How are inequality and equation similar and different

1 answer:

3 0

They are similar because there are 2 sides to them. they are different because an equation states that both sides are equal, but in an inequality, one side is either greater than, less than, greater than or equal to, or less than or equal to.

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The product of (3 − 4i) and____is 25.

LiRa [457]

$(3-4i)(a+bi)=25\qquad\text{use FOIL method}\\\\(3)(a)+(3bi)+(-4i)(a)+(-4i)(bi)=25+0i\\\\3a+3bi-4ai-4bi^2=25+0i\\\\3a+3bi-4ai-4b(-1)=25+0i\\\\3a+3bi-4ai+4b=25+0i\\\\(3a+4b)+(3b-4a)i=25+0i\\.\qquad\qquad\qquad\qquad\Downarrow\\\\3a+4b=25\ and\ 3b-4a=0\\\\3b-4a=0\qquad\text{add 4a to both sides}\\\\3b=4a\qquad\text{divide both sides by 3}\\\\b=\dfrac{4}{3}a\qquad\text{substitute it to the first equation}\\\\3a+4\left(\dfrac{4}{3}a\right)=25\\\\3a+\dfrac{16}{3}a=25\qquad\text{multiply both sides by 3}$

$9a+16a=75\\\\25a=75\qquad\text{divide both sides by 25}\\\\\boxed{a=3}\qquad\text{put the value of a to}\ b=\dfrac{4}{3}a:\\\\b=\dfrac{4}{3}(3)\\\\\boxed{b=4}\\\\Answer:\ \boxed{(3-4i)\underline{(3+4i)}=25}$

6 0

3 years ago

If the are 5 buses and the quatation amount is R8,100 how much will each person pay

Nina [5.8K]

Answer:

R1620

Step-by-step explanation:

1620 ×1=1620

1620×2=3240

1620×3=4860

1620×4=6480

1620×5=8100

5 0

3 years ago

Pls help me, I dont get the question. Polynomials

AnnZ [28]

The given polyn. is not in std. form. To answer this question, we need to perform the indicated operations (mult., addn., subtrn.) first and then arrange the terms of this poly in descending order by powers of x:

P(x) = x(160 - x) - (100x + 500)

When this work has been done, we get P(x) = 160x - x^2 - 100x - 500, or

P(x) = -x^2 + 60x - 500

So, you see, the last term is -500. This means that if x = 0, not only is there no profit, but the company is "in the hole" for $500.

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3 years ago

The surface area of a ball is 3,600 square millimeters. What is the balls radius

allsm [11]