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2 years ago

Evaluate the following expression.

1 answer:

8 0

-5(-10)*-24-4
1. PEMDAS
2. (50)*-24-4
3. -1200-4
4. -1204

PEMDAS stands for: P. Parentheses, E. Exponents, M. Multiplication, D. Division, A. Addition, S. Subtraction.

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Let a = 3 – 5i and b = –1 + 7i. Which of the following are true statements? Check all that apply.

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Answer: 2nd and 6th options are correct

Step-by-step explanation: It showed me after I got em wrong

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2 years ago

Suppose you deal three cards from a regular deck of 52 cards. What is the probability that they will all be jacks?

andrew-mc [135]

Answer:

Probability of getting three jacks = $\frac { 3 } { 5 2 }$

Step-by-step explanation:

It is given that you deal three cards from a regular deck which contains 52 cards.

We are to find the probability of getting all three Jack cards.

We know that there are a total of 4 jacks in a regular deck of 52 cards.

Therefore, the probability of getting three jacks = $\frac { 3 } { 5 2 }$

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3 years ago

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Which of the following equations have complex roots?

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Answer:

Step-by-step explanation:

Complex roots of quadratic functions occur when the discriminant is negative.

Discriminant

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

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

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1 year ago

What digit in the serial number of this dollar bill occurs most often? 6,8,5,8,2,8,5,8

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8 occurs most often.

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