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3 years ago

Rewrite the equation in graphing form. f(x)=x^2+6x+15

Mathematics

1 answer:

docker41 [41]3 years ago

3 0

we are given

$f(x)=x^2+6x+15$

we can complete square

$f(x)=x^2+6x+9+6$

$f(x)=x^2+6x+3^2+6$

$f(x)=(x+3)^2+6$

so, graphing form is

$f(x)=(x+3)^2+6$ ..............Answer

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Factor the polynomials of 25 x2-49x4

mezya [45]

Answer:

25x2-49x4= -146

Step-by-step explanation:

i just used calculator

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2 years ago

What is 16,473 to the nearest hundred

Verizon [17]

The number "4" is in the hundreds place. To the right is 7, and since it's greater than five it rounds up. So 16,473 to the nearest hundred is 16,500. Hope this helped!

4 0

3 years ago

I need to know the volume

lana66690 [7]

Answer:

105 mm^3

Step-by-step explanation:

The volume formula for a triangular prism is (height x base x length) / 2.

(5 x 6 x 7) / 2 = 105 mm cubed = 105 mm^3

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3 years ago

What are the X and Y intercepts of y= -2(x-4)2 +3

kari74 [83]

Answer: x-intercepts are ( 2.775,0) and (5.225,0)

And y-intercept is (0,-29)

Step-by-step explanation:

Here the given equation is,

$y = -2(x-4)^2+3$

For x-intercept, y = 0,

Put y = 0 in the above equation of parabola,

We get, $-2(x-4)^2 + 3 = 0$

$-2(x^2+16+8x) + 3 = 0$

$-2x^2-32-16x + 3 = 0$

$-2x^2-16x -29 = 0$

By solving this equation,

We get, x = 2.775 or x = 5.225

Therefore, x-intercept of the given parabola are (2.775, 0) and (5.225,0)

Now, for y-intercept, x = 0

By putting x = 0 in the given equation of parabola,

We get, y = -29

Thus, y-intercept of the given parabola = (0,-29)

4 0

3 years ago

What is the number of possible combinations of 14 objects taken 3 at a time?

maria [59]

Answer:

364.

Step-by-step explanation:

14C3 = 14! / 11! 3! which simplifies to:

14*13*12 /3*2*1

= 14*13* 2

= 364.

6 0

3 years ago