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KATRIN_1 [288]
3 years ago
15

Find the solutions to the equation by completing the square.

Mathematics
1 answer:
rjkz [21]3 years ago
8 0

Answer:

Step-by-step explanation:

hello :

x² - 6x = 7

x² - 6x+9-9___= 7

(x - 3 )²= __16_

x - 3= +/-_4__

x-3=4__and x-3 =_-4_

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The 3rd term of (a-b)4 is
fgiga [73]

The third term of the expansion is 6a^2b^2

<h3>How to determine the third term of the expansion?</h3>

The binomial term is given as

(a - b)^4

The r-th term of the expansion is calculated using

r-th term = C(n, r - 1) * x^(n - r + 1) * y^(r - 1)

So, we have

3rd term = C(4, 3 - 1) * (a)^(4 - 3 + 1) * (-b)^(3-1)

Evaluate the sum and the difference

3rd term = C(4, 2) * (a)^2 * (-b)^2

Evaluate the exponents

3rd term = C(4, 2) * a^2b^2

Evaluate the combination expression

3rd term = 6 * a^2b^2

Evaluate the product

3rd term = 6a^2b^2

Hence, the third term of the expansion is 6a^2b^2

Read more about binomial expansion at

brainly.com/question/13602562

#SPJ1

4 0
1 year ago
Given the following linear function sketch the graph of the function and find the domain and range f(x)=-3x+7
natka813 [3]
<h3>Answer:</h3>

see attached for a graph

domain and range: all real numbers

<h3>Step-by-step explanation:</h3>

The function is written in slope-intercept form, showing that it has a slope of -3 and a y-intercept of +7. The y-intercept (0, 7) is a point on the line, as is a point 1 unit to the right and down 3 units, (1, 4).

The graph will be the line through these two points.

_____

As with any odd-degree polynomial function, both domain and range are all real numbers: (-∞, ∞).

6 0
3 years ago
T is the midpoint of RS, T has coordinates (6, 4), and S has coordinates (3,-2). What are the
Fynjy0 [20]

Answer:

help

Step-by-step explanation:

3 0
3 years ago
Write a mathematical sentence for the inequality twice the difference of a number and seven is less than or equal to forty
Illusion [34]

2x +   7\leqslant 40
Sounds like that to me but that is symbolically showing of that's what your teacher means as mathematical sentence
5 0
3 years ago
Read 2 more answers
Please evaluate this
siniylev [52]

Answer:

y = 2 \: and \: x = 2.5

y=2x-3

2=2

y = 2x - 3 \\ y =  |2 \times 2.5|  - 3 \\ y = 5 - 3 \\ y = 2 \\

And

8 0
3 years ago
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