The calculated expression of function g(x) in terms of x is g(x) = 3f((x-1)/2)
Expressing the function g(x) in form of xTo express g(x) in terms of x, we need to use the relationship given between the points on the graph of y=f(x) and the corresponding points on the graph of y=g(x).
Specifically, if a point (a,b) is on the graph of y=f(x), then the point (2a+1,3b) is on the graph of y=g(x).
Using this relationship, we can write:
g(x) = 3f((x-1)/2)
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Joseph has a fair dice with 4 faces numbered 1 to 4.
He also has a fair dice with 6 faces numbered 1 to 6.
He rolls both dice.
Find the probability of rolling a different number on each dice.
Answer:
To find the probability of rolling a different number on each dice, we can determine the total number of possible outcomes and the favorable outcomes.
The total number of possible outcomes when rolling a 4-sided die and a 6-sided die is the product of the number of sides on each die: 4 × 6 = 24.
The favorable outcomes occur when we roll a different number on each die. We can calculate this by considering all the possible combinations.
For the first die (4-sided), there are 4 possible outcomes.
For the second die (6-sided), there are 6 possible outcomes.
Since we want different numbers on each die, the total number of favorable outcomes is 4 × 6 = 24.
Therefore, the probability of rolling a different number on each die is:
Probability = (Number of favorable outcomes) / (Number of total outcomes)
Probability = 24 / 24
Probability = 1
Hence, the probability is 1 or 100%.
What is the product of −8 1/3 and 3 2/5?
Possible Responses
−28 1/3
Negative 28 and 1 third
−24 2/15
Negative 24 and 2 over 15
24 2/15
24 and 2 over 15
28 1/3
28 and 1 third
Show work please!
How did you do it?
Step-By-Step
Answer: -28.3...
Step-by-step explanation:
help me Please asap in inserted the picture NUMBER 6 BTW
Answer:
The length is 192ft
Step-by-step explanation:
To find the length you have to find the scale used to draw the image which would be the width given divided by the width in yards then multiply the given length by the scale to get the length in yards.
Hope this helps :)
theta is a right angled triangle tan theta= 23/52 work out the value of theta give your answer to 1 decimal place
Answer:
θ = 23.9°
Step-by-step explanation:
tan θ = 23/52
θ = arc tan (23/52)
=23.86°
= 23.9° to one decimal place
what number can be subtracted from 11 get to 3
Answer:
8
Step-by-step explanation:
11 - 8 = 3
Was there anything more to this question?
Open this doc 2 (less blurry one!)
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{3}}x+16\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ \cfrac{1}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{1} \implies -3}}[/tex]
so we're really looking for the equation of a line whose slope is -3 and it passes through (-9 , 13)
[tex](\stackrel{x_1}{-9}~,~\stackrel{y_1}{13})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{13}=\stackrel{m}{- 3}(x-\stackrel{x_1}{(-9)}) \implies y -13 = - 3 ( x +9) \\\\\\ y-13-3x-27\implies {\Large \begin{array}{llll} y=-3x-14 \end{array}}[/tex]
Answer:
m = 1/3
m⊥ = -3
x1 = -9
y1 = 13
point slope: y-13 = -3(x+9)
slope intercept: y= -3x-14
Step-by-step explanation:
Equation given is in y=mx+b form, so I think m=1/3 (or whatever is right before the x cause it is little hard to see)
To find a perpendicular slope, you use the negative reciprocal of the given slope, so the perpendicular slope would be m=-3
x1 and y1 would be the given coordinates so -9 and 13 respectively
Finally plug in all this info into point slope form equation (y-y1 = m(x-x1)
Point slope would be: y-13 = -3(x+9)
Slope intercept would be: y= -3x-14
Hope this helps!
2 8/9 - 2/3 = 1 1/3. Correct any mistakes
Answer:
its 20/9
Step-by-step explanation:
2×9+8 /9=18+26/9
26/9-2/3=20/9
Answer:
2 2/9
Step-by-step explanation:
2/3= 6/9
2 8/9 = 26/9
26/9 - 6/9 = 20/9
20/9 simplified = 2 2/9
A company is going to make a storage container with sheet steel walls. The container will be in the shape of a rectangular prism, as shown below. If the sheet steel costs $25 for each square meter, how much will the sheet steel cost in total?
Answer:
Step-by-step explanation:
no picture
What is 2x+21? Please it's due in about 15 minutes!!!
Answer:
The value of x is 21
Step-by-step explanation:
2x+21 is a linear equation with one unknown, x. To solve for x, we can use the following steps:
1. Subtract 21 from both sides of the equation. This will isolate x on the left-hand side of the equation.
```
2x+21 - 21 = x
```
2. Divide both sides of the equation by 2. This will divide both sides of the equation by 2, which will cancel out the 2 on the left-hand side of the equation, leaving x by itself.
