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3 years ago

Simplify (3 - 2x + 2x2) + (4x - 5 + 3x2)

Mathematics

2 answers:

Gnoma [55]3 years ago

7 0

Answer:

(2x+7) + (4x+1)

Step-by-step explanation:

(3-2x+4) + (4x-5+6)

(2x+7) + (4x+1)

jok3333 [9.3K]3 years ago

3 0

Step-by-step explanation:

3 - 2x + 2x² + 4x - 5 + 3x²

2x² + 3x² -2x + 4x +3 -5

= 5x² + 2x -2

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According to the Complex Conjugate Root Theorem, if a+bi is a root of a quadratic equation, then __blank__ is also a root of the

Trava [24]

Answer:

a-bi

Step-by-step explanation:

If a quadratic equation lx^2+mx+n=0 has one imaginary root as a+bi then the other root is the conjugate of a+bi = a-bi

Because we have l, m and n are real numbers and they are the coefficients.

Sum of roots = a+bi + second root = -m/l

When -m/l is real because the ratio of two real numbers, left side also has to be real.

Since bi is one imaginary term already there other root should have -bi in it so that the sum becomes real.

i.e. other root will be of the form c-bi for some real c.

Now product of roots = (a+bi)(c-bi) = n/l

Since right side is real, left side also must be real.

i.e.imaginary part =0

bi(a-c) =0

Or a =c

i.e. other root c-bi = a-bi

Hence proved.

3 0

3 years ago

Timmy has 13 dollars in his bank account he withdrew m amount of dollars. He is now 100 dallors in debt. How much

Gekata [30.6K]

Answer:

$113

Step-by-step explanation:

Since he had $13 and now he is $100 in debt:

First, he withdrew $13 to get $0 in his bank account.

He then withdrew $100 to get -$100 in his bank account.

13 + 100 = 113

8 0

3 years ago

Read 2 more answers

How can you check that this answer is correct? 5,244 = 6= 874

nignag [31]

I think you meant 5,244 ÷ 6 = 874.

Answer/Step-by-step explanation:

We can check if this 5,244 ÷ 6 = 874 is correct by doing it opposite.

Since it 5,244 divide 6 we can do 874 x 6.

$\left[8 7 4] \\$

× $[6]$

======

+ 5244

=======

5244

Hence, this answer is correct.

[RevyBreeze]

3 0

2 years ago

Hellppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

const2013 [10]

Answer: y = 4 and x = 1

Step-by-step explanation:

when y is 2, x is 0.5

when y is 4, x is 1

.(+ 2) .(+ 0.5)

the rule is that y is 4 times larger than x

5 0

3 years ago

Read 2 more answers

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimeters,

tiny-mole [99]

Answer:

Probability that the sample mean would be greater than 141.4 millimetres is 0.3594.

Step-by-step explanation:

We are given that Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimetres, and a standard deviation of 7.

A random sample of 39 steel bolts is selected.

Let $\bar X$ = sample mean diameter

The z score probability distribution for sample mean is given by;

Z = $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }$ ~ N(0,1)

where, $\mu$ = population mean diameter = 141 millimetres

$\sigma$ = standard deviation = 7 millimetres

n = sample of steel bolts = 39

Now, Percentage the sample mean would be greater than 141.4 millimetres is given by = P( $\bar X$ > 141.4 millimetres)

P( $\bar X$ > 141.4) = P( $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }$ > $\frac{141.4-141}{\frac{7}{\sqrt{39} } } }$ ) = P(Z > 0.36) = 1 - P(Z $\leq$ 0.36)

= 1 - 0.6406 = 0.3594

The above probability is calculated by looking at the value of x = 0.36 in the z table which has an area of 0.6406.

8 0

3 years ago