Answer:
If ƒ(x ) = 3x + 1, then ƒ(a + h ) - ƒ(a ) = 3h
Step-by-step explanation:
Given ƒ(x ) = 3x + 1, then to calculate ƒ(a + h ) - ƒ(a ), you need to replace "x" for (a + h) and a, respectively.
So...
f(a +h) = 3(a + h) + 1
and
f(a) = 3a + 1
Then
ƒ(a + h ) - ƒ(a ) = 3 (a + h) + 1 - [3a +1] = 3a + 3h + 1 - 3a - 1 = 3h.
So, ƒ(a + h ) - ƒ(a ) = 3h
The vertex is x and the y intercept is 2
Take x common from the denominator
and simplify
Thee diagonal of the rectangle is 13.86 cm long.
<h3>What is the length of the diagonal of rectangle?</h3>
We are given that;
Width of a rectangle is 9 less than twice its length. Thus, if length is L, then;
W = 2L - 9
Area formula for a rectangle is;
A = Length * Width
We are given area of rectangle = 96 cm²
Thus;
L(2L - 9) = 96
2L² - 9L = 96
2L² - 9L - 96 = 0
Using online quadratic equation calculator gives;
L = 9.53 cm
Thus;
W = 2(9.53) - 9
W = 19.06 - 9
W = 10.06 cm
The diagonal of the triangle will be gotten from Pythagoras theorem;
D = √(9.53² + 10.06²)
D = √192.0245
D = 13.86 cm
Thus, we conclude that the diagonal of the rectangle is 13.86 cm long.
Read more about Rectangle Diagonal at; brainly.com/question/7071655
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Answer:
$314
Step-by-step explanation:
1. She has 18 demonstrations, so she got $10 for each of the first 10 to equal $100.
2. She got 8 demonstrations after those 10. For each of those, she gets $15.50. $15.50x8=$124.
3. She had 6 sales. Every sale is $15. $15x6=$90
4. $100+$124+$90 =$314
