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3 years ago

1. Simplify: (6-√5)(5+√5)

2 answers:

7 0

150 because 6 times 5 is 30 then you multiply whats inside the square root thing so you'd get 25, 25 is a perfect square which simplifies to 5 then 5 times 30 is 150.

PtichkaEL [24]3 years ago

5 0

The answer is 25 + $\sqrt{5}$

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One equation in a system of equations is y = 3/4x - 1. For which second equation would the system have exactly one solution? cho

Zina [86]

Answer:

ace

Step-by-step explanation:

5 0

2 years ago

Function f is an exponential function. It predicts the value of a famous painting, in thousands of dollars, as a function of the

nalin [4]

Answer:

$y=8 \cdot (\frac{5}{4})^x$

$f(x)=8 \cdot (\frac{5}{4})^x$

$f(x)=8 \cdot (1.25)^x$

Step-by-step explanation:

We are going to see if the exponential curve is of the form:

$y=a \cdot b^x$ , ( $b\neq 0$ ).

If you are given the $y-$ intercept, then $a$ is easy to find.

It is just the $y-$ coordinate of the $y-$ intercept is your value for $a$ .

(Why? The $y-$ intercept happens when $x=0$ . Replacing $x$ with 0 gives $y=a \cdot b^0=a \cdot 1=a$ . This says when $x=0 \text{ that} y=a$ .)

So $a=8$ .

So our function so far looks like this:

$y=8 \cdot b^x$

Now to find $b$ we need another point. We have two more points. So we will find $b$ using one of them and verify for our resulting equation works for the other.

Let's do this.

We are given $(1,10)$ is a point on our curve.

So when $x=1$ , $y=10$ .

$10=8 \cdot b^1$

$10=8 \cdot b$

Divide both sides by 8:

$\frac{10}{8}=b$

Reduce the fraction:

$\frac{5}{4}=b$

So the equation if it works out for the other point given is:

$y=8 \cdot (\frac{5}{4})^x$

Let's try it. So the last point given that we need to satisfy is $(2,12.5)$ .

This says when $x=2$ , $y=12.5$ .

Let's replace $x$ with 2 and see what we get for $y$ :

$y=8 \cdot (\frac{5}{4})^2$

$y=8 \cdot \frac{25}{16}$

$y=\frac{8}{16} \cdot 25$

$y=\frac{1}{2} \cdot 25}$

$y=\frac{25}{2}$

$y=12.5$

So we are good. We have found an equation satisfying all 3 points given.

The equation is $y=8 \cdot (\frac{5}{4})^x$ .

4 0

3 years ago

What is 9x-5-8+x= what

Elanso [62]

Hi there!

First you simplify.

Simplified = 9x+(−5)+(−8)+x

Then you combine the like terms.

9x+(−5)+(−8)+x (*-5 and -8 are like terms) (9x and x are like terms)

Combined it's~ (9x+x)+(−5+−8)

Solve and that comes to 10x+−13 which is your answer. :)

Hope this helps.

3 0

2 years ago

Your paycheck is $800 every two weeks. Each month, your fixed expenses include the following: $675 for rent; $200 for utilities;

kobusy [5.1K]

Answer:

Gary earned a gross pay of $1,047.30 last week. Using the fact that Social Security tax is 6.2% of gross pay, determine the amount of Social Security tax deducted from Gary's gross pay.

$6.49

Step-by-step explanation:

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2 years ago

Read 2 more answers

Simplify these expressions 2a + 5a 12x-3x 3p+2p-p

Novosadov [1.4K]

Step-by-step explanation:

1.solution

=2a+5a

=7a

2.solution

=12x-3x

=9x

3.solution

=3p+2p-p

=5p-p

=4p

Hope it helps you.

6 0

2 years ago

Read 2 more answers