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Fiesta28 [93]
3 years ago
6

HEEEELLLPPP PPPLLLZZZ! 30 points if i get the right answer plus step by step

Mathematics
1 answer:
valentinak56 [21]3 years ago
4 0

Answer:

2x - 3

Step-by-step explanation:

2x² - 7x + 6 / x - 2

Factorise the numerator(quadratic expression).

2x² -7x + 6

Find the factor of (2×6= 12  ) that add up to give -7 , the coefficient of x.

Factors = -4 and -3

Rewrite the equation

2x² -4x -3x + 6

2x(x - 2) -3(x -2)

( 2x - 3)(x - 2)

Therefore the expression would be

(2x -3)(x-2) / (x-2)

(x-2) divides (x-2) to give

= 2x - 3

I hope this was helpful, please rate as brainliest  

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eimsori [14]
Linear positive association
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2 years ago
Classify the following functions as growth or decay: f(x) = 10 (6/7)^x, g(x)= 1/3e^x, h(x)=5e^-x, k(x)= -10(6/7)^x
Strike441 [17]

It is known that any exponential function with the form f(x)=a^x is an increasing function while a function of the form g(x)=a^(-x) is a decreasing function.

Furthermore, it a function h(x) is increasing, then the function -h(x) is decreasing. By analogy, if a function k(x) is decreasing, then -k(x) is increasing.

Now let's analyze the functions from the problem.

\text{ Let }f(x)=10\cdot(\frac{6}{7})^x

Since (6/7)^x is increasing and the multiplying factor of 10 is positive, then the function <em>f(x)</em> is also increasing.

Use these rules to find whether each function is increasing or decreasing.

Remember that increasing functions are used to represent growth while decreasing functions are used to represent decay.

8 0
1 year ago
Can someone help? Thanks! :)
sukhopar [10]

Answer:

<em>The second figure ( rectangle ) has a longer length of it's diagonal comparative to the first figure ( square )</em>

Step-by-step explanation:

We can't confirm the length of these diagonals based on the appearance of the figure, so let us apply Pythagorean Theorem;

This diagonal divides each figure ( square + rectangle ) into two congruent, right angle triangles ⇒ from which we may apply Pythagorean Theorem, where the diagonal acts as the hypotenuse;

5^2 + 5^2 = x^2 ⇒ x is the length of the diagonal,

25 + 25 = x^2,

x^2 = 50,

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Now the same procedure can be applied to this other quadrilateral;

3^2 + 7^2 = x^2 ⇒ x is the length of the diagonal,

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<em>Therefore the second figure ( rectangle ) has a longer length of it's diagonal comparative to the first figure ( square )</em>

5 0
2 years ago
PLS HELP 50 POINTS
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Answer:

f(x+1)=(5/6)f(x)on:          Five-sixths Superscript f (x)

EXPLANATION:

The defining characteristic of a geometric sequence is that each term is a constant multiple of the previous term, called the common ratio denoted r in the rules for geometric equations.

625/750=750/900=etc=r=5/6

4 0
3 years ago
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"<span>A= 1/2 h (a+b) solve for h"
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