All categories

3 years ago

What is the y-intercept of the function,represented by the table of values below?

Mathematics

1 answer:

Sliva [168]3 years ago

3 0

Answer: Choice A) 8

------------------------------------------------------------------

If you plot all of the points, you'll see they all fall on the same straight line. The slope of this line is m = -4
Each time x increases by 1, y decreases by 4

Going in reverse, if we decrease x by 1, then we increase y by 4
So the pair (x,y) = (1,4) shown in row 2 will lead to (0,8) if we use the trick of increasing y by 4 when decreasing x by 1.

Another way to see this is to use m = -4 with (x,y) = (1,4) and you'll find that b = 8. So the equation of this line is y = -4x+8

Or you can use a graphical method to find the y intercept

Either way, the answer is 8. This is where the graph crosses the y axis.

You might be interested in

What is the distance between the points (4, 9) and (4, 2)? A) 2 B) 5 C) 7 D) 8

Aneli [31]

The distance between the points are B)5

8 0

3 years ago

The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The d

jek_recluse [69]

Answer:

50%

Step-by-step explanation:

68-95-99.7 rule

68% of all values lie within the 1 standard deviation from mean $(\mu-\sigma,\mu+\sigma)$

95% of all values lie within the 1 standard deviation from mean $(\mu-1\sigma,\mu+1\sigma)$

99.7% of all values lie within the 1 standard deviation from mean $(\mu-3\sigma,\mu+3\sigma)$

The distribution of the number of daily requests is bell-shaped and has a mean of 55 and a standard deviation of 4.

$\mu = 55\\\sigma = 4$

68% of all values lie within the 1 standard deviation from mean $(\mu-\sigma,\mu+\sigma)$ = $(55-4,55+4)$ = $(51,59)$

95% of all values lie within the 2 standard deviation from mean $(\mu-1\sigma,\mu+1\sigma)$ = $(55-2(4),55+2(4))$ = $(47,63)$

99.7% of all values lie within the 3 standard deviation from mean $(\mu-3\sigma,\mu+3\sigma)$ = $(55-3(4),55+3(4))$ = $(43,67)$

Refer the attached figure

P(43<x<55)=2.5%+13.5%+34%=50%

Hence The approximate percentage of light bulb replacement requests numbering between 43 and 55 is 50%

4 0

3 years ago

How to find algebraic expressions using a table of values

Makovka662 [10]

I think that the answers is b

6 0

3 years ago

200 divided by 54 times 15 times 6 equals?

svetoff [14.1K]

200 divided by 54 times 15 times 6 equals 333.3333

3 0

3 years ago

You worked as a lifeguard this summer and earned an extra $3,000. You decided to deposit that amount into your savings account.

Nataly [62]

Answer:

The correct answer is $3300 for simple interest and $3312.24 for compound interest.

Step-by-step explanation:

Income as working as a lifeguard = $3000

We deposit the money in a bank which offers 2% interest annually for a period of 5 years.

Case 1 : Calculating simple interest for the given situation.

Amount after 5 years = 3000 + 3000 × 2 × 5 × $\frac{1}{100}$ = $ ( 3000 + 300) = $3300.

Case 2 : Calculating compound interest for the given situation.

Amount after 5 years = 3000 × $(1 + \frac{2}{100} ) ^{5}$ = $ 3312.24.

Thus the amount after 5 years amount simply is $3000 and compoundly is $3312.24

5 0

3 years ago