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erik [133]
2 years ago
5

SOLVING THE SYSTEM BY ELIMINATION!

Mathematics
1 answer:
Sholpan [36]2 years ago
7 0
Distribute the 2 to get the pink box

10x + 2y = 18
Then if we are subtracting the bottom equation from the pink box
10x + 2y = 18
-(10x -7y = -18)
9y = 36
y = 4
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Find the least common multiple of 5 10 and 15
Sedbober [7]
The answer to the question

7 0
3 years ago
Find derivative problem<br> Find B’(6)
dalvyx [7]

Answer:

B^\prime(6) \approx -28.17

Step-by-step explanation:

We have:

\displaystyle B(t)=24.6\sin(\frac{\pi t}{10})(8-t)

And we want to find B’(6).

So, we will need to find B(t) first. To do so, we will take the derivative of both sides with respect to x. Hence:

\displaystyle B^\prime(t)=\frac{d}{dt}[24.6\sin(\frac{\pi t}{10})(8-t)]

We can move the constant outside:

\displaystyle B^\prime(t)=24.6\frac{d}{dt}[\sin(\frac{\pi t}{10})(8-t)]

Now, we will utilize the product rule. The product rule is:

(uv)^\prime=u^\prime v+u v^\prime

We will let:

\displaystyle u=\sin(\frac{\pi t}{10})\text{ and } \\ \\ v=8-t

Then:

\displaystyle u^\prime=\frac{\pi}{10}\cos(\frac{\pi t}{10})\text{ and } \\ \\ v^\prime= -1

(The derivative of u was determined using the chain rule.)

Then it follows that:

\displaystyle \begin{aligned} B^\prime(t)&=24.6\frac{d}{dt}[\sin(\frac{\pi t}{10})(8-t)] \\ \\ &=24.6[(\frac{\pi}{10}\cos(\frac{\pi t}{10}))(8-t) - \sin(\frac{\pi t}{10})] \end{aligned}

Therefore:

\displaystyle B^\prime(6) =24.6[(\frac{\pi}{10}\cos(\frac{\pi (6)}{10}))(8-(6))- \sin(\frac{\pi (6)}{10})]

By simplification:

\displaystyle B^\prime(6)=24.6 [\frac{\pi}{10}\cos(\frac{3\pi}{5})(2)-\sin(\frac{3\pi}{5})] \approx -28.17

So, the slope of the tangent line to the point (6, B(6)) is -28.17.

5 0
3 years ago
If Jerry has four apples and you take away two how many does Jerry have
Effectus [21]

Answer:

Jerry will have two apples only

4-2=2

7 0
3 years ago
Read 2 more answers
since this was my first time you guys are in for a treat .... FREE POINTS answer question " 1+0 " don't for get to friend me :)
ollegr [7]

Answer:

1

Step-by-step explanation:

1+0=1

6 0
3 years ago
Read 2 more answers
Solve the equation. Then check your solution. 1.6a=-9.12
balu736 [363]
B.) a=-5.7
1.6(a)=-9.12
(a)=(-9.12)/(1.6)
a=-5.7
7 0
3 years ago
Read 2 more answers
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