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3 years ago

Write an equation for the line that passes through (2,7) and (-1,-8)

Mathematics

1 answer:

andre [41]3 years ago

6 0

Answer:

slope = 5

y intercept = -3

Equation = y=5x-3

Step-by-step explanation:

-8-7/(-1-2)=5

plug in a point to find y intercept

7=5(2)+b

solve for b

b=-3

write final equation:

y=5x-3

(can I get brainliest please)

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A taxi charges a $2 fee<br> Multiple choice please help

Ipatiy [6.2K]

Answer:

Step-by-step explanation:

Let m = number of miles.

Each mile costs $2.35, so m miles cost 2.35m.

The flat fee is $2.

The total cost is

2.35m + 2

He can spend no more than $47, so he can spend $47 or less,

2.35m + 2 <= 47

Answer: d

5 0

4 years ago

Task 2 a. Do some research and find a city that has experienced population growth. Determine its population on January 1st of a

Galina-37 [17]

Exponential functions are functions defined by y = ab^x, where a represents the initial value, and b represents the rate

<h3>The equation of a city that has experienced a population growth</h3>

The initial population of the city is 10000, and the growth rate of the population is 4%.

So, the exponential equation is:

$y = 10000 * 1.04^x$

<h3>The equation of a city that has experienced a population decline</h3>

The initial population of the city is 12000, and the decay rate of the population is 3%.

So, the exponential equation is:

$y = 12000* 0.97^x$

<h3>The similarities in the equations</h3>

The similarity in both equations is that, they both represent exponential function.

<h3>The year the population of city A exceeds B</h3>

In (a) and (b), we have:

$y = 10000 * 1.04^x$ ---- city A

$y = 12000* 0.97^x$ --- city B

When city A exceeds city B, we have the following inequality

$10000 * 1.04^x > 12000 * 0.97^x$

Divide both sides by 10000

$1.04^x > 1.2 * 0.97^x$

Divide both sides by 0.97^x

$(\frac{1.04}{0.97})^x > 1.2$

$1.07^x > 1.2$

Take the natural logarithm of both sides

$\ln(1.07)^x > \ln(1.2)$

This gives

$x\ln(1.07) > \ln(1.2)$

Solve for x

$x > \frac{\ln(1.2)}{\ln(1.07)}$

$x > 2.69$

This means that, the population of city A will exceed city B after 3 years

<h3>The year the population of city A will be at least twice of city B</h3>

In (a) and (b), we have:

$y = 10000 * 1.04^x$ ---- city A

$y = 12000* 0.97^x$ --- city B

When city A is at least twice city B, we have the following inequality

$10000 * 1.04^x \ge 2 * 12000 * 0.97^x$

$10000 * 1.04^x \ge 24000 * 0.97^x$

Divide both sides by 10000

$1.04^x \ge 2.4 * 0.97^x$

Divide both sides by 0.97^x

$(\frac{1.04}{ 0.97})^x \ge 2.4$

$1.07^x \ge 2.4$

Take the natural logarithm of both sides

$\ln(1.07)^x \ge \ln(2.4)$

This gives

$x\ln(1.07) \ge \ln(2.4)$

Solve for x

$x\ge \frac{\ln(2.4)}{\ln(1.07) }$

$x\ge 12.9$

This means that, the population of city A will be at least twice city B after 13 years

Read more about exponential functions at:

brainly.com/question/11464095

3 0

3 years ago

A triangle has angles measuring 15° and 45°. What is the measurement of the triangle’s third angle?

nexus9112 [7]

First you need to know that the internal angles of a triangle always equals 180°. Therefore:

15+45= 90°

Then since the angles should equal 180, you do:

180-90=90

So the missing angle equals 90°

6 0

4 years ago

Read 2 more answers

In which quadrant does the terminal side of a 135° angle in standard position lie?

dolphi86 [110]

Solutions

The terminal side of an angle in standard position is a ray that has been rotated from the positive (x) <span>axis.

</span>If the angle measure is positive <span>the rotation is counterclockwise

</span>If the angle measure is negative the <span>rotation is counterclockwise.
</span>

The angle measure is positive, so the rotation is 135° is <span>counterclockwise.
</span>
Rotate the ray 135° counterclockwise. This rotation puts the terminal side in Quadrant <span>II.</span>

6 0

3 years ago

Read 2 more answers

the odds in favor of frank mckinnis winning a hot dog eating contest are 2:9the odds in favor of frank mckinnis winning a hot do

Ivahew [28]

Answer:

Consider the complete question is,

'The odds in favor of frank McKinney winning a hot dog eating contest are 2:9,