The answer should be -5x + 7y = -108
Answer:
1,-3,-5
Step-by-step explanation:
Given:
f(x)=x^3+7x^2+7x-15
Finding all the possible rational zeros of f(x)
p= ±1,±3,±5,±15 (factors of coefficient of last term)
q=±1(factors of coefficient of leading term)
p/q=±1,±3,±5,±15
Now finding the rational zeros using rational root theorem
f(p/q)
f(1)=1+7+7-15
=0
f(-1)= -1 +7-7-15
= -16
f(3)=27+7(9)+21-15
=96
f(-3)= (-3)^3+7(-3)^2+7(-3)-15
= 0
f(5)=5^3+7(5)^2+7(5)-15
=320
f(-5)=(-5)^3+7(-5)^2+7(-5)-15
=0
f(15)=(15)^3+7(15)^2+7(15)-15
=5040
f(-15)=(-15)^3+7(-15)^2+7(-15)-15
=-1920
Hence the rational roots are 1,-3,-5 !
Answer:
Only D,F, and G are perfect cubes.
Step-by-step explanation:
A) Technically not a perfect cube.
B) Not a perfect cube
C) Not a perfect cube
D) Yes. 3*3=9
E) Not a perfect cube
F) Yes. 8*8=64
G) Yes. 10*10=100
H) Not a perfect cube
Answer:
12 x 2+23 x −24=0. Enter an equation ... The first term is, 12x2 its coefficient is 12 . ... B ± √ B2-4AC x = ———————— 2A In our case, A = 12. B = 23. C = -24
Step-by-step explanation:
12 x 2+23 x −24=0. Enter an equation ... The first term is, 12x2 its coefficient is 12 . ... B ± √ B2-4AC x = ———————— 2A In our case, A = 12. B = 23. C = -24
Answer:
See below
Step-by-step explanation:
15)
In the right-angle triangle, once one of the angles is 44º, then, the unknown angle is 
.
The angle 
of the other triangle plus the angle of the right-angle triangle is equal to 90º, therefore they are complementary angles.
So,
To find ?, we have
16)
The sum of the internal angles of the triangle with angles 50º and 25º is equal to 180º, therefore, the other angle is
Once the angles are opposite, they are the same. For the triangle with the 36º angle, we have
