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3 years ago

What indicators predict that a quadratic function will have a complex solution?

1 answer:

8 0

The nature of the roots can be determined by the determinant of the equation. The determinant is:
b² - 4ac

If this is positive, there are two roots
If this is 0, there is only one root
If this is negative, there are complex roots

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Two linear equations are shown. A coordinate grid with 2 lines. The first line is labeled y equals StartFraction one-third EndFr

Lorico [155]

Answer:

$(7,\frac{13}{3})$

Step-by-step explanation:

we have

The equation of the first line

$y=\frac{1}{3}x+2$ ------> equation A

The equation of the second line

$y=\frac{4}{3}x-5$ ------> equation B

Solve the system of equations by elimination

Multiply equation A by -4 both sides

$(-4)y=(-4)(\frac{1}{3}x+2)$

$-4y=-\frac{4}{3}x-8$ --------> equation C

Adds equation B and equation C

$y=\frac{4}{3}x-5\\-4y=-\frac{4}{3}x-8\\--------\\y-4y=-5-8\\-3y=-13\\y=\frac{13}{3}$

Find the value of x

substitute the value of y

$\frac{13}{3}=\frac{1}{3}x+2$

$\frac{1}{3}x=\frac{13}{3}-2$

Multiply by 3 both sides

$x=13-6$

$x=7$

therefore

The solution to the system of equations is the point $(7,\frac{13}{3})$

5 0

3 years ago

Read 2 more answers

A photo of a mosquito in a science book is magnified to 635% of the mosquito's actual size.If the mosquito is 16 millimetres lon

alexdok [17]

Answer:

The length of the mosquito in the picture is 117.6 mm.

Step-by-step explanation:

This question can be solved using a rule of three.

The real size of the mosquito is 16 mm, which is 100% = 1.

In the picture, the size is magnified 635%, so it is 100+635 = 735% = 7.35. So

16mm - 1

x mm - 7.35

x = 7.35*16 = 117.6

The length of the mosquito in the picture is 117.6 mm.

4 0

4 years ago

Expand (x-y)^5 using pascal’s triangle

mina [271]

Hello from MrBillDoesMath!

Answer:

x^5 - 5 x^4 y + 10 x^3 y^2 - 10 x^2 y^3 + 5 x y^4 - y^5

Discussion:

Pascal's triangle looks like this (up to 6 rows)

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

The last row contains the constant multipliers in the equation. The terms in the expansion alternate in sign.

Thank you,

MrB

7 0

3 years ago

HELPP URGENT!!! NOWW!!!!!!!! 30 POINTS!!!!!!!!!!

vesna_86 [32]

Answer:

y= 6x

Step-by-step explanation:

Slope is 6

6 0

3 years ago

10+2345555555+5566666666666666666666

serious [3.7K]

Answer:

666654567777765422257889

5 0

3 years ago

Read 2 more answers