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lozanna [386]
2 years ago
9

Write a quadratic equation with -4 and 3/2 as it’s roots. Write the equation in the form ax^2 + bx + c = 0, where a, b, and c ar

e integers.
Mathematics
1 answer:
jonny [76]2 years ago
5 0

9514 1404 393

Answer:

  2x² +5x -12 = 0

Step-by-step explanation:

When p and q are roots of a quadratic, its factored form can be written as ...

  (x -p)(x -q) = 0

Here, the roots are given as -4 and 3/2, so the factored form would be ...

  (x -(-4))(x -(3/2) = 0

Multiplying by 2 gives us ...

  (x +4)(2x -3) = 0

Expanding the product, we find the desired quadratic is ...

  2x² +5x -12 = 0

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PLZ HELP ME I HAVE 5 MORE MINUTES
rewona [7]

Answer:

-10

Step-by-step explanation:

-5(2) - 4(-1) - 8 +2(2)

5 0
2 years ago
Read 2 more answers
What is 35 = -2x - 15 ?
gtnhenbr [62]

Answer:

x=-25

Step-by-step explanation:

35=-2x-15

add 15 to both sides, cancels the 15 from the right

50=-2x

divide both sides by -2, isolates the x

-25=x


4 0
3 years ago
Help Please<br> Find The Surface Area Of The Prism
snow_lady [41]

Answer:

360 cm^2

Step-by-step explanation:

Find the area of each face of the triangular prism.

Imagine the triangular prism as its net, it is composed with 2 triangular faces (these are tye bases of the prism) and 3 rectangular faces.

Areas of the 2 triangular bases (they are similar triangles):

1/2 x 8 cm x 6 cm = 24 cm^2

24 x 2 = 48 cm^2

Area of the rectangular face:

8 x 13 = 104 cm^2

Area of another rectangular face:

6 cm x 13 cm = 78 cm^2

Area of another rectangular face:

13 cm x 10 cm = 130 cm^2

Add up all the areas of all faces:

48 + 104 + 78 + 130 = 360

So the SA is 360 cm^2

8 0
2 years ago
The expression 9n + 3 represents the perimeter (in meters) of the triangle. Write an expression in the simplest form that repres
AlexFokin [52]

Answer:

4n+2

Step-by-step explanation:

  1. add all sides =9n+3
  2. 3n+2+2n-1=9n+3
  3. add liketerms 5n+1=9n+3
  4. put liketerms together 9n-5n+3-1
  5. ans hence is 4n+2
5 0
2 years ago
Judy is looking to buy a textbook. The book normally costs $75.82, but it is on sale for 35% below
Trava [24]

Answer:

$49.28 is the sale cost.

Step-by-step explanation:

0.35 x 75.82 = 26.537

75.82 - 26.537

= 49.283 and round

3 0
2 years ago
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