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Question 985472: Let P(x)=x^3-6x^2+5x+12
a.determine whether x-4 is a factor of P(x).
b.find another factor of P(x).
c.find a complete factorization of P(x).
d.solve the equation P(x)=0.
Click here to see answer by josgarithmetic(39617)

Question 985478: 1.Find the value of k for ehich x^3-2x^2+4x+k has a remainder of -7 when divided by x-1.
2. Find k so that tge remainders is 0 when -x^3+4x^2+kx-2 is divided by x-1.
3. Write a polynomial equation with roots -4,-1, and 6.
4. Write a polynomial equation with roots -2,3, and 5
Click here to see answer by josgarithmetic(39617)

Question 985475: 1. Find k so that x+5 is a factor of x^3+5x^2-kx-20.
2. Find k so that x-7 is a factor of x^3-4x^2-kx-14.
3. Find k so that x+9 is a factor if x^3+kx^2+3x-54.
Click here to see answer by Edwin McCravy(20056)

Question 985474: Factors the polynomial P(x).then solve the equation P(x)=0.
1.P(x)=x^3+4x^2+x-6
2.P(x)=x^3-6x^2-x+6
3.P(x)=x^3-x^2-x+1
4.P(x)=2x^3-3x^2-3x+2
5.P(x)=x^4-x^3-19x^2+49x-30
Click here to see answer by Edwin McCravy(20056)

Question 985323: Explain the difference between using the remainder theorem and synthetic division in finding the remainder when P(x) is divided by x-r.
Click here to see answer by MathLover1(20850)

Question 985495: Two type of rice costing Rs 30 per kilogram and Rs 20 per kilogram are mixed in the ratio of 2:3.find the cost per kilogram of a mixture
Click here to see answer by ikleyn(52786)

Question 985473: Let P(x)=x^3-2x^2-13x-10
a.determine whether x-5 is a factor if P(x).
b.find another factor of P(x).
c.find a complete factorization of P(x).
d. Solve the equation P(x)=0.
Click here to see answer by ikleyn(52786)

Question 985326: Explain the difference between using the remainder theorem and synthetic division in finding the remainder when P(x) is divided by x-r.
Click here to see answer by Alan3354(69443)

Question 985331: Explain the difference between using the remainder theorem and synthetic division in finding the remainder when P(x) is divided by x-r.
Click here to see answer by Alan3354(69443)

Question 985324: Explain the difference between using the remainder theorem and synthetic division in finding the remainder when P(x) is divided by x-r.
Click here to see answer by Alan3354(69443)

Question 985332: 1.) Explain the difference between using the remainder theorem and synthetic division in finding the remainder when P(x) is divided by x-r.
Click here to see answer by Alan3354(69443)

Question 985572: A merchant blends tea that sells for $5.80 a pound with tea that sells for $2.00 a pound to produce 80 lb of a mixture that sells for $3.90 a pound. How many pounds of each type of tea does the merchant use in the blend?
Click here to see answer by josgarithmetic(39617)

Question 985624: Let P(x)=x^3-6x^2+5x+12
a. Determine whether x-4is a factor of P(x).
b. Find another factor of P(x).
c. Find a complete factorization of P(x).
d. Solve tge equation P(x)=0.
Click here to see answer by solver91311(24713)

Question 985626: Factor the polynomial P(x). Then solve the equation P(x)=0.
1.P(x)=x^3+4x^2+x-6
2.P(x)=x^3-6x^2-x+6
3.P(x)=x^3-x^2-x+1
4.P(x)=2x^3-3x^2-3x+2
Click here to see answer by ikleyn(52786)

Question 985631: Help pls:
Two adults and their four children go to the movies. Altogether the tickets cost $41. One child's ticket cost $4 less than one adults ticket. Form at least one equation and use it to find the cost of one child's ticket.

Click here to see answer by monikachanna@gmail.com(1)

Question 985639: Factor the polynomial P(x). Then solve the equation P(x)=0.
1.P(x)=x^3+4x^2+x-6
2.P(x)=x^3-6x^2-x+6
3.P(x)=x^3-x^2-x+1
4.P(x)=2x^3-3x^2-3x+2
Click here to see answer by ikleyn(52786)

Question 985625: Factor the polynomial P(x). Then solve the equation P(x)=0.
1.P(x)=x^3+4x^2+x-6
2.P(x)=x^3-6x^2-x+6
3.P(x)=x^3-x^2-x+1
4.P(x)=2x^3-3x^2-3x+2
Click here to see answer by ikleyn(52786)

Question 985663: The from wheel on a penny-farthing bicycle has a diameter of 63.66cm
1: what is the circumference in cm (to the nearest cm)
2:what is the circumference in kilometres
3:how many times would the wheel turn if the bicycle travels 1 kilometre
Click here to see answer by Alan3354(69443)

Question 985792: lisa has 5 skirts 6 blouses and 3 jackets how many three piece outfits can she put together assuming any piece can go with any other?
Click here to see answer by jim_thompson5910(35256)

Question 985850: help pls and explain it as well, thanks 😊
The Jones Family have a rectangular swimming pool. The pool is 5 metres longer than it is wide. There is a 2 metre wide strip of paving around the pool. The area of the paving is 54 square metres. Find the width of the swimming pool and give an equation that you use to solve the problem.
Click here to see answer by josgarithmetic(39617)

Question 985848: Help pls 😊
Triangular numbers are: 1,3,6,10....where the nth such number is n(n-1)/2. Show that the sum of two consecutive triangular numbers is a square number.
Click here to see answer by Alan3354(69443)

