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3 years ago

Which graph is defined by the functions given below

Mathematics

1 answer:

mihalych1998 [28]3 years ago

6 0

Hello,

Answer A: y=x²-25

x-interscept must be 5 and 5 : a vertex in (5,0))

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Write yhr equation in standard form of the line with m=3/4 and b=6

ozzi

Answer:

y = 3/4 x + 6

Step-by-step explanation:

y = mx + b

y = 3/4 x + 6

3 0

3 years ago

Newton's law of cooling is:

Mnenie [13.5K]

Answer:

$t = \frac{ln(\frac{21}{59})}{-0.15}=6.887 hr$

So it would takes approximately 6.9 hours to reach 32 F.

Step-by-step explanation:

For this case we have the following differential equationÑ

$\frac{du}{dt}= -k (u-T)$

We can reorder the expression like this:

$\frac{du}{u-T} = -k dt$

We can use the substitution $w = u-T$ and $dw =du$ so then we have:

$\frac{dw}{w} =-k dt$

IF we integrate both sides we got:

$ln |w| = -kt +C$

If we apply exponential in both sides we got:

$w = e^{-kt} *e^c$

And if we replace w = u-T we got:

$u(t)= T + C_1 e^{-kt}$

We can also express the solution in the following terms:

$u(t) = (T_i -T_{amb}) e^{kt} +T_{amb}$

For this case we know that $k =-0.15 hr$ since w ehave a cooloing, $T_{i}= 70 F, T_{amb}=11F$ , we have this model:

$u(t) = (70-11) e^{-0.15t} +11$

And if we want that the temperature would be 32F we can solve for t like this:

$32 = 59 e^{-0.15 t} +11$

$21=59 e^{-0.15 t}$

$\frac{21}{59} = e^{-0.15 t}$

If we apply natural logs on both sides we got:

$ln (\frac{21}{59}) =-0.15 t$

$t = \frac{ln(\frac{21}{59})}{-0.15}=6.887 hr$

So it would takes approximately 6.9 hours to reach 32 F.

7 0

3 years ago

Given point B is located at

ELEN [110]

Answer: $\Large\boxed{Point~B'~=~(-4,~-2)}$

Step-by-step explanation:

Given information

Point B = (-2, -4)

Reflection line: y = x

Concept:

When reflecting over the line y = x, the position of y and x in the original coordinate switches places.

This is because it is " y = x ", assuming that they could interchange

Find the coordinate of Point B'

Original (x, y) = (-2, -4)

Point B' = (x', y') = (y, x) = $\Large\boxed{(-4,~-2)}$

Please refer to the attachment below for a graphical understanding

Hope this helps!! :)

Please let me know if you have any questions

4 0

1 year ago

Solve for x 4- (2x + 4) = 5

kaheart [24]

Answer:

x= -5/2

Step-by-step explanation:

4 - (2x+4)=5

4-2x-4=5

-2x=5

x=-5/2

4 0

2 years ago

A pretzel recipe calls for 3.325

Zepler [3.9K]

Answer: 0.35

Step-by-step explanation:

3.325 divided by 9.5 = 0.35

3 0

2 years ago