The value of the given composite functions would be,
1) (h o k)(3) = 3
2) (k o h)(-4b) = -4b
How to interpret Inverse Functions?
When two functions are inverses, then each will reverse the effect of the other.
For the functions f and g, we can say that;
(f o g)(x) = x and (g o f)(x) = x
For the given example,
The functions h and k are inverse functions.
Thus, for any real input value 'x',
(h o k)(x) = x and (k o h)(x) = x
So, the value of the given composite functions would be,
1) (h o k)(3) = 3
2) (k o h)(-4b) = -4b
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Hello, I need the steps. I'm kinda confused. Thanks!
Answer:
y = -[tex]\frac{2}{3}[/tex] x - 3
Step-by-step explanation:
The general form of the equation of the line (linear equation) is:
y = ax + b
The line passes through (-3, -1) and (6, -7), i.e:
(1) (x=-3, y=-1) is a point that verifies the equation of the line, and
(2) (x=6, y=-7) also verifies the equation.
So we can put up a system of 2 equations to obtain a and b:
y = ax + b
(1) -1 = a (-3) + b
(2) -7 = a (6) + b
______________
substracting (1) - (2) we can obtain a:
-1 - (-7) = a (-3-6) ⇒ 6 = -9 a ⇒ a = -2/3
by replacing a in (1) we can obtain b:
-1 = -2/3 (-3) + b ⇒ -1 -2 = b ⇒ b = -3
so, the equation is: y = ax + b ⇒ y = -2/3 x - 3
Verification: (2) giving x= 6, let's see if y=-7 is obtained:
y = -2/3 6 - 3 ⇒ y = -4 - 3 = 7 ⇒ RIGHT!
PLEASE HELP ME!!!!!!!!!!!!!!!!!A class room took a survey and asked how many students like spicy food, Below is their ratio of boys to girls that like spicy food.
Plot the points based on the ratio table below
Boys Girls
3. 2.
6. 4.
12. 8.
15. x
Answer: x = 16
Step-by-step explanation: The y values keep going up by multiplying 2. 2x2=4, 4x2=8, so 8x2=16.
To plot the points just put the point coordinated with the x values and y values.
2+4 i need help right now
Answer:
6?
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
2 + 4 =6
just add 2 by 4 than ans 6
Simplify the expression. 7(6x – 4) + 1 1. Distribute the 7 through the parentheses. 2. Combine like terms.
Answer:
42x+−17
Step-by-step explanation:
(7)(6x)+(7)(−4)+11
42x+ −28 + 11
(42x)+(−28+11)
42x+−17
EDG. The universal set in this diagram is the set of integers from 1 to 15. Place the integers in the correct place in the Venn diagram.v (Not a question just an answer lol ;) )
Answer:
A=1,3,5,15
B=1,3,5,7,9,11,13,15
C=3,6,9,12,15
U=1,2,3,4,5,6,7,8,9,10,11,12,13,14,15
The original price of a pair of jeans is $32.50. The discount is 15% off the original price. What is the amount of the discount?
Answer:
I got 4.875
Step-by-step explanation:
so it would be either $4.87 or rounded up would be $4.88
A ping pong ball has a diameter of 4cm. How many ping pong balls will fit in a room that is 9.5 meters long, 7.5 meters wide, and 3 meters high?(Hint: 1 meter = 100 centimeters)
Answer:
6042915 balls.
Step-by-step explanation:
Volume of a ping pong ball is;
V = (4/3)πr³
diameter of ping pong ball is given 4cm = 0.04 m
Radius; r = 0.04/2 = 0.02 m
V = (4/3)π(0.02³)
V = 0.00003351032 m³
Room is 9.5 meters long, 7.5 meters wide, and 3 meters high.
Volume; V = 9 × 7.5 × 3 = 202.5 m³
Number of ping pong balls that will fit into the room = volume of room/volume of ping pong balls = 202.5/0.00003351032 = 6042914.540956151
Approximately 6042915 balls.
Prove that two triangles on the same base and between the same parallels are equal
in area.
follow me please .........
Answer:
............................
Step-by-step explanation:
.,.,.,.,.,.,.,.,.,,,,,.,.,.،.،.،.،.،.
Dilate a square with vertices (0,0). (0,4). (4,4), and (4,0) using the scale factor k=0.5. What is the value of the ratio (new to original) of the
perimeters? the areas?
The ratio of the perimeters is
The ratio of the areas is
Perimeter: 1\2
Area: 1\4
Eddie is reading a novel for English class. He has read 168 out of 480 pages. What percent of the book has he read?
Answer:
0.35%
Step-by-step explanation:
percentage of households with internet access is equal to 60%
Answer: Is there more to the question if so please tell me and i'll answer.
Step-by-step explanation:
The length of each side of a square was increased by 6 inches, so the perimeter is now 52inches. What was the original length of each Side if the square?
