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3 years ago

8

Find the domain of the function

2 answers:

krok68 [10]3 years ago

4 0

Answer:

Domain should be Df = {x>-1}

Step-by-step explanation:

Insert the g(x) into the x of f(x) function. Then let the denominator of the fg(x) = 0 <em>(</em><em>u</em><em>n</em><em>d</em><em>e</em><em>f</em><em>i</em><em>n</em><em>e</em><em>d</em><em>)</em>. Find x.

QveST [7]3 years ago

3 0

Answer:

Step-by-step explanation:

here is a solution

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The balance of a loan is $2,570 in January, and the monthly payment is $125.50. The relationship between the loan balance, y, an

Hoochie [10]

1600<2570-125.5x<2000 subtract 2570 from all terms...

-970<-125.5x<-570 divide all terms by -125.5 (and reverse signs because of division by a negative!)

7.73>x>4.54 and x is months since January, and since months can only be integers...

x=[5,7]

So January + 5, 6, and 7 respectively are the three months that satisfy the equation...

June, July, and August.

4 0

3 years ago

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A rectangle has an area of 24 sq. inches and a perimeter of 50 in. what are the dimensions of the rectangle

gulaghasi [49]

Answer:

Length of rectangle = 24 inches

Width of rectangle = 1 inches

Step-by-step explanation:

Area of rectangle = 24 square inches

Perimeter of rectangle = 50 inches

Formulas:

Area of rectangle = $l\times w$

Perimeter of rectangle = $2(l+w)$

where $l$ represents length of rectangle and $w$ represents width of rectangle.

So, we can get two equations for $l$ and $w$

A) $l\times w=24$ [Area]

B) $2(l+w)=50$ [ Perimeter ]

Simplifying equation B.

Dividing both sides by 2.

$\frac{2(l+w)}{2}=\frac{50}{2}$

$l+w=25$

Solving for $l$ in terms of width.

Subtracting $w$ both sides.

$l+w-w=25-w$

∴ $l=25-w$

Substituting value of $l$ in terms of $w$ in equation A.

$(25-w)w=24$

Using distribution.

$25w-w^2=24$

Adding $w^2$ both sides.

$25w-w^2+w^2=24+w^2$

$25w=24+w^2$

subtracting $25 w$ both sides

$25w-25w=24+w^2-25w$

$0=w^2-25w+24$

We have a quadratic equation. $w^2-25w+24=0$

We solve for $w$ by factor method.

Splitting middle term into two terms such that the sum of the two = $-25w$ and product of two = $24w^2$

$w^2-24w-w+24=0$

Factoring in pairs.

$w(w-24)-1(w-24)=0$

Factoring as a whole

$(w-24)(w-1)=0$

So, we have

$w-24=0$ and $w-1=0$

By adding 24 to one equation and adding 1 to other we get

$w-24+24=0+24$ and $w-1+1=0+1$

$w=24$ and $w=1$

So length can be found out by plugging value of $w$ in the length equation.

$l=25-24=1$ and $l=25-1=24$

Since length is always the longer side of rectangle so, the dimensions of rectangle can be given by.

length = 24 inches (answer)

width = 1 inches (answer)

6 0

3 years ago

May anyone please help me?

jolli1 [7]

Answer:

1

Step-by-step explanation:

0^2 + 1

1

6 0

4 years ago

Please help me answer this!

STatiana [176]

Sorry I don’t know ): hopefully someone answeres

5 0

3 years ago

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Kate is painting a ceramic paperweight shaped like a rectangular prism, as shown here. She wants to find the surface area of the

GenaCL600 [577]

Answer:

area of one of the basses is 1.44 square feet

area of each lateral rectangular face is 0.96 square feet

SURFACE AREA OF THE PAPERWEIGHT IS 6.72 square feet.

Step-by-step explanation:

3 0

3 years ago

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