[tex] \huge\mathbb\orange{ANSWER} [/tex]
[tex] \mathsf \purple{6x + 9 = 45}[/tex]
[tex] \mathsf \pink{6x + 9 - 9 = 45 - 9}[/tex]
[tex] \mathsf \purple{6x = 36}[/tex]
[tex] \mathsf \pink{ \frac{6x}{6} = \frac{36}{6} }[/tex]
[tex] \mathsf \purple{x = 6}[/tex]
[tex] \mathbb\orange{Hope\: It\: Helps} [/tex]
The solution to an inequality is graphed on the number
line.
What is another way to represent this solution set?
-5 -4 -3
O {x | x <4.5)
O {x x 34.5}
O {x | x > 4.5)
O {x | x 2 4.5)
+
4 5
0
1
2
3
Answer:
Option b is the answer.
Step-by-step explanation:
As you can see in the image you have given, the x values that are less than or equal to 4.5 are the elements of the solution set.
Complete the description of what happens to a figure when the given sequence of transformations is applied to it: (x, y) + (-x,y); (x,y) → (0.4x, 0.4y);(x, y) + (x - 8, y + 8).
Reflection over the (x-axis/origin/y-axis); (transformation/translation/dilation/movement upwards) with a scale factor of 0.4; translation 8 units left and ___ units up.
Answer:
reflection over the y-axis; dilation with a scale factor of 0.4; translation 8 units left and 8 units upStep-by-step explanation:
ReflectionThe first transformation changes the sign of the x-coordinate. That means a point that was some number of units (3, for example) right of the y-axis will be transformed to a point 3 untis left of the y-axis. It is reflected across the y-axis.
__
DilationThe second transformation multiplies each coordinate value by 0.4. A point that was some number of units (3, for example) away from the origin, will be transformed to a point 3×0.4 = 1.2 units from the origin. It is dilated by a factor of 0.4.
__
TranslationThe third transformation subtracts 8 from the x-coordinate and adds 8 to the y-coordinate. The x-coordinate is a measure of the distance to the right of the y-axis, so subtracting 8 from the x-coordinate means the point is 8 fewer units to the right of the y-axis. It is translated left 8 units.
Similarly, the y-coordinate is a measure of the distance up from the x-axis. Adding 8 to the y-coordinate will move the point 8 more units up from the x-axis. It is translated up 8 units.
a) what is average rate of change of f(x) over the interval from x=5 to x=9? (table shows values of f(x). graph shows function of g(x).)
table:
x: 4, 5, 6, 7, 8, 9, 10
F(x): -8, -4, 8, 10, 11, 14 ,18
b) Find the average rate of change of g(x) over the interval from x = 0.25 to x= 1. (Write answer as a simplified fraction. Show work)
c) if g(x) represents the height of a ball that was throw. up into the air, interpret your answer from part b) in terms of the real-world it represents.
Answer:
See below for answers and explanations
Step-by-step explanation:
Part A
The average rate of change of a function over the interval [tex][a,b][/tex] is equal to [tex]\frac{f(b)-f(a)}{b-a}[/tex], hence:
[tex]\frac{f(b)-f(a)}{b-a}\\\\\frac{f(9)-f(5)}{9-5}\\\\\frac{14-(-4)}{9-5}\\ \\\frac{14+4}{4}\\ \\\frac{18}{4}\\ \\\frac{9}{2}[/tex]
Therefore, the average rate of change of [tex]f(x)[/tex] over the interval [tex][5,9][/tex] is [tex]\frac{9}{2}[/tex].
Part B
Do the same thing as in Part A:
[tex]\frac{f(b)-f(a)}{b-a}\\ \\\frac{f(1)-f(0.25)}{1-0.25}\\ \\\frac{2-5}{0.75}\\ \\\frac{-3}{0.75}\\ \\-4[/tex]
Therefore, the average rate of change of [tex]g(x)[/tex] over the interval [tex][0.25,1][/tex] is [tex]-4[/tex].
Part C
To interpret our answer from Part B in terms of the real world it represents, we say that between 0.25 seconds and 1 second, the ball falls at a rate of 4 feet per second (since our average rate of change is negative).
