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3 years ago

Which graph represents the solution set of the inequality x + 2 greater-than-or-equal-to 6

Mathematics

2 answers:

Iteru [2.4K]3 years ago

6 0

Answer:

x ≥ 4; solid circle at 4 and shaded to the right

Tanzania [10]3 years ago

5 0

Answer:

x ≥ 4; solid circle at 4 and shaded to the right

Step-by-step explanation:

Given:

x +2 ≥ 6

Subtract 2

x +2 -2 ≥ 6 -2

x ≥ 4

This is graphed as a solid circle at x=4 and shaded to the right (where x > 4).

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State the value of 'x' in this equation, and explain why you know this to be true without doing any calculations.

Kaylis [27]

Answer:

x=9

a^b = a^c

then b=c

so in this case x=9

4 0

1 year ago

A shopkeeper marks his goods at 40% above cost (the price he pays for the goods) and then offers a 25% discount. If a jacket cos

IgorC [24]

Marked price = 200 + 40% of 200 = 200 * 0.4*200 = 200 + 80 = $280 price after 25% discount = 280 - 0.25*280 can you work that out?

8 0

3 years ago

1.) A 20° sector in a circle has an area of 21.5π yd².

a_sh-v [17]

Part 1) A 20° sector in a circle has an area of 21.5π yd².

What is the area of the circle?

we know that

the area of a circle represent a sector of $360$ degrees

so by proportion

$\frac{21.5\pi }{20} =\frac{x}{360} \\ \\ x*20=360*21.5\pi \\ \\x=(360*21.5*3.14)/20\\ \\x= 1,215.18\ yd^{2}$

therefore

the answer part 1) is

The area of the circle is $1,215.18\ yd^{2}$

Part 2) What is the area of a sector with a central angle of 3π/5 radians and a diameter of 21.2 cm?

we know that

the area of the circle is equal to

$A=\pi r^{2}$

where

r is the radius of the circle

in this problem we have

$Diameter=21.2\ cm\\ r=Diameter/2\\r=21.2/2\\r= 10.6\ cm$

Find the area of the circle

$A=\pi r^{2}$

$A=\pi*10.6^{2}$

$A=352.8104\ cm^{2}$

Find the area of the sector

we know that the area of the circle represent a sector of $2\pi$ radians

by proportion

$\frac{352.8104}{2\pi }=\frac{x}{(3\pi/5)} \\\\x*2\pi=(3\pi*352.8104)/5\\ \\x= 105.84\ cm^{2}$

therefore

the answer part 2) is

the area of the sector is

$105.84\ cm^{2}$

7 0

3 years ago

Use the info given to find the new price: original price: $24 and discount rate: 11%. What is the new price????

ELEN [110]

So I think you have to find 11% of 24 and that is 11/100 x 24 = 2.64$. Then you reduce it to the real price 24-2.64= 21.36$ (the new prize). I might be completly wrong but I hope this helps

3 0

3 years ago

Al sumar fracciones con igual denominador, debemos sumar numerador con numerador y denominador con denominador. Verdadero o fals

Ahat [919]

Answer:

La respuesta es falso.

Step-by-step explanation:

La respuesta es falso.

Cuando se suman fraccciones con igual denominador, se suman los numeradores (numerador con numerador) y se deja el mismo denominador (el cual es común en ambos). Por ejemplo, la suma de 1/5 + 3/5 da como resultado:

$\frac{1}{5} + \frac{3}{5} = \frac{1 + 3}{5} = \frac{4}{5}$

En el caso de fracciones con diferentes denominadores, tampoco se suma numerador con numerador y denominador con denominador. En ese caso se debe encontrar el mínimo común múltiplo.

Por lo tanto, la respuesta es falso.

Espero que te sea de utilidad!

7 0

2 years ago