9514 1404 393
Answer:
f(x) = xg(x) = -2x+1f(x) -(-g(x)) = -x+1f(x) +g(x) = -x+1f(x)-(-g(x)) = (f+g)(x) is true for all functions f and g, linear or notStep-by-step explanation:
We can define a couple of linear functions as ...
f(x) = x
g(x) = -2x+1
Then the reflected function -g(x) is ...
-g(x) = -(-2x +1) = 2x -1
And the difference from f(x) is ...
f(x) -(-g(x)) = x -(2x -1) = -x +1 . . . . f(x) -(-g(x))
We want to compare that to the sum of the functions:
f(x) +g(x) = x +(-2x +1) = -x +1 . . . . f(x) +g(x)
The two versions of the function expression have the same value.
These results are a property of addition, so do not depend on the nature of f(x) or g(x). They will hold for every function.
Answer:
f(x) = x
g(x) = -2x+1
f(x) -(-g(x)) = -x+1
f(x) +g(x) = -x+1
f(x)-(-g(x)) = (f+g)(x) is true for all functions f and g, linear or not
Step-by-step explanation:
We can define a couple of linear functions as ...
f(x) = x
g(x) = -2x+1
Then the reflected function -g(x) is ...
-g(x) = -(-2x +1) = 2x -1
And the difference from f(x) is ...
f(x) -(-g(x)) = x -(2x -1) = -x +1 . . . . f(x) -(-g(x))
We want to compare that to the sum of the functions:
f(x) +g(x) = x +(-2x +1) = -x +1 . . . . f(x) +g(x)
The two versions of the function expression have the same value.
These results are a property of addition, so do not depend on the nature of f(x) or g(x). They will hold for every function.
graph for y=2/3x-4
Y intercept at -4 and it will be increasing from left to right because it has a positive slope.
Answer:
2/3x-4
Step-by-step explanation:
I’m dumb too
Solve the equation 4(x – 2) = 3x + 1. Question 15 options: A) 3 B) 8 C) 9 D) 2
Answer:
x = 9
Step-by-step explanation:
Step 1: Write equation
4(x - 2) = 3x + 1
Step 2: Solve for x
Distribute 4: 4x - 8 = 3x + 1Subtract 3x on both sides: x - 8 = 1Add 8 to both sides: x = 9Step 3: Check
Plug in x to verify it's a solution.
Substitute: 4(9 - 2) = 3(9) + 1Parenthesis (add): 4(7) = 3(9) + 1Multiply: 28 = 27 + 1Add: 28 = 28What is the value of b in this diagram?
A. 12
B. 10.2
C. 9
D. 8
Answer:
It is NOT c
Step-by-step explanation:
I clicked c and it was wrong lol.
Answer:
its D
Hope this helps ⊂◉‿◉つ
What’s the unit rate of 2 1/3 miles in 2 hours
Answer:
7/6 miles
Step-by-step explanation:
As, Distance for 1 hour = x
For 2 hours = 2 1/3
For 2 hours = 2(x)
So, 2(x)= 2 1/3
2(x)= 7/3
So, x = 7/3 ÷ 2
So x= 7/3 x 1/2
Therefore, x = 7/6
Final answer= 7/6 miles per hour
1. Half of a number is at most 5 units from 14.
Answer:
18≤n≤38
Step-by-step explanation:
What is the location of H' after the image is rotated 180 degrees?
Answer:
The answer is B
Step-by-step explanation:
If you were to rotate the shape 180* it would turn 2 times leaving the point "H" at (5, -3)
Her friend comes to the rescue and brings 15 more cups of chocolate chips! How many more muffins will they be able to make with the additional chocolate chips?
Answer:
Not enough context.
