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3 years ago

Hich equation can pair with x + 2y = 5 to create an inconsistent system?

Mathematics

2 answers:

sladkih [1.3K]3 years ago

8 0

Answer: 2x+4y=5 on edge

Step-by-step explanation:

Solve for y for all equations and choose the one that would make parallel lines. Since a is the only one with the same slope and different y intercept, it's the only one that would make the lines parallel.

timofeeve [1]3 years ago

7 0

X+ 2y=5
X=5-2y

2x+4y=3
2(5-2y)+4y=3
10-4y+4y=3
10=3

5x+2y=3
5(5-2y) +2y=3
25-10y+2y=3
-8y=-22
Y=-22/-8

Y=2.75

6x+12y=30
6(5-2y)+12y=30
30-12y+12y=30
30=30

3x+4y=8
3(5-2y)+4y=8
15-6y+4y=8
-2y=8-15
-2y=-7
Y= -7/-2
Y= 3.5

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Olin [163]

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Hope this helped! :)

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3 years ago

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F(x)8x^2 find its inverse

olya-2409 [2.1K]

Answer:

$f^{-1}(x)=\frac{1}{2}\sqrt{\frac{x}{2}}$

Step-by-step explanation:

Given:

The function is given as;

$f(x)=8x^2$

In order to find the inverse, the steps to be followed are:

Step 1: Replace $f(x)$ by $y$ . This gives,

$y=8x^2$

Step 2: Switch 'y' by 'x' and 'x' by 'y'. This gives,

$x=8y^2$

Step 3: Solve for 'y'.

Dividing both sides by 8, we get:

$\frac{x}{8}=\frac{8y^2}{8}$

$\frac{x}{8}=y^2$ or

$y^2=\frac{x}{8}$

Taking square root on both sides, we get:

$\sqrt{y^2}=\sqrt{\frac{x}{8}}$

$y=\frac{1}{2}\sqrt{\frac{x}{2}}$

Now, we replace 'y' by $f^{-1}(x)$ .

Therefore, the inverse of the given function is:

$f^{-1}(x)=\frac{1}{2}\sqrt{\frac{x}{2}}$

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3 years ago

Evaluate the expression, if x = 4, y = 9, and z = 7. x(y + z - 32)

olga_2 [115]

x = 4 and y = 9 and z = 7

x(y + z - 32) = 4 · (9 + 7 - 32) =

= 4 · (16 - 32) = 4 · (-16) = -64

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azamat

Answer: C.

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3 years ago

What is the answer to x/-4 <16

Alexxx [7]

$\frac{x}{-4} < 16$

16 yı karşıya at;

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(-x-64)/4<0

-x-64<0

-64<x

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4 years ago

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