Answer:
(f - g)(x) = -x + 8
General Formulas and Concepts:
- Order of Operations: BPEMDAS
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 2x + 1
g(x) = 3x - 7
(f - g)(x) = f(x) - g(x)
<u>Step 2: Simplify</u>
- Set up: (f - g)(x) = (2x + 1) - (3x - 7)
- Distribute -1: (f - g)(x) = 2x + 1 - 3x + 7
- Combine like terms: (f - g)(x) = -x + 8
Answer:
$39
Step-by-step explanation:
60 x 0.39 = 21
60 - 21 = 39
Kayla bought a necklace on sale for $39.
Answer:
.3
Step-by-step explanation:
1a:
580 - (580 × .1) - 20
580 - (58) - 20
522 - 20
502
1b:
990 - (990 × .25) - 20
990 - (247.5) - 20
742.5 - 20
722.5
I'm not sure how to solve #2.
Answer: b) two sides and the included angle are congruent
<u>Step-by-step explanation:</u>
RS = QS SIDES are congruent
∠PSR ≡ ∠PSQ ANGLES are congruent
PS = PS SIDES are congruent
ΔPSR ≡ ΔPSQ by the Side-Angle-Side (SAS) Congruency Theorem
Since we know the triangles are congruent, we can state that their parts are congruent:
Congruent-Parts of-Congruent-Triangles are-Congruent (CPCTC)