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9y ago

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How do you find out if a problem is linear or exponential?

You find out if a problem is linear or exponential by looking at the degree or the highest power; if the degree or the highest power is 1 or 0, the equation is linear. But if the degree is higher than 1 or lower than 0, the equation is exponential.


How do we differentiate between a quadratic equation and an exponential equation?

a quadratic equation must be in this form ax^2+bx+c=0 (can either be + or -) an exponential just means that the function grows at an exponential rate f(x)=x^2 or x^3


How can you tell from looking at an elation if the equation represents experiential growth or decay?

To determine if an equation represents exponential growth or decay, look at the base of the exponential function. If the base is greater than 1 (e.g., (y = a \cdot b^x) with (b > 1)), the function represents exponential growth. Conversely, if the base is between 0 and 1 (e.g., (y = a \cdot b^x) with (0 < b < 1)), the function indicates exponential decay. Additionally, the sign of the exponent can also provide insight into the behavior of the function.


In the quadratic equation ax2 plus bx plus c 0 if b2 - 4ac?

If you mean b^2 -4ac then it is the discriminant of a quadratic equation. If the discriminant equals 0 then the equation has 2 equal roots. If the discriminant is greater than 0 then the equation has 2 different roots. If the discriminant is less than 0 then it has no real roots.


How can you tell how many solutions a quadratic equation will have without solving it?

A quadratic equation can have a maximum of 2 solutions. If the discriminant (b2-4ac) turns out to be less than 0, the equation will have no real roots. If the Discriminant is equal to 0, it will have equal roots. But, if the discriminant turns out to be more than 0,then the equation will have unequal and real roots.


How is finding the solution to an inequality different from finding the solution of an equation?

Solving for an inequality requires an additional step. First you solve as if for an equation, then you need to find which numbers give greater than and less than. The easy way to do this is to put in 0 for the variable and see where the values go greater or less. Example: What is the inequality table for 5x=20? when x=4 the equation balances. if x=0 then the left side is less than 20, so all numbers from 4 towards 0 are going to give "less than" values, so all numbers less than 4. The table is {x|(-∞,4),4,(4,∞)}■


Is y equals 2 to the x power a linear equation?

If you mean y = 2^x, then no, it is not a linear equation. This is an exponential equation. The graph of this exponential equation would start out near zero on the left-hand side (there is a horizontal asymptote at y = 0) and would gradually increase as you move to the right: overall, it has a curved shaped. If you mean y = 2x, then yes, it is a linear equation.


S2-24s plus 196 equals 0?

This quadratic equation has no solutions because the discriminant is less than zero.


What is the answer to x2-9x plus 21 equals 0?

This quadratic equation has no solutions because its discriminant is less than zero.


How many real solutions are there for the equation x2 plus 3x plus 5 equals 0?

There are no real solutions because the discriminant of the quadratic equation is less than zero.


How do you find the sum of the roots of the equation x2 plus 5x plus 9 equals 0?

This quadratic equation has no real roots because its discriminant is less than zero.


Why do exponential functions not equal zero?

exponent of any number is more than 0