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3 years ago

Help me please this is my last question

Mathematics

1 answer:

almond37 [142]3 years ago

7 0

Already answered the other question which was the same
8= 2 liters of punch
16= 4 liters of punch
20= 5 liters of punch
28= 7 liters of punch

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Which of the following equations have complex roots?

mestny [16]

Answer:

Step-by-step explanation:

Complex roots of quadratic functions occur when the <u>discriminant is negative</u>.

<u>Discriminant</u>

$b^2-4ac\quad\textsf{when}\:\:ax^2+bx+c=0$

Evaluate the discriminant of each of the given equations.

$\textsf{A.} \quad 3x^2+2=0$

$\implies a=3, \quad b=0, \quad c=2$

$\implies b^2-4ac=0^2-4(3)(2)=-24$

As -24 < 0 the equation will have complex roots.

$\textsf{B.} \quad 2x^2+1=7x$

$\implies 2x^2-7x+1=0$

$\implies a=2, \quad b=-7, \quad c=1$

$\implies b^2-4ac= (-7)^2-4(2)(1)=41$

As 41 > 0 the equation does not have complex roots.

$\textsf{C.} \quad 3x^2-1=6x$

$\implies 3x^2-6x-1=0$

$\implies a=3, \quad b=-6, \quad c=-1$

$\implies b^2-4ac=(-6)^2-4(3)(-1)=48$

As 48 > 0 the equation does not have complex roots.

$\textsf{D.} \quad 2x^2-1=5x$

$\implies 2x^2-5x-1=0$

$\implies a=2, \quad b=-5, \quad c=-1$

$\implies b^2-4ac=(-5)^2-4(2)(-1)=33$

As 33 > 0 the equation does not have complex roots.

Learn more about discriminants here:

brainly.com/question/27444516

brainly.com/question/27869538

Learn more about complex roots here:

brainly.com/question/26344541

6 0

2 years ago

3. Choose a word from below to match the definition. Inability to pay back money owed is called

bazaltina [42]

Its Debt :D, good luck !

7 0

3 years ago

Read 2 more answers

You have a loan for $200,000 at 8.5% annual simple interest. What is your monthly interest payment?

Sergeu [11.5K]

Answer:

c. 1,417

Step-by-step explanation:

200,000 (8.5%) = 17,000

17,000 / 12 = 1,416.67 or 1,417

5 0

3 years ago

Andre's phone is 11.5 cm long. How many millimeters is this?

Eduardwww [97]

Answer:

about 115 millimeters

Step-by-step explanation:

6 0

2 years ago

How to calculate standard deviation given mean and sample size?

ad-work [718]

In addition to mean and sample size you will need the individual scores.

The formula for standard deviation is:

S^2 = E(X-M)^2/N-1

Here's an example:
Data set: 4,4,3,1
Mean: 3
Sample size: 4

First, put the individual scores one after the other and subtract the mean from it.
4 - 3 = 1
4 - 3 = 1
3 - 3 = 0
1 - 3 = -2

Second, square the answers you got from step 1.
1^2 = 1
1^2 = 1
0^2 = 0
-2^2 = 4
Third, plug the values from step 2 into the formula.

S^2 = (1+1+0+4)/(4-1) = 6/3 = 2

Standard deviation = 2

3 0

3 years ago