Answer:a
Step-by-step explanation:
h(x)=x-12
h(x)=4x-48
h(x)=-1(4x-48)
h(x)=-4x+48
h(x)=48-4x
This is a simple consequence of the Zero-sum problem: https://en.wikipedia.org/wiki/Zero-sum_problem
Answer:
The slope of the line representing the linear function f(x) is determined as
. The function f(x) is decreasing because the slope is less than zero, i.e., m<0.
Step-by-step explanation:
A linear function f(x) is given with two points, (2,3) and (0,4) lying on the line representing f(x).
It is asked to determine the slope of the line and state if the function is increasing or decreasing. of the value of the slope obtained.
Step 1 of 1
Determine the slope of the line.
The points as given in the question are (2,3) and (0,4). Now, the formula for the slope is given as

So, substitute
for
and
respectively, and
for
and
respectively in the above formula. Then simplify to get the slope as follows,
The slope of the line is obtained as
. Now, as
, so the function f(x) is decreasing.
Need more info...........
By applying the definitions of <em>trigonometric</em> functions, the <em>exact</em> values of the sine, secant and tangent of the point on the <em>terminal</em> side are
,
and
.
<h3>How to determine the exact values</h3>
In this question we need to find the exact values of three <em>trigonometric</em> functions associated with the <em>terminal</em> side of an angle. The following definitions are used:
Sine
(1)
Secant
(2)
Tangent
(3)
If we know that x = - 7 and y = 2, then the exact values of the three <em>trigonometric</em> functions:
Sine

Secant

Tangent

By applying the definitions of <em>trigonometric</em> functions, the <em>exact</em> values of the sine, secant and tangent of the point on the <em>terminal</em> side are
,
and
.
<h3>Remark</h3>
The statement reports typing errors, correct form is shown below:
<em>Let (x, y) = (- 7, 2) be a point on the terminal side of θ. Find the exact value of sin θ, sec θ and tan θ.</em>
To learn more on trigonometric functions: brainly.com/question/6904750
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