Sketch a graph that has the following characteristics. (8 points: 2 points for each characteristic)
a. Crosses the y-axis at (0, 4)
b. Increases in the interval –12 ≤ x ≤ –2
c. Constant in the interval –2 ≤ x ≤ 2
d. Decreases in the interval 2 ≤ x ≤ 12

Answer:

Step-by-step explanation:

I'm assuming you meant to type in

[tex]f(x)=\frac{x^2+12x+27}{x^2+4x+3}[/tex] because you can only have removable discontinuities where there is a rational (fraction) function. Begin by factoring both the numerator and denominator to

[tex]f(x)=\frac{(x+3)(x+9)}{(x+1)(x+3)}[/tex] and cancelling out like terms would have us eliminating the (x + 3). That is where there is a removable discontinuity. It leaves a hole. The other discontinuity, (x + 1) doesn't cancel out so it is a non-removable discontuinity, which is a vertical asymptote.

The removable discontinuity is at -3. There is no y value at x = -3 (remember there's only a hole here), because -3 causes the denominator to go to 0 and we all know that having a 0 in the denominator of a fraction is a big no-no!!!

Answer:

(2,9)

Step-by-step explanation:

I am assuming that you mean: [tex]y= 3^x[/tex]

I have graphed the function given along the points given. When they are graphed, only the point (2,9) lie on the line.

This means that Option B is the correct answer.

See graph below.

Hope this helps.

Answer:

Option A; [tex](\frac{5}{8} , -\frac{1}{4} )[/tex]

Hope this helps!

Answer:

i wanna say A but im not for sure

Step-by-step explanation:

Answer:

7

Step by step explanation:

1. multiply both sides by 3

          3(x+5)/3 =4 x 3

2. Simplify

   x + 5=12

3. Subtract 5 from both sides

   x+5-5=12-5

4. Simplify

  7

Answer:

S(x)  =  x²  +  390224/x

Step-by-step explanation:

Volume of the open box  =   V  = 97556 cm³

Material needed:

Let´s call x the side of the square base then  the  area of the base is

A(b) = x²

For the sides of the box, we have 4 sides each one with area of x*h

where h is the height of the box

The volume of the box    V(b) = 97556 = x²*h   then    h  =  97556/x²

S(x,h) = x²  +  4*x*h*

The surface area of the box as function of x is:

S(x)  =  x²  + 4*x*97556/x²

S(x)  =  x²  +  390224/x

Answer:

ha ha ha... yesno

Step-by-step wrong explanation:

becoause it is the dilemma of the miniyamma

Answer:

-1 =s

Step-by-step explanation:

7 = -10s - 3

Add 3 to each side

7+3 = -10s - 3+3

10 = -10s

Divide by -10

10/-10 = -10s/-10

-1 =s

Answer:

Step-by-step explanation:

x−log(48)+3(log(2))=

1

3

(log(125))−log(3)

Simplifies to:

x−0.778151=0.221849

Let's solve your equation step-by-step.

x−0.778151=0.221849

Step 1: Add 0.778151 to both sides.

x−0.778151+0.778151=0.221849+0.778151

x=1

Answer:

x=1

Answer:

A = 60 cm²

Step-by-step explanation:

Given that,

The area of a circle, A = 20 cm²

It is enlarged 3 times.

We need to find the area of the enlarged circle.

Area of the enlarged circle,

A = 20×3

= 60 cm²

So, the area of the enlarged circle is equal to 60 cm².

Answer:

[tex]f^{-1}(x) = \frac{\sqrt{x}}{13}[/tex]

Step-by-step explanation:

Inverse function:

Suppose we have a function y = f(x). To find the inverse, we exchange the y and the x values, and then isolate y.

Function:

[tex]f(x) = 169x^2[/tex]

That is:

[tex]y = 169x^2[/tex]

Exchanging x and y:

[tex]x = 169y^2[/tex]

Isolating y:

[tex]y^2 = \frac{x}{169}[/tex]

[tex]y = \sqrt{\frac{x}{169}}[/tex]

[tex]y = \frac{\sqrt{x}}{13}[/tex]

[tex]f^{-1}(x) = \frac{\sqrt{x}}{13}[/tex]

Answer:

[tex]y =11(6)^x[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (0,11)[/tex]

[tex](x_2,y_2) = (2,396)[/tex]

Required

The exponential function

This is represented as:

[tex]y = ab^x[/tex]

In [tex](x_1,y_1) = (0,11)[/tex], we have:

[tex]11 = ab^0[/tex]

[tex]11 = a*1[/tex]

[tex]a = 11[/tex]

So, we have:

[tex]y = ab^x[/tex]

[tex]y = 11b^x[/tex]

In [tex](x_2,y_2) = (2,396)[/tex], we have:

[tex]396 = 11 * b^2[/tex]

Divide both sides by 11

[tex]36 = b^2[/tex]

Taks square roots

[tex]6 = b\\\\b=6[/tex]

So, we have:

[tex]y = 11b^x[/tex]

[tex]y =11(6)^x[/tex]

Answer:

Step-by-step explanation:

x+2

A factor of the polynomial function f(x) graphed on the coordinate plane below is,

⇒ x + 2

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The polynomial function f(x) graphed on the coordinate plane below.

