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3 years ago

Solve the system of equations algebraically. Show all of your steps

1 answer:

4 0

I am going to explain this using the substitution method, considering it appears to be the best in this situation.

We know (from the bottom equation) that y can equal 3x+20. Using this knowledge, we substitute the y in the top equation for 3x+20. Now, we have an equation that looks like this:

3x+20=x^2+2x

Now we need to move x to one side and then do some radicals (square roots).
Subtract the 2x on the right (since it is smaller, negatives = NONONO), which will give you

x+20=x^2

Now, we take the square root of both sides to get

rad(x+20)=x

Now we have to simplify. 20 doesn't have a square root, but 4 goes into 20, and 4 has a square root of 2. This now becomes

2rad(x+5)

This doesn't simplify any further... we have a problem... no way to isolate x as far as my knowledge goes... Sorry, can't help you any further than that, but another person or your teacher might be able to. R.I.P...

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A pet store sold 36 Siamese cats. If the ratio of Siamese cats to house

White raven [17]

To determine the combined amount of cats sold: is equal to 117 cats

Let the number of Siamese cats sold be S.

Let the number of House cats sold be H.

Let the combined amount of cats sold be C.

<u>Given the following data:</u>

Number of Siamese cats sold = 36

Ratio of S to H = 4:9

Total ratio = 4 + 9 = 13

To determine the combined amount of cats sold:

The ratio of Siamese cats sold is given by:

$\frac{4}{13} \times C=36\\\\4C=36\times 13\\\\4C =468\\\\C=\frac{468}{4}$

C = 117 cats

8 0

2 years ago

A fish tank contains 18 goldfish and 22 guppies. If you randomly select 2 fish, what is the probability that they are both goldf

Leya [2.2K]

The total number of fish available in the tank is (18 + 22) = 40. The probability for 1 goldfish to be taken out would be 18/40. Now, after drawing the first fish, the probability to get another goldfish would be 17/39. And the probability to draw 2 goldfish would be the product of both probabilities. P = (18/40)(17/39) = 51/260 So,the answer is B.

3 0

3 years ago

Read 2 more answers

Find the endpoint:

scZoUnD [109]

Answer:

The coordinates of Point D are: (-5,-8)

Step-by-step explanation:

The formula for mid-point is given by:

$M = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})$

For the point (x1,y1) and (x2,y2)

Given that

M = (-3, -6)

C = (-1, -4) => (x1,y1)

Putting the values of given points in the formula for mid-point

$(-3,-6) = (\frac{-1+x_2}{2} , \frac{-4+y_2}{2})$

Putting respective coordinates equal

$-3 = \frac{-1+x_2}{2}\\-6 =-1+x_2\\x_2=-6+1\\x_2 = -5\\AND\\-6 = \frac{-4+y_2}{2}\\-12 = -4+y_2\\y_2 = -12+4\\y_2 = -8$

Hence,

The coordinates of Point D are: (-5,-8)

3 0

2 years ago

Helllllp me pleaseeeeeeeeee

Andrej [43]

Answer:

10/11>9/11>7/11

Step-by-step explanation:

It is 10 out of eleven which is bigger than 9 out of eleven which is bigger than 7 out of eleven.

3 0

3 years ago

Gianna is preparing for the upcoming tennis season. According to her schedule, she can complete at most 10 workouts this week. I

Strike441 [17]

The whole number of minutes that Gianna complete each week as a function of x and y:
$45x+30y$
Since the above number is greater than 450 minutes, we get the inequality:
$45x+30y\geq450$
Also, "she can complete at most 10 workouts this week" so we deduce the inequality:
$\\x+y\leq10$
Therefore, the system of inequalities is the following:
$45x+30y\geq450$
$\\x+y\leq10$
The above system has many solutions, for example :

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3 years ago