The <u>root</u> of the <u>function</u> is such point 
for which 
The attached graph of the function 
shows, that the graph of the function intersects the x-axis in three points (2,0), (3,0) and (4.5,0).
This means that for
- x=2, f(2)=0;
- x=3, f(3)=0;
- x=4.5, f(4.5).
Thus, x=2, x=3 and x=4.5 are rational roots of the polynomial function f(x).
Answer: three rational roots.
Answer:
Step-by-step explanation:
Each triangle is a right triangle, and all are congruent. So ...
90 -m∠CAB = (1/2)m∠CDA
90 -(4x +33) = (1/2)(12x +34)
57 -4x = 6x +17 . . . . . . . eliminate parentheses
40 = 10x . . . . . . . . . . . . .add 4x-17
4 = x
We also have ...
2m∠CAD = m∠BCD
2(3z +28) = 10z +28
6z +56 = 10z +28 . . . . . eliminate parentheses
28 = 4z . . . . . . . . . . . . . .subtract 6z+28
7 = z . . . . . . . . . . . . . . . . divide by 4
Since BC = CD ...
x = y = 4
The values of the three variables are ...
x = 4, y = 4, z = 7.
Answer:
68% increase and 91% increase
Step-by-step explanation:
220(1+x)=370 -- 220(1+rate increase)=370
1+x=1.68
x=.68
220(1+x)=420 (370+50)=420
1+x=1.909
x=.91
Answer:
-x^3+2x^2+4x-8
Step-by-step explanation:
(2-x)(x^2-4)
2x^2-8-x^3+4x
-x^3+2x^2+4x-8
Answer:
Question 22
x intercept is 7
y intercept is 4
The answer is C
Question 24
x intercept is -4
y intercept is 7
The answer is B
Step-by-step explanation:
x and y intercepts are the points at which the graph meets x and y axes.
x and y intercepts can be found the following way,
y intercept - substitute 0 to x
x intercept - substitute 0 to y
Question 22
Substitute x=0 to find the y intercept
=
=
Substitute y=0 to find x intercept
=
=
=
Therefore,
x intercept is 7
y intercept is 4
The answer is C
<u>Question 24</u>
Substitute x=0 to find the y intercept
=
=
Substitute y=0 to find x intercept
=
=
=
Therefore,
x intercept is -4
y intercept is 7
The answer is B