Step-by-step explanation:
Please give us the full question. How many chocolate chips in a muffin?
can any one help me plz
Write the equation of the line that passes through the given points. (0,-5) and (8,0)
Answer:
[tex]y=\frac{5}{8}x-5[/tex]
Step-by-step explanation:
You're given two points, using that you can use the slope-finding formula:
[tex]slope=\frac{(y^{2} - y^{1}) }{(x^{2} - x^{1})}[/tex]
After that, match up the y-coordinates with each other and the same goes for the x-coordinates. It should look something like this:
[tex]slope = \frac{(0-(-5))}{(8-0)} \\\\=\frac{5}{8}[/tex]
5/8 is your slope. Using the general slope formula y=mx + b, you know that m is the slope and b is the y-intercept. So now you know your slope, plug it into the formula, along with one of the given points. In this case, I will be using (8, 0) because it is easier to solve.
[tex]m = \frac{5}{8}\\ \\y = (\frac{5}{8} )x+b\\(8, 0)\\(0) = \frac{5}{8}(8) + b\\ 0 = 5 + b\\\\-5 =b\\ \\y=\frac{5}{8}x-5[/tex]
You can see I replaced the x and y with the given values accordingly. Then you simplify by subtracting the five on both sides and your y-intercept is -5. Then combine your slope and y-intercept to get your answer!
Hope that helped!
-Bob Ross
The heights of horses who compete in the Melbourne Derby are normally distributed with a mean of 66 inches and a standard deviation of 3 inches (a) If a horse is randomly selected from this race, what height would you expect it to be? (b) What percentage of horses who compete in the Melbourne Derby have heights between 60 and 72 inches? (c) In a particular year there are 25 horses running in the Melbourne Derby. How many of these would you expect to have a height of less than 63 inches?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Distribution = Normal
Mean(m) = 66
Standard deviation (σ) = 3 inches
A.) If horse is randomly selected from the race, Expected height = mean of the distribution = 66
B.) % horses with height between 60 and 72
Using the relation :
X = 60 ; 72
Z = (x - mean) σ
Z = (60 - 66) / 3
Z = - 6/3
Z = - 2
P(Z < - 2) = 0.0228 (using table)
Z = (72 - 66) / 3
Z = 6/3
Z = 2
P(Z < 2) = 0.9772 (using table)
P(score being between 60 and 72):
0.9772 - 0.0228= 0.9544
C) number of samples = 25
Height less than 63 inches :
What is the y-intercept of the line that passes through the points (-2, 4)
and (4, -20). Make sure to choose (X1. Yı) and (X2, Y2) carefully.
Answer:
y=-4x-4
Step-by-step explanation:
-2,4
4,-20
-20-4 is -24
4--2
6
-24/6 is -4 (slope)
4=-2*-4+b
4=8+b
-4=b (y intercept)
A caterer is planning a party for 64 people. The customer has $150 to spend. A $39 pan of pasta feeds 14
people and a $12 sandwich tray feeds 6 people. How many pans of pasta and trays of sandwiches should the
caterer make?
Three years ago, Jolene bought $500 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 12 1 2 % per year. How much is the stock worth now? (Round each money calculation you make to the nearest cent.)
Answer:
The stock is worth $702.5.
Step-by-step explanation:
Giving the following information:
Present Value= $500
Number of periods (n)= 3 years
Growth rate (i)= 12%
To calculate the value of the stock today, we need to use the following formula:
FV= PV*(1+i)^n
FV= 500*(1.12^3)
FV= $702.5
The stock is worth $702.5.
2. Determine the amount of interest owed after 2 years on a $850 loan at 12.25% if no payments
are made. LTD
Enter your answer
The amount of interest is 208.74$
Here we have given
Amount (P)=850$
Interest (r)=12.25%
Time (t)=2 years
we have to calculate the simple interest
What is the formula for simple interest?
[tex]I=\frac{PRT}{100}[/tex]
Plug the given value in above formula
[tex]I=\frac{850*12.25*2}{100}[/tex]
Simplify above equation we get
[tex]I=\frac{850*12.25*2}{100}\\\\I=\frac{20874}{100}\\\\I=208.74[/tex]
Therefore the amount of interest is 208.74$
To learn more about the interest visit:
https://brainly.com/question/25793394
Solve for r given the points ( 12 , 10 ) and (-2, r) and the slope, m = -4.
