Determine which consecutive integers do not have a real zero of f(x) = x3 + 5x2 - x - 6 between them.
a.(-6,-5)
c. (-2, -1)
b. (-5, 4)
d. (1,2)

The statement that best describes Jace's work is D. Jace is correct. The phrase more than suggests addition, so Jace showed that 14 plus a variable equals 56.

The concept that will be used here is word problem solution , then we need to interprete it then perform the neccessary simplification. . We were told that  the  sentence as an equation is 56 is 14 more than a number.

14+ = 56

then we can represent the number as X

then input into the equation as:

14+X = 56

x=56-14

=42

Therefore, option D is correct.

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complete question:

Jace wrote a sentence as an equation.

56 is 14 more than a number.

14+ = 56

Which statement best describes Jace's work?

Jace is not correct. The phrase more than suggests using the symbol > and Jace did not use that symbol.

Jace is not correct. He was correct to use addition, but the equation should be 56+ p = 14

Jace is not correct. The first number in the sentence is 56, so the equation should start with 56.

Jace is correct. The phrase more than suggests addition, so Jace showed that 14 plus a variable equals 56.

Answer:

integers

Step-by-step explanation:

If you can earn 8 percent on your money, the prize worth to you is: $76,812.50. To calculate the present value of the prize, we need to determine the current worth of receiving $1000 per month for 9 years, given an 8 percent annual interest rate.

This situation can be evaluated using the concept of the present value of an annuity. The present value of an annuity formula is used to find the current value of a series of future cash flows. In this case, the future cash flows are the $1000 monthly payments for 9 years. By applying the formula, which involves discounting each cash flow back to its present value using the interest rate, we find that the present value of the prize is $76,812.50.

This means that if you were to receive $1000 per month for 9 years and could earn an 8 percent return on your money, the equivalent present value of that prize, received upfront, would be $76,812.50.

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Answer: c. a = 2y and b = -3

Step-by-step explanation:

To find the values of a and b in this division problem, we need to perform polynomial division. Starting with the dividend, 8y^2 – 12y + 4, we divide the leading term of the dividend, 8y^2, by the leading term of the divisor, 4y. This gives a quotient of 2y.

Next, we multiply the divisor, 4y, by 2y and subtract it from the dividend, 8y^2 – 12y + 4. This gives a remainder of -3.

So, in this division problem, the values of a and b are a = 2y and b = -3.

Answer:

It's A.

Step-by-step explanation:

Answer:

10 inches

Step-by-step explanation:

1,000 / 100 = 10

Answer:

This proves that f is continous at x=5.

Step-by-step explanation:

Taking f(x) = 3x-1 and \(\varepsilon>0\), we want to find a \(\delta \) such that \(|f(x)-14|<\varepsilon\)

At first, we will assume that this delta exists and we will try to figure out its value.

Suppose that \(|x-5|<\delta\). Then

\(|f(x)-14| = |3x-1-14| = |3x-15|=|3(x-5)| = 3|x-5|< 3\delta\).

Then, if \(|x-5|<\delta\), then \(|f(x)-14|<3\delta\). So, in this case, if \(3\delta \leq \varepsilon\) we get that \(|f(x)-14|<\varepsilon\). The maximum value of delta is \(\frac{\varepsilon}{3}\).

By definition, this procedure proves that \(\lim_{x\to 5}f(x) = 14\). Note that f(5)=14, so this proves that f is continous at x=5.

Answer:

252

9x9=81 +3=84

84x3=252

Answer:

90

Step-by-step explanation

(9x9)+(3x3) so first i multiplied 9x9= 81.

then i did 3x3 which is 9

then i added 9+81=90

so the answer is 90

Answer:

option (3)is correct, take 180 +180=360

Step-by-step explanation:

I DON'T KNOW IF THIS IS CORRECT IM SORRY IF IT'S WRONG!!!!!!

The probability that the interval estimation procedure will generate an interval that does not contain the actual value of the population parameter being estimated is the confidence coefficient.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

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Answer: $7734.82

Step-by-step explanation:

You would use the equation F=Pe^rt because the interest is continuous.

What we know:

F= 2000

r= 4.75%

t= 20

Plug in the information to the equation: 2000=Pe^.0475*20.

Because we need P by itself, you would divide the e^rt on both sides so then they cancel out and you get 2000/e^.0475*20 = 7734.820469.

Rounding it to the hundredth place, you’ll get $7734.82

Hope that this helps :)

Answer:

Below

Step-by-step explanation:

Value will be original value * ( 1 + i)^n      i = decimal annual interest

                                                                      n = years

  Value = 300 ( 1 + .07)^10 = 590.15  (dollars ?)

Answer:

5 is the base

4 is the exponent

The rate at which lemons are being used in cups of lemonade per lemon is 0.83 cups of lemonade per lemon

To find the rate at which lemons are being used in cups of lemonade per lemon, we need to divide the number of cups of lemonade produced by the number of lemons used.

In this case, 5 cups of lemonade are produced from 6 lemons, so the rate at which lemons are being used in cups of lemonade per lemon is:

5 cups of lemonade ÷ 6 lemons = 0.83 cups of lemonade per lemon (rounded to two decimal places)

the rate at which lemons are being used in cups of lemonade per lemon is 0.83 cups of lemonade per lemon

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If x and y are integers and x=50y+69, the only option that must be odd is option c, x + 2y.

To determine which of the given expressions must be odd, we need to analyze the equation x = 50y + 69.

