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12345 [234]
3 years ago
10

How many solutions does

xFormula1" title="y = 5x - 10 \\ y = 10 + x" alt="y = 5x - 10 \\ y = 10 + x" align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
meriva3 years ago
5 0
It has one solution that is an ordered pair. x= 5 and y= 15. The solution is (5,15).
Archy [21]3 years ago
4 0
I can tell you that you that x=5 and y=15
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State the number of real zeros and what they are for "3x^2+5x-2" pleas help me:'(
Lady bird [3.3K]
This can be solved by factoring.

First, set the expression equal to zero.

3x^2+5x-2=0

Then, find two the factors of  ac whose sum is b.

6, -1

Split b into these two factors.

3x^2+6x-x-2=0

Next, factor by grouping.

3x(x+2)-1(x+2) = (3x-1)(x+2) = 0

By the Zero Product Property, set each factor equal to zero.

3x-1 = 0 \\ x = 1/3

x+2=0 \\ x = -2

These are the solutions. The Complex Conjugate Root Theorem and the Fundamental Theorem of Algebra both state that, in essence, real and imaginary solutions come in pairs of two and every polynomial of degree n has exactly n complex roots, but real roots are also complex roots. That sounds confusing, but this just means that you're done. Your answers are -2 and 1/3. There are two real roots.
3 0
4 years ago
A beverage is made by mixing 1 part of water with 3 parts of fruit juice. How many parts of water are mixed with 1 part of fruit
forsale [732]

Answer:

1/3

Step-by-step explanation:

for every 1 part of water there is 3 parts juice so if there's only 1 part juice it would be a 1/3

5 0
3 years ago
Read 2 more answers
Solve the following system x=3 y=3x-1
astraxan [27]

Answer:

x = 3

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Step-by-step explanation:

Since it gives you x, you need to plug in the number given for it into the equation:

y = 3x - 1

y = 3(3) - 1

y = 9 - 1

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