F(x)=x^2+bx-16
x=5
F(5)=5^2+b(5)-16
=25+5b-16=0
=5b+9=0
=5b=-9
=b= -9/5
By remainder theorem
Answer:
(a) 3
(b) 4
(c) 3
Step-by-step explanation:
To find the number of significant figure, ignore all zeros on the left and count the remaing digits.
(a) ignore 0.0, so 590 is 3 s. f.
(b) no zeros to the left, so 4 s. f.
(c) ignore 0.00, so 122 is 3 s. f.
Answer:
1000 : 269 : 47
Step-by-step explanation:
A ratio is a way of comparing the value or amount of one quantity to another.
We are to find the ration of water to sucrose to saline solution, hence, it must remain in that order.
Water : Sucrose : Saline solution
The amount of water is 1 litre (1 * 1000 ml = 1000 ml)
The amount of sucrose is 269 ml
The amount of saline solution is 47 ml
Therefore, the ratio of water to sucrose to saline solution is:
W : S : SS = 1000 : 269 : 47
Since 1000, 269 and 47 have no common factors, that is the simplest form of the ratio.
Answer:
144, 36, 9, 2 
Step-by-step explanation:
The recursive formula allows us to find a term in a sequence from the previous term.
Given
= 
Given the fourth term we require to work back to the third term , second and so on. Rearrange the formula to give
Multiply both sides by 4, then
= 4
Given a₄ = 2 , then
a₃ = 4 × a₄ = 4 × 2 = 9
a₂ = 4 × a₃ = 4 × 9 = 36
a₁ = 4 × a₂ = 4 × 36 = 144
Answer:
f⁻¹(x) = x - 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Functions
- Function Notation
- Inverse Functions
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = x + 3
<u>Step 2: Find</u>
- Swap: x = y + 3
- [Subtraction Property of Equality] Isolate <em>y</em>: x - 3 = y
- Rewrite: f⁻¹(x) = x - 3
