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creativ13 [48]
3 years ago
7

The standard form of the equation that represents the number of quarters, q, and the number of dimes, d, that austin has in his

piggy bank is 5q 2d = 270. explain what the intercepts mean in terms of the context and how to find them.
Mathematics
2 answers:
jarptica [38.1K]3 years ago
6 0

Answer:

To find one intercept, let d = 0 in the equation and solve for q. To find the other intercept, let q = 0 in the equation and solve for d. The intercepts mean that the bank could be filled with 54 quarters and no dimes, or 135 dimes and no quarters.

pickupchik [31]3 years ago
3 0
5q + 2d = 270
The intercepts can be calculated by first putting d equal to 0 and then q equal to 0. These will be:
5q = 270
q = 54; (0 , 54)
2d = 270
d = 135; (135, 0)
The equation represents the total number of coins in the piggy bank and (0 , 54) shows the number of quarters in the piggy bank when there are no dimes and (0 , 135) shows the number of dimes when there are no quarters.
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Solve the equation 6w2 – 7w – 20 = 0.
azamat

For this case we have the following quadratic equation:

6w ^ 2-7w-20 = 0

Where:

a = 6\\b = -7\\c = -20

Its roots will be given by:

w = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}\\w = \frac {- (- 7) \pm \sqrt {(- 7) ^ 2-4 (6) (- 20)}} {2 (6)}\\w = \frac {7 \pm \sqrt {49 + 480}} {12}\\w = \frac {7 \pm \sqrt {529}} {12}\\w = \frac {7 \pm23} {12}

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Answer:

w_ {1} = \frac {5} {2}\\w_ {2} = - \frac {4} {3}

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Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7
cricket20 [7]

Answer:

The price of a pint of veggies is $1.75

Step-by-step explanation:

* Lets change the story problem to equations and solve them to find

 the answer

- Chen is bringing fruit and veggies to serve at an afternoon meeting

- He spends a total of $28.70 on 5 pints of cut veggies and 7 pints

 of cut fruit

- The food cost is modeled by the equation 5 v + 7 f = 28.70, where

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∴ The first equation is 5 v + 7 f = 28.70 ⇒ (1)

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∴ The price of a pint of veggies is $1.75

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