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3 years ago

Calculate the value of (6.72 x 10^5) + (3.2 x 10^4)Give your answer in standard form.

Mathematics

1 answer:

madam [21]3 years ago

7 0

Answer:

7.04× 10^5

Step-by-step explanation:

6.72 x 10^5= 6.72 x 10^(4+1)= 6.72 x 10^1 ×10^4

= 67.2 x 10^4

(67.2 x 10^4)+ (3.2 x 10^4)

(67.2+3.2) × 10^4 = 70.4 × 10^4

7.04× 10^5

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Find all the zeros of the polynomial function P(x) x^4-4x^3 -5x^2+38x- 30

worty [1.4K]

Answer:

The zeros of the polynomial function are 1, -3, 3+i and 3-i.

Step-by-step explanation:

The given function is

$P(x)=x^4-4x^3-5x^2+38x-30$

We can find a zero of the given function by hit and trial method.

Substitute x=1 in the given function.

$P(1)=(1)^4-4(1)^3-5(1)^2+38(1)-30$

$P(1)=0$

The value of function is 0 at x=1 it means (x-1) is a factor of given function.

Substitute x=-3 in the given function.

$P(-3)=(-3)^4-4(-3)^3-5(-3)^2+38(-3)-30$

$P(-3)=0$

The value of function is 0 at x=-3 it means (x+3) is a factor of given function.

$(x-1)(x+3)=x^2 + 2 x - 3$

Divide the given function by $x^2 + 2 x - 3$ , to get remaining factors.

$\frac{x^4-4x^3-5x^2+38x-30}{x^2 + 2 x - 3}=x^2 - 6 x + 10$

So, the factor form of given function is

$P(x)=(x - 1) (x + 3) (x^2 - 6 x + 10)$

Quadratic formula: If a quadratic equation is $ax^2+bx+c=0$ , then

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Using quadratic formula find the zeroes of $x^2 - 6 x + 10$ .

$x=\frac{-(-6)\pm \sqrt{(-6)^2-4(1)(10)}}{2(1)}$

$x=\frac{6\pm \sqrt{-4}}{2}$

$x=\frac{6\pm 2i}{2}$ $[\because \sqrt{-1}=i]$

$x=3\pm i$

Therefore the zeros of the polynomial function are 1, -3, 3+i and 3-i.

3 0

3 years ago

BRAINLIEST IF CORRECT!

Alex Ar [27]

Answer:

1. b 14

2. a 21

3. c 24

4. d 6

Step-by-step explanation:

Divide the coefficient by the denominator of the fraction, then multiply by the numerator to find the simplified coefficient.

6 0

2 years ago

How much did Gloria make per hour if she worked 6 hours for for 2 days and made 114.24

Anna35 [415]

9.52 per hour for 6 hours 2 days. there is a total of 12 hours in total so divide 114.24 by 12 to get 9.52.

5 0

3 years ago

Write the decimal as fraction or mixed number.<br> 0.19

OleMash [197]

Answer:

19/100

It's because it is the answer

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devlian [24]

Answer:

1x29

Step-by-step explanation:

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Calculate the value of (6.72 x 10^5) + (3.2 x 10^4)Give your answer in standard form.​

Calculate the value of (6.72 x 10^5) + (3.2 x 10^4)Give your answer in standard form.