Now, We have;

The vertex of the function is,

⇒ x = - 2

⇒ x + 2

Thus, A factor of the polynomial function f(x) graphed on the coordinate plane below is,

⇒ x + 2

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

Answer:

See Explanation

Step-by-step explanation:

Given

Edge Landscaping:

[tex]\begin{array}{cc}{Hours} & {Total} & {1.5} & {\$26} & {3} & {\$44} & {3.5} & {\$50} & {4.5} & {\$62} \ \end{array}[/tex]

The rates (m) of the above table is calculated using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

From the table, we have the following points

[tex](x_1,y_1) = (1.5,26)[/tex]

[tex](x_1,y_1) = (4.5,62)[/tex]

So, the rate is:

[tex]m = \frac{62 - 26}{4.5 - 1.5}[/tex]

[tex]m = \frac{36}{3.0}[/tex]

[tex]m = 12.0[/tex]

This means that the rate of edge landscaping is $12.0 per hour

The equation for Gatewood is not given. Hence, the rate cannot be calculated. However, the general procedure of calculating rates from a linear equation is as follows;

A linear equation is of the form:

[tex]y = mx + b[/tex]

Where:

[tex]m \to slope\ or\ rates[/tex]

In other words, if the equation is:

[tex]y = 20x + 5[/tex]

Then the rate is: 20 ($20/hour)

If the equation is: [tex]y = 10x + 5[/tex]

Then the rate is 10 ($10/hr)

Next, is to compare the rates;

For Edge landscaping, we have:

[tex]m = 12.0[/tex]

For Gatewood, we have:

[tex]m = 10[/tex] ------------ assume the equation is: [tex]y = 10x + 5[/tex]

Compare the rates:

[tex]12 > 10[/tex]

Hence, Edge landscaping has a greater hourly rate

Answer:

45 is 54.9 percent of 82.

26 is 520% of 5.

84 is 22% of 381.8.

Answer:

WHAT IT'S 19??? HELP HAHAHAHAHA

Step-by-step explanation:

deez  njuts

Answer:

19

Step-by-step explanation:

because its 19

Answer:

3/2

Step-by-step explanation:

Slope 1 = (-1+7)/(-5-4) = 6/(-9) = -2/3

Slope 2 perpendicular to Slope 1 :

-1 ÷ -⅔ = 3/2

Answer:

this is a DISTRIBUTIVE property

Answer:

800

Step-by-step explanation:

I think it is 1000/1.25 0r 800

Answer:

800

Step-by-step explanation:

Step-by-step explanation:

This is called a nested function. Remember, math is a language.

We define a function where x is whatever we want it to be, f(x) = g(x) +10

but we have yet another function inside and itvs defined as g(x) = 3x - 18

if we were to write it out, it woukd be

f(x) = (3x - 18) + 10

Answer:

c. x = ± 7

Step-by-step explanation:

2x^2 = 98

x^2 = 98 / 2

x^2 = 49

x^2 = ± 7

Answer:

c

Step-by-step explanation:

x2= 98/2

=49

x2=49

x= +_7

Answer:

Answer: a

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

First, find x

RT = 2x + 3x

10 = 2x+3x

10 = 5x

10/5 = 2

Now place 2 in place of x in the line ST

ST = 3x

ST = 3 * 2

ST = 6

Answer: 135 minutes or 2 hours and 15 minutes  

Step-by-step explanation:

4/18 = 30/ x

Solve for duh 'x'

Step 1: 360÷30(exterior angle)= 12 sides

Step 2: (12-2)×180= 1800 (sum of the interior angles of the polygon)

Test: 1800÷ 12 sides= 150 ( 1 interior angle)

9514 1404 393

Answer:

Step-by-step explanation:

The formula for simple interest is ...

  I = Prt

where P is the principal amount loaned, r is the annual rate, and t is the time in years. Solving for interest rate, we get ...

  r = I/(Pt)

We assume 12 months or 52 weeks in a year.

__

Car title loan

  r = 125/(500×1/12) = 3 × 100% = 300%

The APR is 300%.

__

Payday loan

  r = 125/(500×2/52) = 6.5 × 100% = 650%

The APR is 650%.

__

Check cashing

  r = 19.66/(478.41×1/52) ≈ 2.1369 × 100% ≈ 214%

The APR is about 214%.

Answer:

She missed her goal, because she made less than $75 on coffee today.

10

Step-by-step explanation:

Target profit = $75

Profit per cup = $0.80

Number of cups sold = 90

Profit made today = Profit per cup * Number of cups sold

= $0.80 * 90

= $72

She missed her goal, because she made less than $75 on coffee today.

2. (9.5 minus 3 times 1 and one-half) divided by 0.5

(9.5 - 3 * 1 1/2) ÷ 0.5

= 9.5 - 3 * 3/2 ÷ 0.5

= 9.5 - 9/2 ÷ 0.5

= (9.5 - 4.5) ÷ 0.5

= 5 ÷ 0.5

= 10

Answer:

x = 3 + 2y

Step-by-step explanation:

x - 2y = 3 ( Isolate x on the left side by adding 2y to both sides )

x = 3 + 2y

Step-by-step explanation:

Step 1: Add -y^3 to both sides.

y3+x2+−y3=1+−y3

x2=−y3+1

Step 2: Take square root.

x=√−y3+1 or x=−√−y3+1

Answer:

x=√−y3+1  or  x=−√−y3+1

(I think this is right) (tell me if im right plz and thx)

Going 315 km uses up 35 liters of gasoline

On average, 1 liter of gasoline can travel the number of kilometers:

315 : 35 = 9 liters of gasoline