Answer:
23
Step-by-step explanation:
f(x)=4-x²
g(x)=6x
g(x)-f(x)=6x-(4-x²)
g(x)-f(x)=6x-4+x²
so, when (g-f)(3), it means that x=3
.:(g-f)(3)=6(3)-4+(3)²
= 18 - 4 +9
=14+9
=23
If she wants one fourth of the dimensions of the room for the corner, that means the area will be 1/16 (one fourth squared) of the whole bedroom. The area of the whole bedroom is 8 x 12 = 96. The area of the corner would be 96 / 16 = 6 sq ft.
Or you can do (one fourth of 8) x (one fourth of 12) = 2 x 3 = 6 sq ft.
Answer:
x ≈ 14.30
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Trigonometry</u>
- sin∅ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Define variables</u>
∅ = 39°
opposite leg = 9
hypotenuse = x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute: sin39° = 9/x
- Multiply <em>x</em> on both sides: xsin39° = 9
- Isolate <em>x</em>: x = 9/sin39°
- Evaluate: x = 14.3011
- Round: x ≈ 14.30
Answer:
19
Step-by-step explanation:
2(8) + 3
16 + 3
19