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bulgar [2K]
3 years ago
15

Convert a length of 8 cm into meters: 0.0008 m 0.008 m 0.08 m 0.8 m

Mathematics
2 answers:
Assoli18 [71]3 years ago
5 0

Answer:

0.08 m

Step-by-step explanation:

stiv31 [10]3 years ago
3 0

Answer:

0.08

Step-by-step explanation:

move decimal left over two places

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12

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Help, Find value of x
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Answer:

29

Step-by-step explanation:

4x+(x+35)=180

5x+35=180

5x=145

x=29

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−2x=x^2−6
Iteru [2.4K]

Step-by-step explanation:

Example 1

Solve the equation x3 − 3x2 – 2x + 4 = 0

We put the numbers that are factors of 4 into the equation to see if any of them are correct.

f(1) = 13 − 3×12 – 2×1 + 4 = 0 1 is a solution

f(−1) = (−1)3 − 3×(−1)2 – 2×(−1) + 4 = 2

f(2) = 23 − 3×22 – 2×2 + 4 = −4

f(−2) = (−2)3 − 3×(−2)2 – 2×(−2) + 4 = −12

f(4) = 43 − 3×42 – 2×4 + 4 = 12

f(−4) = (−4)3 − 3×(−4)2 – 2×(−4) + 4 = −100

The only integer solution is x = 1. When we have found one solution we don’t really need to test any other numbers because we can now solve the equation by dividing by (x − 1) and trying to solve the quadratic we get from the division.

Now we can factorise our expression as follows:

x3 − 3x2 – 2x + 4 = (x − 1)(x2 − 2x − 4) = 0

It now remains for us to solve the quadratic equation.

x2 − 2x − 4 = 0

We use the formula for quadratics with a = 1, b = −2 and c = −4.

We have now found all three solutions of the equation x3 − 3x2 – 2x + 4 = 0. They are: eftirfarandi:

x = 1

x = 1 + Ö5

x = 1 − Ö5

Example 2

We can easily use the same method to solve a fourth degree equation or equations of a still higher degree. Solve the equation f(x) = x4 − x3 − 5x2 + 3x + 2 = 0.

First we find the integer factors of the constant term, 2. The integer factors of 2 are ±1 and ±2.

f(1) = 14 − 13 − 5×12 + 3×1 + 2 = 0 1 is a solution

f(−1) = (−1)4 − (−1)3 − 5×(−1)2 + 3×(−1) + 2 = −4

f(2) = 24 − 23 − 5×22 + 3×2 + 2 = −4

f(−2) = (−2)4 − (−2)3 − 5×(−2)2 + 3×(−2) + 2 = 0 we have found a second solution.

The two solutions we have found 1 and −2 mean that we can divide by x − 1 and x + 2 and there will be no remainder. We’ll do this in two steps.

First divide by x + 2

Now divide the resulting cubic factor by x − 1.

We have now factorised

f(x) = x4 − x3 − 5x2 + 3x + 2 into

f(x) = (x + 2)(x − 1)(x2 − 2x − 1) and it only remains to solve the quadratic equation

x2 − 2x − 1 = 0. We use the formula with a = 1, b = −2 and c = −1.

Now we have found a total of four solutions. They are:

x = 1

x = −2

x = 1 +

x = 1 −

Sometimes we can solve a third degree equation by bracketing the terms two by two and finding a factor that they have in common.

6 0
3 years ago
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Give 3 expressions equivalent to the expression 24x+60
kirill [66]
12x+30, 36x+90, 6x+15
7 0
4 years ago
Xavier opened a savings account with a deposit of $12,000. The account earned simple interest. He did not make any additional de
klasskru [66]

The annual interest rate on the saving account of Xavier which is earned simple interest is 9%.

<h3>What is simple interest?</h3>

Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.

The formula for the simple interest can be given as,

I=\dfrac{PRT}{100}

Here, (<em>I</em>) is the interest amount on the principal amount of (<em>P</em>) with the rate of (<em>r</em>) in the time period of (<em>t</em>).

Xavier opened a savings account with a deposit of $12,000. At the end of 3 years, the account balance was $12,324.

The principal amount is $12000 and the total amount is $12324. Thus, the interest earned by the Xavier is,

I=12324-12000\\I=324

Total time period is 3 years and the account earned simple interest. Thus, put these values in the above formula as,

324=\dfrac{(12000)R(3)}{100}\\R=\dfrac{32400}{12000\times3}\\R=9\%

Hence, the annual interest rate on the saving account of Xavier which is earned simple interest is 9%.

Learn more about the simple interest here;

brainly.com/question/2294792

8 0
2 years ago
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