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4 years ago

H(t)=4-t^2 find domain

Mathematics

1 answer:

fredd [130]4 years ago

3 0

$h(t)=4-t^2$

It's a quadratic function therefore the domain D = R (any real number).

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4x + 5 = 25 x = 2 x = 5 x = 2 x = 7

olchik [2.2K]

Hi there!

Answer:

$\huge\boxed{x = 5}$

4x + 5 = 25

Subtract 5 from both sides:

4x + 5 - 5 = 25 - 5

4x = 20

Divide both sides by 4:

4x/4 = 20/4

x = 5.

3 0

3 years ago

v={x,y,z} such that the points satisfies x-2y+3z=0. is v vector space? if not,find all for which v is not a victor space

atroni [7]

Yes, the set of vectors

V = {(x, y, z) : x - 2y + 3z = 0}

is indeed a vector space.

Let u = (x, y, z) and v = (r, s, t) be any two vectors in V. Then

x - 2y + 3z = 0

and

r - 2s + 3t = 0

Their vector sum is

u + v = (x + r, y + s, z + t)

We need to show that u + v also belongs to V - in other words, V is closed under summation. This is a matter of showing that the coordinates of u + v satisfy the condition on all vectors of V:

(x + r) - 2 (y + s) + 3 (s + t) = (x - 2y + 3z) + (r - 2s + 3t) = 0 + 0 = 0

Then V is indeed closed under summation.

Scaling any vector v by a constant c gives

cv = (cx, cy, cz)

We also need to show that cv belongs to V - that V is closed under scalar multiplication. We have

cx - 2cy + 3cz = c (x - 2y + 3z) = 0c = 0

so V is need closed under scalar multiplication.

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3 years ago

What type of transformation takes the graph of f(x)=|x| to the graph of g(x)=−3+|x|?

crimeas [40]

Answer:

vertical translation of 3 units down

Step-by-step explanation:

we have

$f\left(x\right)=\left|x\right|$ ----> the parent function

The vertex of f(x) is the point (0,0)

$g\left(x\right)=-3+\left|x\right|$ ----> the transformed function

The vertex of g(x) is the point (0,-3)

The rule of the translation is

f(x) -----> g(x)

(0,0) ----> (0,-3)

(x,y) ----> (x,y-3)

That means ---> The translation is 3 units down

see the attached figure to better understand the problem

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3 years ago

What adds to get -4 and multiplies to get 16

Anna35 [415]

Answer:

if your asking what do you have to add to negative 4 to get 16then you add 20 or if your asking what to add to get -4 I will need more info message me or comment

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3 years ago

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3 years ago

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