Answer:
15 items Emma packed in the bag .
#Hope it helps!!
Answer:
x = -6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
5x - 6 = 4x - 12
<u>Step 2: Solve for </u><em><u>x</u></em>
- Isolate <em>x</em> terms: x - 6 = -12
- Isolate <em>x</em>: x = -6
Answer:
$84 per person because if multiply 84 by 4 its 168
704 cm
Multiply 16 by 14
then subtract 14 from 38 which gives you 24
Multiply 24 by 20
Answer:
![L(x)=4-x](https://tex.z-dn.net/?f=L%28x%29%3D4-x)
![L(3.9)=0.1\\L(3.99)=0.01](https://tex.z-dn.net/?f=L%283.9%29%3D0.1%5C%5CL%283.99%29%3D0.01)
Step-by-step explanation:
The linear approximating polynomial is: ![L(x) = f(a) + f'(a)(x - a)](https://tex.z-dn.net/?f=L%28x%29%20%3D%20f%28a%29%20%2B%20f%27%28a%29%28x%20-%20a%29)
Given:
at a=0
f(0)=4-0=4
f'(x)=-1, Therefore: f'(a)=-1
Therefore, the linear approximation of f(x) at a=0 is:
![L(x) = f(0) + f'(a)(x - 0)\\L(x)=4-x](https://tex.z-dn.net/?f=L%28x%29%20%3D%20f%280%29%20%2B%20f%27%28a%29%28x%20-%200%29%5C%5CL%28x%29%3D4-x)
We then use our result to approximate 3.9 and 3.99.
![L(3.9)=4-3.9=0.1\\L(3.99)=4-3.99=0.01](https://tex.z-dn.net/?f=L%283.9%29%3D4-3.9%3D0.1%5C%5CL%283.99%29%3D4-3.99%3D0.01)