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3 years ago

Is every linear relationship a direct variation. Explain please

1 answer:

3 0

Direct variation: y=kx where k is some number thats not 0

that means if x is 2, y is 2k. if x is 1, y is k. if x is 0, y is 0.

notice: no matter what k is, when you put 0 in for x, y will always be 0. that means that a direct variation always goes through the origin, a.k.a. (0,0).

do all lines go through the origin? nah. a line is y=mx+b, where m and b are some numbers. a line is only a direct variation if b is 0. this makes sense because if b is 0, then the y-intercept is 0, so the line goes through the origin.

in conclusion, no, not all linear relationships are direct varations, but all direct variations are linear relationships.

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Solve the pair of simultaneous equations x = 4 - y x = y + 2

Lena [83]

(3,1)

x=3; y=1

Step-by-step explanation:

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2 years ago

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What are the real and imaginary parts of z ? z = 32 + 41.9i

goblinko [34]

Answer:

The real part is 32, while the imaginary part is 41.9

Step-by-step explanation:

z is a complex number. A complex number is made up of real and imaginary parts.

The real part is the number that stands alone, while the imaginary part is the number that is directly beside the i.

i is actually equal to $\sqrt{-1}$ . There is no solution for that.

Therefore, for the given expression, the real part is 32, while the imaginary part is 41.9.

Note: the imaginary part does not contain i.

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3 years ago

Find (fºg)(1) f(x) = x² - 1 g(x) = √x A.0 B.1 C.4 √2 D. √8

Savatey [412]

Given:

The function are

$f(x)=x^2-1$

$g(x)=\sqrt{x}$

To find:

The value of $(f\circ g)(1)$ .

Solution:

We have,

$f(x)=x^2-1$

$g(x)=\sqrt{x}$

We need to find the value of $(f\circ g)(1)$ .

$(f\circ g)(1)=f(g(1))$ $[\because (f\circ g)(x)=f(g(x))]$

$(f\circ g)(1)=f(\sqrt{1})$ $[\because g(x)=\sqrt{x}]$

$(f\circ g)(1)=f(1)$

$(f\circ g)(1)=(1)^2-1$ $[\because f(x)=x^2-1]$

$(f\circ g)(1)=1-1$

$(f\circ g)(1)=0$

The value of $(f\circ g)(1)$ is 0.

Therefore, the correct option is A.

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2 years ago

What’s is Sin(22)x240

gizmo_the_mogwai [7]

The answer would be 89.90558242
If u round it off, the answer will be 90

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3 years ago

Explain how showing fractions with models in a number line are alike and different.

zhenek [66]

Showing fractions with models is giving a visual and sometimes can be easier to process.They also can be in picture form or other.Ex. A piece of pizza cut into fourths.

Showing fractions on a number line is also giving a visual but still allows you to add and subtract using numbers if that makes sense.Ex.
. ----.-------.
1/3 2/3 3/3

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3 years ago

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