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Alex_Xolod [135]
3 years ago
12

Using the discriminant, how many real solutions does the following quadratic

Mathematics
1 answer:
vazorg [7]3 years ago
5 0

Answer:

D one real solution

Step-by-step explanation:

x^2 - 8x + 16 = 0

This is in the form

ax^2 +bx + c = 0

so we can use the discriminant to determine the number of solutions

b^2 -4ac

(-8)^2 -4(1)(16)

64 - 64

0

Since the discriminant is zero, there is one real solution.

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Mitch ordered several baseball hats for 12.65 each and paid $3.99 for shipping. If Mitch spent a total of $130.49, how many base
jek_recluse [69]

Answer:

10

Step-by-step explanation:

Price of baseball hats without shipping = $130.49 - $3.99 = $126.50

Number of baseball hats he ordered: $126.50 ÷ $12.65 = 10

5 0
3 years ago
A suitcase measures 24 inches long and the diagonal is 30 inches long. How much material is needed to cover one side of the suit
azamat

Answer:

I believe you're supposed to solve for the other missing side. If you know a side (a) and the diagonal or also known as the hypotenuse (c), you will be able to solve for the other side using the Pythagorean theorem.

Step-by-step explanation:

a^2+b^2=c^2 Substitute the values for a and c

24^2+b^2=30^2 Solve for the powers

576+b^2=900 Subtract 576 from both sides

b^2=324 Solve for the root of 324

18=b

You would need 18 inches of material to cover one side of the suitcase.

8 0
3 years ago
Please help!! 15 points
zlopas [31]

Answer:

? = 125°

Step-by-step explanation:

The central angle is equal to the measure of the arc that subtends it, thus

? = 125°

3 0
3 years ago
The equation of a parabola is y=x2+6x+9. Write the equation in vertex form.
nignag [31]

Answer:

Step-by-step explanation:

Vertex form is accomplished by completing the square on the quadratic. Do this by first setting the parabola equal to 0 then moving the constant over to the other side:

x^2+6x=-9

Now take half the linear term, square it, and add it to both sides. Our linear term is 6. Half of 6 is 3, and 3 squared is 9:

x^2+6x+9=-9+9

The reason we do this is to create a perfect square binomial on the left:

(x+3)^2=0 (obviously the 0 results from the addition of 9 and -9). Move the 0 back over to the other side and set the quadratic back equal to y:

(x+3)^2+0=y

This gives you a vertex of (-3, 0), which is a minimum value, since the parabola opens upwards.

6 0
3 years ago
John put 5 identical pairs of white socks and 5 identical pairs of black socks in the dryer. If he reaches in and grabs some soc
djyliett [7]

Answer:

1/2

Step-by-step explanation:

fhbxgjhf u have it in a

7 0
3 years ago
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