Answer:
[tex]g(x)=5.4x+3[/tex], graph of f(x) vertically compressed by factor 0.6 to get g(x).
Step-by-step explanation:
The given function is
[tex]f(x)=9x+5[/tex]
It is given that the graph of a function g is a transformation of the graph of
f (x), where g(x) is 60% of f(x). So, we need to write a rule for g.
[tex]g(x)=60\%\text{ of }f(x)[/tex]
It means graph of f(x) vertically compressed by factor 0.6 to get g(x).
[tex]g(x)=\dfrac{60}{100}(9x+5)[/tex]
[tex]g(x)=0.6(9x+5)[/tex]
[tex]g(x)=0.6(9x)+0.6(5)[/tex]
[tex]g(x)=5.4x+3[/tex]
Therefore, [tex]g(x)=5.4x+3[/tex]. Graph of f(x) vertically compressed by factor 0.6 to get g(x).
A student has 8 pints of iced tea in a pitcher. The amount of iced tea in the pitcher is a function of x, the amount of iced tea she has poured from the pitcher, y. What is the domain of this function? a \large 0\le x\le8 b \large \left\{1,2,3,4,5,6,7,8\right\} c \large 0\le y\le8 d \large \left\{0,1,2,3,4,5,6,7,8\right\}
Answer: The domain is:
0 pints ≤ x ≤ 8 pints.
Step-by-step explanation:
When we have a function:
y = f(x)
The domain is the set of the possible values of x (the possible inputs).
In this case, the value of x represents the amount of tea that she has poured from the pitcher.
Now, initialy the pitcher has 8 pints, so the smallest possible value of x is 0 pints (when she has not pured anithing) and the maximum value of x is 8 pints (when she has poured all the 8 pints).
So we have the domain:
0 pints ≤ x ≤ 8 pints
Joe and Susan were arguing about how
many basic operations existed in math. Joe
argued that there are only 4 operations (addition,
subtraction, multiplication, and division). Susan
disagreed and said there are only 2 operations.
She made a case that when you subtract its just
adding a negative and when you divide its
multiplying by a fraction. Do you agree with
Susan? What is your opinion on this matter?
Answer:
The correct number of basic operations that exist in mathematics is four (addition, subtraction, multiplication and division) because the definition of an operation is the carrying out of a task by the application of principles and these four operation are arithmetic operations that have precedence rules or order of operations, such that we must first multiply or divide before adding or subtracting
Division is different from simply multiplying by a fraction because in Euclidean division, the result is a quotient and a remainder, which shows that division can yield more than one result while multiplication yields a single result
For subtraction and addition, one of the differences is that subtraction cannot be simply commuted
a - b = -(b - a)
Subtraction is non-associative;
a - b - c when arranged as (a - b) - c and a - (b - c), can yield different results depending on operation order which is unlike addition
Therefore, the four basic operations in mathematics are addition, subtraction, multiplication and division
Step-by-step explanation:
how do you solve this
Answer:
4x^-4/9y^6
Step-by-step explanation:
If the exponent is outside the bracket, it means that all the terms inside will be raised to that exponent. This means that:
(2x^-2 / 3y^3)^2 = 2^2*(x^-2)^2 / 3^2*(y^3)^2
When exponents are raised to an exponent, the exponents are multiplied together, so (x^-2)^2 will = x^(-2*2) = x^-4
Going through:
2^2*(x^-2)^2 / 3^2*(y^3)^2
=4*x^-4 / 9*y^6
=4x^-4/9y^6
Hope this helped!
Central Park in New York City is shaped like a rectangle. On a map of the park in the coordinate plane, three of the vertices are located at (-1.25,-0.25) (-1.25, 0.25), and (1.25, 0.25). Distances on the map are in miles. What is the perimeter of Central Park? Show your work.
Is this for the connect it math page I’m stuck on it too
Cooper's account
went into overdraft. To get back to a positive balance, he deposited money at a steady
rate of $23.34 per week. After 6 weeks, he had $102.56 in the account. What was the
balance when the account went into overdraft?
