Answer:
a) The estimates for the solutions of 
are 
and 
.
b) The estimates for the solutions of 
are 
and 
Step-by-step explanation:
From image we get a graphical representation of the second-order polynomial 
, where 
is related to the horizontal axis of the Cartesian plane, whereas 
is related to the vertical axis of this plane. Now we proceed to estimate the solutions for each case:
a)
There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:
,
b)
There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:
,
Answer:
5.16
Step-by-step explanation:
Since after x=3, value of y starts decreasing for increasing values of x, let's choose. Also we need to find f(x) for x=3.4
x=3,4,5 and f(x)=7,3,1 to find lagrange polynomial
P(x)= ((x-x2)(x-x3)y1)/((x1-x2)(x1-x3) + ((x-x1)(x-x3)y2)/((x2-x1)(x2-x3) + ((x-x1)(x-x2)y3)/((x3-x1)(x3-x2)
P(x)= ((x-4)(x-5)7)/((3-4)(3-5)) + ((x-3)(x-5)3)/((4-3)(4-5)) + ((x-3)(x-4)1)/((5-3)(5-4))
P(x)= x² -11x+31
P(3.4)= 5.16
(4,1) because it is the ordered pair that passes through the line
Answer:
X = all #'s
why?
6x+10+10x < 4(4x+3)
Combined liked terms
16x + 10 < 16x +12
you can see that there is X on both sides and the lowest one has a +10 and the highest has a +12 so it will always be greater by 2
<h3>
Answer:</h3>
It would be 21b² -32b -5
<h3>
Step-by-step explanation:</h3>
By using the FOIL method, you can simplify the equation.
<em>The Foil Method is </em><u><em>ac + ad + bc +bd</em></u><em>, or </em><u><em>First, Outer, Inner, Last.</em></u>
First, you multiply the first term in each bracket.
3b * 7b = 21b²
Next, you multiply the outer term in each bracket.
3b * 1 = 3b
Then, you multiply the inner term in each bracket.
-5 * 7b = -35b
After that, you multiply the last term in each bracket.
-5 * 1 = -5
Lastly, you combine like terms.
21b² + 3b -35b -5 ---> 21b² -32b -5
<em>21b² -32b -5 would be your answer, since you cannot simplify the equation anymore.</em>
