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3 years ago

Simplify the following expression:

Mathematics

1 answer:

sveta [45]3 years ago

5 0

9514 1404 393

Answer:

D. 28 +10i

Step-by-step explanation:

As with any "collect terms" problem, you first identify the like terms, then add their coefficients. You can start with either the real or the imaginary terms to obtain a result that will point you to the correct answer choice. Of course, the distributive property works in the usual way.

(3i+ 4) -i + 4(6 +2i) = 3i +4 -i +24 +8i . . . . eliminate parentheses

= (4 +24) +(3 -1 +8)i . . . . . . . group like terms

= 28 +10i

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3 years ago

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1 year ago

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3 years ago

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Y=3x-2

Inessa [10]

Answer:

a) $(x,y) = (3, 7)$ is a solution of the linear equation.

b) The rate of change of the equation is 3.

c) The y-intercept of the equation is -2.

d) <em>Jayne is working in the grocery one day, according to her calculations, renting the lot costs 2 dollars per day and she could earn 3 dollars per hour by selling pastries. How much money does she earn after working 8 hours?</em>

Step-by-step explanation:

a) If $(x,y) = (3, 7)$ is a solution of the linear equation, then $f(3) = 7$ . If $x = 3$ , then the function evaluated at this value is:

$y = 3\cdot (3) -2$

$y = 7$

Hence, $(x,y) = (3, 7)$ is a solution of the linear equation.

b) The rate of change of the equation is represented by the slope of the function, which is the constant that multiplies the indepedent variable ( $x$ ). Hence, the rate of change of the equation is 3.

c) The y-intercept of the equation is the only constant of the equation. Hence, the y-intercept of the equation is -2.

d) A real-world scenario would be the following: <em>Jayne is working in the grocery one day, according to her calculations, renting the lot costs 2 dollars per day and she could earn 3 dollars per hour by selling pastries. How much money does she earn after working 8 hours?</em>

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3 years ago

Complete the solution of the equation. Find the value of y when x equals -2. X + 2y = -12

telo118 [61]

x = -2

-2 + 2y = -12

add 2 to both sides: 2y = -10

divide by 2 on both sides: y = -5

when x = -2, y = -5

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3 years ago