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3 years ago

Find the equation (in terms of x ) of the line through the points (-5,-1) and (3,-4)

Mathematics

1 answer:

Nataly [62]3 years ago

4 0

9514 1404 393

Answer:

y = -3/8x -23/8

Step-by-step explanation:

The slope is found using the slope formula:

m = (y2 -y1)/(x2 -x1)

m = (-4 -(-1))/(3 -(-5)) = -3/8

Then the point-slope equation of the line is ...

y -k = m(x -h) . . . . line with slope m through point (h, k)

For m = -3/8 and (h, k) = (-5, -1), the line is ...

y +1 = -3/8(x +5)

In slope-intercept form, this is ...

y = -3/8x -23/8

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A country has 155 years of oil reserves at the current rate of consumption. Suppose that the demand for oil in the country is 2,

Alex17521 [72]

Answer:

a) 125,220,046 barrels
b) 71.25 years

Step-by-step explanation:

Oil consumption:

2000000 barrels/year

Rate of increase of consumption:

2% = 0.02 per year

Total reserves

155*2000000 = 310000000 barrels

a) ....................................................................................

Total oil consumption at the end of 42 years:

2,000,000
2,000,000*1.02 =
2.000,000*1.02^2
...
2,000,000*1.02^41

Sum:

2000000*(1 + 1.02+ 1.02^2+ ...+ 1.02^41) =
2000000*(1.02^41 - 1)/(1.02 - 1) = 125,220,046 barrels

b) ....................................................................................

Oil reserves will last:

2000000*(1.02^x - 1)/(1.02 - 1) = 310000000
(1.02^x - 1)/0.02 = 155
1.02^x - 1 = 155*0.02
1.02^x =1 +3.1
1.02^x = 4.1
x log 1.02 = log 4.1
x = log 4.1 /log 1.02
x = 71.25 years

8 0

4 years ago

Please help I think I picked the wrong answer !!

insens350 [35]

Answer:

one solution

Step-by-step explanation:

it has one solution because the slopes of the two equations(1x & 2x) are different, which means the lines of the two equations are not parallel, they have an intersection point(also means one solution).

6 0

3 years ago

1 9. By what rational number must 26 be divided to get ? 39

Oksana_A [137]

Answer:

let the unknown rational number be X.

26/X=39

X=39/26

X=3/2

4 0

3 years ago

The daytime temperature in Apple Valley is falling by 2.5 degrees each day. What will the net change in the daily temperature be

nexus9112 [7]

Answer:

Option D -17.5 degrees is correct answer

Step-by-step explanation:

Since a calendar week has 7 days. and temperature is falling by -2.5 daily.

So, On Day 1 Temperature is -2.5 degrees

On Day 2 Temperature is -2.5 + -2.5 = -5 degrees

On Day 3 Temperature is = -5 + -2.5 = -7.5 degrees

On Day 4 Temperature is = -7.5 + -2.5 = -10 degrees

On Day 5 Temperature is = -10 + -2.5 = -12.5 degrees

On Day 6 Temperature is = -12.5 + -2.5 = -15 degrees

On Day 7 Temperature is = -15 + -2.5 = -17.5 degrees

So, Option D -17.5 degrees is correct answer.

3 0

3 years ago

Read 2 more answers

Im stuck

kifflom [539]

$3x^2 + 2x + 2 =0\\\\\Delta=2^2-4\cdot3\cdot2=4-24=-20$

No solutions in real numbers. So D.

8 0

3 years ago