Please help with this problem

What an equation for the translation of y=|x|. 13 unites down

Katen [24]

Answer:

$\large\boxed{y=|x|-13}$

Step-by-step explanation:

In this question, we're trying to make a new equation.

We know that:

We translated 13 units down

When it says down, we know that the y intercept would be changing.

Since there werer no y intercept or beginning point to start with, we know that before we translated, it was at 0.

Since we went down 13 units, we're subtracting 13 units from our original spot.

This means that we're going down -13.

When you put that into an equation, it should look like this:

y= |x| - 13

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>

8 0

3 years ago

Theodore invests a total of $17,500 in two accounts paying 2% and 12% annual interest, respectively. How much was invested in ea

iVinArrow [24]

Answer:

11,500 at 2% and $6,000 at 12%.

Step-by-step explanation:

Let x represent amount invested at 2% and y represent amount invested at 12%.

We have been given that Theodore invests a total of $17,500 in two accounts. We can represent this information in an equation as:

$x+y=17500...(1)$

$x=17500-y...(1)$

We are also told that he invested $17,500 in two accounts paying 2% and 12% annual interest, respectively. After one year, the total interest was $950.00.

Interest earned at 2% in one year would be $0.02x$ .

Interest earned at 12% in one year would be $0.12y$

$0.02x+0.12y=950...(1)$

Upon substituting equation (1) in equation (2), we will get:

$0.02(17500-y)+0.12y=950$

$350-0.02y+0.12y=950$

$350+0.10y=950$

$350-350+0.10y=950-350$

$0.10y=600$

$\frac{0.10y}{0.10}=\frac{600}{0.10}$

$y=6000$

Therefore, Theodore invested $6,000 at 12%.

Upon substituting $y=6000$ in equation (1), we will get:

$x=17500-6000$

$x=11500$

Therefore, Theodore invested $11,500 at 2%.

5 0

3 years ago

How to sovle <br> (x+1/x)^2

Slav-nsk [51]

$(\frac{x + 1}{x} ) ^{2} \\ = \frac{ {(x + 1)}^{2} }{ {x}^{2} } \\ = \frac{ (x + 1)(x + 1) }{ {x}^{2} } \\ = \frac{ {x}^{2} + 2x + 1}{ {x}^{2} }$

Hope you could get an idea from here.

Doubt clarification- use comment section.

4 0

2 years ago

Simplify<br><br> (4x+2)+(x-1)=

hoa [83]

Answer:

5x+1

Step-by-step explanation:

(4x+2)+(x-1)=

Combine like terms

4x+x +2 -1

5x+1

5 0

3 years ago

A protein mix claims to contain a bonus of 20% more mix than the usual size container. If the bonus size contains 18 ounces of m

agasfer [191]

Answer:

The usual size of the container is 15 ounces.

Step-by-step explanation:

Consider the provided information.

A protein mix claims to contain a bonus of 20% more mix than the usual size container.

Let the usual size of the container was x ounces.

They increase 20% of usual size and the bonus size is 18 ounces.

Therefore, the new size should be:

$x+20\%x=18$

$x(1+0.20)=18$ (∴20%= $\frac{20}{100}$ =0.20)

$x(1.20)=18$

$x=\frac{18}{1.20}$

$x=15$

Hence, the usual size of the container is 15 ounces.

3 0

3 years ago