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k0ka [10]
3 years ago
14

Write a related subtraction fact for 7+3=10

Mathematics
2 answers:
viva [34]3 years ago
5 0
Fact Family

3+7 = 10
10-7 = 3
10-3 = 7

saveliy_v [14]3 years ago
4 0

family fact:

7+3 =10

3+7 = 10

10-3 =7

10-7 = 3

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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
If anybody is good at math , can you drop your number or something
Luden [163]

Answer:

its the third one

Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
The length of a rectangle is 6 inches longer than it is wide. If the area is 160 square inches, what are the dimensions of the r
BartSMP [9]

Answer:

L = 16

w = 10

Step-by-step explanation:

Givens

Area = 160 sqr inches

width = x

length = x + 6

Equation

Area = L * w

Solution

Substitute in the equation all of the givens.

160 = x(x + 6)                     Remove the brackets

160 = x^2 + 6x                   Subtract 160 from both sides.

160-160 = x^2 + 6x - 160

0 = x^2 + 6x - 160

This equation factors. Turn it around first

x^2 + 6x - 160 =  0

(x - 10)(x + 16) = 0

Answer

x (width) = 10

x + 16 = 16

8 0
2 years ago
Read 2 more answers
If A ⊂ B, then A ∩ B = ∅. <br> true<br> false
Aloiza [94]

Answer: false

Step-by-step explanation:

4 0
3 years ago
Shelly is going shopping at the mall to buy 3 pairs of shoes. She has a coupon for $2 off per pair of shoes after buying the fir
Gre4nikov [31]

Answer: $28-$33

Step-by-step explanation: Call the cost per pair x. She buys the first pair full price, so x, then 2 dollars off, so x-2, and 2 dollars off, so x-2, adding them up you get 3x-4= total money spent. Sinze this ranges from 80-95 solve equations and you get 28 and 33 respectively.

8 0
3 years ago
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