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iVinArrow [24]
4 years ago
9

HELP ASAP!!

Mathematics
1 answer:
7nadin3 [17]4 years ago
5 0

Answer:

96

Step-by-step explanation:

Each face of the cube has an area of 4 * 4 = 16 and since there are 6 faces on a cube the answer is 16 * 6 = 96.

You might be interested in
when is it possible for the product of a rational and an irrational number to result in a rational value?
zimovet [89]

It is always possible for the product of a rational number and irrational number to result in a rational value.

7 0
4 years ago
Please help me with this it's really important
wlad13 [49]

Answer:

There are 14 4-point questions and 26 2-point questions.

Step-by-step explanation:

m  = number of 4-point questions

n = number of  2-point questions

m+n =40

4m + 2n =108

You can solve system by elimination:

Multiply the 1st equation by -4 and keep the 2nd equation the same.

−4(m+n=40) → -4m -4n= -160

                       4m+2n=108 add them up

-2n = -52 divide both sides by -2

n = 26

plug it back in to solve for m

m + n = 40 →m + 26 =40 subtract 26 to both sides

m = 14

3 0
3 years ago
What are the roots of the polynomial equation x3 - 6x = 3x2 - 8? Use a graphing calculator and a system of equations.
makkiz [27]

Answer:

d : 4, 1, -2.

Step-by-step explanation:

There's no need for a calculator in my opinion because we can use the rational root theorem which states that the equations of this form:

\sum_{i=0}^{n} a_{i}x^i = 0 = a_{0} + a_{1}x + a_2x^2 + ... + a_nx^n = 0\\ a_i \in \mathbb{Z}

Have rational roots, than the roots are of the form: \frac{k \cdot a_o}{p \cdot a_n}, \ where \ k, p \in \mathbb{Z}.

Rewriting the equation we have:

x^3 - 3x^2 -6x + 8 = 0\\By \ our\ previous \ claim \ x \in D_8 \ where \ D_n \ the \ set \ of \ divisors \ of \ n.\\D_8 = \{\pm 1, \pm 2, \pm 4, \pm 8\} \\We \ plug \ in \ some \ number from \ D_8.\\Letting \ x = -2;\\(-2)^3 -3(-2)^2 -6(-2) + 8 = 0 \ \ \ Thus \ x+2 \ is \ a \ factor.\\We \ can \ now \ simplify \ the \ eq. \ using \ Polynomial \ Long \ Division.

x^3 -3x^2 -6x + 8 = (x+2)(Q(x))\\To \ find \ Q \ we \ divide \ the \ original \ equation \ by \ x + 2; which \ yields:\\Q(x) = x^2 - 5x + 4.\\So \ we \ can \ use \ the \ quadratic \ formula \ to \ find \ the \ roots:\\x = 4,x = 1. \\Thus \ x \in \{-2, 1, 4\}. \ \ These \ are \ all \ the \ roots.

5 0
4 years ago
Round the following to the hundredth:<br> 45.9563
vovikov84 [41]

Answer:

The answer rounded to the hundredth is 45.96.

6 0
3 years ago
Read 2 more answers
5. Evaluate the function f (x) = 4•7^x for x=-1 and x= 2. Show your work.
mr Goodwill [35]

Answer:

Given

f

(

x

)

=

4

⋅

7

x

For

x

=

−

1

we have

f

(

−

1

)

=

4

⋅

7

−

1

=

4

7

using

a

−

n

=

1

a

n

For x=2, we have

f

(

2

)

=

4

⋅

7

2

=

196

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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