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3 years ago

4x+3=8x-9 what does x equal

Mathematics

1 answer:

blagie [28]3 years ago

6 0

Answer:

x=75/4

Step-by-step explanation:

4x+3=8x-9

4x+3= -72

4x= -72-3

4x= -75

x=75/4

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A certain population of mice is growing exponentially. After one month there are 48. After 2 months there are "192" mice. Write

REY [17]

Answer:

P(t) = 12e^1.3863k

Step-by-step explanation:

The general exponential equation is represented as;

P(t) = P0e^kt

P(t) is the population of the mice after t years

k is the constant

P0 is the initial population of the mice

t is the time in months

If after one month there are 48 population, then;

P(1) = P0e^k(1)

48 = P0e^k ...... 1

Also if after 2 months there are "192" mice, then;

192 = P0e^2k.... 2

Divide equation 2 by 1;

192/48 = P0e^2k/P0e^k

4 = e^2k-k

4 = e^k

Apply ln to both sides

ln4 = lne^k

k = ln4

k = 1.3863

Substitute e^k into equation 1 to get P0

From 1, 48 = P0e^k

48 = 4P0

P0 = 48/4

P0 = 12

Get the required equation by substituting k = 1.3863 and P0 = 12 into equation 1, we have;

P(t) = 12e^1.3863k

This gives the equation representing the scenario

8 0

3 years ago

WILL CHOOSE BRAINLIEST!!!

dsp73

Answer:

Step-by-step explanation:

Percentage without triazine resistance

Start 21,200%

End 9,900%

Percentage with triazine resistance

Start 28,800%

End 35,100%

7 0

3 years ago

Help me plsssssssssssss

Pani-rosa [81]

Answer:

do you still need help

Step-by-step explanation:

???

3 0

3 years ago

Which two of the following numbers round to 36.2 if were rounding to the nearest tenth

Rashid [163]

Answer:

36.0

Step-by-step explanation:

8 0

4 years ago

true or false:the points (6,13),(21,33),(99,137)all lie on the-same line. the equation of the line is y=4/3x +5

Anit [1.1K]

The answer is true.

Step-by-step explanation:

To find the points all lie on the same line, we need to substitute the points in the equation of the line, to determine if the values on both sides of the equation are equal.

Substituting the point $(6,13)$ in the equation of the line, we get,

$\begin{aligned}y &=\frac{4}{3} x+5 \\13 &=\frac{4}{3}(6)+5 \\&=4(2)+5 \\&=8+5 \\13 &=13\end{aligned}$

Thus, the values on both sides are equal. The point $(6,13)$ lie on the same line.

Substituting the point $(21,33)$ in the equation of the line, we get,

$\begin{aligned}y &=\frac{4}{3} x+5 \\33 &=\frac{4}{3}(21)+5 \\&=4(7)+5 \\&=28+5 \\33 &=33\end{aligned}$

Thus, the values on both sides are equal. The point $(21,33)$ lie on the same line.

Substituting the point $(99,137)$ in the equation of the line, we get,

$\begin{aligned}y &=\frac{4}{3} x+5 \\137 &=\frac{4}{3}(99)+5 \\&=4(33)+5 \\&=132+5 \\137 &=137\end{aligned}$

Thus, the values on both sides are equal. The point $(99,137)$ lie on the same line.

Thus, all the three points lie on the same plane.

Hence, the answer is true.

6 0

3 years ago