Answer:
The function f(x) is not given, I used a different function but the approach and steps is the same .
Step-by-step explanation:
- Given the function f(x) = 2x2 - 8x + 5
compare with the normal quadratic equation ; ax2 + bx + c = f(x)
- since a is greater than zero i.e a > o {positive}
As such, it has a minimum
hence for minimum value; x = -b/2a
x = -(-8)/2 x 2
x = 8/4 = 2
plugging the values of x in f(x) ; f(2) = 2(2)^2 -8(2) + 5
f(2) = -3, hence it has minimum value and the minimum value is -3
Answer:
Step-by-step explanation:
In order to determine the number of
tiles she will need to cover the pyramid, we would apply the formula for determining the total surface area of a pyramid. It is expressed as
Total surface area = 1/2 × p × l + base area
Where
p represents the perimeter of the base
l represents the slant height of the triangular face
Since the base is a square, the perimeter, p is
12 × 4 = 48 feet
l = 15 feet
Base area = 12² = 144 ft²
Total surface area = (1/2 × 48 × 15) + 144 = 504 ft²
Since the artist decides to cover the metal structure with 1-foot square glass tiles, the number of tiles needed is
504/1 = 504 tiles
Answer:
80
Step-by-step explanation
Write down the equation: (15 / 100) * x = 12
Solve for x: x = 12 / (15 / 100)
x = (12 * 100) / 15
or, x = 80
Hope this helps!
Answer:
C. x ≥ -4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
-10x ≤ 40
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Division Property of Equality] Divide -10 on both sides: x ≥ -4
Answer:
3) 1 5/6 mi
4) a. 4 cm, 6 ft
b. 6.4 cm, 9.6 ft
c. same as part a
Step-by-step explanation:
3) Each of the given distances appears twice in the sum of side measures that is the perimeter. Hence by walking the perimeter twice, Kyle walks each of the given distances 4 times. His total walk is ...
4×1/3 + 4×1/8 = 4/3 + 4/8
= 1 1/3 + 1/2 = 1 2/6 + 3/6
= 1 5/6 . . . . . miles
___
4) Since the figure is rectilinear (all angles are right angles, and all sides are straight lines), the sum of partial dimensions in one direction is equal to the whole dimension in that direction.
a. 8 cm = 4 cm + x
8 cm - 4 cm = x = 4 cm
The distance in the room is ...
(4 cm)×(1.5 ft/cm) = 6 ft
b. 10.3 cm = 3.9 cm + y
10.3 cm - 3.9 cm = y = 6.4 cm
The distance in the room is ...
(6.4 cm)×(1.5 ft/cm) = 9.6 ft
c. The answer to part b was obtained in the same way as the answer to part a. The unknown dimension is the difference of given dimensions. The actual length in the room is the model length multiplied by the inverse of the scale factor.
