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kumpel [21]
2 years ago
14

The equation of a line is given below: -3x-6y=-6 Find the slope and the y-intercept.

Mathematics
1 answer:
ss7ja [257]2 years ago
5 0
We will start by adding 3x to both sides. This changes the equation to 6y=3x-6.
We then divide the entire equation by 6 to get y by itself. That leaves us with y=3/6x-1 which simplifies down to y=1/2x-1
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To convert 8 kiloliters to liters, the first ratio is 1 kL/1,000 L. To set up the proportion, the second ratio must be _____.
My name is Ann [436]
It would be b. the first ratio is
1kL
----
1000

so you would match up the kL and not know how many regular liters there are.

8kL
-----
x
6 0
2 years ago
Read 2 more answers
Write an<br> explicit formula for An, the nth term of the sequence 7, -42, 252, ....
erik [133]

Answer:

A_n = 7(-6)^{n-1}

Step-by-step explanation:

<u>Key skills needed: Explicit formula, Geometric sequence</u>

1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.

This can be done by doing -42 ÷ 7   or   252 ÷ -42

-42 ÷ 7 equals -6.

252 ÷ -42 also equals -6.

2) This means that constant is -6.

3) The general form for an explicit formula of a geometric sequence is:

a_n = a_1(r)^{n-1}

--> r means the constant (or common ratio) that is being multiplied.

--> a_1 means the first term

--> a_n means the "nth" numbered term (so a_3 is the 3rd term, a_{10} is the 10th term and so on).

--> n-1 is just the "n" in a_n minus 1.

4) We can use this formula to create an explicit formula for the geometric sequence in the problem.

--> r = -6 (Since we got -6 as the constant/common ratio).

--> a_1  = 7 (Since 7 is the 1st term)

This means that our formula would be --> A_n = 7(-6)^{n-1}

<em>Hope you understood and have a nice day!! :D</em>

8 0
3 years ago
Help me will give brain
Aleonysh [2.5K]

Answer:

The answer is C

Step-by-step explanation:

Let's solve your equation step-by-step.

4(x−2)=6x+18

Step 1: Simplify both sides of the equation.

4(x−2)=6x+18

(4)(x)+(4)(−2)=6x+18(Distribute)

4x+−8=6x+18

4x−8=6x+18

Step 2: Subtract 6x from both sides.

4x−8−6x=6x+18−6x

−2x−8=18

Step 3: Add 8 to both sides.

−2x−8+8=18+8

−2x=26

Step 4: Divide both sides by -2.

−2x/−2=26/−2

x=−13

Answer:

x=−13

3 0
2 years ago
Translate the phrase into an algebraic expression.
Anarel [89]

The given phrase is

6 more than y .

And we have to put this in algebraic form .

For the phrase "more than", we use addition sign and for the phrase "less than", we use subtraction sign .

So for the given phrase " 6 more than y " , the required algebraic expression is

y+6

And that's the answer.

8 0
3 years ago
Find the volume of each prism
o-na [289]
Volume of a prism=LWH
V=12 3/8 * 10*5
V=12.375 * 50
V=618.75
The volume of the prism is 618.75yd³
4 0
3 years ago
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