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3 years ago

.(3x+1)(x-3) Binomial

Mathematics

1 answer:

Dafna11 [192]3 years ago

5 0

Answer:

3x^2−8x−3

Step-by-step explanation:

(3x+1)(x−3)

=(3x+1)(x+−3)

=(3x)(x)+(3x)(−3)+(1)(x)+(1)(−3)

=3x^2−9x+x−3

=3x^2−8x−3

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Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $ 79.

xxMikexx [17]

Answer:

Price of the adult's ticket = $13

Price of a child's ticket = $ 10

Step-by-step explanation:

Given:

Cost of train fares for Three adults and four children = $79

Cost of train fares Two adults and three children = $ 56

To Find:

Price of the adult's ticket and the price of a child's ticket =?

Solution:

Let the cost of one adult's ticket be x and

Let the cost of one child's ticket be y

Then

Three adults and four children must pay $ 79 be

3x + 4y = 79-----------------------------------------------(1)

Two adults and three children must pay $56

2x + 3y = 56----------------------------------------------(2)

multiply eq(1) by 2, we get

6x + 8y = 158----------------------(3)

multiply eq(2) by 3, we get

6x + 9y = 168----------------------(4)

Subracting (3) from (4)

6x + 9y = 168

6x + 8y = 158

(-) (-) (-)

------------------------------

0x + y = 10

------------------------------

y=10

Now substitute the value of y in eq (1) to get the value of x

3x + 4(10)= 79

3x + 40 = 79

3x = 79 - 40

3x = 39

x = $\frac{39}{3}$

x= 13

3 0

4 years ago

You have decided to purchase a car for $22,346.16. The credit union requires a 10% down payment and will finance the

sukhopar [10]

Answer:

(b) $\$24,169.60$

Step-by-step explanation:

Given: Cost of car is $\$22,346.16$

Sales tax is $7.6\%$

The license and title charges are $\$125.13$

To find: The amount that the credit union will finance.

Solution:

We have,

Cost of car $=\$22,346.16$

Sales tax is $7.6\%$ of $\$22,346.16$

Therefore,

sales tax $=\frac{7.6}{100}\times22,346.16=\$1698.31$

The license and title charges $=\$125.13$

Now, the amount that the credit union will finance is

cost of car $+$ sales tax $+$ the license and title charges

$=\$22346.16+\$1698.31+\$125.13$

$=\$24,169.60$

Hence, the amount that the credit union will finance is $\$24,169.60$ .

So, (b) $\$24,169.60$ is correct.

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