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4 years ago

8

What is x^2-28-3x ? ( x^2 means x squares )

2 answers:

Verizon [17]4 years ago

3 0

This is the way to solve the problem

Leokris [45]4 years ago

3 0

Assignment: $\bold{Solve \ Equation: \ x^2-28-3x}$

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Answer: $\boxed{\bold{\left(x+4\right)\left(x-7\right)}}$

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Explanation: $\downarrow\downarrow\downarrow$

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[ Step One ] Write Equation In Standard Form: $\bold{ax^2+bx+c}$

$\bold{x^2-3x-28}$

[ Step Two ] Break Expression Into Groups

$\bold{\left(x^2+4x\right)+\left(-7x-28\right)}$

[ Step Three ] Factor

Factor Out $\bold{x}$ From $\bold{x^2+4x: \ x\left(x+4\right)}$

Factor Out $\bold{-7}$ From $\bold{-7x-28: \ -7\left(x+4\right)}$

[ Step Four ] Rewrite Equation

$\bold{x\left(x+4\right)-7\left(x+4\right)}$

[ Step Five ] Factor Out Common Term $\bold{x+4}$

$\bold{\left(x+4\right)\left(x-7\right)}$

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$\bold{\rightarrow Mordancy \leftarrow}$

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3 years ago

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3 years ago

Which equations represent exponential growth? Which equations represent exponential decay? Drag the choices into the boxes to co

Norma-Jean [14]

Answer:

Exponential growth functions are:

$A=20000(1.08)^{t}$

$A=40(3)^{t}$

$A=1700(1.07)^{t}$

Exponential decay functions are:

$A=80(\frac{1}{2})^{t}=80(0.5)^{t}$

$A=1600(0.8)^{t}$

$A=1700(0.93)^{t}$

Step-by-step explanation:

Given:

An exponential function is of the form $y=ab^{x}$ , where, $a\ne 0$ .

Now, if a > 0 and b > 1, then the exponential function represent exponential growth.

If a > 0 and 0 < b < 1, then the exponential function represent exponential decay.

Let us check each function now.

Option 1: $A=20000(1.08)^{t}$

Here, $a = 20000, b = 1.08$

As 1.08 > 1, the function is exponential growth.

Option 2: $A=80(\frac{1}{2})^{t}=80(0.5)^{t}$

Here, $a = 80, b = 0.50$

As 0.5 < 1, the function is exponential decay.

Option 3: $A=1600(0.8)^{t}$

Here, $a = 1600, b = 0.8$

As 0.8 < 1, the function is exponential decay.

Option 4: $A=40(3)^{t}$

Here, $a = 40, b = 3$

As 3 > 1, the function is exponential growth.

Option 5: $A=1700(1.07)^{t}$

Here, $a = 1700, b = 1.07$

As 1.07 > 1, the function is exponential growth.

Option 6: $A=1700(0.93)^{t}$

Here, $a = 1700, b = 0.93$

As 0.93 < 1, the function is exponential decay.

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3 years ago