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3 years ago

Express the answer in standard form.

Mathematics

1 answer:

adell [148]3 years ago

3 0

Just use photo math !!!!!!!

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The domain and f^1(x)

TEA [102]

To solve for the inverse, just swap the x and y and solve for the new y.

$y=\sqrt{x} -8$

$x=\sqrt{y}-8$

$x+8=\sqrt{y}$

$(x+8)^2=y$

Then inspect both functions for the domain.

In the original function, x has to be greater than or equal to 0 or else you would have a negative square root which is impossible.

The inverse function has no limitations as any x could make that true.

The main things that will limit domain is square root of negative or divide by zero.

Therefore, x>=0 is the only domain restriction.

8 0

3 years ago

(1 point) A particle starts at the point P=(−2,−1,3)P=(−2,−1,3) when t=0t=0 and moves along a straight line toward Q=(−4,0,6)Q=(

Ahat [919]

Answer:

The position is given by r(t) = (-2 -t √14, 1 + √3.5, 3 + 3√3.5)

Step-by-step explanation:

The direction is given by the difference between the starting point and the end point, thus it is (-4,0,6)-(-2,-1,3) = (-2,1,3). The norm of this vector is √( (-2)²+1²+3²) = √14 = 3.7416 secons

Since the speed is 7 cm/sec, we need to multiply this vector by 7/√14 = √3.5 in order to obtain how much does the particle advance each second.

As a consecuence, it advances (-2,1,3) * √3.5 = (- √14, √3.5, 3 √3.5)

And, as a result, the position after t seconds is given by the function

r(t) = (-2,1,3) + t (-√14, √3.5, 3 √3.5) = (-2 -t √14, 1 + √3.5, 3 + 3√3.5)

8 0

4 years ago

Mary Palm's checking account had a starting balance of $785.63. She wrote a check for $57.00 for groceries and a check for $125.

wariber [46]

785.63-(57+125)
=785.63-182
=603.63

603.63+57.25=$660.87

5 0

4 years ago

3/7 of the people living in the apartment building are men. 5/8 of the remaining are women. The rest are children. A total of 27

Vladimir [108]

People in building ---- x (men, women and children)
children --- y
men + women + children = x
(3/7)x + (5/8)(4/7)x + y = x
3x/7 + 5x/14 + y = x
times 14
6x + 5x + 14y = 14x
14y = 3x

y + 220 =x
sub into the other one
14y = 3(y+220)
11y = 660
y = 60
then 14(60) = 3x ---> x = 280

So we have 280 people in the building.

check: 3/7 of 280 are men = 120
leaving 160 women and children
5/8 of these ot 100 are women

so we have 120 men, 100 women and 60 children!

hope this is right! have a great. day

7 0

3 years ago

Help please due soon

AfilCa [17]

Answer:

Step-by-step explanation:

5 0

3 years ago

Express the answer in standard form.​

Express the answer in standard form.