Answer:
7
Step-by-step explanation:
6×4=24
52-24=28
28÷4=7
Write a equation
3. slope = 5, goes through the point (2,7)
Answer:
y=5x-3
Step-by-step explanation:
Slope intercept form is y=mx+b and you know the slope so you can get y=5x+b
Then you are given a point, (2, 7), so you can plug that into the equation to find the y-intercept
7=5(2)+b
Then you just solve for b
7=10+b
-10
-3=b
So the final equation is y=5x-3
The required equation of the line passing through the point (2, 7) and having a slope of 5 is y - 5x = -3
The standard equation of the line using the point-slope form is expressed as:
y-y0 = m(x-x0)
m is the slope of the line
(x0, y0) is the point on the line
Given the following parameters
m = 5
(x0, y0) = (2, 7)
Substitute the given expressions into the formula as shown:
y - 7 = 5(x-2)
y - 7 = 5x - 10
y - 5x = -10 + 7
y - 5x = -3
Hence the required equation of the line passing through the point (2, 7) and having a slope of 5 is y - 5x = -3
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PLEASE HELP ME I NEED THIS DONE SOON AND I DKNT UNDERSTAND IT
Answer:
Step-by-step explanation:
1/2 + b + h
Okay so we know that b is 6 and that h is 10 so we can change the question to this : 1/2 + 6 + 10. We know that 1/2 is also writen as 0.5 , now all you need to do is 0.5 + 6 + 10 = 16.5 . The question asks to round to the nearest 10th so you need to add a 0 after the 5 so you can round up or down.
16.50
Now you need to look at the 10th number which is 5 and to round it up you need to look at the number after that which would be 0, we know that anything that is 4 or below gets rounded down so your answer for this question is simply 16.5.
I hope that helped you and good luck!
2.
The change, in yards, in a football team's position on the field for each of their last four plays is
shown below.
-4, 7, -7,0
Which list correctly compares the changes, in yards, in the football team's position on the field?
A. -7<-4< 0 < 7
B. -4 <-7 <0 <7
C. 0<-7<-4 <7
D. 0<-4 <-7<7
Answer:
[tex]-7 < -4 < 0 < 7[/tex]
Step-by-step explanation:
Given
Change: -4, 7, -7 and 0
Required
Compare them
From the list of given options, we can observe that the inequality < is used in all options.
This implies that we arrange from least to highest
The least is -7
Then, -4
Then 0
And lastly, 7
So, we have:
[tex]-7 < -4 < 0 < 7[/tex]
Answer: is it –7<–4<0<7
Which system of equations can be used to find the roots of the equation 4 x Superscript 5 Baseline minus 12 x Superscript 4 Baseline + 6 x = 5 x cubed minus 2 x?
StartLayout Enlarged left-brace 1st Row y = negative 4 x Superscript 5 Baseline + 12 x Superscript 4 Baseline minus 6 x 2nd row y = 5 x cubed minus 2 x EndLayout
StartLayout Enlarged left-brace 1st Row y = 4 x Superscript 5 Baseline minus 12 x Superscript 4 Baseline + 5 x cubed + 4 x 2nd row y = 0 EndLayout
StartLayout Enlarged left-brace 1st row y = 4 x Superscript 5 Baseline minus 12 x Superscript 4 Baseline + 6x 2nd row y = negative 5 x cubed + 2 x EndLayout
StartLayout Enlarged left-brace 1st row y = 4 x Superscript 5 Baseline minus 12 x Superscript 4 Baseline + 6x 2nd row y = 5 x cubed minus 2 x EndLayout
Answer:
D. on Edg 2020
Step-by-step explanation:
You are welcome, I helped better than that other guy!!!
Answer:
D. [tex]\left \{ {{y=4x^{2} } \atop {y=x^{3}+2x }} \right.[/tex]
the line segment shown is reflected over the y - axis what are the new coordinates of point A
A roller coaster is going down the slope and the speed is 6m/s . 10 seconds later it has reached the bottom of the slope with a speed of 35m/s. what is the acceleration
Answer:
The acceleration is 2.9m/s^2
Step-by-step explanation:
Given
[tex]Initial\ Speed\ (u) = 6m/s[/tex]
[tex]Final\ Speed\ (v) = 35m/s[/tex]
[tex]Time\ (t) = 10s[/tex]
Required
Determine the acceleration
This question will be answered using Newton's first equation of motion.
[tex]v = u + at[/tex]
Substitute values for v, u and t
[tex]35 = 6 + 10 * a[/tex]
[tex]35 = 6 + 10 a[/tex]
Collect Like Terms
[tex]10a = 35-6[/tex]
[tex]10a = 29[/tex]
Solve for a
[tex]a = 29/10[/tex]
[tex]a = 2.9[/tex]
Hence, the acceleration is 2.9m/s^2
2. 18x – 3y =21
y=6x - 7
Answer:
x,y=(0,-7)
Step-by-step explanation:
Multiply eq2 by 3:
[tex]18x-3y=21\\18x+3y=-21[/tex]
Subtract:
[tex]-6y=42\\y=-7[/tex]
Substitute:
[tex]x=0[/tex]
Hope this helps :D
Help!!!!please, I need to answer this question
Answer:
m<B = 62°
Step-by-step explanation:
Given that ∆ABC is congruent to ∆TUV, it follows that their corresponding angles are equal to each other. Therefore:
m<B = m<U
m<B = (3y + 2)°
m<U = (4y - 18)°
Thus,
3y + 2 = 4y - 18
Collect like terms
18 + 2 = 4y - 3y
20 = y
y = 20
m<B = (3y + 2)°
Plug in the value of x
m<B = 3(20) + 2
m<B = 60 + 2
m<B = 62°
12k-15=35+2k
answer pleasseeeeeeeee thank youu!!
