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lord [1]
3 years ago
6

(8-9)-(9+3)*5 5+(5+5+6)+9 (5/3-3) 2*3+(4*2)/2

Mathematics
1 answer:
Fynjy0 [20]3 years ago
4 0

Answer:

Step-by-step explanation:

Next time, please include the instructions.  I am assuming that the instructions state, "evaluate the following."

a) (8-9)-(9+3)*5  According to order of operations rules, we must do any work inside parentheses first, followed by any multiplication or division.  Here we calculate 8-9, obtaining -1, and 9+3, obtaining 12.  Then we have:

(-1) - (12)*5.  We must multiply here before subtracting:  -60 - 1 = -61.

b)  5+(5+5+6)+9    Do the addition inside parentheses first, obtaining:

5+(16)+9.  Now add up 5, 16 and 9:    30.

c) (5/3-3)    Do the division first, obtaining 5/3, and then subtract 3 (or, using the LCD, subtract 9/3):  5/3 - 9/3 = -4/3

d) 2*3+(4*2)/2  Do the multiplication first:  6 + (8)/2

Next, do the division:  6 + (4) = 10

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Lisa [10]

The rate of change of the relationship is 6/5

<h3>Rate of change of a line</h3>

The rate of change of a line is also known as the slope of the line. The formula for calculating the slope of a line is expressed as:

Slope =y2-y1/x2-x1

Given the coordinate points (-3,-2) and (2, 4). On substituting;

Slope = 4-(-2)/2-(-3)

Slope =4+2/2+3

Slope = 6/5

Hence the rate of change of the relationship is 6/5

Learn more on rate of change here: brainly.com/question/25184007

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8 0
2 years ago
If two planes intersect they will form a
Alja [10]

Answer:

They meet a line. Therefore, if two planes cut one another, then their intersection is a straight line.

Step-by-step explanation:


8 0
3 years ago
What are all of the x-intercepts of the continuous function in the table? (0, 8) (–4, 0) (–4, 0), (4, 0) (–4, 0), (0, 8), (4, 0)
dusya [7]

The answer would be (–4, 0) (–4, 0), (4, 0) (–4, 0) and (4, 0)


You would be looking for anything that is on the X access on the coordinate plan, so it would somewhat have to be a straight line, the way you can find that is (x, y)  so whatever is in X will be your answer!

3 0
3 years ago
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What is the slope of -2x + 4y = 12 ?
Daniel [21]

Answer:

Slope:  1/4

Step-by-step explanation:

6 0
3 years ago
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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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