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galina1969 [7]
3 years ago
7

Write an equation that models this situation. At a sports banquet, 8 guests are seated at each of the 15 available tables. How m

any guests (x) are seated at the tables?
Mathematics
1 answer:
DaniilM [7]3 years ago
6 0

Answer: The equation that models this situation is:

x = 15 × 8  or x ÷ 8 = 15

Step-by-step explanation:

Let 'x' be the total number of guests who are seated at the tables.

If have to determine how many guests (x) are seated at the tables, all we need is to multiply the 15 with 8.

so the equation becomes

x = 15 × 8  or x ÷ 8 = 15

Therefore, the equation that models this situation is:

x = 15 × 8  or x ÷ 8 = 15

hope this helps good luck

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3 years ago
Eliza started her savings account with $100. Each month she deposits $25 into her account. Determine the average rate of change
Afina-wow [57]
First, lets create a equation for our situation. Let x be the months. We know four our problem that <span>Eliza started her savings account with $100, and each month she deposits $25 into her account. We can use that information to create a model as follows:
</span>f(x)=25x+100
<span>
We want to find the average value of that function </span>from the 2nd month to the 10th month, so its average value in the interval [2,10]. Remember that the formula for finding the average of a function over an interval is: \frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1} }. So lets replace the values in our formula to find the average of our function:
\frac{25(10)+100-[25(2)+100]}{10-2}
\frac{350-150}{8}
\frac{200}{8}
25

We can conclude that <span>the average rate of change in Eliza's account from the 2nd month to the 10th month is $25.</span>
6 0
3 years ago
Is the following expression true or false? [x^2 + 8x + 16] · [x^2 – 8x + 16] = (x2 – 16)^2
Vilka [71]

(x^{2} +8x+16)(x^{2} -8x+16)\\(x+4)^{2} (x-4)^{2} \\(x^{2}-16)^{2} \\

it is true; just work them out, you should get what they got :))

3 0
3 years ago
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The expression sin x (cos x cot x - sin x) simplifies to?
nikdorinn [45]
◆ Trigonometric Identities ◆

Hey !!

Check the attachment.
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3 years ago
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Lim (x+1) (3x^2-9)<br> X2
mafiozo [28]

Answer:

\lim_{x \to 2} (x+1)(3x^2-9) = 9

Step-by-step explanation:

Step 1: Write out limit

\lim_{x \to 2} (x+1)(3x^2-9)

Step 2: Evaluate

(2 + 1)(3(2)² - 9)

3(3(4) - 9)

3(12 - 9)

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9

5 0
3 years ago
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