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ser-zykov [4K]
3 years ago
14

How to factorise 7x+14

Mathematics
1 answer:
gregori [183]3 years ago
8 0
<span>7x+14 = 7(x+2)
_____________</span>
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What is the range of the following function:<br> y = 2(5^x) - 1
Orlov [11]
<h2>Hello!</h2>

The answer is:

The range of the function is:

Range: y>2

or

Range: (2,∞+)

<h2>Why?</h2>

To calculate the range of the following function (exponential function) we need to perform the following steps:

First: Find the value of "x"

So, finding "x" we have:

y=2(5^{x}-1)\\\frac{y}{2}=5^{x}-1\\\\\frac{y}{2}-1=5^{x}\\\\Log_{5}(\frac{y}{2}-1)=Log_5(5^{x})\\\\x=Log_{5}(\frac{y}{2}-1)

Second: Interpret the restriction of the function:

Since we are working with logarithms, we know that the only restriction that we found is that the logarithmic functions exist only from 0 to the possitive infinite without considering the number 1.

So, we can see that if the variable "x" is a real number, "y" must be greater than 2 because if it's equal to 2 the expression inside the logarithm will tend to 0, and since the logarithm of 0 does not exist in the real numbers, the variable "x" would not be equal to a real number.

Hence, the range of the function is:

Range: y>2

or

Range: (2,∞+)

Note: I have attached a picture (the graph of the function) for better understanding.

Have a nice day!

5 0
3 years ago
A=12h(b1+b2) solve for b1 please.
Papessa [141]
A = 12h(B1 + B2)
A = 12h(B1) + 12h(B2)
A - 12h(B2) = 12h(B1)

B1 = \frac{A - 12h(B1)}{12h}
6 0
3 years ago
A solid oblique pyramid has a regular hexagonal base with an area of 54 cm2 and an edge length of 6 cm. Angle BAC measures 60°.W
sergij07 [2.7K]

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Correct on edge

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vesna_86 [32]

Answer:

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Step-by-step explanation:

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Ivenika [448]
Put the values of m and p to the expression:

\dfrac{1}{2}m+3p\\\\m=16;\ p=2\\\\\dfrac{1}{2}\cdot16+3\cdot2=8+6=14\to B)

4 0
3 years ago
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