4 years ago

Simplify the expression 13+|-21-(-4)²|

1 answer:

7 0

$13+|-21-(-4)^2| \\ \\ 13 + |-21-4^2| \\ \\ 13 + |-21-16| \\ \\ 13 + |-37| \\ \\ 13 + 37 \\ \\ 50 \\ \\ Answer: \fbox {50}$

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Write -2i + (9 - 3i) - (6 - 10i) as a complex number in standard form. 3 - 5i 3 + 5i 3 + 16i 12 - 16i

Ierofanga [76]

Answer:

3 + 5i

Step-by-step explanation:

Given

- 2i + (9 - 3i) - (6 - 10i) ← distribute parenthesis

= - 2i + 9 - 3i - 6 + 10i ← collect like terms

= 3 + 5i

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3 years ago

Express the following function, as a composition of two functions f and g. h(x)= x^2/(x^+4)

soldi70 [24.7K]

According to defintion of compostion of functions, we can get:

$(f\circ g)(x)=f(g(x))$

But we know, that:

$\displaystyle h(x)= \frac{x^2}{x^2+4}$

Our goal, is to express that function as a composition:

$(f\circ g)(x)=h(x) \Rightarrow f(g(x))=h(x)$

I.e:

$\displaystyle f(g(x))=\frac{x^2}{x^2+4}$

If $\displaystyle f(y)= \frac{y}{y+4}$ then $g(x)=x^2$ . Hence, $\displaystyle h(x)=(f\circ g)(x)=f(g(x))= \frac{g(x)}{g(x)+4} \Rightarrow f(g(x))=f(x^2)= \frac{x^2}{x^2+4}$

4 0

3 years ago

A neighborhood garden is 3/4 acre in size. It is divided into plots that are each 1/8 acre. How many 1/8-acre plots are there in

icang [17]

Answer:A

Step-by-step explanation:The answer is A because if you divide the numbers equally, then you will get 1

5 0

3 years ago

What is an equation of the line that passes through the points (-1,3) and

Westkost [7]

Answer:

x = -1

Step-by-step explanation:

Slope = (6-3)/(-1- (-1)

= 3 / 0

- so the line is vertical.

- and as it passes through x axis at x = -1, the answer is x = -1.

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3 years ago

Which ordered pair is the solution to the system of linear equations y=-7X+2 and y-9x- 14

blagie [28]

Answer:

(1,-5)

Step-by-step explanation:

9x-14 = -7x+2

16x = 16

x=1 (therefore must be the second choice but just to check...)

y= -7(1) +2 = -5

3 0

3 years ago