Answer:
the balance was when the account went into overdraft : 37.48 dollars
Step-by-step explanation:
deposit 23.34 for six weeks : 140.04 dollars
140.04-102.56 =37.48 the
the balance was when the account went into overdraft : 37.48 dollars
Anyone help pls because this is confusing
Answer:
it is a 25 feet below sea level
Step-by-step explanation:
when you are below sea level you are a negative instead of a postive on sea level
Kira received a $20.50 gift card for a photo center. She used it to buy prints that cost 6 cents each. The remaining balance, B (in dollars), on the card after buying x prints is given by the following. B = 20.50 - 0.06x What is the remaining balance on the card if Kira bought 50 prints?
Answer:
Did you check and see if anybody asked this question before on google
Step-by-step explanation:
{(1,3), (2, 5), (3,-4), (4, -3), (5, -1)} The above is DONE
Function or not a Function?
Answer:
Yes it is a Function
Step-by-step explanation:
Because there are no same x-values with the same y-values
brainliest for correct answer
Answer:
x=16 y=25 z=14.2
Step-by-step explanation:
Answer:
Step-by-step explanation:
x=16
what is 5.267 in word form
Answer:
five and two hundred sixty-seven thousandths
Step-by-step explanation:
Answer: Five and Two hundred sixty-seven thousandths.
Anything number that has a decimal you must have and.
Put a decimal in word form the word and becomes the decimal.
Any number without a decimal you do not need to put and.
So if 5.267 was actually 5,267 you'll just say five thousand two hundred sixty-seven.
The sum of 3 times a number and 5 is 7 Write this as an expression. NEED ASAP
Answer:
(3x • 5 = 7)
your welcome
Your town got 3.44 inches of rain in June, 5.07 inches in July, and 4.28 inches in August. What was the average rainfall over these three months?
Answer:
4.4366
Step-by-step explanation:
3.44+5.07+4.28=13.31
13.31/3=4.4366
hope this helps
Which part of an atom is empty space?
Answer:
the part between the atom and the nucleus
Solve F(x) for the given domain. Include all of your work in your final answer. Submit your solution. F(x) = x2 + 3x - 2
Answer:
F(a) = a² + 3a - 2
F(x-1) = x² + x -4
Step-by-step explanation:
Note:
Domain is missing, assume domain
F(a)
F(x-1)
Given:
F(x) = x² + 3x - 2
Computation:
1. F(x) = x² + 3x - 2
So,
⇒ F(a) = a² + 3a - 2
2. F(x-1) = (x-1)² + 3(x-1) - 2
F(x-1) = x² + 1 -2x + 3x - 3 - 2
F(x-1) = x² + x -4
If the mean score on a stress test is 5, the standard deviation is 2, and the distribution is normal, what would be the mean value when converted to a z distribution
Answer: 0
Step-by-step explanation:
Given that :
Mean score on test = 5
Standard deviation on test = 2
Distribution = normal
The mean value when Converted to a z - distribution :
Zscore = (x - mean) / standard deviation.
Hence z score for the mean score will be :
X = mean score
Zscore = ( 5 - 5) / 2
Zscore = 0 / 2
Zscore = 0
Mean value when Converted to a z distribution will be 0
48(13/24)
multiply 48 and 13 over 24
Answer:
when 48 multiply by 24 the answer is 1152
when 13 multiply by 24 the answer is 312
Determina si el número 2,340 es divisible por 2,3,5,9,y 10. Explica tu respuesta.
Answer: The number 2340 is divisible by 2,3,5,9 and 10
=====================================================
Here's why
2340/2 = 1170 is a whole number, so it is divisible by 2
Note how the last digit is an even number, so overall the number is even and divisible by 2
---------------
Add the digits of the given number to get 2+3+4+0 = 9, showing that it is both divisible by 3 and also divisible by 9. If the digits add to a multiple of 3, then it is divisible by 3. If the digits add to a multiple of 9, then it is divisible by 9. Basically anything divisible by 9 is automatically divisible by 3 as well.