Question 985882: In a mixture of 10 quarts, of which 3 quarts are alcohol. I wish to so add enough water so that the resulting mixture shall contain 20% alcohol. How many quarts of water should be added?
Click here to see answer by macston(5194)

Question 985979: How much pure acid is in 640 milliliters of a 11% solution?
Click here to see answer by josgarithmetic(39617)

Question 986172: Jack and Pam meet in town for lunch. Jack orders 3 sandwiches and 2 cakes. This comes to $11.05. Pam orders 2 sandwiches and 1 cake. This costs $6.50.
If the price of a sandwich is s, and the price of a cake is c, solve these equations to find the values of s and c :
3s+2c=11.05. 2s+c=6.5
Click here to see answer by josgarithmetic(39617)

Question 986170: Jack is building a pyramid by leaning cards against each other. He starts with 2 cards. This is a "1-level" pyramid and it uses 2 cards.
By making the base wider, and putting a 'floor' between each level, he can make higher pyramids... A '2 level' pyramid uses 7 cards, a '3 level' pyramid uses 15 cards and so on.
Write an equation showing how many cards are needed (c) for an 'n-level' pyramid
Click here to see answer by jim_thompson5910(35256)

Question 986260: On Christmas day 2007 a tiger leapt from its enclosure at San Francisco Zoo. Official guidelines said a wall to contain tiger's should be 5 metres high. The zoo's wall was only 3.8 metres high but the tiger also had to jump a 10 metre moat. The tiger could run at the moat before leaping at the wall (curved path) . With a 5 metre run-up, tigers reach 14 metres per second at take-off. This formula calculates how fast an animal has to be moving to be able to leap over a moat AND a wall.
V=sqrt(9.8(h+sqrt(h^2+w^2))
where V=takeoff speed, h=height of wall w=width of moat.
i) Would the tiger have been able to leap over a wall 5 metres high if I was running at 14 metres per second? (You must support your answer with calculations using the formula).
ii) If it wasn't possible to make the wall higher than 3.8 metres, then you could make the moat wider. By rearranging the equation to make w the subject calculate how wide a moat is needed to contain a tiger running at 14 metres per second?
Click here to see answer by macston(5194)

Question 986258: A coin collection has 18 coins consisting of quarters and dimes. There are two more dimes than the number of quarters. If the face value of collection is $3.00, how many quarters are in the collection?
Click here to see answer by macston(5194)

Question 986344: mary wants to make 20 gal. of a 52% acid solution by mixing together a 84% acid solution and a 4% acid solution. how much of each must she use?

Click here to see answer by josgarithmetic(39617)

Question 986358: Yolanda has a gourmet coffee shop with two different types of coffee. Type A costs $5.95 per pound and Type B costs $7.00 per pound. A customer wishes to purchase a mixture of these, using two times more of Type A than Type B. If the total cost for the customer is $56.70, how many pounds of each did the customer buy?
Click here to see answer by josgarithmetic(39617)

Question 986440: an automobile engine can run on a mixture of gasoline and a substitute fuel. if gas costs $3.25 per gallon and the substitute fuel costs $2 per gallon, what percent of mixture must be substitute fuel to bring the cost down to $3.00 per gallon?
Click here to see answer by stanbon(75887)

Question 986675: I'm in culinary school and I would like to know how to solve my ap, ep and yield % equations.
Click here to see answer by solver91311(24713)

Question 986925: A 100% concentration is to be mixed with a mixture having a concentration of 42% to obtain 53 gallons of a mixture with a concentration of 71%. How much of the 100% concentrate will be needed?
Click here to see answer by macston(5194)

Question 986970: Can you please help me with this and thank you Janet prepares 11 gallons of orange juice and there will be 11 children and 4 adults who will share it equally
Click here to see answer by macston(5194)

Question 986955: How much water must be added to 20liters of a 50% antifreeze to reduce it to 40% antifreeze?
Click here to see answer by Alan3354(69443)

Question 987081: The distance around the world is approximately 40,000 km. Approximately how many people of average size would it take to stretch around the world if they were holding hands?
Click here to see answer by jim_thompson5910(35256)

Question 987140: A candy store two types of candy. Type A costs $6 per pound and Type B costs $10 per pound. Sarah wants to make a mixture of these weighing 10 pounds that costs $9 per pound. How many more pounds of Type B will she need in the mixture than Type A?
Click here to see answer by macston(5194)

Question 987186: Grunela went to the health food store and saw that oats cost 36 per ounce, raisins cost 43 cents per ounce, and almonds cost 45 cents per ounce. She bought enough of each to make a pound (16 ounces) of homemade granola. She noticed when she checked out that the total price of the ingredients meant her homemade granola would cost a reasonable 39 cents an ounce. How many ounces of oats, raisins, and almonds did Grunela buy?
Click here to see answer by josgarithmetic(39617)

Question 987141: There are tree triplets. Ed and Ned have $135 total combined, Ed and Ted have $153 total combined, and Ned and Ted have $122 combined. How much do all three have together? And how much do each individual have?
Click here to see answer by ankor@dixie-net.com(22740)

Question 987265: How many litres of a 10% alcohol solution should be mixed with 12 litres of a 20% alcohol solution to obtain a 14% alcohol solution?
Click here to see answer by josgarithmetic(39617)

Question 987293: A chemistry teacher needs to mix a 20% salt solution with a 90% salt solution to make 25 qt of a 48% salt solution. How many quarts of each solution should the teacher mix to get the desired result?
Click here to see answer by josgarithmetic(39617)

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