The answer is B good luck bro
Answer:
f(g(4)) = 213
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Functions
- Function Notation
- Composite Functions
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 8x + 5
g(x) = 7x - 2
<u>Step 2: Find f(g(4))</u>
- Substitute in <em>x</em> [Function g(x)]: g(4) = 7(4) - 2
- Multiply: g(4) = 28 - 2
- Subtract: g(4) = 26
- Substitute in function value [Function f(x)]: f(g(4)) = 8(26) + 5
- Multiply: f(g(4)) = 208 + 5
- Add: f(g(4)) = 213
Answer:
x=9
Step-by-step explanation:
4(x-2)=2x+10
<=> 4x-8=2x+10
<=> 2x=18
<=>x=9
Answer:
Step-by-step explanation:
<h3><u>Given:</u></h3>
θ = 71°
Adjacent = AB = 6.3 cm
<h3><u>Required:</u></h3>
Hypotenuse = BC = ?
We will use the trigonometric ratio of cos.
![\displaystyle cos \theta = \frac{Adjacent}{Hypotenuse} \\\\cos \ 71 = \frac{6.3}{BC} \\\\0.33 = \frac{6.3}{BC} \\\\BC =\frac{6.3}{0.33} \\\\\boxed{BC = 19.4 \ cm}\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20cos%20%5Ctheta%20%3D%20%5Cfrac%7BAdjacent%7D%7BHypotenuse%7D%20%5C%5C%5C%5Ccos%20%5C%2071%20%3D%20%5Cfrac%7B6.3%7D%7BBC%7D%20%5C%5C%5C%5C0.33%20%3D%20%5Cfrac%7B6.3%7D%7BBC%7D%20%5C%5C%5C%5CBC%20%3D%5Cfrac%7B6.3%7D%7B0.33%7D%20%5C%5C%5C%5C%5Cboxed%7BBC%20%3D%2019.4%20%5C%20cm%7D%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Solve using substitution in a system of equations.
