Determine the slope and y-intercept from the following equation

y = (32) x + 3

Final answer:

The amount of money in a bank account is best described by the rational numbers set. In the context of money, this includes positive and negative numbers, as well as fractions of a dollar.

Explanation:

The set of numbers that best describes the amount of money in a bank account would be the

rational numbers

. Rational numbers are basically fractions, where the numerator and the denominator are both integers. In terms of money, this would include both positive and negative amounts (if you're considering the possibility of an overdraft), as well as fractions of a dollar (like cents). For example, if you have $20.25 in your account, this can be described as a rational number because 20.25 is a number that can be expressed as a fraction (2025/100). So, the amount of money in a bank account would fit under the

rational numbers

set.

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Answer:

f(-3) = 9

Step-by-step explanation:

Step 1: Define

f(x) = -2x² - 7x + 6

f(-3) = x = -3

Step 2: Substitute and evaluate

f(-3) = -2(-3)² - 7(-3) + 6

f(-3) = -2(9) + 21 + 6

f(-3) = -18 + 21 + 6

f(-3) = 3 + 6

f(-3) = 9

Substituting x = -3 into the function f(x) = -2x^2 - 7x + 6, we get f(-3) = -33. Therefore, the value of the function at x = -3 is -33.

To evaluate the function f(x)=−2x ^2 −7x+6 at  x=−3, substitute  −3 for x in the function: f(−3)=−2{(−3) }^2 −7(−3)+6

Now, calculate each part of the expression:

(−3) ^2   is 9  because the square of  −3 is  9.

−2 times 9 is  −18 because −2⋅9 =−18.

−7 times −3 is  21 because −7⋅−3=21.

Now, plug these values back into the expression:

f(−3)=−18−21+6

Finally, add and subtract:

f(−3)=(−18−21)+6=−39+6=−33

So, f(−3)=−33.

The value of the function

f(x)=−2x^ 2 −7x+6 at  x=−3 is  −33.

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Answer:

2 1/2 and 1 1/2

Step-by-step explanation:

Hello there!

(7 x 7) + 39 - 5 x 8

49 + 39 - 40

88 - 40

88 - 40 = 48

Answer:

48

Step-by-step explanation:

7x7=49

add 39 equals 88

5x8=40

88-40=48

Answer:

Step-by-step explanation:

There are lots of ways we can think about the typical number of cavities.

• What was the most common number of cavities?

• If we split the cavities evenly among all the patients, how many cavities would each patient have?

• What would be the balance point of the data?

• What is the middlemost number of cavities?  

The most patients had 0cavities.  

If we split the cavities evenly, each patient would have 2 or 3 cavities.  

If we put our dot plot on a balance scale, it would balance when the pivot was between 2 and 3 cavities.

The scale would tip if, for example, we put the pivot at 5 cavities.

There are 8 patients with 2 cavities each. About half of the rest of the patients have fewer than 2 cavities and about half have more than 2 cavities.

Of the choices, it is reasonable to say that a patient typically had about 2 cavities.

,                                  -Written in

Final answer:

The 'typical' number of cavities one patient had can be determined by finding the mode (most common number) in the data set, which should be represented in the dot plot. To do this, one would count the number of dots at each value on the dot plot. The value with the most dots would be the 'typical' number of cavities.

Explanation:

The question is asking for a 'typical' number of cavities one patient had out of Dr. Vance's 63 patients. In statistics, a typical, or 'common', value can be shown by calculating the mode, which is the number that appears most frequently in a data set.

Unfortunately, the dot plot is missing from the information provided. However, to find the mode (or typical value) using a dot plot, you would typically count how many dots are at each value on the plot. The value with the most dots (indicating the most patients with that number of cavities) is the mode. This would be the 'typical' number of cavities a patient of Dr. Vance had last month.

Let's create a hypothetical scenario. If your dot plot looked like this:

• 0 cavities: 10 patients
• 1 cavity: 15 patients
• 2 cavities: 24 patients
• 3 cavities: 8 patients
• 4 cavities: 6 patients

The mode would be 2 cavities because 24 patients had this amount, more than any other amount. Therefore, the 'typical' number of cavities one patient had would be 2.

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