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3 years ago

Equations 6) 2x + 3y = -1 3x + 4y = -4

Mathematics

1 answer:

77julia77 [94]3 years ago

6 0

Answer:

x = -8

y = 5

Step-by-step explanation:

2x = -3y-1

x = (-3y-1)/2

3x + 4y = -4

3[(-3y-1)/2]+4y = -4

(-9y-3/2)+4y = -4 (x2 all)

-9y-3+8y = -8

-9y+8y = -8+3

-y = -5

y = 5

3x+4.5 = -4

3x+20 = -4

3x = -24

x = -8

checking:

2.(-8)+3.5 = -1

-16+15 = -1 (checked)

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rusak2 [61]

Answer:

a =2.2

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2

where a and b are the legs and c is the hypotenuse

a^2+2^2 = 3^2

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a^2 = 9-4

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3 years ago

natali 33 [55]

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3 years ago

Read 2 more answers

A regression equation that predicts the price of homes in thousands of dollars is t = 24.6 + 0.055x1 - 3.6x2, where x2 is a dumm

AveGali [126]

Answer:

a) On average, homes that are on busy streets are worth $3600 less than homes that are not on busy streets.

Step-by-step explanation:

For the same home (x1 is the same), x2 = 1 if it is on a busy street and x2 = 0 if it is not on a busy street. If x2 = 1, the value of 't' decreases by 3.6 when compared to the value of 't' for x2=0. Since 't' is given in thousands of dollars, when a home is on a busy street, its value decreases by 3.6 thousand dollars.

$t(x1, 0)= 24.6 + 0.055x1\\t(x1, 1) = 24.6 + 0.055x1 - 3.6\\t(x1, 1) = t(x1, 0) - 3.6$

Therefore, the answer is a) On average, homes that are on busy streets are worth $3600 less than homes that are not on busy streets.

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3 years ago

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svet-max [94.6K]

Answer:

x = 5

Step-by-step explanation:

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FACTS TO KNOW BEFORE SOLVING :-

$a^x \times a^y = a^{x+y}$

In an equation , if the bases are same in both L.H.S. & R.H.S. then , the power of the bases on both the sides of equation should be equal. For e.g. : $a^x = a^y$ ⇒ $x = y$ [∵ Bases are equal on both the sides]