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2 years ago

A number that is the product of a number and a counting number is called a

1 answer:

3 0

Answer: A multiple of a number is the product of the number and a counting number. So a multiple of 3 would be the product of a counting number and 3 .

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Which equation has the solutions x = -3 ± √3i/2 ?

Maurinko [17]

Answer:Answer is option C : [ $x^{2}$ + 3x + 3 ] =0

Note: None of options matches with given question.

instead of "-3" , there should be "- $\frac{3}{2}$ ".

Step-by-step explanation:

Note: None of options matches with given question.

instead of "-3" , there should be " $\frac{3}{2}$ ".

Here, First thing you have to observe the nature of roots.

∴ x = - $\frac{3}{2}$ + $\frac{\sqrt{3}}{2}$ i and x = - $\frac{3}{2}$ - $\frac{\sqrt{3}}{2}$

∴ [ x+( $\frac{3}{2}$ - $\frac{\sqrt{3}}{2}$ i) ][ x+( $\frac{3}{2}$ + $\frac{\sqrt{3}}{2}$ i) ]=0

∴ [ $x^{2}$ + x( $\frac{3}{2}$ + $\frac{\sqrt{3}}{2}$ i)+ x( $\frac{3}{2}$ - $\frac{\sqrt{3}}{2}$ i) + ( $\frac{3}{2}$ - $\frac{\sqrt{3}}{2}$ i)( $\frac{3}{2}$ + $\frac{\sqrt{3}}{2}$ i) ]=0

∴ [ $x^{2}$ + $\frac{3}{2}$ x + $\frac{\sqrt{3}}{2}$ ix + $\frac{3}{2}$ x - $\frac{\sqrt{3}}{2}$ ix + (3- $\frac{\sqrt{3}}{2}$ i)(3+ $\frac{\sqrt{3}}{2}$ i) ] =0

∴ [ $x^{2}$ + 3x + ( $\frac{3}{2}$ - $\frac{\sqrt{3}}{2}$ i)( $\frac{3}{2}$ + $\frac{\sqrt{3}}{2}$ i) ] =0

∴ [ $x^{2}$ + 3x + $\frac{9}{4}$ - ( $\frac{\sqrt{3}}{2}$ i)( $\frac{\sqrt{3}}{2}$ i) ] =0

∴ [ $x^{2}$ + 3x + $\frac{9}{4}$ - ( $\frac{3}{4}$ ) $i^{2}$ ] =0

∴ [ $x^{2}$ + 3x + $\frac{9}{4}$ + ( $\frac{3}{4}$ ) ] =0

∴ [ $x^{2}$ + 3x + $\frac{12}{4}$ ] =0

∴ [ $x^{2}$ + 3x + 3 ] =0

Thus, Answer is option C : <em>[ $x^{2}$ + 3x + 3 ] =0 </em>

6 0

3 years ago

PLZ HELP!This is my only question left!!! plzzzzz

hram777 [196]

Answer:

12.84 degrees

Step-by-step explanation:

sin(x)=2/9

5 0

2 years ago

Laura retired from her job recently, and she has saved about $396,460.00 over the course of her career. She plans to withdraw $1

Tomtit [17]

So she has 396460
she will withdarw 1700 per month, and withdraw is loss or minus or (-)

after x months, she has 359060 left so

total-withdrawn=remaining
withdrawwn=1700 times months so withdrawn=1700x
total-1700x=remaining
total=396460
reaining=359060
subsitute
isolate x then divide is the strategy

396460-1700x=359060
add 1700x to both sides
396460=359060+1700x
subtract 359060 from both sides
37400=1700x
divide both sides by 1700
22=x

she has been retired for 22 months

7 0

3 years ago

Read 2 more answers

What is the y-intercept of the graph of the function f(x) = x^2+3x+5

Amanda [17]

Answer:

Step-by-step explanation:

Plug x in as 0.

f(x)=0+0+5

f(x)=5

6 0

3 years ago