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4 years ago

What is the Value of the expression 1/4(c cubed + d squared) when c = -4 and d = 10

Mathematics

1 answer:

Blababa [14]4 years ago

7 0

Answer: 9

Step-by-step explanation:

$\frac{1}{4} (c^{3}+d^{2})$

c = -4
d = 10

Substitute in the values into the expression:

$\frac{1}{4} ((-4)^{3}+10^{2})\\\\=\frac{1}{4}(-64+100)\\\\=\frac{1}{4}(36)\\\\=\frac{36}{4} =9$

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What is the expression in factored form?x^2+13x+14

nydimaria [60]

Answer:

$\left(x-\dfrac{-13+\sqrt{113}}{2}\right)\left(x-\dfrac{-13-\sqrt{113}}{2}\right).$

Step-by-step explanation:

To factor the expression $x^2+13x+14$ you need to know its roots.

First find the discriminant of this quadratic polynomial:

$D=13^2-4\cdot 1\cdot 14=169-56=113.$

Then the roots of the expression $x^2+13x+14$ are

$x_{1,2}=\dfrac{-13\pm \sqrt{113}}{2}.$

Now the factored form is

$\left(x-\dfrac{-13+\sqrt{113}}{2}\right)\left(x-\dfrac{-13-\sqrt{113}}{2}\right).$

8 0

3 years ago

A baker has 12 pounds of almonds. She puts them in a bag so that each bag has the same weight. Clare and Tyler drew diagrams and

GarryVolchara [31]

Answer:

12 is how many pound of almonds there are. 6 is how many bags. 2 is how many almons there are in one bag for Tyler. For Clare is 12 almonds when there are 2 bags and there are 6 almonds in each bag.

Step-by-step explanation:

6 0

3 years ago

A spherical ball with a volume of 972π in.3 is packaged in a box that is in the shape of a cube. The edge length of the box is e

aivan3 [116]

To find the volume of the box you will use the volume of the sphere formula to find the radius of the circular region of the sphere. You wil then double the radius to find the diameter.

V = 4/3 x pi x r^3
972 x pi= 4/3 x pi x r^3
729 = r^3
The cubic root of 729 is 9 because 9 x 9 x 9 = 729.

The radius is 9 inches, and the diameter is 18 inches.

The volume of the box is 18 in x 18 in x 18 in or 5832 in.³.

4 0

3 years ago

Hi if y’all would like to help I would rlly appreciate it :) also +30 points if u can help meeeee thanks!

Vika [28.1K]

Answer:

a) X=0

b) X=2,-2

Step-by-step explanation:

7 0

3 years ago

Wats the answer ~!!!!!!!

shtirl [24]

The answer is c. My dude good luck

6 0

3 years ago