-4+6(-4x+3) combining like terms & distributive property

Mathematics

2 answers:

Damm [24]2 years ago

8 0

After using distributive property and combining like terms the answer is -2

beks73 [17]2 years ago

4 0

-4 + 6 (4x+3)

Disribute 6 into both numbers in the parenthesis. So that means...

6 x 4x = 24x

6x3 = 18

Your new expression is:

-4 +24x +18

Combine ALL like terms:

-4 + 18 = 14

New Expression:

14 + 24x

And since you don't have any equal sign, that's as much as you can do to simplify the expression.

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What is the slope of 4x+5y= -10

Aleonysh [2.5K]

Answer:

$-\frac{4}{5}$

Step-by-step explanation:

To find the slope, rearrange the equation to y=mx+b or y=mx+c.

$4x+5y=-10$

Subtract 4x from both sides:

$5y=-10-4x$

Divide 5 on both sides:

$y=\frac{-10-4x}{5}$

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In the equation of y=mx+b/y=mx+c, m will be the slope.

Therefore, the slope is $-\frac{4}{5}$

6 0

3 years ago

For f(x) = 3x +1 and g(x) = x2 – 6, find (f- g)(x).

Fiesta28 [93]

Answer:

$\boxed{\sf (f-g)(x) = -{x}^{2} + 3x + 7}$

Given:

$\sf f(x) = 3x + 1 \\ \sf g(x) = {x}^{2} - 6$

To find:

$\sf (f - g)(x) = f(x) - g(x)$

Step-by-step explanation:

$\sf \implies(f - g)x = f(x) - g(x) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3x + 1) - ( {x}^{2} - 6) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3x + 1) + (- {x}^{2} + 6) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3x + 1 - {x}^{2} + 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - {x}^{2} + 3x + 1 + 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = -{x}^{2} + 3x + 7$