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AveGali [126]
3 years ago
14

How many solutions exist for the system below? In two or more complete sentences, give the solution and explain how you solved t

he system. y=-2x + 3 y = -2×3x​
Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
7 0

Answer:

See below

Step-by-step explanation:

y=-2x + 3

y = -2*3x​

Both equations are lines.

Two lines will intersect at one point

I will set the two equations equal and solve for the x coordinate.

-2x+3 = -6x

Add 2x from each side

3 = -4x

Divide by -4

-3/4 = x

Now find y

y = -6x

y = -6(-3/4)

y = 18/4 = 9/2

The solution is ( -3/4, 9/2)

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Suppose that 15 years ago, a benefactor set up an account for your education. This benefactor made a single deposit of $20,000 t
drek231 [11]

Answer:

No it wont

Step-by-step explanation:

7 0
3 years ago
A c ompany purchased 3,128 bottles of water.Each departments needs 55 bottles.Which compatible numbers provide a better estimate
charle [14.2K]

Answer:

3,000 divided 60 are the compatible numbers, and the estimate is 50.

Step-by-step explanation:

Compatible numbers can be described as numbers which are close in value to the actual numbers and can easily be added, subtracted, multiplied, or divided mentally.

From the question, 3,000 divided 60 are the compatible numbers that provide a better estimate for the number of departments that can get the bottles because 55 can be rounded up to 60.

The estimate will therefore be as follows:

Estimate = 3,000 / 60 = 50

8 0
3 years ago
Solve. X^2+20x+100=50
choli [55]
1. You con solve the quadratic equation x^2+20x+100=50<span> by following the proccedure below:
 
 2. Pass the number 50 from the right member to the left member. Then you obtain:
 
 x^2+20x+100-50=0
</span><span> x^2+20x+50=0
</span><span> 
 3. Then, you must apply the quadratic equation, which is:
 
 x=(-b±√(b^2-4ac))/2a
 
 </span><span>x^2+20x+50=0
</span><span> 
 a=1
 b=20
 c=50
 

  4. Therefore, when you simplify, the result is:
 
  -10</span><span>±5</span>√2   (It is the last option).<span>


 
 
 
 
 
 </span>
5 0
3 years ago
HEB has dish soap that costs $2.80 for a 12oz bottle. Fiesta has the same dish soap that costs $2.00 for a 8 oz tube.
s2008m [1.1K]

Answer:

The unit rate at HEB is $0.23 per ounce. The unit rate at Fiesta is $0.25 per ounce. So HEB has the better buy for dish soap.

Step-by-step explanation:

To calculate unit rate, you divide the price by the oz.

So for HEB, you should do $2.80/12 oz. This will equal to $0.23 per ounce. For Fiesta, you should do $2.00/8 oz. This will equal to $0.25 per ounce.

To determine which one is the better buy, the lower priced one is better, meaning HEB is the better buy.

4 0
3 years ago
Find the real or imaginary solutions of each equation by factoring
anyanavicka [17]
Sum of  2 perfect cubes
a³+b³=(a+b)(x²-xy+y²)
so

x³+4³=(x+4)(x²-4x+16)
set each to zero
x+4=0
x=-4

the other one can't be solveed using conventional means
use quadratic formula
for
ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^2-4ac} }{2a}
for x²-4x+16=0
x=\frac{-(-4)+/- \sqrt{(-4)^2-4(1)(16)} }{2(1)}
x=\frac{4+/- \sqrt{16-64} }{2}
x=\frac{4+/- \sqrt{-48} }{2}
x=\frac{4+/- (\sqrt{-1})(\sqrt{48}) }{2}
x=\frac{4+/- (i)(4\sqrt{3}) }{2}
x=2+/- 2i\sqrt{3}


the roots are
x=-4 and 2+2i√3 and 2-2i√3
8 0
3 years ago
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