The average rates of change are:
a) 4.5b) -4c) It means that in the interval, for each second that passes the height decreases by 4ft.How to get the average rate of change?
For a function f(x), the average rate of change on the interval [a, b] is:
[tex]r = \frac{f(b) - f(a)}{b -a}[/tex]
a) Here we have:
[tex]r = \frac{F(9) - F(5)}{9 - 5} = \frac{14 - (-4)}{4} = 4.5[/tex]
b) Now we look at g(x) on the interval [0.25, 1]
Notice that g(0.25) = 5 and g(1) = 2
Then we have:
[tex]r = \frac{2 - 5}{1 - 0.25} = -4[/tex]
c) That average rate of change means that, in average, in that interval in each second the height decreases by 4 ft.
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Assuming that k is a nonnegative integer and m = 2k, what value is returned as a result of the call mystery (m) ?
The result of the recursive function mystery (m) is k.
How to analyze a recursive algorithm
In computer science, functions are collections of code that can be used and re-utilised in greater codes. Functions are formed by inputs, a procedure and an output.
In this question we must analyze a recursive function, recursive functions are functions that creates a loop with the function itself, that is, the function uses itself as an output, until desired output is done.
After performing desktop testing, we conclude that the result of the recursive function mystery (m) is k. [tex]\blacksquare[/tex]
RemarkThis is a Computer Science problem, whose complete statement is described below:
Consider the following recursive method:
public static int mystery (int n)
{
if (n <= 1)
{
return 0;
}
else
{
return 1 + mystery(n/2);
}
}
Assuming that k is a nonnegative integer and m = 2ⁿ, what value is returned as a result of the call mystery (m)?
To learn more on recursive functions, we kindly invite to check this verified question: https://brainly.com/question/25762866
The result of the recursive function mystery (m) is k.
How to analyze a recursive algorithm?In computer science, functions are collections of code that can be used and re-utilized in greater codes. Functions are formed by inputs, a procedure, and an output.
In this question we must analyze a recursive function, recursive functions are functions that create a loop with the function itself, that is, the function uses itself as an output until the desired output is done.
After performing desktop testing, we conclude that the result of the recursive function mystery (m) is k.
Consider the following recursive method:
public static int mystery (int n)
{
if (n <= 1)
{
return 0;
}
else
{
return 1 + mystery(n/2);
}
}
Hence, the result of the recursive function mystery (m) is k.
To learn more about recursive functions; brainly.com/question/25762866
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What is the length of PR?
Answer:
c 6
Step-by-step explanation:
since angles are equal then the sides can be equal
(AB÷PQ)=(AC÷PR)
(20÷5)=(24÷X)
4=24÷X
X=6
what is the doamin of the function f(x)=x+1/x²-6x+8
Answer:
Step-by-step explanation:
(x+1) = domain = all real #s
(x²-6x-8)⇒ (x-4)(x-2)= x≠ 2,4
Because you can not have a zero in the denominator, x≠2,4
so your domain is (-∞,2)∪(2,4)∪(4,∞)
y = -3x + 13
y = -x + 1
solve by substitution
Answer:
x = 6
y = -5
Explanation:
y = -3x + 13 y = -x + 1substitute each of the following,
-3x + 13 = -x + 1
-3x + x = 1 - 13
-2x = -12
x = 6
Find y,
y = -x + 1
y = -6 + 1
y = -5
Step-by-step explanation:
please mark me as brainlest
The ratio of green marbles to yellow marbles is
4 green marbles to 6 yellow marbles.
If there are 2 green marbles,
how many yellow marbles are there?
Answer:
There are three yellow marbles.
Step-by-step explanation:
The way i figure it is since they are both even numbers divide them both by two and you have your answer.
