Answer:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. A dilation that creates a larger image is called an enlargement. A dilation that creates a smaller image is called a reduction. A dilation stretches or shrinks the original figure.
Given : Anne buys 600 packets of mints.
Given : Of these 600 packets of mints, 34% are small packets and 40% are large packets.
Total % of small and large packets is (34 + 40) = 74%
It means : The remaining percentage is of the medium packets of mints which were brought by Anne.
% of medium packets brought by Anne : (100 - 74) = 26%


Given : Ben buys 400 packets of mints.


It means : The remaining fraction is of the medium packets of mints which were brought by Ben.




Given : Chas buys 210 small packets of mints.
Given : Number of small packets : number of medium packets = 3 : 4



Total number of medium packets of mints brought by these three shop keepers (Anne, Ben, Chas) are :
(156 + 240 + 280)
676
Answer:
f(5) = -74
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = -4x² + 6x - 4
f(5) is x = 5
<u>Step 2: Evaluate</u>
- Substitute: f(5) = -4(5)² + 6(5) - 4
- Exponents: f(5) = -4(25) + 6(5) - 4
- Multiply: f(5) = -100 + 30 - 4
- Add: f(5) = -70 - 4
- Subtract: f(5) = -74
The answer is
![f^{-1}(x) = \sqrt[3]{ \frac{x-3}{6}}](https://tex.z-dn.net/?f=%20f%5E%7B-1%7D%28x%29%20%3D%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7Bx-3%7D%7B6%7D%7D)
Our function is f(x) = 6x³ + 3. We need to find f⁻¹(x)
Step 1: Substitute y for f(x):
y = 6x³ + 3
Step 2: Switch x and y because every (x, y) has its partner (y, x):
x = 6y³ + 3
Step 3: Solve for y:
Answer:
1) y = (-13/6)x + (37/3)
2) -⅔
3) negative
Step-by-step explanation:
1) slope = (1.5-8)/(5-2) = -13/6
y = (-13/6)x + c
x = 2, y = 8
8 = (-13/6)(2) + c
c = 37/3
y = (-13/6)(6) + (37/3) = -⅔
2) y = (-13/6)x + (37/3)
3) since the slope is negative, the association between the variables is negative