6p
-1 + -6p = -19 + 9p + -9p
Combine like terms: 9p + -9p = 0
-1 + -6p = -19 + 0
-1 + -6p = -19
Add '1' to each side of the equation.
-1 + 1 + -6p = -19 + 1
Combine like terms: -1 + 1 = 0
0 + -6p = -19 + 1
-6p = -19 + 1
Combine like terms: -19 + 1 = -18
-6p = -18
Divide each side by '-6'.
p = 3
Simplifying
p = 3
A plane is labeled H. 3 horizontal lines are shown. From top to bottom, line k is above the plane and lines n and w are on the plane. Vertical line m cuts through the horizontal lines and the parallelogram. Point x is at the intersection of lines m and n and indicates that m is at a right angle to line n. Lines n and w are parallel to each other. Which statement is true regarding the parallel and perpendicular lines in the diagram? k Parallel to n and w Perpendicular to m k Parallel to n and n Perpendicular to m w Parallel to n and n Perpendicular to m w Parallel to n and wPerpendicular to m
Answer:
c on edge
Step-by-step explanation:
i just did it
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The correct option is C.
What is a line segment?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. A line segment is a straight line with finite length, and thus, has two endpoints(points on either end).
The diagram for the given condition can be made as shown below. Now, from the image, the following conclusion can be made,
The two lines w and n are parallel to each other.The line m is perpendicular to n, this is because the angle between the two lines is equal to 90°. The two lines k and line n are also parallel to each other.Further, if all the options are observed.
A.) k Parallel to n and w Perpendicular to m
The first half of the given statement is correct but the second half of the equation is completely wrong. Therefore, not the correct option.
B.) k Parallel to n and w Perpendicular to m
The first half of the given statement is correct but the second half of the equation is completely wrong. Therefore, not the correct option.
C.) w Parallel to n and n Perpendicular to m
Since both the parts of the statement are correct, therefore, it can be concluded that the given statement is correct.
D.) w Parallel to n and w Perpendicular to m
The first half of the given statement is correct but the second half of the equation is completely wrong. Therefore, not the correct option.
Learn more about Line Segment:
https://brainly.com/question/25727583
#SPJ2
Solve.
2(7y - 5) = 4
Answer:
y=1
Step-by-step explanation
So basically 2 *7y is 14y and 2*5 equals 10
bring the 10 to the 4 and you have 14y=14
y=1
i feel so stupid right now it makes me mad
how do you describe a correlation
Answer:
Correlation is a statistical technique that is used to measure and describe a relationship between two variables. Usually the two variables are simply observed, not manipulated. The correlation requires two scores from the same individuals. These scores are normally identified as X and Y.
Step-by-step explanation:
what does 5/8 x 30 1/2 = in mixed number form
Answer:
19 1/16
Step-by-step explanation:
Answer:
305/16
Step-by-step explanation:
Simplify the following:
(5 (30 + 1/2))/8
Hint: | Express (5 (30 + 1/2))/8 as a single fraction.
(5 (30 + 1/2))/8 = (5 (30 + 1/2))/8:
(5 (30 + 1/2))/8
Hint: | Put the fractions in 30 + 1/2 over a common denominator.
Put 30 + 1/2 over the common denominator 2. 30 + 1/2 = (2×30)/2 + 1/2:
(5 (2×30)/2 + 1/2)/8
Hint: | Multiply 2 and 30 together.
2×30 = 60:
(5 (60/2 + 1/2))/8
Hint: | Add the fractions over a common denominator to a single fraction.
60/2 + 1/2 = (60 + 1)/2:
(5 (60 + 1)/2)/8
Hint: | Evaluate 60 + 1.
60 + 1 = 61:
(5×61/2)/8
Hint: | Express 5×61/2 as a single fraction.
5×61/2 = (5×61)/2:
((5×61)/2)/8
Hint: | Express ((5×61)/2)/8 as a single fraction.
((5×61)/2)/8 = (5×61)/(2×8):
(5×61)/(2×8)
Hint: | Multiply 2 and 8 together.
