Order the fractions from least to greatest 3/5, 7/8, 5/6

Answers

Answer 1

Answer: 3/5, 5/6, 7/8
This is the order from least to greatest.

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Given the trinomial, what is the value of the coefficient 'B' in the factored form?2x2 − 12xy − 32y2 = 2(x − 8y)(x + By)

B= ____________

Numerical Answers Expected!

Answers

B is related to the last term of trinomial

Last term on the left hand side of the equation = Last term on the right hand side of the equation.

The last term on the right hand side is gotten by multiplying all the terms on the right of the two expression.

-32y²= 2*-8y*By

-32y² = -16By² Compare both

32 = 16B

16B = 32

B = 32/16

B = 2.

Answer:

Step-by-step explanation:

Be my best frienddd Ill make BrainLess! Which of the following organic compounds is the main source of energy for living things?

a.

carbohydrates

c.

nucleic acids

b.

lipids

d.

proteins

Answers

Answer:

Step-by-step explanation:

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Solve for the variable: 3(q-5)=2(q+5)

Answers

distribute
a(b+c)=ab+ac or
a(b-c)=ab-ac

so

3(q-5)=3q-15
2(q+5)=2q+10

3q-15=2q+10
minus 2q from both sides
q-15=10
add 15 to both sides
q=25

Find all values of c that will make the polynomial a perfect square trinomial. Options: c = 49 c = 100 c = 144 c = 169

Answers

Answer :

All values of $ c $, specifically $ c = 49, 100, 144, $ and $ 169 $, can make a polynomial a perfect square trinomial depending on the other terms of the polynomial.

Step-by-step explanation :

1. Understanding Perfect Square Trinomials :

A perfect square trinomial is one that can be written in the form:

\[ (ax + b)^2 = a^2x^2 + 2abx + b^2 \]

From this formula, the value $ c $ would be equivalent to $ b^2 $, and the coefficient of the linear term (the term with $ x $) would be $ 2ab $.

2. Analyzing Given Options :

- Option 1 : c = 49

For $ c = 49 $, $ b^2 = 49 $ which implies $ b = \pm 7 $. The middle term would then be $ 2a(7) = 14a $.

- Option 2 : c = 100

For $ c = 100 $, $ b^2 = 100 $ which means $ b = \pm 10 $. The middle term would then be $ 2a(10) = 20a $.

- Option 3 : c = 144

For $ c = 144 $, $ b^2 = 144 $ which translates to $ b = \pm 12 $. This makes the middle term $ 2a(12) = 24a $.

- Option 4 : c = 169

For $ c = 169 $, $ b^2 = 169 $ which gives $ b = \pm 13 $. Consequently, the middle term would be $ 2a(13) = 26a $.

3. Conclusion :

Without specific details on the polynomial or its middle term, we can deduce that any of the provided options for $ c $ can result in a perfect square trinomial if the linear term of the polynomial matches the $ 2ab $ value corresponding to that $ c $.

Use the general solution to solve 5 – 6x = 8x + 17.