What is the surface area of this rectangular pyramid?
3 cm
D
4 cm
4 cm
square centimeters
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Answer:

(a) Domain: All real numbers except -2

(b) [tex]f(x) > -4[/tex]

Step-by-step explanation:

Given

See attachment for f(x)

Solving (a): The domain

From the attached image, we have:

[tex]f(x) = -x - 2, x <-2[/tex]

[tex]f(x) = -x^2, -2 < x < 0[/tex]

[tex]f(x) = x, x \ge 0[/tex]

To get the domain, we consider the inequalities attached to each of the piece-wise function

[tex]x < -2[/tex]

This implies that the values of x is less than -2 i.e.

[tex]x = \{.......,-4,-3\}[/tex]

[tex]-2< x<0[/tex]

This implies that x is greater than -2 and less than 0 i.e.

[tex]x = \{-1\}[/tex]

[tex]x \ge 0[/tex]

This implies that x is greater than or equal to 0 i.e.

[tex]x =\{0,1,2,3,....\}[/tex]

If these values of x are merged, we have:

[tex]x = \{.......,-4,-3,-1,0,1,2,3.....\}[/tex]

[tex]x = \{-\infty,..,-4,-3,-1,0,1,2,3,...,\infty\}[/tex]

-2 is not included in the above values of x.

Solving (b): The range

From the attached image, we have:

[tex]f(x) = -x - 2, x <-2[/tex]

[tex]f(x) = -x^2, -2 < x < 0[/tex]

[tex]f(x) = x, x \ge 0[/tex]

Substitute the greatest value of x in each piece-wise function.

[tex]f(x) = -x - 2, x <-2[/tex]

[tex]x=-2[/tex]

So;

[tex]f(-2) = -2-2 = -4[/tex]

[tex]f(x) = -x^2, -2 < x < 0[/tex]

[tex]x = -2[/tex]

So:

[tex]f(-2) = -2^2 = -4[/tex]

[tex]f(x) = x, x \ge 0[/tex]

[tex]x = \infty[/tex]

So;

[tex]f(\infty) = \infty[/tex]

We have:

[tex]f(-2) =-4[/tex]

[tex]f(-2) =-4[/tex]

[tex]f(\infty) = \infty[/tex]

The smallest value of f(x) is -4

Hence, the range is:

[tex]f(x) > -4[/tex]

Answer:

Domain is

B)

(-infinity, -2) U (-2, infinity)

Range is (-4, infinity)

Step-by-step explanation:

go it correct

edge2022

Answer:

No, it is not a solution

Step-by-step explanation:

Given the inequality y ≥ 7x − 2 and y < 4x + 7, they can be combined and written as;

7x-2≤y<4x+7

Equate both values of y, the point of intersection occurs when;

7x-2 = 4x+ 7

7x - 4x = 7 + 2

3x = 9

x = 9/3

x = 3

Substitute x = 3 into y = 7x - 2

y = 7(3) - 2

y = 21 - 2

y = 19

Hence the possible solution will be at (3, 19). Hence the solution (-3, -10) is incorrect

Answer:

C. {(0, 8), (0, -4), (7, 4), (12, 1)

Step-by-step explanation:

hope it help

good luck

Answer:

The correct answer is $515,840.00

Step-by-step explanation:

Answer:

The total rent for the entire 8-year lease to the nearest hundredth is $84,851.28.

Step-by-step explanation:

The increment is 4% each year.

What is increment?

Increment is the amount or degree by which something changes especially the amount of positive or negative change in the value of one or more of a set of variables.

What is lease?

A lease is a legal, binding contract outlining the terms under which one party agrees to rent property owned by another party.

What is hundredth?

In arithmetic, a hundredth is a single part of something that has been divided equally into a hundred parts.

We use the formula,

[tex]A=P(1+\frac{R}{100})^{n}[/tex]

[tex]=62000(1+\frac{4}{100}))^{8} \\=62000(\frac{104}{100})^{8}\\ =84851.28[/tex]

The total rent for the entire 8-year lease to the nearest hundredth is $84851.28.

