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3 years ago

HELP please I’ll post a picture to make it easier to look at (I made it to get 20 points)!!!

Mathematics

1 answer:

Trava [24]3 years ago

6 0

Answer:

Both expressions are = to 11 when x is 2.

Therefore, the expressions are equivalent.

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2. What is the location of item 2?

Vikentia [17]

Answer:

(3,1)

Step-by-step explanation:

8 0

3 years ago

Snape has 2000 mL of a magic potion solution that is 30% DeMuggle Juice. He also has hundreds of 25 mL bottles that are full of

ELEN [110]

Answer:

Step-by-step explanation:

We use the equation for the percentage of solute concentration in a solution:

$volume percent = \frac{volume of solute}{volume of solution} * 100$ (1)

In this case the equiation (1) is transformed into:

$34 = \frac{Total volume of DeMuggle juice}{Total volume of the magic potion} * 100$ (2)

n = number of times he must waves his wand to have a solution that is at least 34% DeMuggle juice.

Vpo = Initial volume of the magic potion = 2000ml

Vjo= Initial volume of DeMuggle juice = 30% * Vpo = (0.3)2000 = 600ml

Vb= Volume of a bottle = 25ml

Vjb = DeMuggle juice volume in a bottle = 75% * Vb = (0.75)25= 18.75ml

Vpmt = Total volume of the magic potion = 2000 + 25*n = Vpo + Vb * n

Vjt = Total volume of DeMuggle juice = 600 + 18.75*n = Vjo + Vjb * n

Replacing in (2):

$34 = \frac{600 + 18.75*n }{2000 + 25*n} *100$

$\frac{34}{100} (2000 + 25*n) = (600 + 18.75* n)$

$680+8.5*n=600+18.75*n$

$80 = 10.25*n$

$n = 7.8$

Since the number of times the wand should be waved must be an integer, it approximates 8

Replacing n=8 in (1)

$\frac{600+(18.75*8)}{2000+(25*8)} *100 = 34.0909$

6 0

4 years ago

Let y=f(x)=(3x+7)/(x-2) <br> find a rule for f^-1

Murrr4er [49]

Answer:

$f^{-1}(x)=\frac{2x+7}{x-3}$ .

Step-by-step explanation:

The given function is $f(x)=\frac{3x+7}{x-2},\:x\ne2$ .

We want to find a rule for $f^{-1}(x)$ .

Let $y=\frac{3x+7}{x-2}$ .

Interchange x and y.

$x=\frac{3y+7}{y-2}$ .

Solve for y.

$x(y-2)=3y+7$ .

Expand

$xy-2x=3y+7$ .

Group y-terms

$xy-3y=7+2x$ .

Factor

$(x-3)y=7+2x$ .

$y=\frac{2x+7}{x-3}$ .

$\therefore f^{-1}(x)=\frac{2x+7}{x-3},\:x\ne3$ .

8 0

3 years ago

which of the following represents a relation that is not a function? a. x -8 -6 7 10 y 33 31 39 33 b. x -8 -6 0 3 y 33 31 39 33

boyakko [2]

X => -8 -6 -8 3
y => 33 31 39 33
is not a function because the x value -8 results to two different y-values 33 and 39.

8 0

4 years ago

Write the scientific notation for 2,460,000

Diano4ka-milaya [45]

It would be equalto 2.4 * 10^6

4 0

4 years ago