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3 years ago

A rational function can have infinitely many x-values at which it is not continuous. True or False. If false, explain

1 answer:

3 0

It is false since the rational function is discontinuous when the denominator is zero. But the denominator is a polynomial and a polynomial has only finitely many zeros. So the discontinuity points of a rational function is finite.

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A rectangle has a height of t^2+7t+6t

jek_recluse [69]

Answer:

$2t^3+15t^2+19t+6$

Step-by-step explanation:

Height of the Rectangle $=t^2+7t+6$

Width of the Rectangle $=2t+1$

Area of the Rectangle = Height X Width

$=(2t+1)(t^2+7t+6)\\=2t(t^2+7t+6)+1(t^2+7t+6)\\=2t^3+14t^2+12t+t^2+7t+6\\$Collect like terms\\=2t^3+14t^2+t^2+12t+7t+6\\Area=2t^3+15t^2+19t+6\\$

The area of the rectangle is $2t^3+15t^2+19t+6$

4 0

3 years ago

Find the value of x. a.17 b.12 c.40 d.18 e.none are correct

Natali5045456 [20]

Answer:

b.12

Step-by-step explanation:

Key skills needed: Interior Angle Measure Theorem, Equation Creation

1) First, we need to classify this shape. It has 7 sides, which means that we can use the Interior angle Theorem to find out the sum of all the interior angle measures

The theorem is: $S = (n - 2)180$

S is the sum of all interior angle measures

n is the number of sides of the polygon

2) With this, we can plug in 7 for "n" (Since the figure has 7 sides) and get:

---> $S = (7-2)180$

---> (7-2) is 5 since 7 - 2 = 5 so --> $S = 5(180)$

---> 5(180) is the same as 5 x 180 which is 900 so --> $S = 900$

This means that the sum of all interior angles is 900 degrees.

3) Now, we have to find out the sum of all the angles that they gave us so:

---> $10x + 10x + 9 + 133 + 9x + 14 + 12x - 9 + 10x + 5 + 136 = 900$

The left side is the sum of all interior angles in the shape, and the right side is what the sum should be when expressed as a number.

4) We have to combine all like terms on the left side:

---> $10x + 10x + 9x + 12x + 10x = 51x$

---> $9 + 133 + 14 -9+5+136 = 288$

5) This means that ---> $51x + 288 = 900$

Subtract 288 from both sides and get:

---> $51x = 612$ (900-288 = 612)

Then divide by 51 from both sides and get:

---> $x = 12$ (612 ÷ 51 = 12)

Therefore b.12 is your answer.

Hope you understood and have a nice day!! :D

8 0

3 years ago

(w-x)^2 + 26x; if w = 6 and x = -1

kati45 [8]

Answer:

$\boxed{\boxed{\sf 23}}$

Step-by-step explanation:

$\boxed{\sf Hi\: there!}$

$\sf (w-x)^2 + 26x$

$\sf w=6$

$\sf x=-1$

_____________________

→ $\sf \left(6-\left(-1\right)\right)^2+26\left(-1\right)$

→ $\sf 23$

»»————-　➴　————-««

7 0

2 years ago

Read 2 more answers

What is the area of the composite figure? (use 3.14 for pi). Explain how you arrived at your answer. Please round to the nearest

maksim [4K]

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

Step-by-step explanation:

The given is,

Given diagram is combination of Rectangle and Semi circle.

Step:1

Res the attachment,

Area of given diagram = Area of A + Area of B..............(1)

Step:2

For A,

The A section in the given diagram is semi circle,

Diameter of semi circle = Total distance - ( 2+3)

( ∵ 2, 3 are top distance in the given diagram)

$= 10 - 5$

Diameter, d = 5 cm

Radius, $r = \frac{d}{2}$

$r = \frac{5}{2}$

r = 2.5 cm

Area, $A_{A} = \frac {\pi r^{2} }{2}$ ........................(2)

$A_{A} = \frac {\pi (2.5)^{2} }{2}$

$= \frac {\pi ( 6.25) }{2}$

$= \frac{19.63}{2}$

$A_{A} = 9.8174 cm^{2}$

Step:3

For B,

Area of rectangle is,

$A_{B} =lb$ .....................(3)

Where, l - Length = 10 cm

b - Width = 2 cm

Equation (3) become,

$= (10)(2)$

$= 20$

Area of B, $A_{B}$ = 20 $cm^{2}$

Step:4

From the equation (1),

Area of given diagram = 20+ 9.81747

Area = 29.817 square centimeters

Result:

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

5 0

3 years ago

If you use 104 kiloliters of water per year, approximately how many liters of water do you use in a day?

tatiyna

Answer:

0.28 liters

Step-by-step explanation:

104÷365=0.28

5 0

3 years ago

Read 2 more answers