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solniwko [45]
3 years ago
8

-3x+7=6x-2 What would the variable be?

Mathematics
1 answer:
Solnce55 [7]3 years ago
5 0
<span>-3x+7=6x-2
-3x+(-6x)=-7+(-2)
-9x=-9
x=1</span>
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X squared+ y squared = 2 y = 2x squared – 3 Which of the following describes the system?
cluponka [151]

Answer:

x=-1,1,-\sqrt{\frac{7}{4} },\sqrt{\frac{7}{4}} and y=-1,\frac{1}{2}

The ordered pair solutions are (-\sqrt{\frac{7}{4}},0.5), (\sqrt{\frac{7}{4}},0.5), (-1,-1), and (1,-1).

Step-by-step explanation:

I'm assuming the system is \left \{ {x^2+y^2=2} \atop {y=2x^2-3}} \right.:

x^2+y^2=2

x^2+(2x^2-3)^2=2

x^2+(4x^4-12x^2+9)=2

x^2+4x^4-12x^2+9=2

4x^4-11x^2+9=2

4x^4-11x^2+7=0

x^4-11x^2+28=0

(x^2-7)(x^2-4)=0

(4x^2-7)(x^2-1)=0

4x^2-7=0

4x^2=7

x^2=\frac{7}{4}

x=\pm\sqrt{\frac{7}{4}}

x^2-1=0

x^2=1

x=\pm1

y=2x^2-3

y=2(\pm\sqrt{\frac{7}{4}})^2-3

y=2({\frac{7}{4}})-3

y=\frac{7}{2}-3

y=\frac{1}{2}

y=2x^2-3

y=2(\pm1)^2-3

y=2(1)-3

y=2-3

y=-1

Therefore, x=-1,1,-\sqrt{\frac{7}{4} },\sqrt{\frac{7}{4}} and y=-1,\frac{1}{2}

The ordered pair solutions are (-\sqrt{\frac{7}{4}},0.5), (\sqrt{\frac{7}{4}},0.5), (-1,-1), and (1,-1).

4 0
2 years ago
What is the vertex and intercepts for y=(5x-2)(2x+3)
Sophie [7]

Answer:

vertex = (-\frac{11}{20} ,-\frac{361}{40} )

Intercepts for x = (\frac{2}{5} ,0), (-\frac{2}{5} ,0)

intercepts for y = (0,-6)

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3 years ago
How did your position affect the vital capacity of your lungs? Suggest an explanation for any difference you found .
finlep [7]

Answer:

sdf

Step-by-step explanation:

dsf

4 0
2 years ago
Find the two straight lines represented by x² + 5xy - 6y² = 0​
Andreyy89

By factorizing, we have

x^2 + 5xy - 6y^2 = (x - y) (x + 6y) = 0

so that

x - y = 0 \implies \boxed{y = x}

or

x + 6y = 0 \implies \boxed{y = -\dfrac x6}

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2 years ago
I need help please :’( Simplify -4x - x
timofeeve [1]

Answer:

-5x

Step-by-step explanation:

3 0
3 years ago
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