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3 years ago

What is the slope and y-intercept of 6x-5y=13

Mathematics

1 answer:

DaniilM [7]3 years ago

5 0

Answer:

The slope is 6/5 and the y intercept is -13/5

Step-by-step explanation:

6x-5y=13

Solve for y

Subtract 6x from each side

6x-6x-5y=-6x+13

-5y = -6x+13

Divide by -5

-5y/-5 = -6x/-5 +13/-5

y = +6/5x -13/5

This is in slope intercept form y = mx+b where m is the slope and b is the y intercept

The slope is 6/5 and the y intercept is -13/5

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Nana76 [90]

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3 years ago

A population of bacteria is 8500 on Day 1, 9350 on Day 2, and 10285 on Day 3.

11111nata11111 [884]

Answer:

The population on 30th day will be 134836.

Step-by-step explanation:

This is a case of exponential growth. The general form of exponential function is,

$y=ab^x$

where, a and b are constants.

The data points from the question are $(1,8500),(2,9350),(3,10285)$

Putting the values in the function,

for $x=1, y=8500$

$8500=ab$ ----------1

for $x=2, y=9350$

$9350=ab^2$ ------2

Dividing equation 2 by 1,

$\Rightarrow \dfrac{ab^2}{ab}=\dfrac{9350}{8500}=1.1$

$\Rightarrow b=1.1$

Putting the value of b in equation 1,

$\Rightarrow a=\dfrac{8500}{1.1}=7727.27$

Now the function becomes,

$y=7727.27(1.1)^x$

Putting x=30, we get

$y=7727.27(1.1)^{30}=134836.2\approx 134836$

4 0

3 years ago

Read 2 more answers

I’m confused on this one

Luda [366]

LO = MN because LMNO is the isosceles trapezod

so <LON = <ONM = 100

Answer

<LON = 100 degrees

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3 years ago

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. The expression (x22)( x 7)3 is equivalent to xD. What is the value of p?

posledela

The value of p is (x22)(3x•21)

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3 years ago

about 60 percent of the human body is composed of water. Write this percent as a fraction in simplest form

gayaneshka [121]

3/5 is it in simplest form.

Put 60 over 100 and then keep reducing until it can go any further.

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3 years ago