2×8 = 16:
(5×61)/16
Hint: | Multiply 5 and 61 together.
5×61 = 305:
Answer: 305/16
(52) + (3+4i) is
O 3 +9i
O 12
O 3ti
O 92 + 3
Answer:
O 3 +9i
Step-by-step explanation:
Can someone help me with this please
===========================================
Explanation:
For now, ignore the variables. Let's just focus on the coefficients 12 and 16.
The GCF of 12 and 16 is 4 because this is the largest factor they have in common.
12 = 4*3
16 = 4*4
You could create a factor tree to get the prime factorization of each number
12 = 2*2*3
16 = 2*2*2*2
Each factor tree has two copies of '2' leading to the GCF 2*2 = 4.
--------
Now let's go back to the variables. The term 12n and 16w^3 do not have any variables in common. So the final answer won't have any variables in it. If both terms had say a 'w' in them, then w would somehow be involved in the GCF. But that's not the case here. So we just stick to 4 as our answer.
--------
Side note: If you had 12n+16w^3 and you wanted to factor, then you would factor out the GCF 4 to get 12n+16w^3 = 4(3n+4w^3). Use the distribution rule to confirm this.
Together Fred and Wilma have saved $345 Wilma has have twice as much money as Fred how much money do they each have define your variables and set up a system of equations with two equations
Answer:
Fred has saved $115 while Wilma had saved $230
Step-by-step explanation:
Let the amount saved by Fred be F while the amount saved by Wilma be W
Together, they have saved $345
Mathematically;
F + W = 345 •••••••(i)
We are also told that Wilma has have twice as much money as Fred;
Hence; W = 2F ••••••••(ii)
To get the amount of money they both have, we need to solve the equations simultaneously
Substitute ii into i
F + 2F = 345
3F = 345
F = 345/3
F = 115
But W = 2F
W = 2 * 115
W = 230
which set of angles shares rayAF as a common side?
Which equation below would be perpendicular to the line x = 5 and goes through the point (2, 6)?
Answer:
this also I do not know plz tell answer is will also practice
Please Help! 7+b=b+7
Answer:
Yes, 7+b=b+7
Step-by-step explanation:
It is correct because the both are the same equation; however, the numbers and variables are just switched around. Therefore, that doesn't change the value of the equation.
Hope this helps!
Answer:all real numbers are solutions
Step-by-step explanation:
Write the fraction 12/28 in the simplest form
Answer: 3/7
Step-by-step explanation:
Answer:
12/28 is 3 /7 is your answer
Order the numbers below from least to greatest √5,3.7,1/2,-4,-9/4
Answer:
-4 , -9/4 , .5 , √5 , 3.7
Step-by-step explanation:
-9/4= -2.25
sqr 5= 2.23
1/2= .5
1936
1937
1944
1945
1946
19
23
30
33
?
Answer:
44?
Step-by-step explanation:
If the salesperson made $2,500,000 in total sales, is their yearly salary $205,000? Yes or No.
List the first 4 terms of the sequence. f(1) = 7, f(n) = f(n-1)+4
Answer:
7, 11, 15, 19
Step-by-step explanation:
Using the recursive rule with f(1) = 7 , then
f(2) = f(1) + 4 = 7 + 4 = 11
f(3) = f(2) + 4 = 11 + 4 = 15
f(4) = f(3) + 4 = 15 + 4 = 19
The first 4 terms are 7, 11, 15, 19
what is 1 1/3 divided by 3/5
Answer:
6.11
Step-by-step explanation:
First divide 11by 3 and 3by 5.And divide the answer of 11by 3 by 3by5
a brunette Hall is preparing to serve a party of 432 guests if each table seats 8 people how many tables are needed
Answer:
54
Step-by-step explanation:
432/8=54
What is the range of the function f(x) = 4x + 3 when the domain is {−3 , 2 , 4}
Hey there! I'm happy to help!
The range of a function is all of the outputs. Let's plug in our inputs and find these outputs.
4(-3)+3
-12+3
-9
4(2)+3
8+3
11
4(4)+3
12+3
15
We order these from least to greatest, giving us a range of {-9,11,15}.
