Answer:
1301
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
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 35x + 25
g(x) = 22x + 18
f(4) is <em>x</em> = 4 for function f(x)
g(10) is <em>x</em> = 10 for function g(x)
<u>Step 2: Find Function Values</u>
<em>f(4)</em>
- Substitute in <em>x</em> [Function f(x)]: f(4) = 35(4) + 25
- Multiply: f(4) = 140 + 25
- Add: 165
<em>g(10)</em>
- Substitute in <em>x</em> [Function g(x)]: g(10) = 22(10) + 18
- Multiply: g(10) = 220 + 18
- Add: g(10) = 238
<u>Step 3: Evaluate</u>
- Substitute in function values: 5(165) + 2(238)
- Multiply: 825 + 476
- Add: 1301
Answer:
y = -3/4x -4
Step-by-step explanation:
3x+4y=-16
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
Subtract 3x from each side
3x -3x+4y=-3x-16
4y = -3x-16
Divide each side by 4
4y/4 = -3x/4 - 16/4
y = -3/4x -4
The rule (x, y) ⇒ (x-2, y+3) will translate the way you want.
So we see the pythagorean theorem
a^2+b^2=c^2
diagonal=c
width=a or b, pick one
width=a
legnth=b
width is 5 times more than 2 times legnth of garden
w=5(2legnth)
this doesn't make sense since the legnth is normally longer than the width, but we'll stick with that
w=5(2l)
w=10l
a=10b
(10b)^2+b^2=90^2
100b^2+b^2=8100
101b^2=8100
divide by 101
b^2=80.198 aprox 80.2
square root
8.95533
legnth of garden =8.96
to find width subsitue
w=10l
w=89.56
legnth=8.96
width=89.56
Hi the answer for your question is 34