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evablogger [386]
3 years ago
9

What linear function can be represented by the set of ordered pairs? {(−1, −10), (3, 2), (5, 8), (7, 14)} enter your answer in t

he box.
Mathematics
2 answers:
Lunna [17]3 years ago
7 0
(-1,-10)(3,2)
slope = (2 - (-10) / (3 - (-1) = (2 + 10) / (3 + 1) = 12/4 = 3

y = mx + b
slope(m) = 3
(3,2)...x = 3 and y = 2
now we sub and find b, the y int
2 = 3(3) + b
2 = 9 + b
2 - 9 = b
-7 = b

so ur equation is : y = 3x - 7 or f(x) = 3x - 7
loris [4]3 years ago
4 0

Answer:

f(x) = 3x - 7

Step-by-step explanation:


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Answer:

MNP is congruent to QST.

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2 years ago
Nick bought a new car.
ira [324]

Using an exponential function, it is found that it takes 5.42 years for the car to halve in value.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

A(t) = A(0)(1 - r)^t

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

In this problem, the car depreciates 12% a year in value, hence r = 0.12 and the equation is given by:

A(t) = A(0)(0.88)^t.

It halves in value at t years, for which A(t) = 0.5A(0), hence:

A(t) = A(0)(0.88)^t

0.5A(0) = A(0)(0.88)^t

(0.88)^t = 0.5

\log{(0.88)^t} = \log{0.5}

t\log{0.88} = \log{0.5}

t = \frac{\log{0.5}}{\log{0.88}}

t = 5.42.

It takes 5.42 years for the car to halve in value.

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

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1 year ago
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Step-by-step explanation:

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6 0
3 years ago
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A 3mL unit dose of levalbuterol HCl contains 0.63mg of active ingredient. If 2 unit doses are used, how many mg of active ingred
Sergio039 [100]

Answer:  0.42 mg

Step-by-step explanation:

Given : A 3mL unit dose of levalbuterol HCl contains 0.63mg of active ingredient.

Then , the amount of active ingredient in 1 ml dose of levalbuterol HCl = \dfrac{0.63}{3}

=\dfrac{63}{300}=\dfrac{21}{100}=0.21\ mg

Hence, the amount of active ingredient in 2 ml dose of levalbuterol HCl will be :-

2\times0.21=0.42\ mg

Hence, the amount of active ingredient in 2 ml dose of levalbuterol HCl =0.42 mg

6 0
3 years ago
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