Answer:
5
Step-by-step explanation:
-30÷(-6) is the same as 30÷6
30÷6=5
-4m = 17+7
-4m = 24
(leave m alone and positive)
-4m/ -4 = 24/-4
m= -6
Hope it helps!
#MissionExam001
Answer:
A: This polynomial has a degree of 2 , so the equation 12x2+5x−2=0 has two or fewer roots.
B: The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots.
Step-by-step explanation:
f(x) = 12x^2 + 5x - 2.
Since this is a quadratic equation, or a polynomial of second degree, one can easily conclude that this equation will have at most 2 roots. At most 2 roots mean that the function can have either 2 roots at maximum or less than 2 roots. Therefore, in the A category, 2nd option is the correct answer (This polynomial has a degree of 2 , so the equation 12x^2 + 5x − 2 = 0 has two or fewer roots).
To find the roots of f(x), set f(x) = 0. Therefore:
12x^2 + 5x - 2 = 0. Solving the question using the mid term breaking method shows that 12*2=24. The factors of 24 whose difference is 5 are 8 and 3. Therefore:
12x^2 + 8x - 3x - 2 = 0.
4x(3x + 2) -1(3x+2) = 0.
(4x-1)(3x+2) = 0.
4x-1 = 0 or 3x+2 = 0.
x = 1/4 or x = -2/3.
It can be seen that f(x) has two distinct real roots. Therefore, in the B category, 1st Option is the correct answer (The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots)!!!
Steps:
1. To do this problem, you have to divide the area by the length
2. To make this easier, turn both numbers into improper fractions
143/32 divided by 11/4
3. To divide you actually have to multiply by the reciprocal
143/32 times 4/11 equals 572/352
4. Turn 572/352 into a mixed number which is 1 220/352
5. Now you simplify it by dividing the numerator and denominator by 44
6. Your answer is.
1 5/8
Answer:
should be xy^4/4
Step-by-step explanation:
next to the last step (x^3(y^3)^4)^1/3