2x+2y=6 3x-y=5 equivalent equation
Answer:
x = 2, y = 1
Step-by-step explanation:
Given:
[tex]\begin{bmatrix}2x+2y=6\\ 3x-y=5\end{bmatrix}[/tex]
Solve:
[tex]\mathrm{Isolate\;x\;for\;2x+2y=6:x=3-y}[/tex]
[tex]\mathrm{Substitute\:}[/tex]
[tex]\begin{bmatrix}3\left(3-y\right)-y=5\end{bmatrix}[/tex]
[tex]\mathrm{Simplfy}[/tex]
[tex]\begin{bmatrix}9-4y=5\end{bmatrix}[/tex]
[tex]\mathrm{Isolate\;y\;for\;9-4y=5:y=1}[/tex]
[tex]\mathrm{For\:}x=3-y\;\mathrm{Substitute\:}y=1[/tex]
[tex]x=3-1[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=2[/tex]
[tex]\mathrm{The\:Answers\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=2,\:y=1[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Check Answer:
Since [tex]x =2 , y =1[/tex]
[tex]2(2)+2(1)[/tex]
[tex]4 + 2[/tex]
[tex]= 6[/tex]
True
[tex]3(2) - (1)[/tex]
[tex]6 -1[/tex]
[tex]5[/tex]
True
Hence, [tex]x = 2, y = 1[/tex]
~Lenvy~
please help i dont take links or files
What do all of the numbers have in common
1.) 13%
2.) 0.125
3.) 1
----
5
4.) 10%
PLEASE HELP I DONT TAKE LINKS OR FILES AND PLEASE SHOW YOUR WORK
Answer: They are all less than 1
13% = 0.13 is less than 1
So is 0.125
And so is [tex]\frac{1}{5} = 0.2[/tex]
Same goes for 10% = 0.10
In the spinner above, the section labeled *2* is twice as large as each of the sections labeled “3,” “4,”and “5”; the section labeled "1” Is three times as large as each of the sections labeled "3” “4” and “5”About how many times should Larry expect to land on "1"
A. 100
B. 75
C. 40
D. 25
Thank you!
Answer:
B.75
Step-by-step explanation:
Solve and I will mark brainliest.
A pound of clementines costs $2.49 and ms. wild buys 1.8 pounds. how much did she spend?
Answer:
i believe she spent $4.482 on clementines
HELP PLEASE
What is the surface area of this right triangular prism?
Enter your answer in the box.
in²
The surface area is the sum of the areas of the faces of a figure. We can break this figure down into 3 different shapes: the base rectangle, the rectangles that come to a point, and the two triangles.
Area of a Rectangle = base x height
Area of a Triangle = 1/2 x base x height
Base rectangle = 24 x 12 = 288
Rectangles that come to a point = 2(12 x 13) = 2(156) = 312
---There are two rectangles, which is why I multiplied the area by 2.
Triangles = 2(1/2 x 24 x 5) = 2(1/2 x 120) = 2(60) = 120
Surface Area = sum of all the areas of the faces
Surface Area = 288 + 312 + 120 = 720 in^2
Answer = 720 in^2
Hope this helps!
A clothing store is having a sale where all items are 60% off. What is the sale price of a $260 wool
coat?
Answer:
$104
Step-by-step explanation:
$260 - 60% = $104
a coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to buy each player a bottle of water and an energy bar. The price of one energy bar is $2. w equal the price of a bottle of water. Write an equation that represents the situation.
Answer:
$1.5 per water bottle.
Step-by-step explanation:
One energy bar is equal to $2.
$2 * 22 players is equal to $44.
$44 - $77 is equal to $33.
$33 ÷ 22 players is $1.5.
the reason I divided $33 by 22 players is because you need to know how many dollars did he pay for each bottle of water so you divide the amount of dollars by the amount of players to get the amount of dollars of each water bottle.
PLS HELP ILL MARK AS BRAINLIEST PLSS
Answer:
10%
Step-by-step explanation:
I think it's right lol but I could be wrong I forgot a lot of this stuff
but out of all the data it goes from 22-42 so 20 points in total
there is only 2 of the data points behind 24, so it is 2/20 or 10%
$1.68 for 8 ounces
$3.36 for 16 ounces
$3.60 for 20 ounces
$4.08 for 24 ounces
$5.44 for 32 ounces
Answer:
what do you mean by this I don't get it
how do you make x the subject on this
Scientists were studying snakes by catching, tagging, and releasing 77 snakes. A month later, the scientists come back and catch 11 snakes, of which 7 are tagged. Assuming that the catch is representative, how many snakes are there?
