Which is the correct graph of y=2/x^2-4 ?

QUESTION 5 The temperature was -7°C in the morning. The temperature dropped 3°C by sunset. What was the temperature at sunset? +

Blizzard [7]

-10°C or you can put positive if you want

7 0

4 years ago

2+6y=3x+4 write the equation so that y is a function of x

Anna007 [38]

Start with

$2+6y=3x+4$

Subtract 2 from both sides:

$6y=3x+4-2 \iff 6y=3x+2$

Divide both sides by 6:

$y=\dfrac{3x+2}{6}$

5 0

3 years ago

Read 2 more answers

Value of 8 in 1,283,479

Nutka1998 [239]

Answer:

80,000

Step-by-step explanation:

Since 8 is 4 spaces to the left, it’s in the 10,000’s range, making it 80,000

6 0

3 years ago

A cone is cut into a cube as shown below. If the cone has a diameter of

Butoxors [25]

Answer:

184.43in².

Step-by-step explanation:

Total surface area of the solid = volume of the cube - the volume of the cone

For the CUBE;

Volume of the cube = L³ where L is the length of one side of the cube.

Since a cone of diameter of 6in is cut into a cube, then the length of the cube will be 6in.

Volume of the cube = 6³ = 216in³

For the CONE;

Volume of the cone = 1/3 πr²h

r is the radius of the cone = diameter/2

r = 6/2 = 3in

slant height l = 4.5in

the height h of the cone will be derived using the Pythagoras theorem.

l² = h²+r²

4.5² = h²+3²

h² = 4.5²-3²

h² = 11.25

h=√11.25

h = 3.35in

Volume of the cone = 1/3 × π × 3²× 3.35

= 31.57in³

Total surface area of the solid = 216in³-31.57in³

= 184.43in²

3 0

4 years ago

Multiply (2x2 + 3x − 6)(x − 1)

Grace [21]

For this question, it is reasonable to use the foil method. In order to use FOIL we need to understand what it stands for:
F-First
O-Outside
I-Inside
L-Last
(see attachment for visual)
Let's get started.
We are given:
$(2x^2 + 3x - 6)(x - 1)$
Start by distributing the 2 first, then the 3, and then lastly the -6
(2x^2)(x)+(2x^2)(−1)+(3x)(x)+(3x)(−1)+(−6)(x)+(−6)(−1)
From here multiply the terms you have gathered from FOILING:
 $2x^3-2x^2+3x^2-3x-6x+6$

From here we combine like terms. Like terms are terms that contain the same variable and/or exponential value. For example:
3c and 4c are like terms because they have the same variables
24 and 50 are like terms because they are simply numbers without any variables.
It is best to put the like terms together in parentheses so that it is easier to combine them.
$(2x^3)+(-2x^2+3x^2)+(-3x-6x)+(6)
$
Combine:
$2x^3+x^2-9x+6
$

Final answer: $2x^3+x^2-9x+6$
If you have an further questions, please do not hesitate to comment below! Have a nice day! :)

8 0

4 years ago

Read 2 more answers