Answer:
x=-1 or x=4
Step-by-step explanation:
First divide by 4 to get rid of the factor 4 at x², then you have:
x² - 3x - 4 = 0
to factor that, look for two numbers that when added, give -3, and when multiplied, give -4. This is guesswork but usually doable:
-4 + 1 = -3
-4 * 1 = -4
so -4 and +1 are our numbers.
The factorization is therefore: (x - 4)(x + 1) = 0, and the solutions are
x-4 = 0 or x+1 = 0, so x=4 or x=-1
A zero of a function f is where f(x) is equal to zero. You can see that the y-coordinate is zero in two places: for x = -1 and for x =1.
The multiplicity of a root is the number of times it appears as a factor in the function. For example, in
, -1 has a multiplicity of five, and 0 has a multiplicity of one. If the multiplicity is an even number, then the graph touches zero and then rebounds (it does not change sign). This is because raising a number to an even power maintains its sign. If the multiplicity is odd, then the graph touches zero and cross the x-axis, changing its sign.
Here, -1 has an odd multiplicity, and 1 has an even multiplicity.
This could be the equation of
.
9514 1404 393
Answer:
(b) 5 2/5
Step-by-step explanation:
You can figure this one by estimating. The denominator on the right is a little more than double the numerator. Then the denominator on the left (x) will be a little more than double the numerator. Double is 2(2 1/4) = 4 1/2.
The closest reasonable value is 5 2/5.
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If you want to work this out in detail, you will see that ...
x = (2 1/4(3 3/5)/(1 1/2)
x = (9/4)(18/5)(2/3) = (9·18·2)/(4·5·3) = 3·18/10 = 5.4 = 5 2/5
Answer:
0.5
Step-by-step explanation:
sjsbdir rievrjrvrjrbrhdbdjdbekebejebsjsbsirvrirvrjrrhirvrjrbrjr dry it said it had to be 20 characters long