```
x = (2x+21)/2
```
3. Simplify the right-hand side of the equation.
```
x = x/2 + 21/2
```
4. Combine like terms on the right-hand side of the equation.
```
x = (1/2)x + 21/2
```
5. Subtract (1/2)x from both sides of the equation. This will isolate x on the left-hand side of the equation.
```
x - (1/2)x = (1/2)x + 21/2 - (1/2)x
```
6. Simplify the right-hand side of the equation.
```
(1/2)x = 21/2
```
7. Multiply both sides of the equation by 2. This will multiply both sides of the equation by 2, which will cancel out the (1/2) on the left-hand side of the equation, leaving x by itself.
```
2*(1/2)x = 21/2 * 2
```
8. Simplify the right-hand side of the equation.
```
x = 21
```
Therefore, the value of x is 21.
PLS HELP ME DO THIS QUESTION PLSPLSPLS
QUESTION IS ON THE PIC BELOW
The radius of a circle is 12 cm. Find its circumference in terms of
�
π.
pllsss
Answer:
Step-by-step explanation:
75.39 because 2*pi*12
how do i simplify an improper fraction
Deanna is comparing the number of people per household in two neighborhoods. She takes a random sample of 20 households from each neighborhood and displays her results on the dot plots shown.
What is the degree of overlap for the dot plots?
Responses
High
Moderate
None
Answer:
what is the degree of overlap? if the answers are Responses, high, moderate, or none. the answer is moderate
Step-by-step explanation:
The degree of overlap for the dot plots, given the data is A. High.
What is a high degree of overlap ?The dot plots for the two neighborhoods show a high degree of overlap, it would suggest that the distribution of the number of people per household in each neighborhood is similar.
This means that there is little difference between the two neighborhoods in terms of the average number of people per household. It is possible that the two neighborhoods have similar average household sizes but differ in other important ways, such as income, education level, or demographics.
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Harper bought 9 toys for her puppy, Peanut. The toys cost:
$9.00 $6.00 $9.00 $9.00 $6.00 $5.00 $6.00 $5.00 $3.00
What was the median price of the toys?
Answer:
$6.00
Step-by-step explanation:
As we know that the median is the middle value of a data set. When we list these costs in order:
3,5,5,6,6,6,9,9,9
When crossing out the values on each side we can see that the middle value lands on 6 so the median is $6.00
Hope it helps!
0.75(s+13)=
Please help!
Answer:0.75x+9.75
Step-by-step explanation:
First, you will have to distribute (multiply) the 0.75 to both the s and 13 inside the parenthesis which would get you 0.75x+9.75
I NEED A GOOD GRADE SO I CAN BE A STEPPER NEXT YEAR !!!!!
Answer: It's 7
Step-by-step explanation: Since all the sides are the same and it says JK is 7 inches HL must also be 7 inches.
Hope It helped!
Brianna has a decision to make on where to attend college after high school. She has a choice of living at home and attending the local junior college or attending a four-year university. She created a table to help her and her parents make the decision. The table contains the estimated costs for each semester.
At Junior College At Four-Year University
Tuition and Fees $1,800 $2,625
Room and Board $0 $3000
Transportation Costs $1000 $0
Books and Supplies $700 $700
Personal Expenses $600 $600
How much would she save the first year by attending the local junior college?
Answer: I think it would be $2825
Step-by-step explanation:
Add all of the Junior College fees and then add all of the 4-year college fees and then subtract them to find your answer.
Please Help me! I am clueless
Please help ASAP will give brainlest and special thanks
Answer:67cm
Step-by-step explanation:
.....................................
Answer:
282 cubic inches
Step-by-step explanation:
Let's have A be the top figure, B the middle, and C the bottom.
First, we need the volume for A, B, and C. And after, add them up.
Figure A : 1 · 5 · 2 = 10 cubic inches
Figure B : 3 · 3 · 8 = 72 cubic inches
Figure C : 10 · 4 · 5 = 200 cubic inches
Now we add A+B+C, so the equation is:
10+72+200=282 cubic inches
Hence, the volume of the this figure is 282 cubic inches.
2/7+(-3/4) + (-2/7)+4/3 please show all work! Thank you so much!
To add these fractions, we need to find a common denominator. The least common multiple of 7, 4, and 3 is 84, so we will use 84 as the common denominator.
