1. f(x) = 2(x + 1)2 + 3 a) What is the sign of the leading coefficient? b) Does the parabola open upward or downward? c) What is the vertex of the parabola? d) Find the intervals for which f is increasing: Find the intervals for which f is decreasing:

Q: Derek rowed 16 miles downstream in 2 hours. The trip back upstream, however, took him 4 hours. Find ...

A:

Q: For Exercise, refer to functions m, n, p, q, and r. Find the indicated function and write the domain...

A: Given functions are

Q: Write -sz < 2.4 as two separate inequalities joined by "and."

A: Given, −1/2 ≤ z &lt; 2.4 This can be written as, −1/2 ≤ z and z &lt; 2.4

Q: For Exercise, solve the equation. V2n + 29 + 3 = n

A:

Q: Body temperature is usually maintained between 36.5°C and 37.5°C, inclusive. Determine the correspon...

A:  

Q: Just checking to see if I got this correct.

A: To determine if the statement is true or false.

Q: For Exercise, a. Graph the function. b. Write the domain in interval notation. c. Write the range in...

A:

Q: Find "x" for each of the following equations: a. 1.479 = 0.25x / (0.015-0.25x) b. 5.01 = 0.25x / (0....

A: Part (a): Given,

Q: Show all steps to add: 1/(x-4) + -5/(x+4)

A:

Q: The graph shows the depth d (in ft) of a retention pond, t days after recording began. Depth of Rete...

A:

Q: Two chicken coops are to be built adjacent to one another using 120 ft of fencing. a. What dimension...

A: Total fence needed is: (x+x+x)+y+y+y+y=3x+4y So, 3x+4y=120  

Q: For Exercise, solve the equation. V7x + 8 = x + 2

A: To solve the given equation.  

Q: do Subtrect 7-6i-19-9:)

A:

Q: 2a.

A:

Q: For Exercise, solve the equation. 3 20 ||

A:

Q: Use synthetic division to find the quotient and remainder when 0.2x° + 0.5x is divided by x+ 0.9 Quo...

A: Quotients of 0.2x^3+0.5x are 0.2 , 0 , 0.5 , 0 We have to divide them by x+0.9=0 or x=-0.9    

Q: Question 6 0.1pts Solve the problem. Two cars start from the same point and travel in the same direc...

A:

Q: I need to solve the absolute value equation for x. Can you please help me? |x - 4| = |3x + 10|

A: To determine the solution of the equation.

Q: need help on practice questions !!

A:

Q: 2.a

A: If x=5+4i is a zero then [x-(5+4i)]=(x-5-4i) is a factor of the polynomial. If x=5-4i is a zero then...

Q: The general form of an equation of a circle is (x – h)2 + ( y – k)2 = r2. If we solve the equation f...

A:

Q: For Exercise, the graph of y = f(x) is given. Graph the indicated function. Graph y = f(-x) – 2. %3!...

A: y=f(-x)-2 means y=f(x) reflected over the y-axis and moved 2 units down So, the new x value is -x an...

Q: #52

A: Given functions

Q: Find the complex zeros of the following polynomial function. Write f in factored form. f(x) = x* + 2...

A:

Q: For Exercise, solve for the indicated variable. for g T = 27,

A: To solve the given equation for the indicated variable.  

Q: For Exercise, solve the inequality, and write the solution set in interval notation if possible. y +...

A: We write the inequality without the absolute value sign

Q: For Exercise, identify all asymptotes (vertical, horizontal, and slant). 21 — х? — бх +7 т(x) x² - 3

A:

Q: For Exercise, solve the inequality. -4 x - 9

A:

Q: For Exercise, determine if the function is even, odd, or neither. z(x) = V49 + + x

A: To determine if the function is even, odd, or neither.  

Q: Use the discriminant (D=b2-4ac) to determine the type of solutions of each of the following quadrati...

A:

Q: Debbie is in a boat in the ocean 48 mi from point A, the closest point along a straight shoreline. S...

A: We will find DC using Pythagorean theorem.  Time = Distance/speed Speed of her boat= 20 mph  So she...

Q: What is the center, vertices, co-vertices, foci, and asymptotes of the hyperbola conic in standard f...

A: The standard form of equation of hyperbola with the horizontal transverse axis is given by Having t...

Q: For Exercise, the graph of y = f(x) is given. Graph the indicated function. Graph y %3D y = f(x).

A: means the graph of y=f(x) stretched by 2 horizontally. Shrank by 2 vertically. And reflected over th...

Q: For Exercise, find the slope of the secant line pictured in red. 6--y = f(x) %23 (3, 4) (1,1)" ! 2 3...

A:

Q: The graph of y = f(x) is given. Solve the inequalities. a. f(x) 0 d. f(x) > 0 y = f(x). 2 3

A: a) f(x)&lt;0 means we have to find the x values for which y&lt;0 Or we find the portions of the grap...

Q: 4.b

A:

Q: 2.c

A:

Q: Answer a, b,c

A: We subtract 2008 from the years to get the t values. And the R values are same as the given values

Q: Use the graph to solve the equation and inequalities. Write the solutions to the inequalities in int...

A: a) To solve for 2x+1=-x+4 we look at the intersecting point of y=2x+1 and y=-x+4 That is (1,3)  So s...

Q: Body temperature is usually maintained between 36.5°C and 37.5°C, inclusive. Determine the correspon...

A:   The temperature of the body in Fahrenheit at 36.5 degree Celsius and 99.5 degree Celsius:  

Q: Show all steps to solve the rational equation: 5/s - 4/9 = 9/s

A: Consider the given rational equation Here, the LCD is 9s.

Q: Show all steps to solve the system of equations: y = 2x + 3 2x + 4y = -8

A: Consider the system of equations: Rearranging the system of equations:      

Q: For Exercise, determine the asymptotes (vertical, horizontal, and slant). — 3х + 1 P(x) = 4x2 – 1

A: To find the asymptotes of the below equation.

Q: Word problem

A: (a) Sketch the profit versus the number of bicycles sold as follows. Since the minimum number of bic...

Q: For Exercise, perform the indicated operations and simplify. 2u 4u

A: given ,

Q: For Exercise, determine if the graph can represent a polynomial function. If so, assume that the end...

A: First, we need to determine whether the given graph represents the polynomial function or not. A pol...

Q: A restaurant will select 1 card from a bowl to win a free lunch. Jo puts 5 cards in the bowl. The bo...

A:

Q: Sum of three numbers is 94. The first number is 9 times more than the third. The second is 3 times t...

A:

Q: 3.c

A: