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4 years ago

I need help with algebra

Mathematics

1 answer:

aalyn [17]4 years ago

7 0

To find the equation of a line using two coordinate points, use the slope intercept formula, (y2-y1)/(x2-x1). Using this formula, plug in your values from the two coordinates (-5, -5) and (1, -3). This would look like this:
(-3-(-5))/(1-(-5))
When simplified, you should get 2/6 or 1/3 as your slope or m value. Now that you have your slope, now use your slope intercept equation y=mx+b and plug in your known values. Since you know the m value is 1/3 and you can use one of your set of points to plug into the x and y values, you can plug in these values and solve for b (the coordinate you use doesn't matter but I'm just using the (1,-3)). This would look like this:
-3=1/3(1)+b

When you simplify, you should get -3=1/3+b and when you subtract both sides by 1/3, you should get b=-10/3.

Now that you have your m and b values, you can conclude that your equation for the line would be y=1/3x-10/3

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Fraction equivalent to 528\1000 simplified

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66/125

Step-by-step explanation:

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A dance academy charges $24 per class and a one time registration fee of $15. A student paid a total of $687 to the academy. Fin

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The student took 28 classes

Step-by-step explanation:

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3 years ago

Aria has a points card for a movie theater.

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Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

The population of a heard of cattle numbered was 5000 to begin with and was 10,000 after 10 years. If the population was growing

Lapatulllka [165]

Answer:

$r=0.0718$ . The closest value from your given choices is C)r=0.69

Step-by-step explanation:

To solve this we are using the standard exponential growth equation:

$f(t)=A(1+r)^t$

where

$f(t)$ is the final population after $t$ years

$A$ is the initial population

$r$ is the growth rate in decimal form

$t$ is the time in years

We know from our problem that the initial population is 5000, the final population is 10000, and the time is 10 years, so $A=5000$ , $f(t)=10000$ , and $t=10$ .

Let's replace the values and solve for $r$ :

$f(t)=A(1+r)^t$

$10000=5000(1+r)^{10}$

Divide both sides by 5000

$\frac{10000}{5000} =(1+r)^{10}$

$2=(1+r)^{10}$

Take root of 10 to both sides

$\sqrt[10]{2} =\sqrt[10]{(1+r)^{10}}$

$\sqrt[10]{2} =1+r$

Subtract 1 from both sides

$\sqrt[10]{2}-1=r$

$r=\sqrt[10]{2}-1$

$r=1.0718-1$

$r=0.0718$

We can conclude that the growth rate of our exponential equation is $r=0.0718$ . The closest value from your given choices is C)r=0.69

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4 years ago

Which values are solutions to the inequality below?check all that apply x^2 >49 A. 6 B.20 C.-7 D.-5 E.-16 F. 7

MrRissso [65]

Well the square root of 49 is 7 so anything with an absolute value over 7 would work and if it is greater than or equal to, than 7 and -7 also work :)

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4 years ago