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4 years ago

F(x)=(x-1)2-9 f(x)=(x+2)(x-4)

Mathematics

1 answer:

Vaselesa [24]4 years ago

7 0

Answer:

1. 2x−11

2. x²−2x−8

Step-by-step explanation:

Regroup terms.

Expand by distributing terms.

Collect like terms.

Simplify.

Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd(a+b)(c+d)=ac+ad+bc+bd.

Collect like terms.

Simplify.

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Determine if the conditional statement is true or false given the following: p is false. q is false. Is -q -p true or false?

Vikki [24]

Hello,

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if q is false then ~q is true

if ~p is true and ~q is true then ~q and ~p is true

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3 years ago

Graph the following piecewise function:

zhenek [66]

Check the picture below.

notice the solid circle at -4 and 3, since it includes those points.

also notice the dashed line, though the lines keeps on going those ways, is not included in the piece-wise, since it's not part fo the domain or constraints.

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4 years ago

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user100 [1]

Answer:

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3 years ago

Write the equation of the line that is perpendicular to y=2x-7 and passes through the point (6, 5)

Pani-rosa [81]

Answer:

Step-by-step explanation:

we are given a equation of a line

we want to figure out the equation of the perpendicular line passes through the (6,5) points

in order to do so

recall that,

$\displaystyle m_{ \text{perpendicular}} = - \frac{1}{m}$

we got from our given equation that m=2

because equation of a line is y=mx+b

thus

$\displaystyle m_{ \text{perpendicular}} = - \frac{1}{2}$

remember that, when we want to figure out perpendicular line or parallel line we should the formula given by

$\displaystyle y - y_{1} = m(x - x_{1})$

since we got our perpendicular m is -½, $x_1=6$ and $y_1=5$ , substitute

$\displaystyle y - 5 = - \frac{1}{2} (x - 6)$

to get the perpendicular equation you should simplify the above equation to y=mx+b form

distribute -½:

$\displaystyle y - 5 = - \frac{1}{2} x + 3$

add 5 to both sides:

$\displaystyle y = - \frac{1}{2} x + 8$

hence,

our answer choice is B

3 0

3 years ago

Read 2 more answers

Find the solution of this system of equations. -2x-6y=-16 4x-6y=-58

Yanka [14]

-(-2x-6y=-16)

2x+6y=16
4x-6y=-58

Y's cancel out, then add the rest

6x=-42

divide both sides by six

x=-7

plug x into any previous equation

2(-7)+6y=16

-14+6y=16

6y=30

y=5

6 0

3 years ago

Read 2 more answers