2) Find the derivative of the function f(x) = 3x² by definition

Q: Solve the compound inequality. 3x +2>2x-4>X-14

A: a<x<b is equivalent to a<x  and  x<b.

Q: Show that B is the inverse of A. -4 2 A = - [ 1 ² ] B = [ 5 58 2 ↓ 1 AB = BA = 00 ↓ 1 - 1 2 = I = I

A:

Q: A company manufactures microchips. Use the revenue function R(x) = x(73-5x) and the cost function…

A:

Q: Let (G,*) be a group such that a² = e for all a E G. Show that G is commutative.

A: A detailed solution is given below.

Q: Suppose that $1200 is borrowed for five years at an interest rate of 6% per year, compounded…

A: Amount for a principalP, rate of interest R, Time t compounded continuously is given byA=Pert   ,…

Q: Write each fraction in simplest form. 3% 3 1. 63-2 2. 15 L = 3 18 = 3=6 11 3. 5 10

A: As per bertleby  guideline I have to solve only first question but I have provided the answer to…

Q: 2 sin ( 1₂ ) cos (1/₂) = √2

A: We have to find the value of 2sinπ12cosπ12 Using double angle identity of Sine…

Q: One number is 11 less than another. If their sum is increased by eight, the result is 71. Find the…

A: Given:      Let one number =x   Second number is 11 less than another =x-11    Sum is increased by…

Q: In a study on the speed of muscle contraction in a certain species of frogs under various loads,…

A: As x increases the function of the form 1x tends to zero, i.e. 1x values moves closer and closer to…

Q: 5. For exponential function defined by y = 3 3 (-/-) * a) Create a graph of the function including…

A:

Q: 7. Write the equation of the ellipse with a minor axis length of 8 units and foci at (-7, 4) and…

A:

Q: Q₁: (A) Let R=(Z12, +12-12). 1. Find all maximal ideals of R. 2. Evaluate char. (R). 3. Is R a…

A: Please see the below picture for detailed solution.

Q: In the given figure, find the measures of 21 and 22 m/1= m/2 = 80° 1 2

A: We use Property of parallel lines.

Q: . Find the range of the following: ) 150, 250, 825, 400, 18, 500 ) 2.2, 1.8, 5.1, 0.3

A: We need to find the range:-

Q: A chemical company makes two brands of antifreeze. The first brand is 60% pure antifreeze, and the…

A: Let x=Amount of 60% antifreeze And y=Amount of 85% antifreeze So according to given data we get…

Q: Moneysaver's Bank offers a savings account that earns 5% interest compounded continuously. If Dan…

A:

Q: 30% of the student in the class wrote the bus to school if nine students wrote the bus how many…

A: The answer is given below:

Q: Let D = {2, 4, 8) "For every z D, 2x¹ €

A: Given that set D = { 2, 4, 8}  And statement is  " For every x in D,   2| x". We need to check that…

Q: Method 2: Solving by Substitution. In solving by substitution, we transform a system of two linear…

A: To solve the given system of equations using substitution.

Q: Prove that: Asquare matrix B has inverse if and only if determinant of Bis not equal zero

A:

Q: solve for y: 2(3y + 5) = 3(5y + 1/3)    what does y equal?

A: Given query is to find the value of y.

Q: 83 feet to cubic in

A: Given query is to find convert the quantity.

Q: Directions: Complete the table below based on the given example. Answers for columns 3 to 5 must be…

A: We need to fill the table.

Q: Find the equation of a hyperbola satisfying the given conditions. Vertices at (0, 12) and (0, - 12);…

A: Vertices at (0,12) and (0,-12) foci at (0,20) and (0,-20)

Q: Fill in the missing values to make the equations true. (a) log, 5-log, 7 = logo ‚Ü (b) log+ logg 7 =…

A:

Q: The number H(t) of veterans from foreign wars who are homeless or at risk of becoming homeless can…

A: Given, H(t)=51(1.66)^t

Q: Watch the video and then solve the problem given below. Click here to watch the video. Complete a…

A: We can complete the truth table in the following steps.

Q: a b If p q |x y C r ZI ja+x b+y c+z 5z -r = -4, evaluate 5x 5y -P -q

A:

Q: 2A.6A: analyze the effect on the graphs of f(x) = x, when f(x) is replaced by af(x), f(bx), f(x -…

A:

Q: b) Expand and simplify the following expression: (6a-5b) (2a + 7b)

A:

Q: The amount of carbon-14 present in animal bones after t years is given by P(t) = Poe -0.00012t. A…

A: answer is in next step. please give a like !!

Q: A sandbox has the dimensions 1.2 m by 1.5 m with a height of 0.3 m. While remodelling their…

A:

Q: Use the following matrices to perform the indicated operation, when possible. (If not possible,…

A:

Q: Do the three points (1,−2), (2,4), and (−3,5) form a right triangle?

A:

Q: (b)(ii) Find a linear equation 1 + a

A: Solution of given question is written in below steps.

Q: If A = 3ai +4j-k and B = 4i+j-3k, find the value of a if A normal to B.

A: Given , A=3ai+4j-k, B=4i+j-3k. We know that if two vectors are normal , then dot multiplication of…

Q: Without graphing or showing the system, classify the solution to the following system: - x + 5y = 1…

A:

Q: Solve the following system of linear equations: x1+2x2-x3 x4 = −1 2x1+5x2-x3+x4 -1 -2x1-2x2+5x3+10x4…

A:

Q: Part C Without using a protractor, you can determine whether the angles are right angles by…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: WEST Write the equation of a line that is prependicular to x +2y = 1 and passes through the origin.…

A: This question is based on line equation which is perpendicular to given line.

Q: Fill in the missing values to make the equations true. (a) log, 5 - log, 2 = log, (b) log 11 + log =…

A:

Q: x-7 Graph the function f(x) = 2 (1) on the axes below. You must plot the asymptote and any two…

A: Given that, the function is fx=212x-7. Note that, the function fx=212x-7 defined for all values of…

Q: 9 J Write an expression to represent the volume of the rectangular prism 6w²-6 8w² +6w 3+4w 2w+2 4w²…

A:

Q: For An: ✓ Div C Sol Sol TOO +18c+81 c2-6c+9 p²--3p+2 Sig Il Mo X 25 J. MA snt

A:

Q: If COS 0 = √√3 2 ო sino = 9=1/1/21 FIN O sin0 = 1/14 2 O sin0 ine=-2/2 O sine= 11/13 2 == and < 0<-…

A: topic- trigonometric ratios

Q: 3.6.4 (x-3) (x+5) = 0 3.6.5 2x²-32 = 0 3.6.6 x²-3x-18 = 0

A:

Q: True or False 1. Every ring is a group. 2. Every subset of a ring is also a ring. 3. Any ring must…

A:

Q: Suppose a city with population 100,000 has been growing at a rate of 8​% per year. If this rate​…

A:

Q: If m and n are two possible times when the hour and minute hands of the clock will be equidistant…

A:

Q: A fruit grower raises two crops, apples and peaches. The grower ships each of these crops to three…

A: