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3 years ago

What is the answer to Ax - c = b

2 answers:

8 0

Depends on what you are talking about, what is A,x,c and b.
If A is an invertible matrix and x,c,b are vectors of correct dimensions you get
Ax=b+c
x=A^(-1)(b+c)
if x is a variable and A,c,b are constants you get
Ax=b+c
x=(b+c)/A

kati45 [8]3 years ago

6 0

X=(b + c)/A is the correct answer

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Will mark brainliest!!!plz helppp

muminat

Answer:

(5,-6)

Step-by-step explanation:

ONE WAY:

If $f(x)=x^2-6x+3$ , then $f(x-2)=(x-2)^2-6(x-2)+3$ .

Let's simplify that.

Distribute with $-6(x-2)$ :

$f(x-2)=(x-2)^2-6x+12+3$

Combine the end like terms $12+3$ :

$f(x-2)=(x-2)^2-6x+15$

Use $(x-b)^2=x^2-2bx+b^2$ identity for $(x-2)^2$ :

$f(x-2)=x^2-4x+4-6x+15$

Combine like terms $-4x-6x$ and $4+15$ :

$f(x-2)=x^2-10x+19$

We are given $g(x)=f(x-2)$ .

So we have that $g(x)=x^2-10x+19$ .

The vertex happens at $x=\frac{-b}{2a}$ .

Compare $x^2-10x+19$ to $ax^2+bx+c$ to determine $a,b,\text{ and } c$ .

$a=1$

$b=-10$

$c=19$

Let's plug it in.

$\frac{-b}{2a}$

$\frac{-(-10)}{2(1)}$

$\frac{10}{2}$

$5$

So the $x-$ coordinate is 5.

Let's find the corresponding $y-$ coordinate by evaluating our expression named $g$ at $x=5$ :

$5^2-10(5)+19$

$25-50+19$

$-25+19$

$-6$

So the ordered pair of the vertex is (5,-6).

ANOTHER WAY:

The vertex form of a quadratic is $a(x-h)^2+k$ where the vertex is $(h,k)$ .

Let's put $f$ into this form.

We are given $f(x)=x^2-6x+3$ .

We will need to complete the square.

I like to use the identity $x^2+kx+(\frac{k}{2})^2=(x+\frac{k}{2})^2$ .

So If you add something in, you will have to take it out (and vice versa).

$x^2-6x+3$

$x^2-6x+(\frac{6}{2})^2+3-(\frac{6}{2})^2$

$(x+\frac{-6}{2})^2+3-3^2$

$(x+-3)^2+3-9$

$(x-3)^2+-6$

So we have in vertex form $f$ is:

$f(x)=(x-3)^2+-6$ .

The vertex is (3,-6).

So if we are dealing with the function $g(x)=f(x-2)$ .

This means we are going to move the vertex of $f$ right 2 units to figure out the vertex of $g$ which puts us at (3+2,-6)=(5,-6).

The $y-$ coordinate was not effected here because we were only moving horizontally not up/down.

3 0

3 years ago

Given the equation 5x + 23 = − 2x − 12, which order of operations completely solves for x?

Lady_Fox [76]

5x + 23 = -2x - 12
First, you carry the variables to one side and the rational numbers to the other.
5x + 23 = -2x - 12
- 23 = +23
________________
5x = -2x + 11
+2x = +2x
________________
7x = 11
The you divide 11 by 7 to get x.
x = 1.571

Hope this helps!

3 0

3 years ago

Suppose you and a friend are playing this game. You draw a card from a bag. Each card has one letter on it.

dem82 [27]

Answer:

No it is not fair how can two people win

6 0

3 years ago

Please help 6×-5=7-9×

GrogVix [38]

Assuming ya mean 6x-5=7-9x

remmember, you can do anything to an equation as long as you do it to both sides

6x-5=7-9x
add 9x to both sides
6x+9x-5=7+9x-9x
15x-5=7+0
15x-5=7
add 5 to both sies
15x+5-5=7+5
15x+0=12
15x=12
divide both sides by 15
$x=\frac{12}{15}$
$x=\frac{4}{5}$

so $x=\frac{4}{5}$

4 0

3 years ago

Help please .............

kow [346]

<h2>Answer: 88</h2><h2>Hope it helped!</h2>

7 0

2 years ago