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slega [8]
3 years ago
14

Jackson was selling cups of lemonade. On Saturday, he sold a total of 14 cups. On Sunday he sold cups at a steady rate of 3 cups

per hour. Set up and solve an equation to find how many hours, h, it took Jackson to sell 47 cups (including those from Saturday).
Mathematics
2 answers:
Troyanec [42]3 years ago
4 0

Answer:

15 days

Step-by-step explanation:

Shtirlitz [24]3 years ago
3 0

Answer:

(47-14) h ÷ 3 =11

Step-by-step explanation:

47-14=33

33 divided by 3 is 11

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Tems11 [23]

Answer:

Two rays conjoined with a vertex

In Geometry, an angle is when two rays intersect/conjoin with a vertex. The answer is Two rays conjoined with a vertex. Hope it helps!

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3 years ago
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3. How is the Fundamental Theorem of Algebra true for quadratic polynomials?
myrzilka [38]

Answer:

Step-by-step explanation:

Theorm-The Fundamental Theorem of Algebra: If P(x) is a polynomial of degree n ≥ 1, then P(x) = 0 has exactly n roots, including multiple and complex roots.

Let's verify that the Fundamental Theorem of Algebra holds for quadratic polynomials.

A quadratic polynomial is a second degree polynomial. According to the Fundamental Theorem of Algebra, the quadratic set = 0 has exactly two roots.

As we have seen, factoring a quadratic equation will result in one of three possible situations.

graph 1

The quadratic may have 2 distinct  real roots. This graph crosses the

x-axis in two locations. These  graphs may open upward  or downward.

graph 2

It may appear that the quadratic  has only one real root. But, it  actually has one repeated root.  This graph is tangent to the x-axis  in one location (touching once).

graph 3

The quadratic may have two  non-real complex roots called  a conjugate pair. This graph will  not cross or touch the x-axis, but  it will have two roots.

6 0
3 years ago
The measure of an angle is 166°. What is the measure of its supplementary angle?
Darina [25.2K]

Answer:

14 degrees

Step-by-step explanation:

Supplumentry angles add up to 180 degrees.

180 - 166 = 14 degrees

5 0
3 years ago
A piece of wire of length L will be cut into two pieces, one piece to form a square and the other piece to form an equilateral t
inn [45]

Answer:

  (a)  square: L; triangle: 0.

  (b)  square: L·(-16+12√3)/11; triangle: L·(27-12√3)/11

Step-by-step explanation:

<u>Strategy</u>: First we will write each area in terms of its perimeter. Then we will find the total area in terms of the amount devoted to the square. Differentiating will give a way to find the minimum total area.

__

In terms of its perimeter p, the area of a square is ...

  A_square = p^2/16

In terms of its perimeter p, the area of an equilateral triangle is ...

  A_triangle = p^2/(12√3)

Then the total area of the two figures whose total perimeter is L with "x" devoted to the square is ...

  A_total = x^2/16 + (L-x)^2/(12√3)

__

(a) We know when polygons are regular, the one with the most area for the least perimeter is the one with the most sides. Hence, the total area is maximized when all of the wire is devoted to the square.

__

(b) The derivative of A_total with respect to x is ...

  dA/dx = x/8 -(L-x)/(6√3)

This will be zero when ...

  x/8 = (L-x)/(6√3)

  x(6√3) = 8L -8x

  x(8 +6√3) = 8L

  x = L·8/(6√3 +8) = 8L(6√3 -8)/(64-108)

  x = L·(12√3 -16)/11

The total area is minimized when L·(12√3 -16)/11 is devoted to the square, and the balance is devoted to the triangle.

5 0
3 years ago
Below are the graphs of the functions y=2x and y3x What is the same about both lines?​
Yanka [14]
C they rise upward toward the right
5 0
2 years ago
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