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3 years ago

Write the following question expression in simplest binomial form 4(3x-2)-2(4x+5)

Mathematics

1 answer:

Oduvanchick [21]3 years ago

4 0

$4(3x-2)-2(4x+5)$

$12x-8-8x-10
$

$(12x-8x)+(-8-10)
$

$4x-18
$

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Without plotting the point (2, 0), tell in which quadrant or on

nekit [7.7K]

Answer:

A. x-axis and C. Quadrant 1

Step-by-step explanation:

(2,0) 2 is the x and 0 is the y. so if there is no y to go up then it's on the x-axis.

It's in Quadrant 1 cause it has no negatives.

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4 years ago

There is a surplus of office space in a city if 400,000 sq ft or 16% of the total office space vacant how much office space dis

solniwko [45]

16% of the total office space is 400,000
0.16x = 400,000
x = 400,000 / 0.16
x = 2,500,000 sq ft <== total office space

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3 years ago

Which expression correctly represents “six more than the quotient of three and a number, decreased by eight”?

Hatshy [7]

6 + 3/x - 8

( six more = 6 +)
(The quotient of three and a number = 3/x)
(Decreases by eight = -8)

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3 years ago

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Help with number 6 please. thank you.

Gwar [14]

Answer:

See Below.

Step-by-step explanation:

We are given that:

$\displaystyle \frac{dT}{dt} = -k(T - T_0)$

And we want to show that:

$\displaystyle T = T_0+Ae^{-kt}$

From the original equation, divide both sides by (T - T₀) and multiply both sides by dt. Hence:

$\displaystyle \frac{dT}{T-T_0}= -k\, dt$

Take the integral of both sides:

$\displaystyle \int \frac{dT}{T- T_0} = \int -k \, dt$

Integrate. For the left integral, we can use u-substitution. Note that T₀ is simply a constant. Hence:

$\displaystyle \ln\left|T - T_0\right| = -kt+C$

Raise both sides to e:

$\displaystyle e^{\ln\left|T-T_0\right|} = e^{-kt+C}$

Simplify:

$\displaystyle \begin{aligned} \left| T- T_0\right| &= e^{-kt} \cdot e^C \\ \\ &= e^C\left(e^{-kt}\right) \\ \\ &=Ae^{-kt} & \text{Let $e^C = A$}\end{aligned}$

Since the temperature T will always be greater than or equal to the surrounding medium T₀, we can remove the absolute value. Hence:

$\left(T - T_0\right) = Ae^{-kt}$

Therefore:

$\displaystyle T = T_0+Ae^{-kt}$

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3 years ago

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4x +5 Write a simplified equivalent expression for the sum of their ages.

beks73 [17]

Step-by-step explanation:

y=4x+5+x

y=5x+5

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4 years ago

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