2/7 + (-3/4) + (-2/7) + 4/3
= (2/7) * (12/12) + (-3/4) * (21/21) + (-2/7) * (12/12) + (4/3) * (28/28) (multiplying each fraction by an equivalent form to get a common denominator of 84)
= 24/84 - 63/84 - 24/84 + 112/84 (simplifying each fraction)
= -51/84 + 112/84 (combining like terms)
= 61/84 (simplifying the resulting fraction)
Therefore, 2/7 + (-3/4) + (-2/7) + 4/3 = 61/84.
Answer:
7/12
Step-by-step explanation:
2/7 + (-3/4) + (-2/7) + 4/3
2/7 - 3/4 - 2/7 + 4/3 (+ * - = -)
2/7 - 2/7 - 3/4 + 4/3 (Distribution Property)
0 - 3/4 + 4/3
- 3/4 + 4/3
4/3 - 3/4 (Distribution Property)
LCM = 3 * 4
= 12
(16 - 9) / 12
7/12
So, the final answer is 7/12.
Hope my answer helps you ✌️
Mark BRANLIEST
A. 2 in. B. 3 in. C. 5 in. D. 7 in.
Answer:
D) Need more information
Step-by-step explanation:
Since the hexagon is irregular, the interior angles will not be equal in size.
To solve for the measure of ∠P, we would need more information.
The base of this regular right pyramid is a square. What is its surface area? A. B. C. D. .
Answer: Your answer is 21 ft^2
Hope it helped!
^ ‿ ^
Elena has a budget of $50 for a new watch. she finds two watches that are $8 above and $8 below her budget, respectively.
Part A
write an absolute value equation that can be used to find the prices of the wayches elena finds
0=|x+___|+___
Part B
What are the prices of the watchee Elena finds?
$______and$______
The requreid, The absolute value equation to represent this situation is 0 = |x - 50| + 8 and Elena finds a watch that costs $50. The other two watches are priced at $42 and $58.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Part A:
Let x be the price of the first watch she finds. Then the price of the second watch is x - 16 (since it is $8 below her budget).
The absolute value equation to represent this situation is:
0 = |x - 50| + 8
Part B:
To solve the absolute value equation, we need to consider two cases:
Case 1: x - 50 is positive
If x - 50 is positive, then we can write the equation as:
0 = x - 50
x = 50
This means that the watch Elena finds costs $50, which is exactly her budget.
Case 2: x - 50 is negative
If x - 50 is negative, then we can write the equation as:
0 = -(x - 50)
0 = -x + 50
x = 50
Again, this means that the watch Elena finds costs $50.
So, Elena finds a watch that costs $50. The other two watches are priced at $42 and $58.
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Can someone help please I'm in a hurry
Find the area of the composite figure.
A. 82 squared ft
B. 61 squared ft
C. 40 squared ft
D. 49 squared ft
Area of rectangle
Length*Breadth10*440ft²Area of triangle
1/2*Base*Height1/2*7*63*721ft²Total area
21+4061ft²Option B
Can someone answer this question for me? asap please
Answer:
a) If the volume of the prism on the left is 1029 m³, then the volume of the prism on the right is 1536 m³.
b) If the height of the prism to the left is 14 m, the height of the prism to the right will be 16 m.
c) If the surface area of the prism to the left is 392 m², the surface area of the prism to the right will be 512 m².
Step-by-step explanation:
a) To solve, set up a proportion. Volume is three-dimensional, so we need to cube.
(7/8)³=1029/x
Now we can solve using cross products to get 1536.
If the volume of the prism on the left is 1029 m³, then the volume of the prism on the right is 1536 m³.
b) To solve the second one, we also set up a proportion. Height is one-dimensional, so we will not need exponents here.
7/8=14/x
Solve using cross products to get 16.
If the height of the prism to the left is 14 m, the height of the prism to the right will be 16 m.
c) Now we are solving for area, which is two-dimensional. Therefore, we will need to square.
7/8²=392/x
Solve using cross products to get 512.
If the surface area of the prism to the left is 392 m², the surface area of the prism to the right will be 512 m².
Hope this helps and good luck on your homework! For additional resources, check out The Maths Prof: Similarity parts 1-3.
There are 4 figures shown. The first figure has a 1 dot, the second has 3 dots, and the third figure has 6 dots, and finally, the fourth one has 10 dots.
If the following pattern continues, how many more dots are there in Figure 100 than in Figure 98?
(Offering 30points for this question for Math Olympiad! Thank you! <3)
Answer:
Figure100=5050dots Figure98=4851
What is the range?
89 86 93 86 85 87
I AM STILL CONFUSED PLEASE HELP ME BOO
Answer: Your answer is C) 144°
Step-by-step explanation: All the sides of a rectangular decagon are the same so since ∠D is 144° ∠A is 144°
Have a nice day!
Answer:
C(144
Step-by-step explanation: