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vfiekz [6]
3 years ago
9

Enter the y coordinate of the solution 5x 2y=21 and -2x 6y=-34

Mathematics
1 answer:
Tatiana [17]3 years ago
4 0
<span>he given system of equations: 
 


 Multiply the both sides of the first equation by 3. 


 Distribute and multiply. 


 Multiply the both sides of the second equation by 2. 


 Distribute and multiply. 


So we have the new system of equations: 

 


Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this: 


 


 Group like terms. 


 Combine like terms. 


 Simplify. 


 Divide both sides by  to isolate . 



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


 Now go back to the first equation. 


 Plug in . 


 Multiply. 


 Multiply EVERY term by the LCD  to clear any fractions. 


 Multiply and simplify. </span>
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Answer:

4 sec

Step-by-step explanation:

let y = 0 which is the height when the rocket hits the ground

-3t^2 + 6t + 24 = 0

-3(t^2 - 2t - 8) = 0

-3(t - 4)(t + 2) = 0

t = 4  or t = -2

time cannot be negative, so t = 4 sec

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3 years ago
How do you solve 2x^2+x=-1?
Olin [163]

Answer:

x = 0.2

Step-by-step explanation:

2x^2+x=-1

4x + x = -1

5x = -1

divide by 5

5x/5 = -1/5

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(13+3x) + 166 = 180​
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Read 2 more answers
Let f(x) = 1/x . Find the number b such that the average rate of change of f on the interval [2, b] is − 1/8
vekshin1

Answer:

b=4

Step-by-step explanation:

So, we have the function f(x)=1/x. We need to find b such that the average rate of change or the slope is -1/8 between the intervel [2, b]. First, let's find f(2).

f(2) = 1/(2) = 1/2

So, we have the point (2, 1/2)

At point b, f(b) = 1/b.

Let's plug this into the slope formula:

\frac{y_2-y_1}{x_2-x_1}=\frac{.5-\frac{1}{b} }{2-b}  =-1/8

Now, we just need to solve for b. First, let's multiply both the numerator and denominator by b (to get rid of the annoying fraction in the numerator).

\frac{.5b-1}{2b-b^2} =\frac{-1}{8}

Now, cross multiply.

4b-8=b^2-2b

b^2-6b+8=0

Solve for b. Factor using the numbers -4 and -2.

=(b-4)(b-2)=0

Thus, b=4 or b=2.

However, b=2 is not a possible solution since the interval [2,2] means nothing. Thus, b=4.

4 0
2 years ago
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