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Lyrx [107]
3 years ago
13

8ktar=r-2y solve for r

Mathematics
1 answer:
NARA [144]3 years ago
3 0

8ktar=r-2y\ \ \ |-r\\\\8ktar-r=-2y\\\\r(8kta-1)=-2y\ \ \ |:(8kta-1)\neq0\\\\r=\dfrac{-2y}{8kta-1}\to r=\dfrac{2y}{1-8kta}

Example from comment:

8k+ar=r-2y\ \ \ |-8k\\\\ar=r-2y-8k\ \ \ |-r\\\\ar-r=-2y-8k\\\\r(a-1)=-2y-8k\ \ \ |:(a-1)\neq0\\\\r=\dfrac{-2y-8k}{a-1}\to r=\dfrac{-(2y+8k)}{-(1-a)}\to r=\dfrac{2y+8k}{1-a}

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A pet store sells dog food in a 3-pound bag for $12.00 and a 5-pound bag for $14.25. Which bag of dog food is the better buy? Ex
Bess [88]

The 5-pound bag is better value.

The easiest way to compare and find out which is a better buy is to find out how much is being charged for 1-pound of food in each bag.

$12 is divided by 3 beacuse it's a 3-pound bag and we are aiming to find what 1-pound is equal to.

$12 ÷ 3 = $4

So the first bag charges $4 per pound of food.

Then use the same method for the 5-pound bag.

$14.25 ÷ 5 = $2.85

So the second charges $2.85 per pound of food.

So as we can see, the 5-pound bag is clearly better value. For each pound of food you are saving $1.15 in comparison to what you would be spending if you opted for the first bag.

Hope this helps!

5 0
3 years ago
In need of some help! Thank you in advance. 100 points <3
Anni [7]

Answer:

1

the equation (x-4)^2-17=8 has two solutions because <u>it is in a quadratic form.</u>

(x-4)^2-17=8

x²-8x+16-17-8=0

x²-8x-9=0

Doing middle term factorization

x²-9x+x-9=0

x(x-9)+1(x-9)=0

(x-9)(x+1)=0

either

<u>x=9</u>

<u>x=9or</u>

<u>x=9orx=-1</u>

2.

x^2+4x+3=0:

Doing middle term factorization

x²+3x+x+3=0

x(x+3)+1(x+3)=0

(x+3)(x+1)=0

either

x=-3

or

x=-1

<u>Josh’s solution is incorrect because he missed x=-3.</u>

<u>3</u><u>.</u>

x^2-6x+7=0

By <u>using</u><u> </u><u>quadratic</u><u> </u><u>equation</u><u> </u><u>f</u><u>o</u><u>r</u><u>m</u><u>u</u><u>l</u><u>a</u><u>:</u>

Comparing above equation with ax²+bx+c=0

we get

a=1

b=-6

c=7

Now

we have

x=\frac{ - b ±  \sqrt{ {b}^{2}  - 4ac} }{2a}

x=\frac{ 6±  \sqrt{ {-6}^{2}  - 4*1*7} }{2}

x=\frac{ 6±2\sqrt{ 2}}{2}

x={ 3±\sqrt{ 2}}

Taking positive

<u>x</u>={ 3+\sqrt{ 2}}

taking negative

<u>x</u>={ 3-\sqrt{ 2}}

4 0
3 years ago
How do i solve 3x-5y=9;x=-1,0,1
REY [17]
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7 0
3 years ago
Whats number 7?? im so confused!!
I am Lyosha [343]
Maybe D? I'm not exactly sure, I'm sorry
7 0
3 years ago
What is three fourths divided by eight thirdteenths?
xz_007 [3.2K]
\frac{3}{4} , \frac{8}{13} is \frac{39}{32}

\frac{3}{4}  *  \frac{13}{8} = ? , multiple by the reciprocal of the second fraction to get the answer.
3 0
3 years ago
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