We can see we get whole number results shown below
2340/3 = 780
2340/9 = 260
---------------
The last digit is 0, so 2340 is a multiple of 10. It is also a multiple of 5 because 10 = 5*2
And we can see that
2340/5 = 468
2340/10 = 234
Showing 2340 is a multiple of 5 and 10.
What is the least common multiple of 5, 10, and 12? What is the least common multiple of 6, 10, and 12? What is the least common multiple of 2, 4, and 9? help:(
Answer:
LCM of 5, 10, and 12 is 60
6, 10, and 12 is 60
2, 4, and 9 is 36
1. Again we have two methods, A and B, available for teaching a certain industrial skill. There is an 80% chance of successfully learning the skill if method A is used, and a 95% chance of success if method B is used. However, method B is substantially more expensive and is therefore used only 25% of the time (method A is used the other 75% of the time).
A worker learned the skill successfully. What is the probability that he was taught by method A?
2. Again we have two methods, A and B, available for teaching a certain industrial skill. There is an 80% chance of successfully learning the skill if method A is used, and a 95% chance of success if method B is used. However, method B is substantially more expensive and is therefore used only 25% of the time (method A is used the other 75% of the time).
What does a correct probability tree for this problem look like?
Answer:
The probability that a worker was taught by method A given that he learned the skill successfully is 0.72.
Step-by-step explanation:
(1)
The information provided is:
A = if method A is used
B = if method B is used
S = successfully learning the skill
P (A) = 0.75
P (B) = 0.25
P (S|A) = 0.80
P (S|B) = 0.95
Compute the probability that a worker was taught by method A given that he learned the skill successfully as follows:
[tex]P(A|S)=\frac{P(S|A)P(A)}{P(S|A)P(A)+P(S|B)P(B)}[/tex]
[tex]=\frac{0.80\times 0.75}{0.80\times 0.75+0.95\times 0.25}\\\\=\frac{0.60}{0.60+0.2375}\\\\=\frac{0.60}{0.8375}\\\\=0.716418\\\\\approx 0.72[/tex]
Thus, the probability that a worker was taught by method A given that he learned the skill successfully is 0.72.
(2)
The probability is attached below.
On a test of 80 problems, Bill got 75% of the problems correct. How many question did he get correct?
Answer: 60
Step-by-step explanation:
75% of 80 is 60.
Multiply 80 by .75 to get the answer.
How many question he got correct is 60
Given:
Test = 80 problems,
Correct Answer=75%
Now let calculate How many question he got correct
Numbers of correct question=80×0.75
Numbers of correct question=60
Inconclusion How many question he got correct is 60.
Learn more here:
https://brainly.com/question/20981909
what goes in the green box and what is 6 * 28
Point P is 1/4 of distance from A (-8,-4) to
B (4,0)
Answer:
√10
Step-by-step explanation:
A (-8,-4) to B (4,0) is distance d
d=√(x2-x1)²+(y2-y1)²
d=√(4-(-8))²+(0-(-4))²
d=√12²+4²
d=√144+16 =√160
d=√16*10=4√10
p is 1/4 of distance = 1/4(4√10)=√10
0
need help with this answer
Answer:
which one?
Step-by-step explanation:
Answer:
There is no question
Step-by-step explanation:
Is the product of 2x - 5 and 3x2 + 5x - 7 equal to the product of 5x – 2 and 3x2 + 5x - 7? Explain your answer.
Answer:
see I need help for chemistry pls anyone here helps me I must submit before 10:30
A cashier has a total of 30 bills , consisting of $1 bills, $5 bills and $20 bills. The total dollar amount of these bills is $351. There are nine more $20 bills than $1 bills. How many of each bill denomination are there ?
