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3 years ago

5-2x = 41 +- 8x to calculator

Mathematics

1 answer:

Katarina [22]3 years ago

7 0

X=6

Explanation:
solate the variable by dividing each side by factors that don't contain the variable.

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At 6 a.m. the temperature was

ExtremeBDS [4]

Answer:

-6 degrees Fahrenheit

Step-by-step explanation:

Begginging temp: 26 degrees

Temp. dropped: 32 degrees

26 - 32 = -6 degrees

8 0

3 years ago

The surface area of a rectangular prism is 32 square inches. The volume of the prism is 12 cubic inches. The sum of all edge len

Goryan [66]

Answer:

36 cubic inches.

Step-by-step explanation:

Let the length, width and height of the rectangular prism are a, b, c respectively.

So, surface area, 2(ab + bc + ca) = 32 {Given} ............ (1)

Volume, abc = 12 {Given} ............ (2)

And, the sum of all the edges, 4(a + b + c) = 28 {Given} .......... (3)

Now, if the length width and height are increased by 1 inch, then the volume of the prism will be = (a + 1)(b + 1)(c + 1)

= abc + (ab + bc + ca) + (a + b + c) + 1

= 12 + 16 + 7 + 1 {From equations (1), (2) and (3)}

= 36 cubic inches. (Answer)

3 0

4 years ago

Find (f/g) (x) for the functions provided: ƒ(x) = x3 − 27, g(x) = 3x − 9

AnnZ [28]

Answer:

$(\frac{f}{g})(x)=\frac{1}{3}(x^2+3x+9)$

Step-by-step explanation:

We have been given that

$f(x)=x^3-27,g(x)=3x-9$

We can use the formula for difference of cubes to simplify the function f(x)

difference of cubes - $a^3-b^3=(a-b)(a^2+ab+b^2)$

$f(x)=x^3-27\\\\=x^3-3^3\\\\=(x-3)(x^2+3x+9)$

And g(x) can be written as

$g(x)=3x-9\\=3(x-3)$

Thus, we have

$(\frac{f}{g})(x)=\frac{(x-3)(x^2+3x+9)}{3(x-3}$

On cancelling the common factors, we get

$(\frac{f}{g})(x)=\frac{1}{3}(x^2+3x+9)$

5 0

3 years ago

D is the midpoint of CE. E has coordinates (-13,-11), and D has

docker41 [41]

Answer:

Step-by-step explanation:

(x - 13)/2 = 3

x - 13 = 6

x = 19

(y - 11)/2 = -4

y - 11 = -8

y = 3

(19, 3) for Coordinates of C

4 0

4 years ago

One platy requires 5 liters of water to live healthfully. What is the maximum number of healthy platies that can be kept in a re

vagabundo [1.1K]

Answer:

Step-by-step explanation:

I like to work liter volume problems in terms of decimeters. 1 dm = 10 cm, and 1 dm³ = 1 L, so the tank is 3 dm by 4 dm by 3 dm = 3×4×3 dm³ = 36 L.

36 liters will support 36/5 = 7.2 platies.

7 platies can be kept in the aquarium.

3 0

3 years ago