Make an inequality representing both constraints.
0.5x+y<20
x+y≥24
Answer:
see below and attached
Step-by-step explanation:
To solve a system of quadratic equations:
- Equal the equations then rearrange so that it is set to zero.
- Use the quadratic formula to solve.
I have done this (see attached workings) but cannot get any of the solutions you've provided. I have even graphed the two functions, and the points of intersection concur with my workings (see attached graph).
Answer:
a) Michiko needs to buy 18 tins of paint.
b) cost of paint would be $152.82
Step-by-step explanation:
Surface area of cuboid = 2lw + 2lh + 2hw
Length (l) = 2.4 m
Width (w) = 1.2 m
Height (h) = 0.6 m
SF = 2(2.4 × 1.2) + 2(2.4 × 0.6) + 2(0.6 × 1.2)
= 5.76 + 2.88 + 1.44
= 10.08 meter²
Paint coverage is 4.5 meter² per liter.
Total paint used in one coat =
= 2.24 liters
Paint used in double coats = 2.24 × 2 = 4.48 liters
a) Size of one tin paint = 250 ml
1 liters = 1000 ml
4.48 liters = 4.48 × 1000 = 4480 ml
Number of tins needed by Michiko =
= 17.92 ≈ 18 tins
b) Cost of one tin of metal paint = $8.49
∴ cost of 18 tins of paint = $152.82
a) Michiko needs to buy 18 tins of paint.
b) cost of paint would be $152.82
Part 1: The general form for this matches y^2 = -4cx, which implies that this opens to the left. (Imagine assigning any value of y, whether positive or negative, which would result in a positive left-hand value. Then to match this sign, the value of x must be negative so that the right-hand side becomes positive as well.)
Part 2: The distance from the vertex to the directrix is given by c. This equation has its vertex at the origin (0, 0). If it opens to the left, the directrix is a vertical line to the right of the origin. This equation is y^2 = -4(1/2)x, so c = 1/2, and the directrix has the equation x = 1/2.
Part 3: The focus is inside the parabola, but it is the same distance from the vertex as the directrix. This distance is 1/2 units, and it will be to the left of the vertex. So the focus is at (-1/2, 0).
Answer:
4 1/6 inches
Step-by-step explanation:
A triangle has sides of LaTeX: 1\frac{1}{6}1 1 6 inches, LaTeX: 1\frac{1}{3}1 1 3 inches, and LaTeX: 1\frac{2}{3}1 2 3 inches. What is the perimeter of the triangle? Make sure your answer is in simplest form.
Perimeter of Triangle = Side a + Side b + Side c
Perimeter of the Triangle =
( 1 1/6 + 1 1/3 + 1 2/3) inches
Lowest common denominator = 6
= 1 + 1 + 1 +(1/6 + 1/3 + 2/3)
= 3 + (1 + 2 + 4/6)
= 3 + 7/6
= 3 + 1 1/6
= 4 1/6 inches
