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frutty [35]
3 years ago
8

Eliminate the parameter for the following set of parametric equations: x= t + 6 y= 3t – 1

Mathematics
1 answer:
erik [133]3 years ago
6 0

Answer:

Solution : Option A

Step-by-step explanation:

What we want to do here is eliminate the parameter t. In order to do that, we can isolate t in our first equation x = t + 6 ----- ( 1 ) and then plug that value for t in the second equation y = 3t - 1. Our solution will be an equation that is not present with t.

( 1 ) x = t + 6, t = x - 6

( 2 ) y = 3( x - 6 ) - 1 ( Distribute the " 3 " in 3( x - 6 ) )

y = 3x - 18 - 1 ( Combine like terms )

y = 3x - 19

As you can see our result will be option a, y = 3x - 19.

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Lynn can type 60 words per minute. If she types for 30 minutes, how many words does she type in all?
Crazy boy [7]

Answer:1800 words

Step-by-step explanation:

Multiply how many words per minute she types by how many minutes she types. In this case 60x30=?. The easy way to do this is drop the 2 zeros and do  6x3=18. In the original equation we dropped the 2 zeros. Now we add them back on the back of the 18 and get 1800.

7 0
3 years ago
PLS HELP ME THIS IS Probability (Single event) PLS HELP ME
KatRina [158]

Answer:

2/6  or 33.3%

1/6 or 16.65%

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Step-by-step explanation:

4 0
3 years ago
Which is equivalent to square root 8 to the third power
xz_007 [3.2K]

Answer:

Step-by-step explanation:

IMPORTANT: ∛8ˣ is not the square root of 8³.  ∛ means cube root.

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8 0
3 years ago
City records showed that 0.8% of new homes had no
storchak [24]

Answer:

The decimal would be 0.008.

If you wanted a fraction in simplest form, it would be 1/125.

Step-by-step explanation:

0.8% divided by 100 (move the decimal in the percent two places to the left) = 0.008

0.008 as a fraction is 8/1000, and then you divide both numbers by their GCF of 8, which will give you a fraction in simplest form of 1/125.

I hope this helps!

3 0
3 years ago
A single gram of a certain metallic substance has 0.52 grams of copper and 0.26 grams of zinc. The remaining portion of the subs
Vitek1552 [10]
First of all, if we have 1 gram of a substance that has 0.52 gram of copper and 0.26 gram of zinc, the remainder will be: 

Since we know that the remaining portion of the material is nickel, we have 0.22 gram of metal.

Now, Ben estimates that 1 gram of the substance has 0.2 gram of nickel. To find how many grams of metal are in 35 grams of the material, we are going to multiply the grams of the substance by the gram of nickel:

We can conclude that according to Ben, 35 grams of the content has 7 grams of metal.

But we know that in 1 gram of the substance are not 0.2 gram of nickel but 0.22. So let's multiply the grams of the material by 0.22 to find the actual grams of nickel in it:

We can conclude that 35 grams of the substance have 7.7 grams of metal. 
8 0
4 years ago
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