The value of (f - g)(x) is -x² + 3x + 7.
<h3>What is Function?</h3>
The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here, the given functions are;
f(x) = 3x + 1
g(x) = x² - 6
Now,
(f - g)(x) = f(x) - g(x)
= (3x + 1) - (x² - 6)
= 3x + 1 - x² + 6
(f - g)(x) = -x² + 3x + 7
Thus, the value of (f - g)(x) is -x² + 3x + 7.
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Answer:
Let x represents the number of pants and y represents the number of shirts.
As per the statement:
Since, a clothing store are selling pants for $8.99 and shirts for $3.99
then;
total number of Pants cost is, $8.99x and total number of Shirt cost is, $3.99
Also, it is given that: You can spend as much as $60 and want to buy at least two pairs of pants.
then, we have the equation of inequality;
;......[1] where x, y are natural number.
x-intercept:
Substitute the value y= 0 in [1] and solve for x;
Simplify:
Since, x is in natural number;
Similarly.
For y-intercept:
Substitute the value x= 0 in [1] and solve for x;
Simplify:
Therefore, we have
;
and 
Answer:
78°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relations between angles and sides of a right triangle. In particular, ...
Cos = Adjacent/Hypotenuse
cos(F) = FG/FE = 1.5/7.5 = 0.2
The inverse cosine function is used to find the angle:
∠F = arccos(0.2)
∠F ≈ 78°
Rate of discount = (old price - new price)/old price x 100 = (1280 - 1030)/1280 x 100 = 250/1280 x 100 = 19.5%
Amount of discount = old price - new price = $1,280 - $1,030 = $250
