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Yuliya22 [10]
2 years ago
14

Solve the nonlinear system of equations y=6x y=x^2 -7x +12

Mathematics
1 answer:
yuradex [85]2 years ago
3 0

Answer: (1, 6) and (12, 72)

Step-by-step explanation:

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A chemical company makes two brands of antifreeze. The first brand is 20% pure antifreeze, and the second brand is 70% pure anti
andre [41]

Answer:

First brand of antifreeze: 21 gallons

Second brand of antifreeze: 9 gallons

Step-by-step explanation:

Let's call A the amount of  first brand of antifreeze. 20% pure antifreeze

Let's call B the amount of second brand of antifreeze. 70% pure antifreeze

The resulting mixture should have 35% pure antifreeze, and 30 gallons.

Then we know that the total amount of mixture will be:

A + B = 30

Then the total amount of pure antifreeze in the mixture will be:

0.2A + 0.7B = 0.35 * 30

0.2A + 0.7B = 10.5

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.7 and add it to the second equation:

-0.7A -0.7B = -0.7*30

-0.7A -0.7B = -21

-0.7A -0.7B = -21

               +

0.2A + 0.7B = 10.5

--------------------------------------

-0.5A = -10.5

A = \frac{-10.5}{-0.5}

A = 21\ gallons

We substitute the value of A into one of the two equations and solve for B.

21 + B = 30

B = 9\ gallons

3 0
3 years ago
Martino drove 1,734 miles in 34 hours. What was his average speed for e trip, in miles per hour? ​
Aliun [14]

Answer:

51 mph

Step-by-step explanation:

1734  miles

---------------- (per)

34 hours

you would divide. think of it as a fraction

1734

----

34

the numerator is miles and the denominator is hours. divide the numerator (the top number) by the denominator (the bottom number).

1734/34= 51

therefore, martino drove 51 miles per hour

Hope this helps!

7 0
3 years ago
Find the value of x, round to the nearest 10th<br><br>I will give brainliest
Fudgin [204]
ACB + BAC =90
ACB + 37 = 90
ACB = 53
Tan (53) = 10/x
X= 7.536
(Hope this helped have a great day)
7 0
2 years ago
Which graph shows a set of ordered pairs that represent a function? On a coordinate plane, solid circles appear at the following
NemiM [27]

Answer:

1,3) or c

Step-by-step explanation:

6 0
3 years ago
E = { x l x is a perfect square &lt;36}
vredina [299]

Answer:

E = { x l x is a perfect square <36}

And we can rewrite it taking in count the list of all the perfect squares less than 36 and we have:

1= 1*1

4= 2*2

9 = 3*3

16 =4*4

25= 5*5

And we can rewrite the set on this way:

E= {1,4,9,16,25}

Step-by-step explanation:

For this problem we have the following set:

E = { x l x is a perfect square <36}

And we can rewrite it taking in count the list of all the perfect squares less than 36 and we have:

1= 1*1

4= 2*2

9 = 3*3

16 =4*4

25= 5*5

And we can rewrite the set on this way:

E= {1,4,9,16,25}

5 0
3 years ago
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