Answer:
21x^2 + 20x + 4 = (3x + 2)(7x + 2).
Step-by-step explanation:
Given the expression is 21x² +20x +4
We can solve the equation as follows:-
21x² +20x +4 = 0
Then a = 21, b = 20, c =4.
Using Quadratic formula, x = ( -b ± √(b² -4ac) )/2a
x = ( -20 ± √(400 - 4*21*4) )/2*21
x = ( -20 ± √(400 - 336) )/42
x = ( -20 ± √(64) )/42
x = ( -20 ± 8 )/42
x = -28/42 or x = -12/42
x = -2/3 or x = -2/7
(x + 2/3) = 0 or (x + 2/7) = 0
Now the factored form can be written as follows:-
(x + 2/3)(x + 2/7) = 0
(3x+2)(7x+2) = 0
Hence, the factored form is 21x^2 + 20x + 4 = (3x+2)(7x+2).
2.
1st = 50/360 = 14%.....0.14(1080) = 151
2nd = 60/360 = 17%...0.17(1080) = 184
3rd = 70/360 = 19%...0.19(1080) = 205
4th = 65/360 = 18%...0.18(1080) = 194
5th & 6th = 115/360 = 32%...0.32(1080) = 346
3.
big cat = 120/360 = 33%....0.33(540) = 178
monkey = 90/360 = 25%...0.25(540) = 135
elephant = 80/360 = 22%...0.22(540) = 119
other = 70/360 = 20%...0.20(540) = 108
Answer:
112 = 1 x 112, 2 x 56, 4 x 28, 7 x 16, or 8 x 14. Factors of 112: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Step-by-step explanation:
Answer:
740 feet
Step-by-step explanation:
The speed of the cheetah is 74 feet per second:
speed = distance ÷ time
= 296 ÷ 4 = 74 feet per second
In 10 seconds:
distance = speed × time
= 74 × 10
= 740 feet
Answer:
The answer is 144 grams of zinc
Step-by-step explanation:
proportion zinc to copper = 4/17
4/17 = z/ 612
multiply the extremes
17 . z = 4 . 612
17 . z = 2,448
z = 2,448 / 17
z = 144
The answer is 144 grams of zinc
Always check your answer
4/ 17 = 144/612 = 0.235
