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Dima020 [189]
3 years ago
14

(a+bx)(a-bx)=25x-4x^3 find the value of b^-a

Mathematics
1 answer:
Neporo4naja [7]3 years ago
8 0
25x - 4x³ can be rewritten as:

x(25 - 4x²) = x(5 + 2x)(5 - 2x)

Therefore a = 5 & b = 2

b^-a = 1 / b^a = 1 / 2^5 = 1/32

Hope that helps
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What is the equation of the line that goes through the points (4,-1) and<br> (2,3)?
Arturiano [62]

Answer:

<u>y = -2x + 7</u>

Explanation:

<em><u>y = mx + b</u></em>

<em><u /></em>

<em>m = slope</em>

<em>b = y-intercept</em>

<em>y = a given y coordinate</em>

<em>x = a corresponding x coordinate</em>

<em />

First, we need to find the slope (m).

1) (4, -1)

2) (2/3)

m = slope = \frac{y_2-y_1}{x_2-x_1} = \frac{3-(-1)}{2-4} = \frac{4}{-2} = -2

plug in the values to the equation <u>y = mx + b</u>

<u />

-1 = -2(4) + b

-1 = -8 + b

7 = b

now, we can substitute in m and b into the equation y = mx + b

<u><em>y = -2x + 7</em></u>

5 0
2 years ago
Combine Like Terms and Eliminate Parenthesis.<br>5z-[2z-(13z+8)]
katen-ka-za [31]

We need to start from the innermost parenthesis and work our way out.

The first parenthesis is 13z+8. These are not like terms because one involves a variable, while the other is a constant term. Two terms are summable if they involve the same power(s) of the same variable(s).

So, we can take one step outwards, and we arrive to the square brackets. We have

2z-13z-8

and 2z and -13z are like terms, so we can sum them:

2z-(13z +8) = 2z-13z-8 = (2-13)z-8 = -11z-8

Finally we arrive to the whole expression, which is

5z-(-11z-8) = 5z+11z+8 = (5+11)z+8=16z+8

Because, again, 5z and 11z were like terms.

6 0
3 years ago
Solve the inequality for x. 75+15x is greater than or equal to 140
Gre4nikov [31]
75+ 15x ≥ 140
⇒ 15x ≥ 140 -75
⇒ 15x ≥ 65
⇒ x ≥ 65/15
⇒ x ≥ 13/3
⇒ x ≥ 4 1/3

The final answer is x ≥ 4 1/3~
8 0
3 years ago
10^(-10log3) How to solve this???
Olenka [21]
a^{log_ab}=b\\and\\log_ab^c=c\cdot log_ab\\\\\\10^{-10log3}=10^{log3^{-10}}=3^{-10}\\\\\\3^{-10}=\frac{1}{3^{10}}=\frac{1}{59\ 049}
4 0
2 years ago
Sketch a graph of y=1/2x-2
Vinil7 [7]

Answer:

Step-by-step explanation:

Hope this helps! Please mark as brainlest.

Thanks!

4 0
2 years ago
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