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3 years ago

Find the domain and range of 1/t+2

Mathematics

1 answer:

kotegsom [21]3 years ago

8 0

Answer:

Domain = (-∞, -2) ∪ (-2, ∞).

Range = (-∞, 0) ∪ (0, ∞).

Step-by-step explanation:

t can't have the value -2 because that would make 1/(t + 2) = 1/0 which is undefined.

So the domain is All real values of t. except t = -2.

As t approaches infinity or negative infinity f(t) approaches zero, and as t approaches -2 from below or above f(t) approaches negative infinity or positive infinity.

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Find the least common denominator for these<br> two rational expressions.<br> 8/n<br> n/7n²

Serga [27]

Answer:

7n^2

Step-by-step explanation:

Multiply 8/n by 7n/7n to get 56n/7n^2

5 0

1 year ago

Helppppp pleasee....

irina1246 [14]

Independent variable: the variable that affects the dependent variable and creates a change
Dependent variable: depends on the independent variable

1. Independent variable: John’s age
Dependent variable: height

2. Independent: gallons of milk
Dependent: cups of milk

3. Independent: population
Dependent: number of representatives

4. Independent: Number of seats
Dependent: amount of tickets

5. Independent: time
Dependent: plane’s altitude

6. Independent: more music download
Dependent: more money spent

6 0

2 years ago

Jane has a pre-paid cell phone with Splint. She can't remember the exact costs, but her plan has a monthly fee and a charge for

yan [13]

Answer:

The costs of the plan are $0.15 per minute and a monthly fee of $39

Step-by-step explanation:

Let

x ----> the number of minutes used

y ----> is the total cost

step 1

Find the slope of the linear equation

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the ordered pairs

(100,54) and (660, 138)

substitute

$m=\frac{138-54}{660-100}$

$m=\frac{84}{560}=\$0.15\ per\ minute$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=0.15\\point\ (100,54)$

substitute

$y-54=0.15(x-100)$

step 3

Convert to slope intercept form

Isolate the variable y

$y-54=0.15x-15\\y=0.15x-15+54\\y=0.15x+39$

therefore

The costs of the plan are $0.15 per minute and a monthly fee of $39

6 0

3 years ago

A triangle has an area of 36 square feet. If the height of the triangle is 6 more feet than its base, what is its height and bas

andriy [413]

If b is the base then the height h=b+6. As we have S=bh/2 then
36=b(b+6)/2;
b²+6b-72=0;
D/4=3²+72=81
b₁=-3-9=-12
b₂=-3+9=6.
The base is always positive so b=6, h=6+6=12.
Answer: base=6 ft, height=12 ft.

7 0

3 years ago

Look at image. reflection across x=1

elena-14-01-66 [18.8K]

Answer:

A' would be at (0,-4)

B' would be at (-2,1)

C' would be at (-2,-3)

Step-by-step explanation:

A' would be at (0,-4)

B' would be at (-2,1)

C' would be at (-2,-3)

5 0

2 years ago

Read 2 more answers