Have a wonderful day! :D
simplify the expression by combining like terms; 5c+3+1-c
Answer:
4c+4
Step-by-step explanation:
5c+3+1-c
-c
4c+3+1
4c+4
Solve for x: 3x−2=8x+8
Answer:
-2 =x
Step-by-step explanation:
3x−2=8x+8
Subtract 3x from each side
3x-3x−2=8x-3x+8
-2 = 5x+8
Subtract 8 from each side
-2-8 = 5x+8-8
-10 = 5x
Divide each side by 5
-10/5 = 5x/5
-2 =x
Answer:
-2
Step-by-step explanation:
Subtract 8x from both sides.
3x−2−8x=8x+8−8x
−5x−2=8
Step 2: Add 2 to both sides.
−5x−2+2=8+2
−5x=10
Step 3: Divide both sides by -5.
−5x
−5
=
10
−5
x=−2
Franklin deposited $75 in a no-interest bank account when he opened it. After that, he deposits $50 per month in the account. Assume he makes no other withdrawals or deposits. The equation below can be used to find m , the number of months it will take him to save a total of $175. 75 + ?m = 175
Answer:
2 months for $175
Step-by-step explanation:
2x5 is 10 so 2x50 = 100 and since 75 was already in the bank when he started doing deposits, it took him 2 month to deposit 100
Answer:
50
Step-by-step explanation:
i got this one wrong 175 isnt correct
Solve for x. Make sure to show all your work.
Answer:
x=18
Step-by-step explanation:
(6x+3)+(3x+15)=180
(6x+3x)+(3+15)=180
9x+18=180
-18 -18
9x=162
162/9
x=18
!!!!PLEASE HELP!!!!! 20 points
The local ice cream parlor bought 100 half gallons of gelato for $2.40 per half gallon and stored it in two freezers . One freezer broke, ruining 14 half gallons. If the remaining gelato is sold for $3.96 per half gallon, how much profit will the parlor make? Remember to include a dollar sign in your answer .
Answer:
The profit is $100.56
Step-by-step explanation:
The total cost for the ice cream was 100 * 2.40 = 240
14 1/2 gallons were ruined so there were 100 -14 = 86 half gallons left
They sold these at 3.96 each
86 * 3.96 =340.56
The profit is the money made minus the cost
340.56-240 = 100.56
The profit is $100.56
Help please!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
4x=2(x+6)
4x=2x+6
2x=6
x=3
which phrase should be inserted on the line to correctly compare the two factions 4/5 + 16/20 a is greater than B cannot be compared C is less than and D is equal to
First, let's reduce our fractions to their simplest forms.
4/5 is already in its simplest form
16/20 = 4/5.
Now that both of por fractions are in their simplest forms, let's compare them.
4/5 is equal to 4/5
D is the correct answer.
Answer: C. is less than
Step-by-step explanation: the person above me is wrong
What is 1 5/6 + 1/2?
A) 14/6
B) 17/12
C) 17/6
D) 25/12
Answer:
A) 14/6
Step-by-step explanation:
1 5/6 = 1 + 5/6 = 6/6 + 5/6 = 11/6
1/2 = 3/6
then:
1 5/6 + 1/2 = 11/6 + 3/6 = 14/6
find the values of x and y respectively A. 40, 80 B. 40,70 C. 110,30
Answer:
B. 40, 70
Step-by-step explanation:
[tex]30 \degree + x\degree + 40 \degree = 110 \degree ..(straight \: line \: \angle 's) \\ x\degree + 70 \degree = 110 \degree \\ x\degree = 110 \degree - 70 \degree \\ \huge \red{ \boxed{ x = 40}} \\ \\ y \degree = (180 - 110) \degree.. (vertical \:\angle 's) \\ y \degree =70 \degree \\ \huge \purple{ \boxed{ y = 70}}[/tex]
The graph of the function B is shown below. Find B(2).
1
-1
2
Answer: 2
Step-by-step explanation:
Answer:
The answer is 2
Step-by-step explanation:
Don't forget to thank and vote