Please help me on this

Answers

Answer 1

Answer: $y+x=8\n y=8-x\n\n (12)/(x)=8-x\qquad x\not=0\n 12=8x-x^2\n x^2-8x+12=0\n x^2-8x+16-4=0\n (x-4)^2=4\n x-4=2 \vee x-4=-2\n x=6 \vee x=2\n\n y=8-6 \vee y=8-2\n y=2 \vee y=6\n \boxed{(x,y)=\{(2,6),(6,2)\}}$

$\displaystyle S_P=\int\limits_2^68-x-(12)/(x)\, dx\n S_P=\left[8x-(x^2)/(2)-12\ln x\right]_2^6\n S_P=8\cdot6-(6^2)/(2)-12\ln 6-(8\cdot2-(2^2)/(2)-12\ln 2)\n S_P=48-18-12\ln 6-16+2+12\ln2\n S_P=16-12\ln 6+12\ln 2\n S_P=16-12(\ln 6-\ln 2)\n\boxed{S_P=16-12\ln 3}$

$\displaystyle S_Q=\int\limits_2^6(12)/(x)\, dx\n S_Q=\left[12\ln x\right]_2^6\n S_Q=12\ln 6-12\ln 2\n S_Q=12(\ln6-\ln 2)\n \boxed{S_Q=12\ln 3}$

$\displaystyle V=\pi \int \limits_a^b f^2(x)\, dx\n\n V=\pi \int \limits_2^6 \left((12)/(x)\right)^2\, dx\n V=\pi \int \limits_2^6 (144)/(x^2)\, dx\n V=\pi\left[-(144)/(x)\right]_2^6\n V=\pi \cdot \left(-(144)/(6)-\left(-(144)/(2)\right)\right)\n V=\pi \cdot (-24+72)\n V=\pi \cdot48\n \boxed{V=48\pi}$

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What is the soultion to the system of equation graphed below ?

Which statement is true about the following system of equations?
3x-1/2y=1
x+2y=7

Answers

Many many true statements could be offered regarding those two equations.
Sadly, until you share the list of choices you're looking at, there's no way for
anyone to help you choose the best one.

$\begin{cases} 3x- (1)/(2)y=1 \ \ / \cdot 4\n x+2y=7 \end{cases}\n\n\begin{cases} 12x- 2y=4 \n x+2y=7 \end{cases}\n+ -------\n13x = 11\ \ / :13\n\nx=(11)/(13)$

$x+2y=7 \n \n (11)/(13)+2y=7\n \n2y=7-(11)/(13) \n \n2y=(91)/(13)-(11)/(13)\n \n2y =(80)/(13)\ \ / \cdot ((1)/(2))\n \ny=(40)/(13) \n\n\begin{cases} x=(11)/(13)\n y= (40)/(13) \end{cases}$

a car dealership lowered all of its car prices by 15% given the information what was the original price of a car now priced at 9500 pounds please give a broader explanation

Answers

Hi,

The answer would be 10,925 pounds

I hope this helps!

Express X^2-8x+5 in the for (x-a)^2-b where a and b are integers

Answers

Answer:

$x {}^(2) - 8x + 5 \n = x {}^(2) - 8 x+ 5 + 11 - 11 \n = x {}^(2) - 8x +16 - 11 \n = (x - 4) {}^(2) - 11 \n$

A is 4 and b is 11

write the slope intercept equation for the line that passes through (-8,11) and is perpendicular t 2x -7y=14

Answers

$General\ formula:\ny=ax+b\n\n2x-7y=14\n-7y=14-2x\ny=(2)/(7)x-2\n\nLine\ is\ perpendicular when\ a=-(7)/(2)\ny=-(7)/(2)x+b\n\nPasses\ through\ (-8,11):\n11=(-(7)/(2))*(-8)}+b\n11-28=b\nb=-17\n\ny=(7)/(2)-17$

The question says evaluate 2a-b/b when a=4 and b=-3.
How would I start this problem?

Answers

You would start by writing down the expression that you have to evaluate:

2a - b/b

Then, get to work:
-- Wherever you see 'a', put in 4 .
-- Wherever you see 'b', put in -3 .

2(4) - (-3/-3)

Can you handle that ?

Hint:
The thing on the right is a fraction with the same number on top and bottom.
Any fraction like that is always equal to ' 1 '.

$(2a-b)/(b)\n\nsubstitute\ a=4;\ b=-3:\n\n(2\cdot4-(-3))/(-3)=(8+3)/(-3)=-(11)/(3)=-3(2)/(3)$

$or\ if\ 2a+(b)/(b)=2a+1\ then\ for\ a=4\ and\ b=-3:\n\n2\cdot4-3=8-3=5$

Find the vertex of the parabola by completing the square x^2-6x+8=y?

Answers

-b/2a
6/2
x=3
3^2-18+8
y=-1

(3,-1)

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A small toy car costs $3.A large toy car costs 5 times as much as the small one.Aaron wants to buy one of each.Which equation can he use to find the cost (a) of the two cars?

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