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sladkih [1.3K]
3 years ago
5

Write a quadratic equation in STANDARD FORM given the roots: 1, 1/2

Mathematics
1 answer:
Zigmanuir [339]3 years ago
5 0

Answer:

f(x) = 2x^2 - 3x + 1

Step-by-step explanation:

The root 1 is associated with the factor (x - 1).

The root 1/2 is associated with the factor (x - 1/2), which in turn is equivalent to (2x -1)

The quadratic in question is f(x) = (x - 1)(2x - 1).  To write this in standard form, perform the indicated multiplication:

f(x) = 2x^2 - 2x - x + 1, or f(x) = 2x^2 - 3x + 1

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A ​used-boat dealership buys a boat for ​$2800 and then sells it for ​$4000. What is the percent​ increase?
Rudik [331]

Answer:

Step-by-step explanation:

percent increase = increase divided by original number x 100

                           

increase is the difference between the two numbers...

new number - original number.....4000 - 2800 = 1200

percent increase = (1200 / 2800) x 100

                            = 0.42857 (round to .4286) x 100

                             = 42.86 %.....if you need it rounded to the nearest percent, it      would be 43% increase

6 0
3 years ago
Solve for e.<br> Give an exact answer.<br> 0.75(8+e)=2-1.25e
ANEK [815]
Then I got 2e=-4
e=-2

4 0
3 years ago
Read 2 more answers
Please help for brainliest
Amanda [17]

Answer:

f = 6, g = 8

Step-by-step explanation:

The area of Δ ADE = 60 - 48 = 12 cm²

Thus

\frac{1}{2} AD × 4 = 12, that is

2AD = 12 ( divide both sides by 2 )

AD = 6 = f

The area of ABCD = 48 cm² , thus

fg = 48 , that is

6g = 48 ( divide both sides by 6 )

g = 8

Thus f = 6 and  g = 8

5 0
3 years ago
Read 2 more answers
The dose of a strong cough medicine might be which of the following? 2mL, 200mL, 2L
Margarita [4]
To find the answer,we can picture how much the above value is by objects in real life.

2mL = about two drops of water

200mL = about a carton of milk/ a box of ornage juice

2L = 2000 × 10 mL = 20000 mL = The bottle of drinks that are in family/party size.

As we only take in small dosages of medicine, the best option would be 2mL.

Hope it helps!
6 0
3 years ago
Find the area of the polygon. Figure ABCDE is shown. A is at 6, 0. B is at negative 4, 5. C is at 2, 5. D is at 2, 9. E is at 6,
kondaur [170]

This question is incomplete. The attached image was obtained online

Answer:

41 square units

Step-by-step explanation:

Looking at diagram that was attached, we can see that the Polygon s the combination of a square and a triangle.

In square CDEF we have:

The lengths of the side of the square= 4 units

Hence, the area of square is: length ²

Area of square= 4²

=16 square units

Also, in ΔBFA we have:

The base of the triangle is calculated as

=6 + 4= 10 units

height of the triangle is: FA= 5 units

The formula for Area of a triangle = 1/2 × Base × Height

Hence, we have area of ΔBFA as:

= 1/2 × 10 × 5

Area= 25 square units

The Area of the Polygon = Area of the square + Area of the triangle

16 square units + 25 square units

= 41 square units

7 0
3 years ago
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