Answer:
y=\frac{4x}{5}-5
Step-by-step explanation:
linear equation
y=mx+b
We can see that when x=0 y= -5
THis means that b= -5 so we have
y=mx-5
We then know that when x=5 y= -1 so we have
-1=5m-5
Solve this and get m= 4/5
So we have
Not an expertise on infinite sums but the most straightforward explanation is that infinity isn't a number.
Let's see if there are anything we missed:
∞
Σ 2^n=1+2+4+8+16+...
n=0
We multiply (2-1) on both sides:
∞
(2-1) Σ 2^n=(2-1)1+2+4+8+16+...
n=0
And we expand;
∞
Σ 2^n=(2+4+8+16+32+...)-(1+2+4+8+16+...)
n=0
But now, imagine that the expression 1+2+4+8+16+... have the last term of 2^n, where n is infinity, then the expression of 2+4+8+16+32+... must have the last term of 2(2^n), then if we cancel out the term, we are still missing one more term to write:
∞
Σ 2^n=-1+2(2^n)
n=0
If n is infinity, then 2^n must also be infinity. So technically, this goes back to infinity.
Although we set a finite term for both expressions, the further we list the terms, they will sooner or later approach infinity.
Yep, this shows how weird the infinity sign is.
Answer:
SA ≈ 1134 cm²
General Formulas and Concepts:
<u>Math</u>
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
- Radius: r = d/2
- Surface Area of a Sphere: SA = 4πr²
Step-by-step explanation:
<u>Step 1: Define</u>
d = 19 cm
<u>Step 2: Find </u><em><u>SA</u></em>
- Substitute [R]: r = 19 cm/2
- Divide: r = 9.5 cm
- Substitute [SAS]: SA = 4π(9.5 cm)²
- Exponents: SA = 4π(90.25 cm²)
- Multiply: SA = 361π cm²
- Multiply: SA = 1134.11 cm²
- Round: SA ≈ 1134 cm²
Answer:
assuming that the question says "how many games did he not attend" it would be 26
Put the values of x to the equations of the functions:
1. f(9) → x = 9; f(x) = -3x + 10
f(9) = -3(9) + 10 = -27 + 10 = -17
2. f(-2) → x = -2; f(x) = 4x - 1
f(-2) = 4(-2) - 1 = -8 - 1 = -9
3. f(-5) → x = -5; f(x) = -2x + 8
f(-5) = -2(-5) + 8 = 10 + 8 = 18
