X_>-2*4
x_>-8
Answer: x> -8
Answer:
y > x + 1 ; y ≤ 10 ; x ≥ 0
Step-by-step explanation:
First, we need to get the equation of the straight line. The equation of the straight line is expressed as y = mx+c
m is the slope
c is the y-intercept
Using the coordinate points (0, 1) and (1,2)
m = (2-1)/(1-0)
m = 1/1 = 1
y-intercept c = 1 (the point where the line cuts the y-axis)
Substitute;
Since y = mx+c, then y = 1x + 1
y = x+1
Since the line is a broken line and shaded above, then y > x+1
Also, the point shaded on the graph indicates y ≤ 10 ; x ≥ 0
Answer:
The rate at which the account pay the deposit is 2 %
Step-by-step explanation:
Given as :
The principal amount deposited in account = $2100
The rate of interest = r % simple interest annually
The time period = 11 months =
year
The amount received = $2138.50
Now<u>, From Simple Interest method </u>
Simple Interest = 
Or, Interest = 
Or, Interest = 
Or, Interest = 19.25 r
Now, Interest = Amount - Principal
So, 19.25 r = $2138.50 - $2100
Or, 19.25 r = $38.5
∴ r = 
I.e r = 2
So, rate of interest = r = 2 %
Hence The rate at which the account pay the deposit is 2 % Answer
A statement that is assumed to be true without proof is a(n) Theorem
A statement that has been shown to be true by vigorous application of logic is a(n) ---> Conjecture
A(n) Axiom is a statement that is believed to be true but hasn't been proven.
<h3 /><h3>What's the big difference between a definition and a theorem?</h3>
A definition is both a precise and a general statement of the significance of a mathematical term.
It does this by laying down all of the characteristics of the word together with the structures that need to be true.
This is how the meaning of the word is defined. A mathematical assertion that can be demonstrated using logically sound mathematical reasoning is called a theorem.
Read more about theorem
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5.68 x 6.02 ( 10^9)
same base 10 so add the exponent together