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3 years ago

Which graph shows the solution set for Negative five-halves x minus 3 less-than-or-equal-to 2?

Mathematics

2 answers:

sashaice [31]3 years ago

3 0

Answer:

Step-by-step explanation:

nika2105 [10]3 years ago

3 0

Answer:

Step-by-step explanation:

edgeee

and yes, this is correct! Have a wonderful rest of ur life :)

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Find all the zeros of the equation x^4-6x^2-7x-6=0

rusak2 [61]

Answer:

The zeros are

$x=-2,\:x=3,\:x=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}$

Step-by-step explanation:

We have been given the equation x^4-6x^2-7x-6=0

Use rational root theorem, we have

$a_0=6,\:\quad a_n=1$

$\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:2,\:3,\:6,\:\quad \mathrm{The\:dividers\:of\:}a_n:\quad 1$

$\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:2,\:3,\:6}{1}$

$-\frac{2}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+2$

$=\left(x+2\right)\frac{x^4-6x^2-7x-6}{x+2}\\$

$=x^3-2x^2-2x-3$

Again factor using the rational root test, we get

$=\left(x+2\right)\left(x-3\right)\left(x^2+x+1\right)$

Using the zero product rule, we have

$x+2=0:\quad x=-2\\x-3=0:\quad x=3\\x^2+x+1=0\\\\x_{1,\:2}=\frac{-1\pm \sqrt{1^2-4\cdot \:1\cdot \:1}}{2\cdot \:1}\\\\=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}$

Therefore, the zeros are

$x=-2,\:x=3,\:x=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}$

4 0

3 years ago

Read 2 more answers

Use two 2-Column proofs to show that either diagonal of a rectangle will create two congruent triangles?

tangare [24]

Given: Rectangle ABCD
Prove: ∆ABD≅∆CBD
Solution:

 Statement Reason

ABCD is a parallelogram Rectangles are parallelograms since the definition of a parallelogram is a quadrilateral with two pairs of parallel sides.

Segment AD = Segment BC The opposite sides of a parallelogram are Segment AB = Segment CD congruent. This is a theorem about the parallelograms.

∆ABD≅∆CBD SSS postulate: three sides of ΔABD is equal to the three sides of ∆CBD

Given: Rectangle ABCD
Prove: ∆ABC≅∆ADC
Solution:

 Statement Reason

Angle A and Angle C Definition of a rectangle: A quadrilateral
are right angles with four right angles.

Angle A = Angle C Since both are right angles, they are congruent

Segment AB = Segment DC The opposite sides of a parallelogram are Segment AD = Segment BC congruent. This is a theorem about the parallelograms.

∆ABC≅∆ADC SAS postulate: two sides and included angle of ΔABC is congruent to the two sides and included angle of ∆CBD

6 0

3 years ago

One T-shirt is sold for every 5 people who attend a concert. What is one way to write the unit rate in words?

liraira [26]

Answer : the answer is 5 people per T-shirt

Step-by-step explanation: because its 5 people per 1 T-shirt

3 0

3 years ago

Eliza started the week with $274 in her bank account. This week she babysat for 16 hours and made $144.25. Eliza then went to th

elixir [45]

Hi. I hope this helps!

I believe the answer is 330.26 left.

1. First you add 274 and 144.25

You get 388.25

2. The. You subtract the amount of the video game from 388.25

You get 330.26

I hope this helps! Have a great day!

4 0

3 years ago

If something is 34 mins how many times can it play in 7 hours

GarryVolchara [31]

Answer:

Step-by-step explanation:

my boys said so, and I agree

(7*60)/34

5 0

2 years ago