Damarcus says the number 24 over 6 belongs only to the set of rational numbers.explain his error

Mathematics

1 answer:

nirvana33 [79]3 years ago

6 0

Because if you divide 24/6 you get 4 which is a whole number and rational

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Using the quadratic formula, solve the

Hitman42 [59]

The two possible solutions to the given equation ( 6x^2-35 = -11x ) are x = 5/3 and x = -7/2

<h3>What are the two possible solution to the equation?</h3>

Given the equation; 6x² - 35 = -11x

The quadratic formula is expressed as;

x = [ -b±√( b² - 4(ac) ]/2a

First, we re-arrange our equation in the form of ax² + bx + c = 0

6x² + 11x - 35 = 0

a = 6
b = 11
c = -35

We substitute into the formula.

x = [ -b±√( b² - 4(ac) ]/2a

x = [ -11±√( 11² - 4( 6 × -35 ) ]/2×6

x = [ -11±√( 121 + 840 ]/12

x = [ -11±√961 ]/12

x = [ -11 ± 31 ]/12

x = (-11 + 31)/12, (-11 + 31 )/12

x = 20/12, -42/12

x = 5/3, -7/2

Therefore, the two possible solutions to the given equation ( 6x^2-35 = -11x ) are x = 5/3 and x = -7/2

Learn more about quadratic formula here: brainly.com/question/4038687

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8 0

2 years ago

Find the slope, m of the line that passes through the points (8, 2) and (−7, −3).

katrin2010 [14]

Answer:

0.33333

Step-by-step explanation:

m= -3-2= -5 , -7-8= -15

m = -5 / -15 = -1 / -3 = 0.33333

6 0

3 years ago

Mr. Matthew is testing the online popularity of his custom made belts and wallets that were marketed differently. Some items wer

Tomtit [17]

See the attached figure
===========================
After 3 days, the total number of belts sold will be the same as the total number of wallets sold. The number of belts and the number of wallets Mr. Matthew sold after this many days is 27.

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Explanation of the answer:
The equation that represents the number of belts sold = 3^x ⇒⇒⇒ blue graph

The equation that represents the number of wallets sold = 4x+15 ⇒⇒⇒ red graph

The point of intersection represents the total number of belts sold will be the same as the total number of wallets sold.