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tatiyna
3 years ago
14

Which is the best approximation for the solution of the system of equations?

Mathematics
1 answer:
SpyIntel [72]3 years ago
5 0

Answer:

(0.88, 0,65)

Step-by-step explanation:

what do we have to do ? I assume we need to find the crossing point between the 2 lines.

when looking at the graphic, we can already rule out the first, third and fourth option.

none of the coordinates of that point is larger than 1 in any direction or smaller than 0.5.

so, just by looking at things I immediately "bet" on answer option 2 (0.88, 0.65).

but let's check.

y = -2x/5 + 1

y = 3x - 2

for the crossing point both functions must produce the same functional value.

=>

-2x/5 + 1 = 3x - 2

-2x/5 + 5/5 = 15x/5 - 10/5

-2x + 5 = 15x - 10

15 = 17x

x = 15/17 = 0.88...

y = 3×0.88... -2 = 0.65...

hurray, our original observation and "suspicion" is confirmed.

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Simplify the following v^4*v^5*v
Hunter-Best [27]

Answer:

v^10

Step-by-step explanation:

For this, we need to understand one important rule of exponents.  For powers of like bases, you add the exponents when they are being multiplied.  With this in mind let's continue.

In this problem, the base is v, each multiplied with different powers.  So:

v^4 * v^5 * v = v^(4+5+1) = v^10

So the solution will be v^10.

An additional example would be 2^2 * 2^3.

For this we know it would be 2^2 * 2^3 = 2^(2+3) = 2^5 = 32.

We can verify by simply doing 2 * 2 * 2 * 2 *  2 = 32.  Note both are 32, and this example shows the usefulness of exponent rules.

Hope this helps.  Cheers.

3 0
3 years ago
Read 2 more answers
Need help with this question please!!
lara31 [8.8K]

Answer:

C. 1/2

There are many ways to do this but I'll use substitution.

Step-by-step explanation:

Bottom equation yields x = 4 - 8y

plug that into the top equation results in:

4(4 - 8y) - y = 3y + 7

Simplify this to find y:

-36y = -9

y = 1/4

Plug that into the bottom equation we get:

x = 4 - 2 = 2

Thus, xy = 2(1/4) = 1/2 (C)  

7 0
3 years ago
What is the answer to <br> -x/4-2=x+3
lyudmila [28]

Answer:

-4

Step-by-step explanation:

6 0
3 years ago
andy is scuba diving he starts at sea level and then descends 10 feet in 2 1/2 minutes. how would you represent andy’s descent a
UNO [17]

Answer:

4 feet/minute

explanation:

The rate of descent = (10 feet)/(2.5 mn) = 4 ft/min

6 0
3 years ago
there are six muffins in a package how many packages will be needed to feed 48 people if each person has two muffins
wolverine [178]

Answer:

16 packages of muffins

Step-by-step explanation:

1) First you need to find out how many muffins you need total. If each person has two muffins and there are 48 people, how muffins would that be? To find out, multiply 48 and 2 together.

48 * 2 = 96

So now we know that we must have 96 muffins in total

2) Now we have to find out how many muffin packages we will need. If there are 6 muffins in each package and we need to have 96 muffins in total, how many packages will we need? To find out, divide 96 by 6.

96/6 = 16


From this we know that you will need 16 packages

3 0
3 years ago
Read 2 more answers
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