Answer:
r = 66
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to - 4
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (12, 10) and (x₂, y₂ ) = (- 2, r)
m = [tex]\frac{r-10}{-2-12}[/tex] = [tex]\frac{r-10}{-14}[/tex] , then
[tex]\frac{r-10}{-14}[/tex] = - 4 ( multiply both sides by - 14 )
r - 10 = 56 ( add 10 to both sides )
r = 66
PLS!!!!! HELP ME!!! I WILL MARK U!!!
Answer:
-5
Step-by-step explanation:
Answer:
The coefficient is the number before the variable. In this, they are asking for the first term which is -5m. The coefficient is -5.
Step-by-step explanation:
1. Multiply (3)(−4)(2). (5 points)
Answer:
-24
Step-by-step explanation:
Answer-24
Step-by-step explanation:
3 x -4 x 2
6 x -4 =
-24
What is X? −7x−8= -10x+4
Answer: x=4
-7x-8=-10x+4
+8 +8
-7x=-10x+12
+10x +10x
3x=12
3x/3=12/3
X=4
what is the point slope form of a line that has a slope of 3 and passes through point (1,4)?
convert 300 seconds to minutes there are 60 seconds in 1 minute
Answer:
5 Minutes
Step-by-step explanation:
If you divide 300 by 60 you get 5.
Answer: 5 MINUTES
Step-by-step explanation:
A Store has 120 customers in 6 hours.What is the unit rate in customers per hour
Answer:
20
Step-by-step explanation:
120/6=20
Solve the notable products (x-12).(x+12)
Answer:
x^2 -144
Step-by-step explanation:
Please help me with this !!
Answer:
All of the points would be eight places lower in the y value
Step-by-step explanation:
Lets check by putting 8 in the place of x y= 8^2 which equals 64, that means that y equals 64, then do the second equation y = 8^2 - 8 which equals 56, which means y equals 56, 64 minus 56 equals 8 so they have a difference of 8.
Max is x years . Brother is 8 years older , sister is 12 years younger.total age.is 50 years.how old are they ?
Answer:
30
Step-by-step explanation:
12 + 8 = 20 so that means 50-20= 30 so max is 30 years old
What is -2(x - 5)- 11 in simplest form?
Answer:
-2x - 1
Step-by-step explanation:
-2(x-5)-11
We need to follow order of operations to simplify this expression. Order of operations is PEMDAS (Parentheses, exponents, multiplication, division, addition, subtraction)
-2(x-5)-11
-2x + 10 - 11
-2x - 1
Solve the following system algebraically. Show all of your work. (5 points)
y = x + 3
3x + y = 19
Answer:x=4 and y=7
Step-by-step explanation:
Please answer this for me it’s due tonight!
Answer:
the answers are the first one and the third one.
A's slope is y = 5.75x + 3
B's slope is y = 5.5x + 4
the circle shows the radius of 12mm what is the circumference
Answer:
24π or about 75.4 mm
Step-by-step explanation:
The circumference of a circle is denoted by C = 2πr, where r is the radius.
Here, we see that r = 12, so plugging this in:
C = 2πr
C = 2π * 12 = 24π ≈ 75.4 mm
The answer is thus 24π or about 75.4 mm.
~ an aesthetics lover
Answer:
about 75.36
Step-by-step explanation:
The circumference formula is C=pi times the diameter and the diameter is 24 because it is twice the diameter so 24 times pi.
Dan has already written 27 pages,and he expects to write 1 page for every additional hour spent writing . After spending 21 hours writing this week ,how many pages will Dan have written in total ?
Answer:
48 pages total
Step-by-step explanation:
hope this helps
50+ Points!
Solve the equation.
5^-9×325+(-42÷-14)
Answer:
−6347653.25 or 3.0001664, not my style of math but it is definitely one of the two.
Step-by-step explanation:
−1953125 x 325 + 3
−6347656.25 + 3 = −6347653.25
Answer:
3.0001664
Step-by-step explanation:
.