Quadratic equations Questions and Answers

1 2 A 3 73 D 4 5 Segments AC and BD are diameters of circle O B 6 C 7 8 9 10 What is the measure of ADB 107 O146 O 253 O 287

A 2 C 3 F B G D 5 E 6 H 7 8 9 10 In circle D which is a secant EF DC OAB OCH

In circle O AE and FC are diameters Arc ED measures 17 F LL E D 2 A BU C 10 What is the measure of EFC 107 180 O 253 O 270

Find all solutions to the equation in the interval 0 27 Enter the solutions in increasing order cos 2x cos x X x 4 Remember cos 20 cos 0 sin 0 Enter

Find the exact value using a sum or difference identity cos 75 Hint sin A B sin A cos B cos A sin B cos A B cos A cos B sin A sin B Enter

Consider the function above and compare the results from the closed Newton Cotes Formulas trapozoidal with n 1 the open Newton Cotes formula n 1 and Gaussian Quadrature when n 2 and n 8 respectively f x x6 x sin 2x dx

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Put the equation in standard form x y 10x 6y 33 0 x y Enter

Find the missing term in this geometric sequence 13 208

y varies inversely with x y is 12 when x is 5 What is y when x is 6 y

750 are deposited in an account with 8 interest rate compounded continuously What is the balance after 6 years F Round to the nearest cent

Write the polynomial as a product of linear factors x4 x3 5x x 6 1 x x 3 x i x i Enter

A cellular service provider charged a customer 40 for 150 minutes of airtime The same provider charged another customer 55 for 300 minutes of airtime What linear model represents the total cost C as a function of t the amount of airtime in minutes Provide your answer below

Find f 2 for the piece wise function f x 2x 1 ifx 1 x 2 if x 1 f 2 Enter

f x 3x 11x 3 f 3 Be sure to simplify your answer

Find the exact value without a calculator 7T tan 12 7 6 2 7 6 2 sin COS 1 Enter

A firm will break even no profit and no loss as long as revenue just equals cost The value of x the number of items produced and sold where C x R x is called the break even point Assume that the below table can be expressed as a linear function Find a the cost function b the revenue function and c the profit function d Find the break even point and decide whether the product should be produced given the restrictions on sales a The cost function is C x Simplify your answer Fixed cost Variable cost Price of item 450 20 35 According to the restriction no more than 24 units can be sold

Find and interpret the average rate of change illustrated in he following graph Value of Machine in thousands of dollars 15 12 3 2 Year U Find the average rate of change Select the correct choice below and fill in the answer box to complete your choice Type a whole number O A The average rate of change is per year O B The average rate of change is year per

Find the slope if it exists of the line containing the pair of points 9 2 and 5 2 Select the correct choice below and if necessary fill in the answer box to complete your choice OA The slope of the line is OB The slope is undefined Type an integer or a simplified fraction

A walkway rises 5 5 ft for every 5 ft on the horizontal Find its slope or grade Select all that apply A 11 10 B 5 5 C 1 1 D 5 5 5 E 110 F 5 5 5 G 10 H 1000 5 ft 5 5 ft

The tangent line to a circle may be defined as the line that intersects the circle in a single point called the point of tangency Find the standard form of the equation of the circle with center 9 6 and tangent to the x axis The standard form of the equation of the circle with center 9 6 and tangent to the x axis is Type an equation YA

Prove An even plus an odd equals an odd 2m 2n 1 2 m odd

a Use a graphing utility to graph f x x 5x 2 on the interval 2 2 and approximate any local maxima and local minima b Determine where f is increasing and where it is decreasing a Using a graphing utility graph the function for 2 x 2 and 4 y 10 Choose the correct graph below OA The local maximum is y Round to two decimal places B ww and it occurs at x O C Q Q G 4

A manufacturer sells belts for 12 per unit The fixed costs are 2400 per month and the variable cost per unit is 8 a Write the equations of the revenue R x and cost C x functions R x C x b Find the break even point It takes units to break even

b The slope it Answer 10 y 10 5 5 10F undefined Select negative positive 0 5 0 5 10 I X

cost in dollars of producing a product is given by C x 600x 0 1x 1500 where x represents the number of units produced a Give the total cost of producing 10 units b Give the value of C 100 C 100 c Give the meaning of C 100 For every 100 increase in cost this many more units can be produced This is the total cost in dollars of producing 100 units It costs 100 to produce this many units For every additional 100 units created the cost in dollars decreases by this much

