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3 years ago

Expand to write an equivalent expression -5(7m-2)

1 answer:

Elena-2011 [213]3 years ago

5 0

So lets use the distributive property on this problem:

First we multiply-
-5(7m)= -35m
Next we multiply-
-5(-2)=10
Its a positive 10 and not a negative because two negatives equal a positive.
And then we just put it together so our new expression would be
-35m+10

You might be interested in

Find the value of m if 13m + 24m = 41m<br>

grigory [225]

Answer:

m=0

Step-by-step explanation:

Add

13m

and

24m

.37

41m

Move all terms containing m

to the left side of the equation.

6 0

2 years ago

Solve each equation 2n-5=21

aleksklad [387]

2n-5=21
add 5 to both sides
2n=26
divide both sides by 2
n=13

I hope I helped! :)

4 0

3 years ago

Many doctors rely on the use of intravenous medication administration in order to achieve an immediate response of a particular

rewona [7]

The domain of the function is 0 ≤ t ≤ 3 and the greatest concentration of the medication is 2mg/L

<h3>The domain of the function</h3>

The equation of the function is given as:

$C(t) = \frac{-18t^2 + 54t}{t^2 + 7t + 10}$

Time can be 0 or greater but cannot be negative.

So, the domain of the function includes t ≥ 0

Set the function to 0 to determine the maximum value of t.

$\frac{-18t^2 + 54t}{t^2 + 7t + 10} = 0$

Cross multiply

$-18t^2 + 54t = 0$

Factor out -18t

-18t(t - 3) = 0

Divide both sides by -18t

t - 3 = 0

Add 3 to both sides

t = 3

This means that the maximum value of t is 3

Hence, the domain of the function is 0 ≤ t ≤ 3

<h3>The greatest concentration of the medication</h3>

From the graph of the function (see attachment), we have the maximum value to be;

C(t) = 2

Hence, the greatest concentration of the medication is 2mg/L