Answer:
K=5
Step-by-step explanation:
12k-15=35+2k
12k=50+2k
10k=50
k=5
Answer:
[tex]k = 5[/tex]
Step-by-step explanation:
[tex]12k - 15 = 35 + 2k[/tex]
Our goal is to isolate k
[tex]12k - 15 = 35 + 2k\\\;\;\;\;+15 \;\;\;\;\;\;\; +15[/tex]
[tex]12k = 50 + 2k\\-2k \;\;\;\;\;\;\;\; -2k[/tex]
[tex]10k = 50[/tex]
Now we have k isolated to one side. Our final step is to have k be just k, no coefficient. We can do this by dividing each side by the coefficient.
[tex]\large\frac{10k}{10} = \frac{50}{10} \\\\10k\;\div\;10 = k\\50\;\div\;10 = 5\\[/tex]
[tex]\large\boxed {k \;=\;5}[/tex]
~[tex]InLoveWithPugs[/tex]
[tex]Moderator\\Math\ Enthusiast[/tex]
What is the tax on an item that is $42.50 if the tax rate is 9%?
Answer:
3.83
Step-by-step explanation:
find 9% of 42.50
-3x + 10y = 11
-8x + 2y = -20
Answer:
(3, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
-3x + 10y = 11
-8x + 2y = -20
Step 2: Rewrite systems
-8x + 2y = -20
Add 8x to both sides: 2y = 8x - 20Divide 2 on both sides: y = 4x - 10Step 3: Redefine systems
-3x + 10y = 11
y = 4x - 10
Step 4: Solve for x
Substitution
Substitute in y: -3x + 10(4x - 10) = 11Distribute 10: -3x + 40x - 100 = 11Combine like terms: 37x - 100 = 11Add 100 to both sides: 37x = 111Divide 37 on both sides: x = 3Step 5: Solve for y
Define original equation: -3x + 10y = 11Substitute in x: -3(3) + 10y = 11Multiply: -9 + 10y = 11Add 9 to both sides: 10y = 20Divide 10 on both sides: y = 2Step 6: Graph system
Check the system.
HELP PLEASE I ONLY HAVE A FEW MINS
Answer:option D for the first one
Step-by-step explanation:
It adds up to what they bought
if £2000 is placed into a bank account that pays 3% compound interest per year, how much will be in the account after two years?
Answer:
2121.8
Step-by-step explanation:
2000(1+0.03/1)^2
A= P(1+ r/n) ^nt
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
I don't remember what I learned. So, this might be wrong because I googled the formula :)
What are the coordinates of point P? (I will give brainliest) Edge 2020
Answer:
P = ( -2, -4.5 )
Step-by-step explanation:
-2 on the x axis;
-4.5 on the y-axis.
A pediatrician prescribes an infant patient 2.5 mL of Vistaril bid for 10 days. The label
on the medication indicates that the bottle contains 25mg/5mL of the oral suspension.
How many teaspoons full should the infant receive daily?
Answer: 1 teaspoon
Step-by-step explanation:
The calculation on the number of teaspoons full that the infant should receive daily should be:
Ordered dose = 2.5 ml bid and this should be given twice a day.
Since it's take twice, the total dose for the day will be:
= 2.5 × 2
= 5.0ml
Since 1 teaspoon is equal to 5ml, it means that the teaspoon that the infant should receive daily is 1 teaspoon.
Solve the inequality 19
Answer:
nsnsuieieiwiwiweuejjeejeje
Is y=10 a function?
Answer:
Yes
Step-by-step explanation:
x=10 would not however since it is a vertical line and fails the vertical line test where an x value cannot be repeated more than once.
y=10 would be a horizontal line coming from the point (0,10)
Based on △GHI below, which of the following inequalities is true?
Answer:
C. [tex] \overline{GI} < \overline{GH} < \overline{HI} [/tex]
Step-by-step explanation:
In a triangle, the longest side is opposite to the largest measure of angle. The medium side is opposite to the medium angle, while the shortest side is opposite to the smallest angle.
In ∆GHI,
✍️m<G = 95°, it is opposite to [tex] \overline{HI} [/tex]
<G is the largest angle, therefore, [tex] \overline{HI} [/tex] is the longest side.
✍️m<I = 180 - (95 + 38) = 47°.
<I is opposite to [tex] \overline{GH} [/tex]
<I is the medium angle, therefore, [tex] \overline{GH} [/tex] is the medium side.
✍️m<H = 38°, it is opposite to [tex] \overline{GI} [/tex]
<h is the smallest angle, therefore, [tex] \overline{GI} [/tex] is the shortest side.
✅This means:
[tex] \overline{GI} < \overline{GH} < \overline{HI} [/tex]