Find the average rate of change of f x 3x 2 over each of the following intervals a From 0 to 2 b From 1 to 1 c From 0 to 3 1 a The average rate of change from 0 to 2 i

Good luck 2 DETAILS HARMATHAP12 1 1 033 MI 0 1 Submissions Used Solve the inequality 9 x 1 8x 1

Solve the equation X 3 X 4 x 36

If f 7 22 then f f 7

Algebra 1 10 1 1 Day 1 10 15 May 17 2023 a Name Medina Shehu 10 10 David was solving the equation 100x 300 500 he wondered if he could first change the equation to x 3 5 What do you think Explain your reasoning a Solve both equations and verify they have the same solution b What could you do to the equation 100x 300 500 to change it to x 3 5 10 11 Solve the system of equations using any method 3x 3 4 6x 5y 12 b Hour 3x 2y 30 2x 3y 19 10 12 In a certain small town 65 of the residence subscribe to the city Sunday paper 37 subscribe to the weekly local paper and 25 subscribe to both papers a What are the two variables Now create a two way table b If a resident is selected at random what is the probability he or she subscribes to at least one of the tw papers Charlie s neighbor subscribes to a paper What is the probability that he takes the Sunday paper

10 13 Graph the system on inequalities y2x x 4 y x 10 14 Solve for x using the method of your choice a 0 2x 5x 33 b 0 3x 4x 1 10 15 A line has intercepts 4 0 and 0 3 Write the equation for the line TEL TE X1

Expand the function f x 4x 3 x x x

Determine whether the given binomial is a factor of the polynomial p x If it is find the remaining factors of p x 2 p x x 2x 7x 14 x 2 X 7v 2x47x 141x 2

In how many ways can the letters A C E G K S be arranged

1 Write a function whose graph has two vertical asymptotes located at x 5 and x 2

Solve the equation by factoring 2x 8x x Enter smallest solution first Enter

In how many ways can a quality control engineer select a sample of 3 transistors for testing from a batch of 100 transistors Enter

Factor f x 6x 25x 21 x x Enter

7 Find the greatest common divisor of the polynomials f x x5 4x 2x g x x 3 in Z5 x

The table below gives the probability density for blood types in a population Blood Type O A B AB Probability 0 49 0 27 0 20 0 04 If a person is selected at random what is the probability that their blood type is B or AB P

Solve the given initial value problem y 5y 0 The solution is y t y 0 10 y 0 45

3 The volume V of a sphere with a radius of r is given by V nr Show your work to find the radius to the nearest hundredth of a sphere with a volume of 8000 cubic units

Find the exact value without a calculator tan 15 sin 15 cos 15 30 2 30 sin COS 2 21 1 Enter

x Solve the equation 32 Use Desmos or a graphing calculator to confirm your solution X

Identify the key features of the graph of y 3x Select all that apply 10 8 50 2 10 8 6 4 2 2 4 6 Co 2 4 CO 8 10 This image cannot be easily described If you need an explanation of this image please ask your teache help O The function has an x intercept of 0 1 and no y intercepts O The value of the function increases throughout its domain The value of the function decreases throughout its domain O As x approaches positive infinity y approaches negative infinity As x approaches negative infinity y approaches 0 which means that the function has an asymptote of y 0 The function has a y intercept of 0 1 and no x intercepts

Select the equation that could represent the function shown below x x 5 x 1 a 3 x O f x 0 0 O f x 3 2x 1 x 2 x 2 x 10 2x 1 3x 10 f x z x 2 2x 1 x 1 X

Write the expression as the sine or cosine of an angle sin 7y cos 3y cos 7y sin 3y y Hint sin A B sin A cos B cos A sin B cos A B cos A cos B sin A sin B Enter

Solve log 5x 4 3 O 11 809 11 5 O 199 2

Select the logarithmic equation after a vertical compression by a factor of 13 and a reflection over the y axis Oh x log x f x log x O g x log x Oj x log x