To know more about lease, hundredth, increment here

https://brainly.com/question/14804073

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Answer:

A, A

Step-by-step explanation:

they are both A´s

Answer:

49 - 49 = 0

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST

Answer: no solution

Step-by-step explanation:

Answer:

x = 4.3588989435406

I hope it's helps you

Answer:

Joe jumped farther because 60in is greater than 58in

Step-by-step explanation:

First you need to convert 4ft 10in into just inches in order to compare distances:

there are 12in per foot so 4(12)= 48 add the 10 in =58in

Joe jumped 60in and Omar jumper 58in

Answer:

x= 35/8 or 4 3/8

Step-by-step explanation:

8X=35

/8    /8

x= 35/8

x= 4 3/8

Answer:

$10.55

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Using the trig identity

sin²x + cos²x = 1 , then

sin²x = 1 - cos²x

cos²x = 1 - sin²x

Consider the left side

sin²A - cos²B

= (1 - cos²A) - (1 - sin²B) ← distribute parenthesis

= 1 - cos²A - 1 + sin²B

= sin²B - cos²A

= right side , thus verified

Answer:

<1 = 113

<2 = 67

<3 = 113

Step-by-step explanation:

m<2 = 67 (because of vertical angles)

<1 + 67 = 180

<1 = 113

<1 = <3 because of vertical angles

Answer:

23

Step-by-step explanation:

Answer:

1. 1/7

2. 1/4

Step-by-step explanation:

maths

Answer:

Step-by-step explanation:

My guess is x^5+x^4-X+7

Answer:

(F ° G)(x) = x⁶ + 16x⁴ + 84x² + 147

Step-by-step explanation:

(F ° G) (x) = f(g(x)) = (x² + 5)³ + (x² + 5)² – (x² + 5) + 2

_________________________________

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a + b)² = a² + 2ab + b²

_________________________________

(F ° G) (x) =

((x²)³ + 3(x²)²(5) + 3(x²)(5)² + (5)³) + ((x²)² + 2(x²)(5) + (5)²) + (-x² – 5) + 2 =

(x⁶ + 15x⁴ + 75x² + 125) + (x⁴ + 10x² + 25) + (-x² – 5) + (2) =

x⁶ + 16x⁴ + 84x² + 147

Answer:

3418.05

Step-by-step explanation:

SA=240sq.cm

have an amazing day <3

Answer:

40 hours

Step-by-step explanation:

Time=Distance/Speed

Time=1800/45

Time=40 hrs

Answer:

[tex]40h[/tex]

Step-by-step explanation:

[tex]speed = \frac{distance}{time} \\ time = \frac{d}{s} \\ = \frac{1800km}{45kmh ^{ - 1} } \\ = 40h[/tex]

hope this helps you.

Can I have the brainliest please?

Have a nice day!

Answer:

64

Step-by-step explanation:

Here is why:

The formula for Volume is Length * Width * Height

In this case 4*8*2.

Any Questions?

The correct answer is 64 square cm.

The formula to find the volume of a rectangular prism is length x height x width (i.e., lwh).

Input the values first:

4 x 8 x 2

Then calculate the expression:

4 x 8 x 2 = 64

I hope this helps; have a wonderful day!

Answer:

x=-11

Step-by-step explanation:

Answer:

A (-4,0), B (0,3) and C (-6,5)

Step-by-step explanation:

The coordinates for A are (-4,-3) B (0,0) and C (-6,2)

From there just add 3 to all theY values

The coordinates of the translated triangle would be A (-4,0), B (0,3) and C (-6,5)

Hope that helps!

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

use the formula

√(x2 - x1)² + (y2 - y1)²

here x2 = -12 , x1 = 12 , y2 = -2 and y1 = 5

so just substitute in the formula like this

√ ( -12 -12)² + (-2 - 5)²

√(-24)² + (-7)²

√ 576 + 49

√625

25

Answer:

3 |3 - 5x| - 8= -8

x = 3/5

Answer:

one solution at 0.6

Step-by-step explanation:

3|3-5x| = 0

|3-5x| = 0

3-5x = 0

-5x = -3

x = 3/5 or 0.6

Answer:

a) 83160

b) 12

Step-by-step explanation:

The prime factors of 840 are 2 x 3 x 5x 7*2*2

Prime factors of 8316 are 2*2*11*3*3*3

a) `Smallest whole number that is divisible by both 840 and 8316

We are supposed to find the LCM of the two numbers which is equal to

2*2*11*5*7*3*3*3*2 = 83160

b) Greatest whole number that will divide both both 840 and 8316

2*2*3 = 12

Answer:

L = Hyp²-B²

L=15²-12²

L =225 - 144 = 81

L= √81=9

Answer:

66

Step-by-step explanation:

10% of 330 = 33

another 10% of 330 = 33

therefore, 20% of 330 = 66

Answer:

32 unit cubes

Step-by-step explanation:

Volume = length x width x height

Volume = 4 x 2 x 4

Answer:

32 unit cubes

Step-by-step explanation:Volume = length x width x height

Volume = 4 x 2 x 4

Answer:

A

Step-by-step explanation: