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Xelga [282]
2 years ago
14

Factor the following polynomial 14x^2 - 35x

Mathematics
1 answer:
KonstantinChe [14]2 years ago
4 0

Answer:

The binomial 14x^{2} - 35x can be factored as 7x(2x+5)

Step-by-step explanation:

When factoring, you want to factor each constant or variable by their greatest common factor (or GCF). Since 14x^{2} and 35x has a greatest common factor of 7x, factor each term by 7x and you'll get 7x(2x+5).

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Answer:

Elizabeth spent 17.5 hours and her sister spent 12.5 hours.

Step-by-step explanation:

Let x be the number of hours that Elizabeth shoveled and y be the number of hours that her sister shoveled.

Number of hours they shoveled = 30

So, x + y = 30 or

y = 30 - x

Jenna charged $12 per sidewalk.

So, her total earnings = 12x

Her sister charged $11 per sidewalk.

So, her total earnings = 11y.

Their total income = $347.50.

So, 12x + 11y = 347.5

Substitute y = 30 - x,

12x + 11(30 - x) = 347.5

12x + 330 - 11x = 347.5

x + 330 = 347.5

x = 347.5 - 330

x = 17.5 and

y = 30 - x = 30 - 17.5 = 12.5.

Hence, Elizabeth spent 17.5 hours and her sister spent 12.5 hours.

4 0
3 years ago
Megan creates a scale drawing of a car. The ratio of her scale drawing length to actual car
Alika [10]

Answer:

Givens

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  • The scale is 3 cm : 2 m.
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First, we need to find the actual length of the car using Megan's ratio.

If 2 centimeters is equivalent to 1 actual meter of the car, 6 centimeters of drawing would be equal to

M=6cm \times \frac{2m}{3cm} =4m

Therefore, the car is 4 meters long.

Now, using this information, we can find the length of the scale drawing of Ivan.

I=4m \times \frac{2cm}{1m}=8cm

Therefore, Ivan's drawing is 8 centimeters long.

6 0
3 years ago
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Explanation:
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2+1/2x=y

Y=1/2x+2
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at the grocery store, 1/5 of the groceries are produce. of the produce, 2/3 is vegetables. what fraction of the groceries in the
avanturin [10]
66 is the anwer I think I'm not for sure I hope this helps and you get it right
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Luda [366]

Answer:

POG

Step-by-step explanation:

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