Answer:
Five= 9 One= 6 Twenty= 15
Step-by-step explanation:
A cashier has a total of 30 bills, made up of ones, fives, and twenties.
o+f+t=30,
The number of twenties is 9 more than the number of ones.
t=9+o,
The total value of the money is $351.
o+5f+20t=351
so we have
o+f+t=30, t=9+o,
o+5f+20t=351
f = 9, o = 6, t = 15
p − (9 − (m + q)); use m = 4, p = 5, and q = 3
Answer:
3
Step-by-step explanation:
Put the numbers where the variables are and do the arithmetic.
5 − (9 − (4 + 3))
= 5 -(9 -7)
= 5 -2
= 3
Kami is cooking dinner for a family reunion that 21 people are attending. If her recipe calls for 1.6 ounces of ground beef per person, how much beef does Kami need altogether?
Answer:
Kami will need 33.6 ounces of ground beef for the recipe
Step-by-step explanation:
From the problem, we know that one person will use up 1.6 ounces of ground beef. We also know that there are 21 people that will be attending the party. Each of those 21 people will definitely use up 1.6 ounces of ground beef.
Hence, for the recipe to be perfect, Kami will have to use 21 X 1.6 ounces = 33.6 ounces of ground to make the recipe for the entire dinner.
Which strategie would eliminate a variable in the system of equations? −x+6y=8 7x−y=−2
Answer:
substitution (or addition)
Step-by-step explanation:
A simple strategy for this system is to use substitution. The first equation is easily solved for x, so you could substitute that into the second equation:
x = 6y -8
7(6y -8) -y = -2 . . . . . x variable eliminated
__
The second equation is easily solved for y, so you could substitute that into the first equation.
y = 7x +2
-x +6(7x +2) = 8 . . . . . y-variable eliminated
__
The "addition" method is always a good way to eliminate a variable.
When the coefficient of a variable in one equation is a divisor of the coefficient of that variable in the other equation, a simple multiplication and addition will do.
To make the coefficient of x in the first equation the opposite of the coefficient of x in the second, multiply the first equation by 7. Adding that result to the second equation will eliminate x:
7(-x +6y) +(7x -y) = 7(8) +(-2)
42y -y = 56 -2 . . . . . . x-variable eliminated
Likewise, the second equation can be multiplied by 6 and added to the first to eliminate the y-variable:
(-x +6y) +6(7x -y) = (8) +6(-2)
-x +42x = -4 . . . . . . . . y-variable eliminated
__
It is often the case that using either substitution or "addition" requires about the same amount of work.
Here, the solutions are (x, y) = (-4/41, 54/41).
write an algorithm that outlines how to bake a birthday cake
Answer:
Start
Collect the ingredients
Mix the ingredients in a bowl to make the batter
Preheat the oven
Grease the baking pan with oil
Pour the batter into the baking pan
Place the pan into the oven
Set a timer
Bake the cake
Check the cake if needed
Take the baking pan out of the oven when the timer turns off
Cool the cake and slice it
Stop
Step-by-step explanation:
The first thing to do is to gather the ingredients of cake like flour, sugar, butter, eggs etc.
Next thing is to mix all the ingredients together to make a mixture of cake.
Next task is to pre-heat the over for example pre-hear the oven to 320°F
Next task is to pour the prepared mixture in to a pan before baking it.
Now place the pan into the oven for baking.
Now set a timer for baking the cake.
You can check if the cake is being baked rightly in between the baking process.
Take the baking pan out of the oven when the timer ends
Place the baking pan to cool it and then cut the cake in to slices.
Enjoy eating!
Need help as soon as possible
Answer:
D. 70
Step-by-step explanation:
if vx is bisector then 3z - 4 = z + 6 add like terms
2z = 10;and z = 5
To find the perimeter we add all side lengths
VU + UW + WV = 5z - 1 + 5z - 1 + 3z - 4 + z + 6 = 14z
we know z = 5 so 14 × 5 = 70