The curve y=ax³ +bx² -x+5 has a point of inflexion at (1,-2). find the values of a and b

Answers

Answer 1

Answer: $y=ax^3+bx^2-x+5\ny'=3ax^2+2bx-1\ny''=6ax+2b\n\n0=6a\cdot1+2b\n6a+2b=0\n3a+b=0\nb=-3a\n\n-2=a\cdot1^3-3a\cdot1^2-1+5\n-2=a-3a+4\n-2a=-6\na=3\n\nb=-3\cdot3\nb=-9$

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Chloe drew 7 hearts, 20 stars and 9 circles what's the ratio of circles to hearts

Answers

A ratio simply means that you have to divide the two numbers. So, if there are 9 cicles and 7 hearts, the circles-to-heart ratio is

$(9)/(7)$

Answer:

9 : 7

Step-by-step explanation:

A ratio means for every something, there is something. The somethings are numbers.

The answer is 9 : 7

Analyze the figure shown.*label all the coordinates
Part A: Determine the perimeter of the composite figure. Round to the nearest tenth, if
necessary
Part B: Determine the area of the composite figure. round to the nearest tenth if necessary

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Answer:

bye bye..................

Tom is twice as old as Mary, but he is 2 years younger than Jim. What is Mary's age if Jim will be twenty years old in 2 years time?

Answers

ok if JIM will be 20 in 2 years right now he is 18,and if TOM is twice as old as MARY but TOM is 2 years younger then JIM,JIM is 16,and so if TOM is 16 MARY is 8 years old

THE ANSWER IS 8 YEARS OLD-MARY IS 8

What is the value of the dependent variable if the value is 0? f(x)=-13x2+5x-2x+8

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$f(0)=-13\cdot0^2+5\cdot0-2\cdot0+8=8$

What is the distance between the points (-1, 4) and (3, 1)

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The distance between the points is 5

What is multiplication properties. Example a number line that goes from 0-27. Using numbers 6,7,8 and 9.

Answers

They are the commutative, associative, multiplicative identity and distributive properties.

Commutative property: For example 6 * 7 = 7 * 6;

Associative Property: For example (7 * 8) * 9 = 7 * (8 * 9);

Multiplicative Identity Property: For example 6 * 1 = 6 or, 1 * 6 = 6;

Distributive property: For example 6 * ( 7 + 8) = 6 * 7 + 6 * 8 or, ( 7 + 8) * 6 = 7 * 6 + 8 * 6.

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Dawn used a unit fraction to describe how much of her chores she has done. which fraction could dawn have used?

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I’m not good at geometry..