John paid 5% sales tax on his television, which cost $769 before taxes. What did the television cost in total?

Final answer:

To simplify (3x+8)(x+1), we can use the FOIL method, the Distributive Property, or a multiplication table, all leading to the same simplified expression: 3x² + 11x + 8. The FOIL method is typically the most efficient for binomials.

Explanation:

The question asks to simplify the expression (3x+8)(x+1) using a table, the Distributive Property, and the FOIL method and to determine which method is most efficient.

Using the FOIL Method

FOIL stands for First, Outer, Inner, Last and represents a quick way to multiply two binomials:

First: Multiply the first terms in each binomial (3x×x = 3x²).

Outer: Multiply the outer terms (3x×1 = 3x).

Inner: Multiply the inner terms (8×x = 8x).

Last: Multiply the last terms in each binomial (8×1 = 8).

Adding these products together, we get 3x² + 3x + 8x + 8, which simplifies to 3x² + 11x + 8.

Using the Distributive Property

This involves expanding the expression by multiplying each term in the first polynomial by each term in the second: (3x+8)(x) + (3x+8)(1), which also simplifies to 3x² + 11x + 8.

Using a Table

Create a table where you list each term of the first polynomial in the first row and the terms of the second polynomial in the first column, and then fill in the table with the products of the intersecting terms. The sum of these products will also yield 3x² + 11x + 8.

While all three methods will give the correct answer, the FOIL method is generally seen as the most efficient for this particular problem, as it provides a straightforward, step-by-step process that is easy to follow and remember for multiplying two binomials.

The answer to the given solution is 8.

Given that,

Based on the above information, the calculation is as follows:

[tex]f(x) = 2x^4 - 4x^3-11x^2+3x-6\\\\= 2(-2)^4 - 4(-2)^3-11(-2)^2+3(-2)-6\\\\= 2\times 16 - 4\times -8 - 11\times 4+ 3 \times -2 - 6\\\\[/tex]

= 32 + 32 - 44  - 6 - 6

= 8

Therefore we can conclude that the answer is 8

Learn more: brainly.com/question/17429689

the answer would be 90% because when you multiply 30% x 30% =90% its the same as 3 x 3 = 9

When you must multiply non whole numbers, decimals are easier to manipulate in the sense that setting up a multiplication problem with decimals rather than fractions is much simpler and easier to calculate.

Answer: 49/100 is correct

( that other answer was bothering me )

17 + 2 = 19 km is 1/2 of the total length, that is, 

19 = (1/2)h

(1/2)h = 19 multiply both sides by 2

h = 2*19

h = 38 km

The total length in kilometers is 38 km.

We have been given that 15 people can comfortably stand in a section that is 5ft by 8ft .

Hence, the area of this section is given by

[tex]A=5\times 8\\ A=40 ft^2[/tex]

Hence, we can say that 15 people can comfortably stand in an area 40 square feet.

Now, we know that 1 yard is equal to 3 feet.

Hence, the area of the section 400yds by 200 yds is equal to

[tex]400\times 3 \times 200 \times 3\\ =720000 ft^2[/tex]

Now, in 40ft^2, 15 people can stand comfortably.

Hence, in 720000 ft^2, number of people can stand comfortably is

[tex]\frac{15}{40} \times 720000\\ \\ =270000[/tex]

Therefore, 270000 people can stand in the park of dimension 400 yds by 200 yds

There are 50 total patrons. 16 like lattes, 12 like espressos, and 8 like both drinks.

Add the two totals for patrons that like either lattes or espressos:

[tex] 16 + 12 = 28 [/tex]

8 patrons like both drinks, so subtract this from the amount of patrons that like either drink:

[tex] 28 - 8 = 20 [/tex]

20 patrons like at least one drink.

Subtract the amount of patrons that like a drink from the total amount of patrons:

[tex] 50 - 20 = \boxed{30} [/tex]

30 patrons like neither drink.

Final answer:

Tree A, which lived for 65 years (6 decades and 5 years), lived longer than Tree B, which lived for 58 years.

Explanation:

To answer which tree lived longer, we can calculate the age of both trees. Tree A lived for 6 decades and 5 years. Since one decade is equal to 10 years, 6 decades would be 6 x 10 years, which is 60 years. Adding the additional 5 years, Tree A lived for a total of 60 + 5 = 65 years.

Tree B lived for 58 years. Comparing both ages, Tree A lived for 65 years while Tree B lived for 58 years. Therefore, Tree A lived longer than Tree B.

Answer:
12

Explanation:

The greatest common factor (GCF) is the largest factor two numbers share within their respective factor trees. In order to find the GCF, list factors of each number and then select the biggest one they have in common.

Factors of 108 are:
1, 108; 2, 54; 4, 27; 6, 18; 9, 12

Factors of 132 are:
1, 132; 2, 66; 3, 44; 4, 33; 6, 22; 11, 12

As can be observed, the largest number they have in common is 12. Therefore the GCF of 108 and 132 is 12.

Maria bought 8 daisies and 4 tulips in the bouquet.

Let's assume that Maria bought x daisies and y tulips. Since the total number of flowers in the bouquet is 12, we can write the equation: x + y = 12.

Also, the total cost of the bouquet is $12.52. Using the cost per flower, we can write another equation: 0.99x + 1.15y = 12.52.

Now we have a system of equations that we can solve. Multiplying the first equation by 0.99, we get 0.99x + 0.99y = 11.88. Subtracting this equation from the second equation eliminates the x term, giving us 0.16y = 0.64. Dividing both sides by 0.16, we find that y = 4.

Substituting this value back into the first equation, we can solve for x: x + 4 = 12, x = 8.

Therefore, Maria bought 8 daisies and 4 tulips in the bouquet.

Answer:I

Step-by-step explanation: