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Anettt [7]
3 years ago
7

Factorizing Quadratics 6x^2 – 42x + 72

Mathematics
1 answer:
Wewaii [24]3 years ago
8 0

Answer:

6(x - 3)(x - 4)

Step-by-step explanation:

Let's make this easier by taking a factor of 6 out of the quadratic:

6(x^2 - 7x + 12)

Now, which two numbers multiply to 12 and sum to -7?

-3 and -4.

6(x - 3)(x - 4) is therefore the answer.

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Graph the line that represents a proportional relationship between y and x where the unit rate of change of y with respect to x
Pachacha [2.7K]

The graph of a proportional relationship passes through the origin, and as a constant slope

The given parameter is:

  • Proportionality constant (k) = 10/7

<h3>Condition for a proportional relationship</h3>

For a proportional relationship, the equation of the graph is represented as:

y = kx

Substitute 10/7 for k

y = \frac{10}7x

See attachment for the graph of the proportional relationship

Read more about proportional relationships at:

brainly.com/question/12242745

8 0
3 years ago
What’s the least common denominator for the fractions 2/5 and 5/6
Rus_ich [418]

Answer: 30

Step-by-step explanation:

4 0
4 years ago
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Ruth wants to purchase a new video game that costs $59.00 and several bags of chips, c, that sell for $1.99 each. She can spend
Kazeer [188]

Answer:76$

Step-by-step explanation:

4 0
3 years ago
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Suppose a laboratory has a 26-gram sample of polonium-210.The half-life of polonium-210 is about days. a.How many half-lives of
vovangra [49]

Answer:

a) Two half lives, b) m(276) = 6.526\,g

Step-by-step explanation:

a) The polonium-210 has a half life of 138.4 days. Therefore, 1.994 half lives have past.  

b) Mass decay is described by the following exponential model:

m(t)=m_{o}\cdot e^{-\frac{t}{\tau} }

The time constant for the isotope is:

\tau = \frac{138.4\,days}{\ln 2}

\tau = 199.669\,days

The mass of the isotope after 276 days is:

m(276) = (26\,g)\cdot e^{-\frac{276\,days}{199.669\,days} }

m(276) = 6.526\,g

7 0
3 years ago
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What is the volume of a cube if it is 25cm long 6cm wide and 4cm high
galina1969 [7]
If you multiply 25×6×4 you should get 600.


hope this helps!
3 0
3 years ago
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