The ordered pair (0,4) does not satisfy the inequality thus, it will be not the solution to the given inequality.
<h3>What is inequality?</h3>
A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.
As per the given inequality,
y ≤ x - 3
Put x = 0
y ≤ 0 - 3
y ≤ -3
Since 4 ≤ -3 is the wrong statement thus it will not satisfy the inequality.
Hence "The ordered pair (0,4) does not satisfy the inequality thus, it will be not the solution to the given inequality".
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Answer:
83
Step-by-step explanation:
The 126 angle is an exterior angle of the triangle.
The 43 and x angles are the two remote interior angles of the 126 angle.
<em>Theorem:</em>
<em>The measure of an exterior angle of a triangle equals the sum of the measures of the remote interior angles.</em>
x + 43 = 126
x = 83
In general, the average rate of change of f (x) on the interval a, b is given by f(b) – f(a) / b – a. The average rate of alteration of a function, f (x) on an interval is well-defined to be the variance of the function values at the endpoints of the interim divided by the difference in the x values at the endpoints of the interval. this is also known as the difference quotient that tells how on average, the y values of a function are changing in connection to variations in the x values. A positive or negative rate of change is applicable which match up to an increase or decrease in the y value among the two data points. It is called zero rate of change when a quantity does not change over time.
Answer:
Step-by-step explanation:
(35 - 20)/20
15/20 = .75
.75 * 100 == 75%
75%
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
• 1 + cot²x = csc²x
Consider the left side
x - x
Factorise as a difference of squares
= (csc²x - cot²x)(csc²x + cot²x)
= (1 + cot²x - cot²x)(csc²x + cot²x)
= csc²x + cot²x
= csc²x + csc²x - 1
= 2csc²x - 1 = right side ⇒ verified