Given that x is defined in terms of y, we can substitute this expression into the given options to evaluate their parity.

a. xy = (50y + 69)y = 50y^2 + 69y

The product of two integers will be even if one or both of the integers are even. Since y can be any integer, xy can be even or odd. Therefore, option a is not necessarily odd.

b. x + y = (50y + 69) + y = 50y + 70

The sum of two integers will be even if both integers have the same parity. In this case, since 50y is always even (multiplication by 50), and 70 is even, the sum 50y + 70 is always even. Therefore, option b is not necessarily odd.

c. x + 2y = (50y + 69) + 2y = 50y + 2y + 69 = 52y + 69

Similar to the previous case, the sum 52y + 69 is always odd, regardless of the value of y. Therefore, option c must be odd.

d. 3x - 1 = 3(50y + 69) - 1 = 150y + 207 - 1 = 150y + 206

Since integers 150y is always even (multiplication by 150), and 206 is even, the sum 150y + 206 is always even. Therefore, option d is not necessarily odd.

e. 3x + 1 = 3(50y + 69) + 1 = 150y + 207 + 1 = 150y + 208

As shown before, 150y is always even (multiplication by 150), and 208 is even, so the sum 150y + 208 is always even. Therefore, option e is not necessarily odd.

Therefore, the only option that must be odd is option c, x + 2y.

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For the system of equations, we need to plot a straight line passing through the intercepts.

Inequalities are equations separated by an equal sign. Given the following system of inequality

3y >2x + 12

2x + y ≤ -5

For the system of equations, we need to plot a straight line passing through the intercepts.

For the inequality 3y >2x + 12, the upper part of the graph will be shaded and the line dashed.

For the inequality 3y >2x + 12, the lower part of the graph will be shaded and the line solid.

The graph of the system of equations is graphed below

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Aida's score of 30,025 points is less than Dave's score of 30,205 points.

We know that inequalities are used to compare values and represent a wide range of relationships between numbers. We will use the concept of inequality to solve this problem

To compare Aida's number of points to Dave's number of points, we can use the symbol ">" (greater than), "<" (less than), or "=" (equal to).

Based on the given information:

Aida's score: 30,025 points

Dave's score: 30,205 points

To compare their scores, we can write the number sentence:

Aida's score < Dave's score

This statement means that Aida's score of 30,025 points is less than Dave's score of 30,205 points.

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Answer:

To get rid of a log on one side of an equation, you can use the inverse operation of taking the logarithm, which is raising the base of the logarithm to the power of both sides of the equation.

Step-by-step explanation:

For example, if you have an equation: log base 2 (x) = 3

You can eliminate the log on the left side by raising 2 to the power of both sides:

2^(log base 2 (x)) = 2^3

Simplifying the left side using the logarithmic identity:

x = 8

So the solution is x = 8, and the logarithm has been eliminated.

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Answer:

25% decrease

Step-by-step explanation:

Percentage Decrease = [(Start Value - Final Value) / |Start Value|]×100

80 - 60 = 20

20 / 80 = 0.25

0.25(100)= 25%

Main Answer: A normalized binary number typically consists of three parts:

Supporting Question and Answer:

What is a sign bit in a normalized binary number?

The sign bit is the leftmost bit of a normalized binary number and indicates whether the number is positive or negative .A value of 0 indicates a positive number, while a value of 1 indicates a negative number.

Body of the Solution: A normalized binary number typically consists of  the following three parts:

Final Answer: A normalized binary number typically consists of three parts:

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Answer:

If the data below were represented with a stem-and-leaf plot, a stem of 2

would have how many leaves?

17, 22, 53, 74, 42, 62, 93, 12, 67, 29, 50 come baby join meet

Answer: the answer is 0.078, 0. 708, 0.78, 0.87

Answer:

0.078 < 0.708 < 0.78 < 0.87

Shawn earn 11 per hour.

Hannah travel 25 miles in one gallon of gas.

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

given:

According to the graph the y- axis shows the earnings.

So, we have the coordinates are

(1, 11), (2, 22) and (3, 33)

So, Shawn earn = 22 - 11 / 2 -1 = 11 per hour.

Now, in second case

The coordinates are

(3, 75), (5, 125), (6, 150), (10, 250)

So, m= (125 - 75) / (5-3)

m= 50/2

m=25

So, Hannah travel 25 miles in one gallon of gas.

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EXPLANATION.

When the mean and median are of the same value, the data are said to be symmetric or to form a symmetric set.

therefore the answer is: the option B.

Answer:

1/2

Step-by-step explanation:

Answer:

(- 3, - 1 )

Step-by-step explanation:

1 down means subtract 1 from the y- coordinate

2 units right means add 2 to the x- coordinate

(- 5, 0 ) → (- 5 + 2, 0 - 1 ) → (- 3, - 1 )

Answer:

should be 2/3

Step-by-step explanation:

12/18= 2/3

Answer:

17

Step-by-step explanation:

12½ - (-4½)

12½ + 4½

17

hope it helps!

we have to convert the mixed fractions to improper fraction and do the arithmetic as follows:

\(\frac{25}{2}-(-\frac{9}{2} ) =\frac{25}{2} +\frac{9}{2}=\frac{34}{2} =17\)

\(12\frac{1}{2} -(-4\frac{1}{2} )=?\)

The fractions are represented in mix fractions. Therefore, let's convert it it to improper fractions before doing the arithmetic.

\(12\frac{1}{2} = \frac{25}{2}\)

\(-4\frac{1}{2} = -\frac{9}{2}\)

Therefore,

\(\frac{25}{2}-(-\frac{9}{2} ) =\frac{25}{2} +\frac{9}{2}\)

Note - × -  = +

Therefore,

\(\frac{25}{2} +\frac{9}{2} =\frac{25+9}{2}\)

\(\frac{25+9}{2} = \frac{34}{2}=17\)

Therefore, the arithmetic is 17

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