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valina [46]
2 years ago
13

Please help me, I don't know the answer WILL MARK BRANLIEST IF CORRECT :)

Mathematics
2 answers:
LuckyWell [14K]2 years ago
7 0

Answer:

the answer is C

Step-by-step explanation:

emmasim [6.3K]2 years ago
5 0

Answer:

the answer is C ........

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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
A cube has a surface area of 150 cubic meters. What is the length, in meters, of each side of the cube?
Virty [35]

Answer: 5 meters

Step-by-step explanation:

Cubes have six sides. 6x^2=150

150/6=25

Root 25=5

Also that should be square meters because surface area is in square measurements and volume is in cubic measurements

8 0
4 years ago
Can somebody help? Thank you.
VladimirAG [237]

Answer: C)  ASA = ASA

Refer to the diagram below. I've used color coding to match up the given statements with the drawing. Note how the red segments are between the blue and green angles. So we use ASA to prove the triangles are congruent.

4 0
3 years ago
Read 2 more answers
6.
Lena [83]

Answer:

-1110/39 is the number

Step-by-step explanation:

We want to find the number should be added to both numerator and denominator of the ratio 29 : 36 to make it equal to 3:42

Let the number to be added be x.

Thus;

(29 + x) : (36 + x) = 3:42

The proportion symbol is essentialy a division symbol.

Thus;

(29 + x)/(36 + x) = 3/42

Cross multiply to give;

42(29 + x) = 3(36 + x)

1218 + 42x = 108 + 3x

1218 - 108 = 3x - 42x

1110 = - 39x

x = -1110/39

8 0
3 years ago
In the image shown, line n is a transversal cutting parallel lines l and m. ∠1 = 3x + 18 ∠7 = 2x + 39 What is the measure of ∠7?
wel

Answer:

B) 81°

Step-by-step explanation:

Given:

From the figure given below,

∠1 = 3x + 18

∠7 = 2x + 39

∠1  and ∠7 are a pair of exterior alternate angles. For two parallel lines l and m, cut by a transversal n, the pair of exterior alternate angles are congruent to each other.

Therefore, the angles 1 and 7 are congruent to each other. This gives,

∠1  ≅ ∠7

3x+18=2x+39\\\\3x-2x=39-18\\\\x=21

Therefore, the value of 'x' is 21.

Now, the measure of angle 7 can be calculated by plugging in the value of 'x' in the expression for angle 7. This gives,

\angle 7 = 2x + 39\\\\\angle 7 =2\times 21+39\\\\\angle 7 =42+29\\\\\angle 7 =81\°

Therefore, the correct option is option (B).

4 0
4 years ago
Read 2 more answers
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