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2 years ago

Factor x2+4x+3.

Mathematics

1 answer:

Alexxx [7]2 years ago

8 0

Answer:

c. (x +3)(x + 1)

Step-by-step explanation:

Factoring an equation is a way of expressing an equation as the product of other linear expressions. The following expression,

$x^2 +4x +3$

Can be represented as the product of the following,

$(x+3)(x+1)$

To check this, one can distribute, one of the expressions over the other, then simplify, the result should be the starting expression,

$(x+3)(x+1)\\$

Distribute,

$(x)(x)+(1)(x)+(3)(x)+(3)(1)$

Simplify,

$x^2 +x +3x + 3\\$

$x^2 +4x +3$

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The cost of a parking permit consists of a one-time administration fee plus a monthly fee. a permit purchased for 12 months cost

julsineya [31]

let

x--------> the monthly fee

y--------> the administration fee

we know that

$660=y+12x$ --------> equation $1$

$810=y+15x$ --------> equation $2$

Multiply by $-1$ equation $1$

$-660=-y-12x$ ------> equation $3$

Adds equation $2$ and equation $3$

$810=y+15x\\-660=-y-12x\\---------\\ 810-660=15x-12x\\ 3x=150\\ x=50\ dollars$

Find the value of y

$660=y+12x\\ 660=y+12*50\\ y=660-600\\ y=60\ dollars$

therefore

the answer is

the administration fee is equal to $60\ dollars$

4 0

2 years ago

Read 2 more answers

Jacob runs 5 miles in 1 1/2 hours . Robert runs 3 miles in 45 minutes or 3/4 hour. Who runs faster

IgorLugansk [536]

Answer:

Robert

Step-by-step explanation:

If Robert runs 3 miles in 45 minutes, by the end of 90minutes, Robert would have covered 6miles, while Jacob covered 5miles in 90 minutes, therefore, Robert ran faster than Jacob.

5 0

2 years ago

Find x so that x, X +2, X'+3 are the first three terms of a geometric sequence. Then find the 5" term of the

velikii [3]

Answer:

The fifth term is -1/4.

Step-by-step explanation:

We know that the first three terms of the geometric sequence is x, x + 2, and x + 3.

So, our first term is x.

Then our second term will be our first term multiplied by the common ratio r. So:

$x+2=xr$

And our third term will be our first term multiplied by the common ratio r twice. Therefore:

$x+3=xr^2$

Solve for x. From the second term, we can divide both sides by x:

$\displaystyle r=\frac{x+2}{x}$

Substitute this into the third equation:

$\displaystyle x+3=x\Big(\frac{x+2}{x}\Big)^2$

Square:

$\displaystyle x+3 = x\Big( \frac{(x+2)^2}{x^2} \Big)$

Simplify:

$\displaystyle x+3=\frac{(x+2)^2}{x}$

We can multiply both sides by x:

$x(x+3)=(x+2)^2$

Expand:

$x^2+3x=x^2+4x+4$

Isolate the x:

$-x=4$

Hence, our first term is:

$x=-4$

Then our common ratio r is:

$\displaystyle r=\frac{(-4)+2}{-4}=\frac{-2}{-4}=\frac{1}{2}$

So, our first term is -4 and our common ratio is 1/2.

Then our sequence will be -4, -2, -1, -1/2, -1/4.

You can verify that the first three terms indeed follow the pattern of x, x + 2, and x + 3.

So, our fifth term is -1/4.

4 0

3 years ago

What is 77.2-43.778? what is 2.072 divided by 5.6

Shkiper50 [21]

2.072/5.6= 0.37

77.2- 43.778= 33.422

Hope this helps!

~LENA~

8 0

2 years ago

17. Solve the following: x – 3y = 5 5x – 2y = -1

Phantasy [73]

Answer:

(- 1, - 2 )

Step-by-step explanation:

Given the 2 equations

x - 3y = 5 → (1)

5x - 2y = - 1 → (2)

Rearrange (1) expressing x in terms of y by adding 3y to both sides

x = 5 + 3y → (3)

Substitute x = 5 + 3y in (2)

5(5 + 3y) - 2y = - 1 ← distribute left side

25 + 15y - 2y = - 1

25 + 13y = - 1 ( subtract 25 from both sides )

13y = - 26 ( divide both sides by 13 )

y = - 2

Substitute y = - 2 in (3) for corresponding value of x

x = 5 + (3 × - 2) = 5 - 6 = - 1

Solution is (- 1, - 2 )

8 0

2 years ago