Answer:
Step-by-step explanation:
Composite numbers are positive numbers that have factors, This means that they are divisible by numbers other than 1 and itself provided that number is a factor of the composite number. They possess at the bearest minimum level, a divisor other than 1 and itself. They are a natural number that is expressible as the product of two(or more) numbers other than 1 and itself.
For example:
4 is a composite number because its factors are 1, 2 and 4 which have another divisor apart from 1 and itself (4). That divisor is 2.
We all know that prime numbers are numbers that can be only be divided by 1 and itself.
Therefore, the sum of two composite number, for example:
4 + 6 = 10, We can now see that 10 is never a prime number.
Answer:
(5/6)
Step-by-step explanation:
Bc (2/3)=0.666666666667....
(2/15)*(4/5) doesn't make 0.666666666667
(4/5)*(5/6)= 0.666666666667
Answer:
8 ≤ u ≤ 12
Step-by-step explanation:
Given:
C = 34.95u +6.25
Where,
u = number of uniforms
what is the domain you of the function for this situation
The number of uniforms depend on the number of players
If there are at least 8 players but not more than 12 players on the volleyball team.
u ≥ 8
u ≤ 12
The domain of the function is
8 ≤ u ≤ 12
Answer:
part A) The scale factor of the sides (small to large) is 1/2
part B) Te ratio of the areas (small to large) is 1/4
part C) see the explanation
Step-by-step explanation:
Part A) Determine the scale factor of the sides (small to large).
we know that
The dilation is a non rigid transformation that produce similar figures
If two figures are similar, then the ratio of its corresponding sides is proportional
so
Let
z ----> the scale factor

The scale factor is equal to

substitute

simplify

Part B) What is the ratio of the areas (small to large)?
<em>Area of the small triangle</em>

<em>Area of the large triangle</em>

ratio of the areas (small to large)

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures
In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In similar figures the ratio of its areas is equal to the scale factor squared
Answer:
B.
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define function</u>
f(x) = 8x + 4
<u>Step 2: Prep</u>
- Rewrite: y = 8x + 4
- Swap <em>x</em> and <em>y</em>: x = 8y + 4
<u>Step 3: Find Inverse (Solve for </u><em><u>y</u></em><u>)</u>
- Subtract 4 on both sides: x - 4 = 8y
- Divide both sides by 8: (x - 4)/8 = y
- Rewrite: y = (x - 4)/8
- Rewrite: f⁻¹(x) = (x - 4)/8