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2 years ago

Write a rule for the function:

Mathematics

1 answer:

Pepsi [2]2 years ago

8 0

Answer:

y = 3^(x + 1).

Step-by-step explanation:

Here the y values are increasing by a factor 3 and when x = 0 y = 3,

so y = (3)^1 when x = 0 - that is y = (3)^(0 + 1) = 3.

So y = 3^(x + 1) is the rule.

Check: when x = -2, y = 3^(-2+1) = 3 ^-1 = 1/3.

When x = 1, y = 3(1+1) = 3^2 = 9.

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Geometry math question

kobusy [5.1K]

the answer that you are looking for is d

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3 years ago

A contractor is in charge of hiring people for a construction project. The number of days it would take to complete the project

sweet-ann [11.9K]

Answer:

$\text{Domain of x}=[1,\infty), x \in Z^+$

Step-by-step explanation:

Given the function: $f(x)=\dfrac{280}{x},$ where:$

f(x) =number of days it would take to complete the project

x =number of full-time workers.

$\text{When x=0, }f(x)=\dfrac{280}{0}=$Undetermined\\\text{When x=1, }f(x)=\dfrac{280}{1}=$280 days\\\text{When x=280, }f(x)=\dfrac{280}{280}=$1 day\\\text{When x=560, }f(x)=\dfrac{280}{560}=$0.5 days$

The domain of a function is the complete set of possible values of the independent variable.

In this case, the independent variable is x, the number of full-time workers. We have shown that x cannot be zero as there must be at least a worker on ground.

Therefore, an appropriate domain of the function f(x) is the set of positive integers (from 1 to infinity).

$\text{Domain of x}=[1,\infty), x \in Z^+$

7 0

3 years ago

Which two lines are parallel? Which two lines are perpendicular?

lana66690 [7]

Answer:

see explanation

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

All the equations given are in slope- intercept form

y = 2x + 1 → with m = 2

y = $\frac{1}{2}$ x - 4 → with m = $\frac{1}{2}$

y = x + 1 → with m = 1

y = - $\frac{1}{x}$ x - 3 → with m = - $\frac{1}{2}$

y = 10 + x → y = x + 10 → with m = 1

Thus

y = x + 1 and y = 10 + x are Parallel since both have m = 1

y = 2x + 1 and y = - $\frac{1}{2}$ x - 3 are Perpendicular since 2 × - $\frac{1}{2}$ = - 1

7 0

3 years ago

The school football team needs to raise at least $850 to buy new practice equipment. The team received a donation of $125 and al

navik [9.2K]

Answer:

182

Step-by-step explanation:

850-125=725

725/4=181.25

So you need at least 182 tickets sold.

4 0

2 years ago

A gardener can care for the Green's property in 5 hours. If his helper assists him, they can complete the job in 4 hours. How lo

PilotLPTM [1.2K]

Step-by-step explanation:

Fraction of work done by Gardner in 1 hr = 1 / 5

Fraction of work done by Gardner and helper in 1 hr = 1 / 4

Fraction of work done by helper in 1 hr

= 1 / 4 - 1 / 5

= 1 / 20

Time required by helper to complete work :

= 20 hours

6 0

3 years ago