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Akimi4 [234]
3 years ago
8

I need help . Top left corner

Mathematics
1 answer:
WARRIOR [948]3 years ago
5 0
Substitute

x+12y=-15
-8x+6y=18

x=-15-12y
-8(-15-12y)+6y=18

120+96y+6y=18
102y=-102
y=-1

x+12(-1)=-15
x-12=-15
x=-3

(-3,-1)
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What is the 32nd term of 311, 305, 299
nata0808 [166]

Answer:

503

Step-by-step explanation:

For an arithmetic sequence, the n-th term is found by

a_n = a_1 + (n - 1)d

To find d (the common difference) we can simply subtract one of the terms by the last, for example:

d = 299 - 305 \\d = -6 \\

The common difference must be the same throughout the entire sequence, so we can do it once more just to be sure:

d = 305 - 311\\d = -6

We also have to know that a_1 stands for the first term of the sequence, which in this case is 311.

Now that we know this, let's find the 32nd term

a_{32} = 311 + (32 - 1)-6\\a_{32} = 311 + 192\\a_{32} = 503

Good luck!

4 0
3 years ago
Read 2 more answers
A shorter style of cup is stacked tall. The graph displays the height of the stack in centimeters for different numbers of cups.
Strike441 [17]

Answer:

0.5

Step-by-step explanation:

We are looking for how much height is gained per cup added.

Height per cup added can be calculated by finding the slope of the line that runs through the two given points on the graph, (3, 5.5) and (8, 8).

Formula for slope =

Let,

3 0
3 years ago
Read 2 more answers
Logan is going to use a computer at an internet cafe. The cafe charges an initial fee to use the computer and then an additional
aalyn [17]

Answer:

$6

Step-by-step explanation:

Hourly rate is $1.5

6 0
2 years ago
Write a Let" statement for the unknown, write an equation, and solve the equation. 11. Jane bought a number of records for $7 ea
Advocard [28]

Let n = number of records.

Each record costs $7, so n records cost 7n.

She then spent $3, so the total spent is 3n + 3.

She spent a total of $24, so 3n + 3 must equal 24. That gives us the following equation.

7n + 3 = 24

Subtract 3 from both sides.

7n = 21

Divide both sides by 7.

n = 3

Answer: She bought 3 records.

3 0
3 years ago
PRECALCULUS please help​
sergejj [24]

Answer:

<h2>( f - g)(x)  =  \frac{2x -  \sqrt{x} + 14 }{3x}</h2>

Step-by-step explanation:

f(x) =  \frac{2x + 6}{3x}  \\  \\ g(x) =  \frac{ \sqrt{x}  - 8}{3x}

To find ( f - g)(x) , subtract g(x) from f(x)

That's

( f - g)(x) =  \frac{2x + 6}{3x}  -  \frac{ \sqrt{x}  - 8}{3x}

Since they have a common denominator that's 3x we can subtract them directly

That's

\frac{2x  +  6}{3x}  -  \frac{ \sqrt{x}  - 8}{3x}    =  \frac{2x  + 6 - ( \sqrt{x} - 8) }{3x}  \\  =  \frac{2x + 6 -  \sqrt{x} + 8 }{3x}  \\  =  \frac{2x -  \sqrt{x} + 6 + 8 }{3x}

We have the final answer as

<h3>( f - g)(x)  =  \frac{2x -  \sqrt{x} + 14 }{3x}</h3>

Hope this helps you

6 0
3 years ago
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