Answer: 12/13 or -12/13
Step-by-step explanation: x^2=144/169
Sqrt(x^2)=sqrt(144/169)
take the square root of the top and bottom
x=12/13 or -12/13
Step-by-step explanation:
let's look at the last line :
x³ + 8x - 3 = Ax³ +5Ax + Bx² + 5B + Cx + D
since we find A, B, C, and D by simply comparing the factors of the various terms in x (or constants) in both sides of the equation, we need to combine a few terms on the right hand side (so that we have one term per x exponent grade).
x³ + 8x - 3 = Ax³ + (5A + C)x + Bx² + (5B + D)
by comparing now both sides, to make both sides truly equal, the factors have to be equal.
A = 1 (the same as for x³ on the left hand side).
B = 0 (a we have no x² on the left side).
5A + C = 8 (a 8 is the factor of x in the left side).
5×1 + C = 8
5 + C = 8
C = 3
5B + D = -3 (as the constant term is -3 on the left side).
5×0 + D = -3
D = -3
so, the 4th answer option is correct.
Answer:
B.) 0.00692
Step-by-step explanation:
6.92 x 10^-3
0.00692
Answer:
Graph A: two distinct roots. Graph B: one repeated real root. Graph C: two complex roots. Graph D: two distinct real roots.
Step-by-step explanation:
Explanation:
Each graph represents a quadratic function. So by the fundamental theorem of algebra, we know that each graph will have two roots.
Graph A crosses the x-axis twice. So, graph A has two distinct real roots.
Graph B touches the x-axis once. A quadratic cannot have one real root and one complex root. So it must have one repeated real root.
Graph C doesn’t cross the x-axis. This means it must have two complex roots.
Graph D crosses the x-axis twice. So, graph D has two distinct real roots.
