Let f(x) = = mx - 6 if x < -2 x² + 4x4 if x ≥ - 2 If f(x) is a function which is continuous everywhere, then we must m = Now for fun, try to graph f(x).

Q: Given the function defined in the table below, find the average rate of change, in simplest form, of…

A: To find out the average rate of change in the interval [4,6] by the use of table of values.

Q: Complete the table below. Decay Rate as a % 13% I 11% 4% 21✔ 0% 8✔ OF Identifying Decay Rates and…

A: identify decay rate and decay factor?? table given some term missing

Q: Show that any 3 × 3 matrix of the form ⎧ ⎩ a 1 0 0 a 1 0 0 b ⎫ ⎭ is defective.

A: We have to show that given matrix is defective.

Q: Let f(x) = x², g(x) = 9x, and h(x)=√x + 6. Express the following two functions as a composite of…

A: We have given three functions. f(x) = x^2 g(x) = 9x h(x) = √x + 6

Q: Question 2 If the spinner is spun 80 times, which color would you expect it to stop on about 30…

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Q: Given the function defined in the table below, find the average rate of change, in simplest form, of…

A: Given data: The function table is given: Average rate between 5≤ x ≤ 6

Q: Use the properties of logarithms to evaluate.   10log(√2)

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Q: Use the graph of the rational function to complete the following statement. As x→ 3, f(x) → As x…

A: The graph of the rational function is given.

Q: There are 42 pets at a local pet shop. Twenty-eight of the pets are fish, and the rest are birds.…

A: We have information regarding number of fish and birds in the pet store. Need to find the the ratio…

Q: How much money will there be in an account at the end of 6 years if $15000 is deposited at a 5%…

A:

Q: Solve the triangle. If two possible triangles exist, solve both triangles and list information for…

A: C=47° c=4 cm b=5 cm

Q: Identify the key features of the exponential function f(x) = 12*

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Q: 5. Write each fraction in terms of the LCD. 3x/x-8 4/x^2-64

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Q: Solve by Substitution J-4x 7y -5x + y -18 -3 O No solution O Infinite number of solutions

A: -4x-7y=-18-5x+y=-3

Q: Given that f(x) = 7x − 8 and g(x) = 6 - 2², calculate (a) f(g(0))- (b) g(f(0))-

A: Given: fx=7x-8, gx=6-x2 A composite function is a function that is formed by combining two or more…

Q: The rate of U.S. sales of bottled water for the period 2007-2014 could be approximated by s(t) =…

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Q: The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple…

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Q: - What is the degree for f(x) = 3(x² − 2)(x − 2)5(x - 1)4? Explain how you know.

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Q: Approximate the function value from the graph, if possible. Select "Undefined" if applicable. ^.

A: The function is shown below:

Q: Answer the focus questions at the beginning of today’s lesson (reprinted below).  Show examples and…

A: “Since you have asked multiple question, we will solve the first question for you. To get remaining…

Q: At age 35, you start saving for retirement. If your investment plan pays an APR of 6% and you want…

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Q: 88-19 Find the inverse Laplace transform f(t) = C¹ {F(s)} of the function F(s) = g²-68 +25 }-help…

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Q: Use what you know about the sums of the interior and exterior angles of triangles to determine the…

A: We need to find angle.

Q: A boat on a river travels downstream between two points, 40 mi apart, in 1 h. The return trip…

A: Distance between two points, =40 mi Time taken to travel down stream t=1 hr Time taken to travel…

Q: Use the ordinary annuity formula shown to the right to determine the accumulated amount in the…

A: NOTE: Refresh your page if you can't see any equations. . here we have PMT=40 t=20 years…

Q: Answer the following questions and show its Venn diagram. facebook 20 3 8 2 youtube instagram 5 1 7

A: As we know ⇒A or B=A∪B⇒A and B=A∩BWe use union when in statement word or uses and use intersection…

Q: Practice 4.5: Proving Theorems About Angles in Parallel Lines Cut by a Transversal Use the following…

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Q: Solve the system with the addition method: -30x + 35y |6x - 7y Answer: = -30 = 6 Enter your answers…

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Q: By studying the triangle below, compute cos(0). Round your answer to the nearest thousandth. 0 7 6

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Q: Write a vector with magnitude 7 and a standard position angle of 45° in standard position. Vector =…

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Q: a) b) SECTION 3.6 EXERCISES 1. For each of the following matrices, find a basis for the row space, a…

A: To find a basis for the null space, we form an augmented matrix by appending a column of zeros to…

Q: ㅠ Using the trigonometric substitution, = sin 0, given 0 ≤ 0 < 2 trigonometric function: x Simplify…

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Q: Perform the matrix operation. (If not possible, enter IMPOSSIBLE in any cell of the matrix.)

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Q: Lesson 12: Arithmetic with Complex Numbers Cool Down: Add, Subtract, Multiply 1. k = 3-4i and m =…

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Q: The doubling period of a bacterial population is 20 minutes. At time t = 110 minutes, the bacterial…

A: The doubling period of a becterial polulation is 20 minutes at time t=110 mintes bacterial…

Q: -4 -3 -2 -1 71 6 5 # 3 2 -2 2 3

A: We know that the general formula of the circle is (x-a)^2+(y-b)^2=r^2  Where (a,b) is centre and r…

Q: Jeremy decided that any girlfriend that required such an expensive wedding ring wasn't worth the…

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Q: Use a logarithmic model to solve. What is the decibel level of the noise from a motorcycle with…

A: Intensity I=10-3 watts per square inch

Q: 1 Mr Chan saved $750 of his monthly salary and gave the rest to Adam and Ben in the ratio 5:2. Ben…

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Q: HE 901 5 End Behavior 3- 2- 54-3-2-1 7 7 -2- -3 7 -5 1 2 3 4 5 6 7 8 a) Left hand end behavior: As →…

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Q: Use the properties of a Cauchy-Euler system to find a general solution of the given system. 41 -49…

A: We have given a system of equations. We have to find the general solution of the given equation.

Q: Solve for x. (Enter your answers as a comma-separated list.) X-4 |x-2x-5|=0 1 X =

A:

Q: Find the determinant of the matrix. -2 8 [4] 5

A: Determine of the matrix

Q: I think you did this question wrong

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Q: Explain the concept of one-to-one function. Provide two examples.

A: We have to explain the one-to-one function and give the example.

Q: Determine whether the following graph represents a function. -10 -8 6 4 -2 10 8 AL £ y -6 2 4 6 8 10…

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Q: Rearrange the following equation to standard form -4x+2y-3=0.

A: -4x+2y-3=0

Q: An angle has sin(0) = -0.4 and sits in quadrant 4. Compute tan(0). round your answer to the nearest…

A: given sin(θ)=-0.4 and θ is in quadrant 4

Q: Find the smallest positive value of t for whic f(t) = sin(t-1) 3 is the following. (a) f(t) is zero.…

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Q: IMGOD TRUNT A IMGODI TRINT 1991 1991 What is the probability of tossing 3 heads? 1991 B / 3100 IMGOD…

A: When three coins are tossed we have possible outcomes: 1st toss 2nd toss 3rd toss  x(no.of heads…