Savage growth of human hair is 0.5 in per month find how long it takes a human to grow 3 inches of hair for a human
Which symbol makes the comparisons true ? Complete the comparison -6 ? 3
[tex]======================================[/tex]
Negative numbers are always less than positive ones.
Do you remember the symbol for "less than"? That's right, "<" :)
Hence,
-6<3
Because
-6 is negative (the - sign tells us that)
3 is positive
[tex]===================================[/tex]
Notes: Hope everything is clear.Let me know if you have any questions!Answered by:~DiamondS~
Which fraction represents the slope formula for the line containing (4, 9) and (0, 5)? A. B. C. D.
The fraction that represnts the slope formula for the line that contains the points, (4, 9) and (0, 5) is given as: Slope = (-4)/(-4) = 1
What is the Formula for the Slope of a Line?Slope of a line = change in y/change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Given the following points:
(4, 9) and (0, 5)
Slope of the line would be:
Slope = (5 - 9)/(0 - 4)
Slope = (-4)/(-4)
Slope = 1
Therefore, the fraction that represnts the slope formula for the line that contains the points, (4, 9) and (0, 5) is given as: Slope = (-4)/(-4) = 1
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Michele's credit card had a balance of $579. 53 on August 1. On August 8, she made a payment of $500. On August 16, she made a charge of $200. On August 24, she made another charge of $350. What was her average daily balance?
By taking the average of her balance of each day of August, we will see that the average daily balance is $373.08
What was her average daily balance?
We know that:
On August 1, her balance was $579.53On August 8, her balance was $579.53 - $500 = $79.53On August 16, her balance was $79.53 + $200 = $279.53On August 24, her balance was $279.53 + $300 = $579.53So, first, her balance is $579.53 for 7 days. Then her balance is $79.53 for 8 days, then her balance was $279.53 for another 8 days, and finally, her balance was $579.53 for the last 8 days of august.
Then over the 31 days of August, the average daily balance will be:
[tex]A = \frac{7*579.53 + 8*79.53 + 8*279.53 + 8*579.53}{31} = 373.08[/tex]
So in August, her average daily balance was $373.08
If you want to learn more about averages, you can read:
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Help me please boghngghjgy
Answer:
224
Step-by-step explanation:
7×8×4= 224 that is the answer
I NEED HELP PLEASE ILL GIVE BRAINLIEST
WHICH GRAPH SHOWS Y = -6
Answer:B
Step-by-step explanation:
Answer: B
Step-by-step explanation:
The line on B is at the Y coordinate -6.
Horizontal is the X
Vertical is the Y
Given \tan A=\frac{11}{60}tanA=
60
11
and that angle AA is in Quadrant I, find the exact value of \cos AcosA in simplest radical form using a rational denominator.
Answer: 60/61
Step-by-step explanation:
The lines represented by the equations y x = 2 and y = x
2 are
Answer: Parallel
Step-by-step explanation:
on a blueprint, the area of a tennis court is 16.25cm². a) if the scale on the blueprint is 1cm: 4m, what is the actual area of the tennis court? b) if the length of the tennis court on the blue priny is 6.25 cm what it the actual length of the tennis court
Step-by-step explanation:
so,
1cm : 4m
that means the factor is 1/400 (as 1 m = 100 cm).
also to remember : 1 m² = 100cm×100cm = 10,000 cm²
the area of a rectangle is
length × width
if both dimensions are shortened by a factor (1/400) in our case :
length×1/400 × width×1/400 =
= length × width × 1/400² = length × width × 1/160,000
that means the area of the actual tennis court is
160,000 times the area of the blueprint picture :
160,000 × 16.25 = 2,600,000 cm² = 260 m²
we now know that the actual length of the tennis court is 400 times the length of the blueprint length :
400 × 6.25 = 2,500 cm = 25 m
There were 6 biscuits in each box. how many biscuits are there in 7 boxes?
There was 42 biscuits in the boxes