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3 years ago

Please help! urgent! how do I put this in slope- intercept form?? Y=MX+B

Mathematics

1 answer:

kap26 [50]3 years ago

3 0

$3x-5y=10\\\\
5y=3x-10\\\\
y=\dfrac{3}{5}x-2$

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In a certain year, brand A of heart-rate watch cost $39.99 and brand B cost $59.99. A nonprofit community health organizatio

Oksi-84 [34.3K]

Answer:

Brand A = 21 heart-rate watches.

Brand B = 13 heart-rate watches.

Step-by-step explanation:

Let A be the number of Brand A heart watches and B be the number of Brand B heart watches.

We have been given that a nonprofit community health organization purchased 34 heart-rate watches for use at a wellness center.

We can represent this information in an equation as:

$A+B=34...(1)$

We have been given that in a certain year, brand A of heart-rate watch cost $39.99 and brand B cost $59.99 and the organization spent $1619.66 for the watches.

We can represent this information in an equation as:

$39.99*A+59.99*B=1619.66...(2)$

We will use substitution method to solve our system of equations.

From equation (1) we will get,

$A=34-B$

Substituting $A=34-B$ in equation(2) we will get,

$39.99*(34-B)+59.99*B=1619.66$

$1359.66-39.99*B+59.99*B=1619.66$

$-39.99*B+59.99*B=1619.66-1359.66$

$20*B=260$

$B=\frac{260}{20}$

$B=13$

Therefore, the organisation purchased 13 heart-rate watches of brand B.

Now let us substitute B=13 in equation (1).

$A+13=34$

$A+13-13=34-13$

$A=21$

Therefore, the organisation purchased 21 heart-rate watches of brand A.

8 0

3 years ago

What is the value of X if 9^x^-^1-2=25?

nadezda [96]

Answer:

$\frac{5}{2}$

Step-by-step explanation:

First, add two to both sides to get $9^{x-1}=27$

There are two ways to solve this from here

Think about what power you would have to raise 9 to to get to 27. $9^{\frac{1}{2}}$ = 3 and $3^3=27$ . So, multiplying the powers (because it is a power to a power) you get $9^{\frac{3}{2}}=27$ . This means that $x - 1 = \frac{3}{2}$ or x = $\frac{5}{2}$ .
Take the log of both sides.