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larisa86 [58]
3 years ago
7

Roger says that the equation x²-12x+36=0 has only one solution, Regina says Roger is wrong and that the fundamental theorem of a

lgebra guarantees that a quadratic equation must have two solutions. Who is correct and why?
Mathematics
1 answer:
solniwko [45]3 years ago
8 0

Answer:

The answer is that Regina is absolutely right

Step-by-step explanation:

Hello!

The answer is that Regina is absolutely right, this is because the fundamental theorem of algebra states that every polynomial equation has the same number of solutions as its highest exponent, for this case it is 2. Therefore, there are two values of X that cause the equation to result in zero

You might be interested in
2.
Pachacha [2.7K]
Answer: 80 pieces of fruit

Explanation:
Let’s find out the amount of trees Mr Champion has.
He has 14 in total. 1 apple tree and 1 plum tree, and the rest are divided evenly among apricot, pear and peach trees. This means:
1 apple tree + 1 plum tree = 2 trees
14 - 2 = 12 trees
12 / 3 (varieties of trees) = 4
In conclusion, he has
1 apple tree, 1 plum tree, 4 apricot, pear and peach trees.

Now let’s go to the section where he picks the fruit.
6 apricots from 4 trees
10 peaches from 4 trees
3 pears from 4 trees
4 apples from 1 tree

This means:
(6 x 4) + (10 x 4) + (3 x 4) + (4 x 1) = total pieces of fruit picked

24 + 40 + 12 + 4 = total pieces of fruit picked

Now, you add up those four numbers, and you have your answer, 80.



Hope this helps!
5 0
3 years ago
Answer the questions please
Drupady [299]

Answer:

4.  988 people

5. a. 7 quarters

    b. 6 quarters 2 dimes 1 nickel

    c. 5 quarters 5 dimes

    d. 4 quarters 7 dimes 1 nickel

1.  $65.65, $5.05

2. $7.70, $15.40

3. a. 7 quarters

    b. 6 quarters 2 dimes 1 nickel

    c. 5 quarters 5 dimes

    d. 4 quarters 7 dimes 1 nickel

4. 31 bags

5. $30, $4.50

Step-by-step explanation:

4. take value times percent.

5. think coins

1. find difference then divide by number of days (13)

2. multiply by 1/3 then find difference.

3. think coins

4. find area then divide by 200

5. just break the problem down and go quarter by quarter.

4 0
3 years ago
Which of the following are the coordinates of the vertex of y = −x2 + 2x + 1? (2, 1) (1, –2) (1, 2) (–2, 1)
IceJOKER [234]

Answer:

C

Step-by-step explanation:

We want to determine the vertex of the quadratic equation:

\displaystyle y = -x^2 + 2x + 1

Recall that the vertex is given by the formulas:

\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)

In this case, <em>a</em> = -1, <em>b</em> = 2, and <em>c</em> = 1.

Determine the <em>x-</em>coordinate of the vertex:

\displaystyle x = -\frac{(2)}{2(-1)} = 1

To determine the <em>y-</em>coordinate, evaluate the function at <em>x</em> = 1:

\displaystyle \begin{aligned} y(1)&= -(1)^2 + 2(1) + 1 \\ &= 2\end{aligned}

In conclusion, the vertex of the quadratic equation is (1, 2).

Hence, our answer is C.

3 0
2 years ago
What is wrong with this problem. 2(n +3) = 2n +3
LekaFEV [45]

Steps to solve:

2(n + 3) = 2n + 3

~Distribute left side

2n + 6 = 2n + 3

~Subtract 6 to both sides

2n = 2n - 3

~Subtract 2n to both sides

n = -3

Best of Luck!

7 0
3 years ago
The length of the hypotenuse of a right triangle is 50 inches. Determine the length of the legs if each leg is the same length.
algol13

Answer:

  25√2 ≈ 35.36 inches

Step-by-step explanation:

The Pythagorean theorem can be used to find the leg length for the given conditions. It tells you the relation between legs a, b, and hypotenuse c is ...

  c² = a² +b²

If a=b, and c=50, this becomes ...

  50² = a² +a²

  1250 = a² . . . . divide by 2

  25√2 = a . . . . take the square root

The length of each leg is 25√2 ≈ 35.36 inches.

4 0
3 years ago
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