Find the value of x if B is between A and C, AB=4x-9, BC= 3x+ 5, and AC=7

1 answer:

4 0

AB = 4 x - 9
BC = 3 x + 5
AC = 7

B is in between A and C. <u>So AB + BC = AC</u>

4x - 9 + 3 x + 5 = 7
7 x - 4 = 7 take -4 from LHS to the R H S (right hand side) it becomes +4
7 x = 7 + 4 = 11
x = 11/7 = 1.571

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Step-by-step explanation:

3 0

3 years ago

Does each function describe exponential growth or decay?

Aleksandr [31]

<h3>Answer: Only first two are exponential growth function and last three functions are exponential decay functions.</h3>

Step-by-step explanation: We need to describe exponential growth or decay for the given functions.

The standard exponential function equation is

$y=a(b)^x$ .

Where a is the initial value and b is the growth factor.

Note: If value of b > 1, it would be an exponential growth and if b < 1, it would be an exponential decay.

Let us check them one by one.

$y=(1.008^{1/12}})^{12t}$ => $y=(1.008^})^{1/12\times{12t} }$

=> $y= (1.008)^t$ .

Value of b is 1.008 > 1, therefor it's an exponential growth function.

y=250(1+0.004)^t, also have b>1 therefor it's an exponential growth function.

All other functions has b values less than 1, therefore only first two are exponential growth function and last three functions are exponential decay functions.