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RideAnS [48]
3 years ago
10

What is an equation of the line that passes through the points (-2,8) and (1, -1)? ​

Mathematics
1 answer:
svetoff [14.1K]3 years ago
8 0

Answer:

y = -3x + 2

Step-by-step explanation:

y2 - y1 / x2 - x1

-1 - 8 / 1 - (-2)

-9/3

= -3

y = -3x + b

-1 = -3(1) + b

-1 = -3 + b

2 = b

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The amount c in grams of a 100 gram sample of carbon-14 remaining after t years is represented by the equation c= 100 (0.99988)t
tigry1 [53]

Answer: The amount of carbon-14 remaining after 4 years is 99.95 grams.

Step-by-step explanation:

Hi, to answer this question we simply have to substitute t=4 in the equation given and solve for c.

c= 100 (0.99988)^t

c =100 (0.99988)^4

c = 100 x 0.999520086

c= 99.95200864 ≅99.95 grams (rounded)

The amount of carbon-14 remaining after 4 years is 99.95 grams.

Feel free to ask for more if needed or if you did not understand something.

8 0
3 years ago
A leading bank is coming up with an investment that pays 8 percent interest compounded semiannually. What is the investment's ef
uranmaximum [27]
The effective rate is calculated in the following way:
r =  {(1 +  \frac{i}{n} )}^{n} - 1
where r is the effective annual rate, i the interest rate, and n the number of compounding periods per year (for example, 12 for monthly compounding).
our compounding period is 2 since the bank pays us semiannually(two times per year) and our interest rate is 8%
so lets plug in numbers:
r = {(1 +  \frac{8\%}{2}) }^{2}  - 1 \\ r =  {(1 +  \frac{1}{25}) }^{2}  - 1 \\ r =  \frac{676}{625}  - 1 \\ r = 0.0816 \: or \: 8.16\%
5 0
3 years ago
The product of two consecutive even integers is 360360. find the integers.
professor190 [17]
There are no 2 consecutive integers which give a product 360360
5 0
3 years ago
Three of the following steps are used in writing a mixed number as an improper fraction. Which step does NOT belong?
QveST [7]
I don't see the steps, but the steps that I use are:
1. Multiply the denominator by the whole number 
2. Then you add the numerator to your sum.
3. The number that you just got by doing those steps is now going to be your numerator and your old denominator is going to stay your denominator.

Example:

2 2/3 
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6+2=8
8/3 is your new answer.
 
3 0
3 years ago
Please helppp!! Find the missing side . Round to the nearest tenth
olga nikolaevna [1]

Answer:

7.  7.8

Step-by-step explanation:

We can use Tan of this angle to find the missing side (in this case, the side adjacent to the angle measuring 57°)

 Tan A = (opposite side)/(adjacent side)

    Tan 57° = 12/x

solve for x

           x(Tan 57°) = 12

               x = 12/(Tan 57°)

                 x = 7.8   (rounded to the nearest tenth)

6 0
2 years ago
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