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Wewaii [24]
3 years ago
15

GCF of 28,42,and 56. Please show work

Mathematics
1 answer:
natta225 [31]3 years ago
4 0
<h2>Answer:  14</h2>

Step-by-step explanation:

If we factorize the numbers, we may be able to surmise the GCF:

28 = 2 × 2 × 7

42 = 2 × 3 × 7

56 = 2 × 2 × 2 × 7

∴ the GCF is 2 × 7 = 14

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Please help me!! 100 points!! A student solved the equation sin2x/cosx =2 ‘ 0=&lt; x =&lt; pi and found an answer of pi/2 descri
muminat

Answer:

sin(2x)/cos x = 2sin x*cos x/ cos x = 2 sin x = 2

sin x = 1

x = pi/2

but cos pi/2 = 0

so the given equation is indeterminate for x = pi/2

Step-by-step explanation:

3 0
3 years ago
The scale used on a map is 2 cm: 3500 feet. What is the distance between two cities if they are 10 cm away from each other on th
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3500 x 5 = 17500 feet
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2 years ago
Which of the values shown are potential roots of f(x) = 3x3 â€"" 13x2 â€"" 3x 45? Select all that apply.
Verdich [7]

The potential roots of the function are, \pm1, \ \pm3, \ \pm5, \ \pm9,\  \pm15, \ \pm45,\  \pm \dfrac{1}{3},\  \pm \dfrac{5}{3}

And the accurate root is 3 it can be determined by using rules of the rational root equation.

<h2>Given that,</h2>

Function; \rm f(x) = 3x^3 - 13x^2 -3x + 45

<h3>We have to determine,</h3>

Which of the values shown are potential roots of the given equation?

<h3>According to the question,</h3>

Potential roots of the polynomial are all possible roots of f(x).

\rm f(x) = 3x^3 - 13x^2 -3x + 45

Using rational root theorem test. We will find all the possible or potential roots of the polynomial.

\rm p=\dfrac{All\  the \ positive}{Negative\  factors \ of\  45}

\rm q=\dfrac{All\  the \ positive}{Negative\  factors \ of\  3}

The factor of the term 45 are,

\pm1, \ \pm3, \ \pm5, \ \pm9,\  \pm15, \ \pm45

And The factor of 3 are,

\pm1, \ \pm3

All the possible roots are,

\dfrac{p}{q} = \pm1, \ \pm3, \ \pm5, \ \pm9,\  \pm15, \ \pm45,\  \pm \dfrac{1}{3},\  \pm \dfrac{5}{3}

Now check for all the rational roots which are possible for the given function,

\rm f(x) = 3x^3 - 13x^2 -3x + 45\\\\ f(1) = 3(1)^3 - 13(1)^2 -3(1) + 45 = 3-13-3+45 = 32\neq 0\\\\ f(-1) = 3(-1)^3 - 13(-1)^2 -3(-1) + 45 =- 3-13+3+45 = 32\neq 0\\\\ f(3) = 3(3)^3 - 13(3)^2 -3(3) + 45 = 81-117-9+45 =0\\\\ f(-3) = 3(-3)^3 - 13(-3)^2 -3(-3) + 45 = -81+117+9+45 =-144\neq 0

Therefore, x = 3 is the potential root of the given function.

Hence, The potential roots of the function are, \pm1, \ \pm3, \ \pm5, \ \pm9,\  \pm15, \ \pm45,\  \pm \dfrac{1}{3},\  \pm \dfrac{5}{3}.

For more details about Potential roots refer to the link given below.

brainly.com/question/25873992

8 0
2 years ago
Suppose you have a standard deck of 52 cards. What is the probability that if you select a card at random that it does not have
dimaraw [331]
I have no idea if i’m honest
8 0
3 years ago
Find the geometric mean of 25 and 100.<br> A. 50<br> B. 62.5<br> C. 1250<br> D. 2500
Debora [2.8K]
<h3>Answer: Choice A) 50</h3>

For two numbers x and y, the geometric mean is G = sqrt(x*y)

In this case, x = 25 and y = 100, so

G = sqrt(x*y)

G = sqrt(25*100)

G = sqrt(2500)

G = 50

8 0
3 years ago
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