Answer:
(1, - 8 )
Step-by-step explanation:
Given that P'( - 6, - 4 ) is the image of P(- 2, 3 )
Then the rule is (x, y ) → (x - 4, y - 7 )
Thus
A(5, - 1 ) → A'(5 - 4, - 1 - 7 ) → A'(1, - 8 )
Answer:
The answer to your question is
a) 400
b) The function has two real solutions (-2 and 8)
Step-by-step explanation:
Process
1.- Discriminant = b² - 4ac
= 12² -4(-2)(32)
= 144 + 256
= 400
2.- Solutions (using the general formula)
x = 
x = 
x = 
x₁ = 
x₂ = 
This function has two real solutions (-2, 8)
Complete factorization of
is
.
Step-by-step explanation:
Given,

Taking 2 common

![2(4x^2-2x-2x+1)\\2[2x(2x-1)-1(2x-1)]\\2(2x-1)(2x-1)\\2(2x-1)^2](https://tex.z-dn.net/?f=2%284x%5E2-2x-2x%2B1%29%5C%5C2%5B2x%282x-1%29-1%282x-1%29%5D%5C%5C2%282x-1%29%282x-1%29%5C%5C2%282x-1%29%5E2)
Therefore;
Complete factorization of
is
.
A = L * W
280 = 14 * A
A = 280 / 14
A = 20
A = 2 tens
Big rectangle: A = 280 + (14 * B)
378 =280 + 14B
14B = 378 - 280
14B = 98
B = 7
So length = 2 tens + 7 = 27
Answer
C. 2 tens + 7 = 27
Answer:
For every 84 pens there are 112 pencils in the box.
Step-by-step explanation:
We are given the following information in the question.
We are given a ratio of pens to pencil is 84 to 112.
Ratio is a relationship between two numbers that helps us to know how first number is related to the second number.
This can be written as: 84 : 112
This can be read as: For every 84 pens there are 112 pencils in the box.
Simplifying the fraction we have:

This ration can be written as 21 : 28 which means for every 21 pens in a box there are 28 pencils in the box.