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3 years ago

Find the Vertex of 2x^2+8x+1 A. (-2,-7) B.(1,7) C.(-2,-1) D.(3,-4)

Mathematics

1 answer:

Nana76 [90]3 years ago

4 0

A.) (-2,-7) is the answer.

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For what value of k are the roots of the quadratic equation kx (x-2)+6=0 equal?

ser-zykov [4K]

Answer:

$\boxed{\sf k=6}$

Step-by-step explanation:

$\sf kx (x-2)+6=0$

Expand brackets.

$\sf kx^2 -2kx+6=0$

This is in quadratic form.

$\sf ax^2 +bx+c=0$

Since this is for equal roots:

$\sf b^2 -4ac=0$

$\sf a=k\\b=-2k\\c=6$

$\sf (-2k)^2 -4(k)(6)=0$

$\sf 4k^2-24k=0$

$\sf 4k(k-6)=0$

$\sf 4k=0\\k=0$

$\sf k-6=0\\k=6$

Plug k as 0 to check.

$\sf \sf 0x^2 -2(0)x+6=0\\6=0$

False.

So that means k must equal 6.

3 0

4 years ago

Please help :) I’m really in need of assistance and would appreciate it.

BaLLatris [955]

Answer:

$D) 0.5x^3y + 4x^2 y^2 - 2xy^3$

Step-by-step explanation:

Set up an equation to model the situation,

$(-0.5xy)(x^2 + 8xy - 4y^2)$

Distribute, multiply each term in the parenthesis with the term outside of the parenthesis. Don't forget the laws of exponents, when one multiplies two exponents, with the same base, then one adds the two exponents. A number with no exponential term is two the first degree meaning that it is to the power of one.

$-0.5x^3 y - 4x^2 y^2 + 2xy^3$

4 0

3 years ago

two years of local internet service cost $685 including the installation fee of $85 what is the monthly fee?

zimovet [89]

2 years is the same as 24 months, so the equation would be:
685 = 24x + 85, where x is the monthly fee.
600 = 24x
600/24 = x
x = 25
The monthly fee is $25.

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nataly862011 [7]

Answer:

i dont get it

Step-by-step explanation:

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