By concepts of polynomials and systems of linear equations, the constants c and d of the expression p(x) = x⁴ - 5 · x³ - 7 · x² + c · x + d are 29 and 30.
<h3>How to determine the missing coefficients of a quartic equation</h3>
A value x is a root of a polynomial if and only if p(x) = 0. We must replace the given equation with the given roots and solve the resulting system of <em>linear</em> equations:
(- 1)⁴ - 5 · (- 1)³ - 7 · (- 1)² + (- 1) · c + d = 0
- c + d = 1 (1)
3⁴ - 5 · 3³ - 7 · 3² + 3 · c + d = 0
3 · c + d = 117 (2)
The solution of this system is c = 29 and d = 30.
By concepts of polynomials and systems of linear equations, the constants c and d of the expression p(x) = x⁴ - 5 · x³ - 7 · x² + c · x + d are 29 and 30.
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Answer:
3*(5*x-7)-(15*x-21)=0
Step-by-step explanation:
3 • (5x - 7) - (15x - 21) = 0
Step 2 :
Equation at the end of step 2 :
0 = 0
Step 3 :
Equations which are always true :
Answer:
After 4 weeks they have $413
After 5 weeks they have $485 (more than enough money)
Step-by-step explanation:
we know that here are 3 people saving up this money and we know that they have already saved 125 dollars.
if each saves $24 per week... 24*3=72 (total profit per week)
for 4 weeks... 72*4=288
288+125(already saved up)= 413
If they go one more week and save up another 72 dollars in 1 week this will bring them past their goal
Answer:
2.25
Step-by-step explanation:
Just add it up, IDK if it's the full answer because you had 3 dots (...).
Answer:
( C ) 20 inch
Step-by-step explanation:
AB=28 inch ( given )
AP=26 inch ( given )
since that xy bisects and its perpendicular to AB and CD
then AX=48/2 = 24 inch
so by using Pythagoras theorem
then 26 squared - 24 squared = 10 inch
so XD+YD= 10 +10 =20 inch
