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svetoff [14.1K]
3 years ago
15

In the complex number 4+ 2i, 4 is the (blank) part.

Mathematics
1 answer:
Talja [164]3 years ago
8 0

Answer:

4 is the real part

2 is the imaginary part

Step-by-step explanation:

A complex number is written in the form a+bi

where a is the real part and b is the imaginary part

4 +2i

4 is the real part

2 is the imaginary part

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6 0
3 years ago
Determine the values of the constants B and C so that the function given below is differentiable.
laila [671]
For the function to be differentiable, its derivative has to exist everywhere, which means the derivative itself must be continuous. Differentiating gives

f'(x)=\begin{cases}24x^2&\text{for }x1\end{cases}

The question mark is a placeholder, and if the derivative is to be continuous, then the question mark will have the same value as the limit as x\to1 from either side.

\displaystyle\lim_{x\to1^-}f'(x)=\lim_{x\to1}24x^2=24
\displaystyle\lim_{x\to1^+}f'(x)=\lim_{x\to1}B=B

So the derivative will be continuous as long as B=24

For the function to be differentiable everywhere, we need to require that f(x) is itself continuous, which means the following limits should be the same:

\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1}8x^3=8
\displaystyle\lim_{x\to1^+}f(x)=\lim_{x\to1}Bx+C=24+C

24+C=8\implies C=-16

So, the function should be

f(x)=\begin{cases}8x^3&\text{for }x\le1\\24x-16&\text{for }x>1\end{cases}

with derivative

f'(x)=\begin{cases}24x^2&\text{for }x
5 0
4 years ago
Graph ​ y−5=−23(x+9) ​ using the point and slope given in the equation.
Mashcka [7]

Answer:

Plot (-9,5) then you do rise over run and go down 2 and to the right 3

Step-by-step explanation:

So your points would  be (-9,5) and(-6,3)

6 0
3 years ago
What is the benefit of paying discount points as part of the closing costs? a. Discount points give the buyer a discount on the
d1i1m1o1n [39]
<span>What is the benefit of paying discount points as part of the closing costs?
</span><span><span>a.Discount points give the buyer a discount on the mortgage.</span><span>b.Typically points lower the interest rate on the mortgage. The more points that a buyer pays up front, the lower the interest rate.</span><span>c.Points lower the overall cost of the home. The more points that a buyer pays up front, the lower the total cost at closing.</span><span>d.<span>Discount points give you a discount from the title company where you go to sign the loan papers.

(ANSWER B) </span></span></span>
8 0
3 years ago
Read 2 more answers
PLEASE HELP ME!!!!! Explain your answer, THANK YOU!!!!!!!!
disa [49]

Answer:

y =  \frac{-1}{2} x+\frac{-1}{2}

Step-by-step explanation:

Standard equation in point slope form is :

y-y_0 = m(x-x_0) +c

where m = slope = -1/2

(x_0,y_0) is the point from which the lines passes through = (5,-3)

We get the equation as,  

y-(-3) = -1/2(x-5)

y+3 = \frac{-1}{2}(x-5)

y = \frac{-1}{2} x+\frac{5}{2}-3

y =  \frac{-1}{2} x+\frac{-1}{2}

Hence, m= -1/2  and c = -1/2

Required equations is:

y =  \frac{-1}{2} x+\frac{-1}{2}

8 0
3 years ago
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