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3 years ago

(x+7)(x+9) Do this math problem by using the Foil method.

Mathematics

2 answers:

Mila [183]3 years ago

8 0

Answer:

Step-by-step explanation:

F: x * x = x^2

O:9 * x = 9x

I : 7 * x = 7x

L: 7 * 9 = 63

x^2 + 9x + 7x + 63

x^2 + 16x + 63

Setler79 [48]3 years ago

3 0

Foil:
First term
Outer term
Inner term
Last term

By using foil we just times the first terms together so: x*x=x^2

Then we times the outer terms together so: x*9=9x

Then we times the inner terms together so:7*x=7x

Finally we times the last terms together so: 7*9=63

So our equation is:
X^2+9x+7x+63

Now we collect the like terms

Answer: x^2+16x+63

Hope this helped

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Determine whether set of values represents an inverse variation. If yes, identify the constant of variation and write an inverse

Natasha_Volkova [10]

SOLUTION

If the table represents an inverse variation, it means that y is inversely proportional to x, written as

$\begin{gathered} y\propto\frac{1}{x} \\ \propto is\text{ a sign of proportionality } \end{gathered}$

Removing the proportionality sign and introducing a constant k, we have

$\begin{gathered} y=k\times\frac{1}{x} \\ y=\frac{k}{x} \end{gathered}$

In the first column, we have x = -4 and y = 3.5. Substituting these values for x and y, we have

$\begin{gathered} y=\frac{k}{x} \\ 3.5=\frac{k}{-4} \\ k=3.5\times-4 \\ k=-14 \end{gathered}$

So, if it's an inverse variation, the relationship would be

$y=\frac{-14}{x}$

In the second column, x = -2 and y = 7.

Now lets substitute the value of x for -2. If we get y to be 7, then the relationship is an inverse variation

We have

$\begin{gathered} y=\frac{-14}{x} \\ y=\frac{-14}{-2} \\ y=7 \end{gathered}$

Since we got y = 7, the relationship is therefore an inverse variation.

The constant k = -14

The equation for the inverse variation is

$y=\frac{-14}{x}$

3 0

1 year ago

In the year 2000, a house was valued at $60 000.

Ne4ueva [31]

The percentage by which the cost is increasing will be 75%.

<h3>What is the percentage?</h3>

The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.

The percentage of the 8th graders who want to go to the water slides is found from;

In the year 2000, a house was valued at $60 000.

In 2010, the same house was valued at $80 000.

The percentage value is found as;

$\% = \frac{60000}{80000} \times 100 \\\\ \% =75 \%$

Hence the percentage by which the cost is increasing will be 75%.

To learn more about percentages, refer to:

brainly.com/question/13450942

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2 years ago

What binomial do you have to add to the polynomial 2x^2+3y^2-5xy+1 to get the following?

Contact [7]

Binomial $-3y^{2}+5xy$ when added to polynomial $2x^{2} +3y^{2} -5xy+1$ gives polynomial that does not contain the variable y .

<h3>What is binomial?</h3>

A mathematical expression consisting of two terms connected by a plus sign or minus sign .

Example: x + 2 is a binomial, where x and 2 are two separate terms.

<h3>What is polynomial?</h3>

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer

According to the question

polynomial $2x^{2} +3y^{2} -5xy+1$

when added with $-3y^{2}+5xy$

= $2x^{2}+1$ (as $3y^{2} -5xy$ got cancelled )