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2 years ago

Find the equation of the line shown

Mathematics

1 answer:

geniusboy [140]2 years ago

6 0

Answer:

x + y = 9

Step-by-step explanation:

Line is passing through the points (9, 0) and (0, 9)

-> y - intercept (b) = 9

& slope (m) = (9 - 0)/(0 - 9) = 9/(-9) = -1

Equation of line in slope-intercept form is given as:

y = mx + b

Plugging in the values of m and b in the above equation, we find:

y = (-1)x + 9

-> y = -x + 9

-> x + y = 9

This is the required equation of the line

[Note: there are several other points through which line is passing and those points can also be selected for finding the required equation]

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What is equivalent to 921/2 pounds

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The answer is 7368 ounces is eqivalent to 921/2 pounds

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3 years ago

Use the equation to identify a and b * a = 1/5 and b = 3 a = 3 and b = 1/5 a= 1/5 and b =1 a = 1 and b = 3

Nadya [2.5K]

Answer:

$a = 3$

$b = \frac{1}{5}$

Step-by-step explanation:

Given

$f(x) = 3(\frac{1}{5})^x$ --- Missing from the question

Required

Identify a and b

The given equation is an exponential function and the general form is:

$f(x) = ab^x$

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3 years ago

Store A sells boxes of rice for $2.50 each

julia-pushkina [17]

Answer:

I need more information

Step-by-step explanation:

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3 years ago

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A 48 gram sample of a substance that’s used for drug research has a k value of 0.1325

Lyrx [107]

Using an exponential function, it is found that the half-life of the substance is of 5.23 units of time.

<h3>What is the exponential function for the amount of a substance?</h3>

The function is given by:

$A(t) = A(0)e^{-kt}$

In which:

A(0) is the initial value.

k is the exponential decay rate.

The parameters are given by:

A(0) = 48, k = 0.1325.

Hence the equation is:

$A(t) = 48e^{-0.1325t}$

The half-life is the amount of time for which A(t) = 0.5A(0) = 24, hence:

$A(t) = 48e^{-0.1325t}$

$24 = 48e^{-0.1325t}$

$e^{-0.1325t} = 0.5$

$\ln{e^{-0.1325t}} = \ln{0.5}$

$0.1325t = -\ln{0.5}$

$t = -\frac{\ln{0.5}}{0.1325}$

t = 5.23.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

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2 years ago

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natulia [17]

Answer:

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Step-by-step explanation:

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With that being said:

sin^2 30 - cos^2 30

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4 years ago

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