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3 years ago

What is the interval notation for the compound inequality? x ≤ −4 or x ≥ 5

Mathematics

1 answer:

torisob [31]3 years ago

8 0

Answer:

(-∞, -4] ∪ [5, ∞)

Step-by-step explanation:

Hi!

Alright, so greater (or less) than or equal to is denoted with a bracket.

If x is less than or equal to -4, then the bracket is on the left side.

(___, -4]

Because x is <em>any</em> number under or equal to -4, x can range from negative infinity. However, we use a parentheses for infinity because infinity can never truly be reached.

So, x $\leq$ -4 = (-∞, -4]

X $\geq$ 5

Equal to = bracket

X is any number above 5, so

[5, ∞)

Because we want both of these, we use the union sign (∪)

so,

= (-∞, -4] ∪ [5, ∞)

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1. Escribe como potencia los siguientes productos y luego resuelve como se indica en el ejemplo. a) 6.6.6 = 6 3 = 216 f) 11.11=

alexandr402 [8]

Answer:

(Véase la explicación para mayores detalles/See the explanation for further details)

Step-by-step explanation:

a) Tres al cubo (Three to cube):

$x = 3 \times 3 \times 3$

$x = 3^{3}$

$x = 27$

b) Seis al cubo (Six to cube):

$x = 6 \times 6 \times 6$

$x = 6^{3}$

$x = 216$

c) Cinco al cuadrado (Five squared):

$x = 5 \times 5$

$x = 5^{2}$

$x = 25$

d) Ocho al cuadrado (Eight squared):

$x = 8 \times 8$

$x = 8^{2}$

$x = 64$

e) Dos a la quinta (Two to five):

$x = 2 \times 2 \times 2 \times 2 \times 2$

$x = 2^{5}$

$x = 32$

f) Diez a la cuarta (Ten to four):

$x = 10\times 10 \times 10 \times 10$

$x = 10^{4}$

$x = 10000$

3 0

3 years ago

What is the rate of change ?

postnew [5]

The rate of change is also called the slope
the formula foe the rate of change is (y2-y1) / (x2-x1)

x1 = -3
x2 = 6
y1 = 14
y2 = -1
rate of change = (-1 - 14) / (6- (-3)
= -15 / 9
= -5/3

3 0

3 years ago

Me need more help plz also add explanation real explanation

Reika [66]

So we want to find the surface area of this pyramid. Finding the surface area of a 3D shape is essentially finding the area of all its sides and adding them together.

What we're going to have to do here is find the area of the base of the pyramid, which is basically a square, and find the area of all four sides of the pyramid, which are triangles.

Formula for area of a square: length × width

Formula for area of a triangle: (base × height) ÷ 2

First we will find the area of the base:

l × w = A

(Write out formula)

8 × 8 =

(Input values)

A = 64 m^2 (square meters or meters squared)

(We have our answer, dont forgot to write your units.)

So we've figured out the area of the base. Now onto the triangles:

(b×h) ÷ 2 = A

(Write out formula)

(8 × 6) ÷ 2 =

(Input values)

48 ÷ 2 =

(Use PEMDAS to solve this correctly. We did whatever was in the parenthesis first, which was multiplication.)

A = 24m^2 (square meters or meters squared)

(We have our answer.)

Now we've found the area of the base of the pyramid and one of the sides of the pyramid, but we're almost done! There's four sides to the pyramid, they're all the same. So since we found the area for one, we can multiply that by 4 to find the area of all sides added together:

24 × 4

(area of a side × total sides)

= 96m^2

All that's left is adding the 96 to the area of the base to get our total surface area of the pyramid:

96 + 64 = 160

The surface area of the pyramid is 160m^2(square meters or meters squared)

(Hope this helps :) )

8 0

2 years ago

Read 2 more answers

If 5 1/3= x/3 then x=

rosijanka [135]

Answer:

Step-by-step explanation:

Hope you get it.

You would just convert 5 1/3 into a improper fraction 16/3=16/3

3 0

3 years ago

If n is the square root of a positive integer, and is divisible by both 2 and 6, what is the least possible value of n?

Paraphin [41]

6 is the square root of 36 and is divisible by 2 and 6.

6 0

3 years ago