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lesantik [10]
3 years ago
15

Find the values of a b and c for which the quadratic equation ax^2+bx+c=0 has the solutions -3 and 1

Mathematics
1 answer:
zavuch27 [327]3 years ago
7 0
It may be easier to start from

.. a(x +3)(x -1) = 0
.. a(x^2 +2x -3) = 0

The quadratic
.. ax^2 +bx +c = 0 will have solutions -3 and 1 for ...

.. a ≠ 0
.. b = 2a
.. c = -3a
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△XYZ maps to △MNO with the transformation (x, y) ---> (5x, 5y).
jeyben [28]

Answer:

The length of MN is 30.

Step-by-step explanation:

It is given that △XYZ maps to △MNO with the transformation

(x,y)\rightarrow (5x,5y)

This rule of transformation represents the dilation with scale factor 5 because the dilation about the origin is defined as

(x,y)\rightarrow (kx,ky)

where, k is scale factor.

In dilation, the image and preimage are similar and scale factor is the ratio of corresponding side of image and preimage.

In △XYZ and △MNO,

k=\frac{MN}{XY}

5=\frac{MN}{6}

Multiply both sides by 6.

30=MN

Therefore the length of MN is 30.

5 0
4 years ago
40% if what number is 46?
Vinil7 [7]

Answer:

40 percent of 46 is 18.4.

7 0
2 years ago
Read 2 more answers
An aluminum block has a mass of 82.0 g and a volume of 12.8 cm^3. What is the block's density to the nearest g/cm^3?
Nastasia [14]
The answer would be C.
To find the density take Mass and divide by Volume
Mass
--------
Volume

82.0 g
---------
12.8 cm^<span>3

you get 6.4 g/cm^3</span>
3 0
3 years ago
How many different ways can 3 singers be selected from 5 who came to an audition
abruzzese [7]

This is known as "5 take 3", where ordering is not important.

\binom{5}{3} = \frac{5!}{3!(5-3)!} = \frac{120}{6\cdot2} = 10

5 0
3 years ago
I don’t understand this someone pls help
omeli [17]

To solve this, you need to plug in the numbers for <em>h</em>.

-4(-12) ≥ 8       48 ≥ 8  yes

-4(-7) ≥ 8         28 ≥ 8  yes

-4(-5) ≥ 8        20 ≥ 8  yes

-4(-3) ≥ 8        12 ≥ 8  yes

-4(-2) ≥ 8         8 ≥ 8  yes

-4(-1) ≥ 8         4 ≥ 8  no

-4(1) ≥ 8          -4 ≥ 8  no

-4(3) ≥ 8         -12 ≥ 8 no

-4(8) ≥ 8         -32 ≥ 8  no

Hope this helped!

7 0
3 years ago
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