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vlada-n [284]
3 years ago
5

Find the multiples of 7 which is greater than 56 but less than 77

Mathematics
2 answers:
Masteriza [31]3 years ago
5 0

Answer:

63,70

Step-by-step explanation:

7 x 8 = 56

7 x 11 = 77

multiples of 7 and 9, 7 x 10

shepuryov [24]3 years ago
3 0

63 and 70

7×9 = 63

7×10 = 70

Answered by Gauthmath must click thanks and mark brainliest

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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
The y-intercept of (2,5) and (4,4)
wolverine [178]
First let's find the slope of line joining (2, 5) and (4, 4)

Assuming points  (x₁, y₁) and (x₂, y₂)

Slope = (y₂ - y₁) / (x₂ - x₁)

Slope = (4 - 5) / (4 -2) =  -1/2 = -0.5

From equation of line:     y = mx + c

y = -0.5x + c

Using the point (2 , 5) as passing through y = -0.5x + c

x = 2, y = 5

5 = -0.5*2 + c

5 = -1 + c

5 + 1 = c

6 = c

c = 6

Therefore the y-intercept which is c = 6

y-intercept = 6

Hope this explains it.
4 0
3 years ago
Read 2 more answers
Let A and B be nxn matrices such that AB is singular prove that either A or Bis singular
Alex_Xolod [135]
\det(\mathbf{AB})=\det\mathbf A\times\det\mathbf B

Because \mathbf{AB} is singular, we have

\det(\mathbf{AB})=0

from which it follows that either \det\mathbf A=0 or \det\mathbf B=0.
4 0
3 years ago
Please help I really need help
katrin2010 [14]

Answer:

No

Step-by-step explanation:

Use the vertical line test, you can conclude that this is not a function.

5 0
2 years ago
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Simplify and then evaluate.
lozanna [386]

Answer:

The simplified expression is -4x and the value is -516

Step-by-step explanation:

−12x+14x−6x

Combine like terms

2x-6x

-4x

Let x =129

-4*129

-516

4 0
3 years ago
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