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2 years ago

How to do foils in algebra

1 answer:

8 0

Foils stands for first, outer, inner, last.

For example:

(3x + 5)(2x + 3)

Multiply the firsts together.

3x * 2x = 5x²

Now multiply the outer together.

3x * 3 = 9x

Now multiply the inners.

5 * 2x = 10x

Now multiply the lasts.

5 * 3 = 15

so the answer would be:

5x² + 9x + 10x + 15
5x² + 19x + 15

Hope this helps :)

You might be interested in

For which sample size (n) and sample proportion (p) can a normal curve be

Nonamiya [84]

Answer:

Option c.

Step-by-step explanation:

Using the normal curve to approximate a sampling distribution:

For a sample size n and a proportion n, the normal curve can be used if:

$np \geq 10$ and $n(1-p) \geq 10$

Option a:

$np = 35*0.8 = 28 > 10$

$n(1-p) = 35*0.2 = 7 < 10$

So option a cannot be used.

Option b:

$np = 65*0.9 = 58.5 > 10$

$n(1-p) = 65*0.1 = 6.5 < 10$

So option b cannot be used.

Option c:

$np = 65*0.8 = 52 > 10$

$n(1-p) = 65*0.2 = 13 > 10$

So option c can be used, and is the answer

Option d:

$np = 35*0.9 = 31.5 > 10$

$n(1-p) = 35*0.1 = 3.5 < 10$

So option d cannot be used.

The answer is given by option c.

7 0

2 years ago

Joe wrote an inequality

pychu [463]

Answer:Please see answer in explanation column

Step-by-step explanation:

The sum of a number and 7 is not more than 10

Given answer: x + 7 < 10 , This is false

Reason :Not more than 10 means at most 10, less than or equal to 10 , " or " not greater than 10 "and therefore the correct inequality is written as

x + 7 ≤ 10

The product of a number and 4 is at least 20

Given answer: 4X > 20 ---- False

Reason :At least 20 means at no less than 20 " or " greater than or equal to 20 therefore the correct inequality is written as

4X ≥ 20

The difference between a 15 and a number is at most 12

Given answer: 15-x>12----False

Reason :At most 12 means " no more than 12 , " " less than or equal to 12 , " or " not greater than 12"therefore the correct inequality is written as

15-x ≤ 12

The quotient of a number and 8 is greater than or equal to

Given answer 8x <3 --False

Reason : It clearly stated greater than or equal to 3. Therefore the correct inequality is 8x ≥ 3

6 0

2 years ago

Refer to table 28-6. what is the u-2 measure of labor underutilization?

mafiozo [28]

Bvgdgmhmgjm,jh,,,,,,,,,,,,,,,,,

4 0

3 years ago

Maitri and Aabhas do a work in 12 hours.

tamaranim1 [39]

Answer:

See below ~

Step-by-step explanation:

Given

Maitri and Aabhas do a work in 12 hours
Aabhas and Kavya do the work in 15 hours
Kavya and Maitri do the work in 20 hours

Solving

Take Maitri, Aabhas, and Kavya to be x, y, z respectively
x + y = 12 (1)
y + z = 15 (2)
x + z = 20 (3)

Take Equation 1 and rewrite it so that it is equal to x.

x = 12 - y

Take Equation 2 and rewrite it so that it is equal to z.

z = 15 - y

Now, substitute these values in Equation 3.

x + z = 20
12 - y + 15 - y = 20
-2y + 27 = 20
2y = 7
y = 7/2 = 3.5 hours [Aabhas]

Substitute the value of y in Equation 1.

x + 3.5 = 12
x = 8.5 hours [Maitri]

Substitute the value of y in Equation 2.

3.5 + z = 15
z = 11.5 hours [Kavya]

Add the values of x, y, and z together.

x + y + z
8.5 + 3.5 + 11.5
12 + 11.5
23.5 hours [together]

8 0

1 year ago

F(x)=6x-18 sub in f(x/3), f(x)/3

arlik [135]

These are two separate problems: in the first we will have to substitute in a new value for x into the original equation and in the second we will manipulate the preexisting equation for f(x).

To begin, we will sub in f(x/3). To do this, we will substitute each variable x in the equation (in this case there is only one) with x/3, and then simplify the resulting equation.

f(x) = 6x - 18

f(x/3) = 6(x/3) - 18

To simplify, we should distribute the 6 on the right side of the equation.

f(x/3) = 6x/3 - 18

Now, we can divide the first term on the right side to finalize our simplification.

f(x/3) = 2x -18

Secondly, we are asked to find f(x)/3. To do this, we will take our original value for f(x), and then simplify divide that entire function by 3.

f(x) = 6x - 18

f(x)/3 = (6x-18)/3

This means that we must divide each term of the binomial by 3, so we are really computing

f(x)/3 = 6x/3 - 18/3

We can simplify by dividing both of the terms.

f(x)/3 = 2x - 6

Therefore, your answer is that f(x/3) = 2x - 18, but f(x)/3 = 2x - 6. It is important to recognize that these are two similar, yet different, answers.

Hope this helps!

8 0

2 years ago