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mestny [16]
3 years ago
15

according to a recent survey, in 2000, 64% of households had one or more pets.Throughout the next decade, this decreased by appr

oximately 1% per year. if this trend continues, in which year will 30% of households have pets?​
Mathematics
1 answer:
ehidna [41]3 years ago
3 0

Answer:

Year 2034

Step-by-step explanation:

In 2000, 64% had one or more pets

<em>Since decreasing at 1% per year, we can say:</em>

<em>In 2001, 63%</em>

<em>In 2002, 62%</em>

<em>In 2003, 61%</em>

<em>In 2004, 60%</em>

<em>And so on</em>

<em />

To go to 30% from 60% in 2004, we would need to decrease 60 - 30 = 30%, and that will occur after 30 more years. So that would be the year

2004 + 30 = 2034

So, year 2034

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Correct answer gets 5 stars and brainliest
ozzi

Answer:

  • Option C

Step-by-step explanation:

Find the equation of the graphed line.

<u>Use 2 points, (0, -6) and (2, 4)</u>

  • m = (4 + 6)/2 = 5
  • b = -6

<u>The equation is:</u>

  • y = 5x - 6

<u>Compare with the given line y = 4x + 2</u>

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3 years ago
The one-to-one functions g and h are defined as follows
Debora [2.8K]

Answer:

g^-^1(x)=-8

h^-^1(x)=\frac{x-4}{3}

(h^-^1 \ o\ h)(-3)=-3

Step-by-step explanation:

When given the following functions,

g=[(-2,-7),(4,6),(6,-8),(7,4)]

h(x)=3x+4

One is asked to find the following,

1. Question 1

g^-^1(4)

When finding the inverse of a function that is composed of defined points, one substitutes the input given into the function, then finds the output. After doing so, one must substitute the output into the function, and find its output. Thus, finding the inverse of the given input;

g^-^1(4)

g(4)=6\\g(6)=-8\\g^-^1(4)=-8

2. Question 2

h^-^1(x)

Finding the inverse of a continuous function is essentially finding the opposite of the function. An easy trick to do so is to treat the evaluator (h(x)) like another variable. Solve the equation for (x) in terms of (h(x)). Then rewrite the equation in inverse function notation,

h(x)=3x+4\\\\h(x)-4=3x\\\\\frac{h(x)-4}{3}=x\\\\\frac{x-4}{3}=h^-^1(x)

h^-^1(x)=\frac{x-4}{3}

3. Question 3

(h^-^1 \ o\ h)(-3)

This question essentially asks one to find the composition of the function. In essence, substitute function (h) into function (h^-^1) and simplify. Then substitute (-3) into the result.

h^-^1\ o\ h

\frac{(3x+4)-4}{3}\\\\=\frac{3x+4-4}{3}\\\\=\frac{3x}{3}\\\\=x

Now substitute (-3) in place of (x),

=-3

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Step-by-step explanation:

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