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1) Find the total area of the shape. 2) Determine the value of 'L'. Area = 40. 3) Determine which choice best shows the distributive property of multiplication. A. 1 x 4 = 4 B. ...
A container holds 16 pints of lemonade. How much is this in gallons? Use the table below. Include the correct unit in your answer.
6. In the spring, you could serve a tennis ball at a rate of 43 mi/h. The speed of your serve increased 12% after practicing all summer. About how fast is your serve after pract...
Read the passage and answer the following questions The river had risen overnight, and by morning the lower field lay under gray water. Caleb leaned on the fence, watching the ...
Exponential and logarithmic functions with the same base are __________ because they undo each other. The graph of a logarithmic function is reflected across the line __________...
for white feathers (recessive). According to the Punnett square for this cross, what percentage of offspring is predicted to have blue feathers? 25 percent 50 percent 75 percent...
Find the area of each figure. 1. parallelogram: base, 11 cm; height, 12 cm 2. triangle: base, 8 mi; height, 13 mi 3. trapezoid: height, 7 km; bases, 8 km and 12 km
Select all the functions that have a factor of x + 1. r(x) = x^3 + 5x^2 + 7x + 3 g(x) = x^3 - 2x^2 - 7x - 4 h(x) = x^3 - 5x^2 + 2x + 8
Select all of the true statements about this function. p(x) = 2x^3 - 14x - 12 p(-1) = 0 p(3) = 0 x + 1 is a factor of p(x). x - 3 is a factor of p(x).
In g(x) = a log<sub>b</sub>(x - h) + k, the value of ________ controls the horizontal shift. In g(x) = a log<sub>b</sub>(x - h) + k, the value of ________ controls the vertical ...
37. There is an algal bloom in a bay in a populated area. As the leading marine biologist in the area, what is the most important thing to do, based on scientific evidence about...
1. What is the vertical asymptote of h(x) = log8(x + 4) - 1? a. x = 4 b. x = -4 c. y = -1 d. x = 0 2. What is the domain of h(x) = log8(x + 4) - 1? a. (4, ∞) b. (-∞, ∞) c. (-1, ...
A logarithmic equation includes a logarithm with a variable in its __________. The relationship \(\log_b(x)=y\) can be rewritten in exponential form as __________. A logarithm i...
1. Solve the equation. 6^(x-2)=6^5 a. x=3 b. x=5 c. x=7 d. x=10 2. What is an extraneous solution? a. A possible solution that does not satisfy the original equation b. A soluti...
1. Which equation is equivalent to \(\log_4(x)=3\)? a. \(4x=3\) b. \(x^3=4\) c. \(3^4=x\) d. \(4^3=x\) 2. Which property can be used to solve \(b^m=b^n\)? a. Same base property ...
Solve the equation. Round to the nearest hundredth. 5(1.2)^x = 30 a. (x \approx 9.83) b. (x \approx 5.00) c. (x \approx 6.00) d. (x \approx 30.00)
What does infrastructure mean? What infrastructure was built for trade and forts? What happens when it is easier to travel? What did the forts offer settlers? Whose land was it ...
In an exponential table, the input values usually increase by 1, while the output values are multiplied by a _________ over each equal interval. The equation form f(x) = a(b)^x ...
An exponential graph often has a _________ asymptote. A logarithmic graph often has a _________ asymptote. For an exponential graph in the form f(x) = a(b)^x, the point (0, a) c...
1. An exponential graph in the form f(x) = a(b)^x passes through (0, 11), (1, 33), and (2, 99). What are a and b? a. a = 33, b = 3 b. a = 5, b = 11 c. a = 11, b = 3 d. a = 11, b...
The amount of gasoline remaining in a speedboat is modeled by the equation y = 200 - 40x, where x is the number of miles and y is the gas remaining in gallons. Based on this equ...
A speedboat travels 2,000 meters in 20 minutes at a constant speed. Which equation models the distance the speedboat travels (y) for any given number of minutes (x)? y = 100x y ...
The table below shows the cost of manufacturing dry erase markers in a factory. A linear function models the cost per pencil. Which statement about the rate of change of this fu...
Find x if the line through the points (6, x) and (1, -5) has a slope of 2.
What is the slope of the line that passes through the points (9, -10) and (14, 5)? Write your answer in simplest form.
What is the slope of the line that passes through the points (−9, 10) and (−13, 13)? Write your answer in simplest form.
What is the slope of the line that passes through the points (2, 8) and (12, 20)? Write your answer in simplest form.
Given the function below, fill in the table of values and use the table values to graph. \( y = 5x \) | \( x \) | \( y = 5x \) | |---|---| | \(-3\) | | | \(-2\) | | | \(-1\) | |...
Write a polynomial function of least degree with zeros -1, -7, and -2. Write your answer using the variable x and in standard form with a leading coefficient of 1. f(x) =
Write a polynomial function of least degree with zeros 1, 3, and 8. Write your answer using the variable x and in standard form with a leading coefficient of 1. f(x) =
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