We substitute the given into the equation
given: a=-1, b=2, c=
=(
-1
=
-1
=
-1
=
-1
to continue, we can either find a common denominator or change the fraction to decimal.
Fraction to Decimal:
=-2.5
Equation=-2.5-1=-3.5
OR Common Denominator:
=
×
(denominator should be -2=common)
=
+
=
which also = to -3.5
Answer:
(f ∘ f)(–1) = –1
Step-by-step explanation:
To solve a composite function, rewrite using brackets and solve from inside to outside.
(f ∘ f)(x) is the same as: f[f(x)]
Given that x = –1 in (f ∘ f)(–1), we are solving for:
f[f(–1)] = ?
Solve for f(–1) inside the square brackets first.
f(x) = x³
f(–1) = (–1)³ Simplify.
f(–1) = –1 Solved the inside.
Substitute f(–1) = –1 into the square brackets.
f[f(–1)] = f[–1]
Now, we can solve the outside.
Solve with the equation of the function, x³.
f[–1] = x³
f[–1] = [–1]³ Substitute x = –1.
f[–1] = (–1)³ Simplify.
f[–1] = –1 Final answer
Replace N with 6
6(6+1)(2(6)+1) / 6
(6*7*13) / 6
546 / 6 = 91
Answer is C
Answer:
<h3>324 ft²</h3>
Step-by-step explanation:
We have the triangle and the rectangle.
The formula of an area of a triangle:
b - base
h - height
The formula of an area of a rectangle:
l - length
w - width
We have b = 24 ft, h = 7 ft, l = 24 ft and w = 10 ft.
Substitute:
The area of the figure:
Substitute:
Answer:
C) √221 units
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra II</u>
- Distance Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-7, 7)
Point (7, 2)
<u>Step 2: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>
- Substitute [DF]:
- Add/Subtract:
- Exponents:
- Add:
