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MissTica
3 years ago
10

Select True or False for each statement. 1 4 9 + 7 6 9 is equal to 8 1 9 . 5 5 6 + 3 3 6 is equal to 8 2 6 . 4 5 8 − 2 4 8 is eq

ual to 2 3 8 . 6 5 8 − 2 2 8 is equal to 4 3 8 .
Mathematics
1 answer:
Elena L [17]3 years ago
4 0

Answer:

(1) False

(2) False

(3). False

(4) False

Step-by-step explanation:

According to the problem, calculation of the given data are as follows,

(1). Given,  149 + 769 = 819

By calculating 149 + 769 = 918  

Hence, False

(2). Given,  556 + 336 = 826

By calculating 556 + 336 = 892  

Hence, False

(3). Given,  458 - 248 = 238

By calculating 458 - 248 = 210  

Hence, False

(4). Given,  658 - 228 = 438

By calculating 658 - 228 = 430  

Hence, False

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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
Read 2 more answers
Which of the following expressions could be used to represent "the difference between -17 and -8"?
DanielleElmas [232]
-17 -(-8) should be the answer
8 0
3 years ago
Read 2 more answers
Please helppppppppppp help
yuradex [85]
13. 9x^2-36x+36
14. 4x^2+14x+20
Remember area formula for a square is Length times Width.
The area formula for a triangle is 1/2base times height.
5 0
2 years ago
What must be added to 70 so it will divide exactly into five groups of 16
natulia [17]

Answer:

10

Step-by-step explanation:

x+70=16(5)\\\\x+70=80\\\\x=10

Therefore, the number is 10

5 0
2 years ago
Solve the Following Inequality Select the possible range of solution to make the Statement True.
Bas_tet [7]

Answer:

4, 5, 6

Step-by-step explanation:

- 6m < -24

-m < -4

m > 4

m has to be greater than 4

6 0
3 years ago
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