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3 years ago

Simplify 12 + 3(2x - 3) + 4.

Mathematics

1 answer:

raketka [301]3 years ago

6 0

Answer:

7 + 6x

Step-by-step explanation:

12 + 3(2x - 3) + 4 =

12 + 6x - 9 + 4 =

7 + 6x

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Find the equation of the line with slope = 2 and y-intercept = -8.

elena-s [515]

Answer: d

Step-by-step explanation:

Using the linear equation y=mx+b, you are given m (the slope) and b (the y-intercept). m=2 and b=-8. Therefore, y=2x-8

6 0

3 years ago

What are the solutions to the following system of equations? y = x2 + 3x − 7 3x − y = −2 (2 points) (3, 11) and (−3, −7) (11, 3)

Minchanka [31]

ANSWER

(3, 11) and (−3, −7)

EXPLANATION

The given system of equations are:

$y = {x}^{2} + 3x - 7$

and

$3x - y = - 2$

or

$y = 3x + 2$

We equate the two equations to obtain,

${x}^{2} + 3x - 7 = 3x + 2$

We rewrite in standard quadratic form to obtain,

${x}^{2} + 3x - 3x - 7 - 2 = 0$

This simplifies to

${x}^{2}- 9= 0$

We solve for x to obtain,

${x}^{2} = 9$

$x = \pm \sqrt{9}$

$x = \pm 3$

$x = 3 \: or \: x = - 3$

When
$x = 3$

$y = 3(3) + 2 = 11$

When x=-3,

$y = 3( - 3) + 2 = - 7$

Therefore the solution for the system is (3, 11) and (−3, −7).

7 0

2 years ago

Read 2 more answers

Simplify square root of (1-cos)(1+cos)/cos^2

Pavel [41]

I hope this helps you

(1-cosx)(1+cosx)=1+cosx-cosx-cos²x=1-cos²x=sin²x

sin²x
____
cos²x

tg²x

3 0

3 years ago

ⓌⒽⓎ ⓜⓊⓈⓉ ⓉⒽⒺ ⓇⒺⓜⒶⒾⓃⒹⒺⓇ ⒷⒺ ⓁⒺⓈⓈ ⓉⒽⒶⓃ ⓉⒽⒺ ⒹⒾⓋⒾⓈⓄⓇ

Lynna [10]

Answer:

The remainder is the number that is left over after dividing. It is always less than the divisor. The remainder is an essential part of the answer and is shown in the quotient preceded by the letter R.

Step-by-step explanation:

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3 years ago

Find the pattern in the Fibonacci sequence and identify the next two terms.

klasskru [66]

For the Fibonacci sequence you add the two previous numbers. You always start with 0, 1 and you add 0 and 1 which makes 1 then 1 + 1 makes two and so on. The next number in the sequence would be 34 + 55, meaning 89, and after that would be 55 + 89, or 144.

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3 years ago