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4 years ago

For all functions of the form f(x)=ax^2+bx+c which is true when b=0

1 answer:

8 0

I believe if b were to equal the value of 0, there would be 2 solutions to the function. Or not mainly if the resulting expression turns out to be a difference of squares.

Eg. f(x) = 2x^2 + 0x + 2

2x^2 + 2

2(x^2 + 1)

Here there would not be x intercepts, mainly because x cannot be solved.

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Using synthetic division, what is the quotient (3x3 + 4x − 32) ÷ (x − 2)?

Wewaii [24]

The question is set up in the following way:

2] 3 0 4 -32

_____________

Here the 2 is from when x-2 is set equal to zero and then solved for x, the rest is from the the number being divided with zero taking the place of the x^2.

Then the following happens:

2] 3 0 4 -32
6 12 32
______________
3 6 16 0

Here the following happens:
1. We drop down the first coefficient, which is 3
2. We take this coefficient and multiply it by the two in the corner and get 6.
3. We place this six under the second coefficient (0) and add them together and get 6.
4. We take this 6 and multiply it by the two in the corner and get 12.
5. We take this 12 and put it under the third coefficient (4), add them together and get 16.
6. We take the 16 and multiply it by the two in the corner and get 32.
7. We take the 32 and place in under the forth coefficient and get zero.

This gives us the coefficients of the final answer in the order 3, 6 and 16 with no remaninders which gives us 3x^2+6x+16.

5 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP!!! WILL MARK BRAINLIEST!!!!

xxMikexx [17]

Answer:

gfhbvofdjge;rldskgrdfpokcver[;kyhbfd[pgktyhtjkvcblerdfhbvpofjewyrh;fblcvjgiohtrfjcfrthgbjvcikafrghfbcvlkftgjrhfbcvlkxasfjghbbgvdcxkjvnerdsklxcnfesjkdfb vnfawjegb nvmbfc xklcfngdcklfgnrtvdfxksjhwedsxcligbvoiesadfbdfiosgbhjffffff

Step-by-step explanation:

5 0

3 years ago

A guy wire makes a 67° angle with the ground. Walking out 32 feet further from the tower, the angle of elevation to the top of t

kirill [66]

Answer:

20.9 feet

Step-by-step explanation:

The figure attached below can be formed through the information given.

Step 1: Find angle y

All angles of a triangle are equal to 180°

67 + 39 + y = 180

y = 74°

Step 2: Use sin formula to find H

a/sin a = b/sin b

32/sin 74 = b/sin 39

b = 20.9 feet.

The height of the tower is 20.9 feet.

4 0

3 years ago

Please help thanks gryrrjfjti

lara [203]

9514 1404 393

Answer:

207.24 in²

Step-by-step explanation:

The "r" in the formula stands for the radius of the cylinder. That is half the diameter, so is 3 in. The "h" in the formula stands for the cylinder height, shown as 8 in. Put these values in the formula and do the arithmetic.

SA = 2πr(r +h) = 2(3.14)(3 in)(3 in + 8 in) = 6.28(33 in²)

SA = 207.24 in²

5 0

3 years ago

Is (1, 2) a solution to this system of equations? 10x + 4y = 18 x + 9y = 19

Arlecino [84]

Answer:

Yes

Step-by-step explanation:

The intersection point of 10x+4y=18 and x+9y=19 is (1,2) on a graph.

3 0

3 years ago