Answer:
A. 106
Step-by-step explanation:
Given function that represents the cost of materials to make x shirts,
Also, the function for the selling price of x shirts,
Where,
From equation (1),
( From equation (2) )
For 18 shirts, i.e. x = 18
The selling price would be,
Option 'A' is correct.
-3
2
1
-4
The product pq is irrational.
The product pt is irrational.
The quotient pq is irrational.
The product st is irrational.
The quotient st is rational.
The false statements are:
The product pq is irrational.
The quotient pq is irrational.
The quotient st is rational.
A rational number is a number can be expressed as a fraction of two whole numbers. While, an irrational number is a number that cannot be expressed as the fraction of two whole numbers.
Examples of rational numbers are: 6, 2,3
Examples of irrational numbers are: √2, √3
Let p and q be represented with 2 and 6 respectively.
The product of 2 and 3 = 2 x 6 = . The number is a rational number
Let p and t be represented with 2 and √2 respectively.
The product of 2 and √2 = 2 x√2 = 2√2. The product is irrational
The quotient of pq = 6 /2 = 3.
The quotient is rational.
Let s and t be represented with √2, √3. The product is √2 x √3 = √6. The product is irrational.
The quotient of s and t = √2 /√3.
The number is irrational.
To learn more about rational numbers, please check: brainly.com/question/15815501?referrer=searchResults
Answer:
The false choices are A, C, and E
Step-by-step explanation:
Let's make an example:
p=1
q=2
s=sqrt(3)
t=sqrt(6)
Since pq=1*2=2, the answer is rational and A is false.
Since pt=1*sqrt(6)=sqrt(6), the answer is irrational and B is true.
Since p/q=1/2=0.5, the answer is rational and C is false.
Since st=sqrt(3)*sqrt(6)=sqrt(18), the answer is irrational and D is true.
Since s/t=sqrt(3)/sqrt(6)=sqrt(1/2), the answer is irrational and E is false.
Answer:
Poor Alex, I know how they feel, I got a dog myself.
The amount of time between
11:41 pm to 12:09 am is
19 minutes (to 12 am, 60 minutes to next hour) + 9
which is 28 minutes for the first dog barking session
the second time is 35 minutes,
using same method as before.
adding the two separte barking sessions we get
35+28= 63 minutes
which is equivelant to 1 hour and 3 minutes.
In conclusion the dog barks for 1 hour and 3 minutes in total.
2X+3y=432 and 5x-2y=16
Answer:
c(x) = –8x^2 + 3x – 5 is a quadratic function.
Step-by-step explanation:
At first, we will define what a quadratic function is.
A quadratic function is a polynomial with one or more variables with degree 2.
So, from the given functions
a(x) = -2x^3+ 2x – 6 has highest degree 3. So it is not a quadratic function.
b(x)=5x^3 + 8x^2 + 3 has highest degree 3. So it is not a quadratic function.
c(x) = –8x^2 + 3x – 5 has highest degree 2. So it is a quadratic function.
d(x) = 6x^4 + 2x – 3 has highest degree 4. So it is not a quadratic function.
Answer:
Step-by-step explanation:
-8
-6
-2
Answer:
-6
Step-by-step explanation:
The y-coordinate of B is 2. Adding -8 to it makes the y-coordinate of B' be -6.
2 -8 = -6
Answer:
Step-by-step explanation:
The given translation is
Which means that the original figure will be moved 3 units to the right and 8 units downwards.
Remember, when it comes to translations, when we subtract units to that means the figure will be moved rightwards. And if we subtract units from , that means the figure will be moved downwards.
So, the original figure has as vertex B(1,2). If we apply the transformation to its vertical cordinate , we would have
Therefore, the right answer is the third choice -6.