Answer:
(See bolded numbers)
<u>Factoring</u><u> -1 out of negative numbers</u><u>:</u>
11) (-6) • (3)= (-1 • 6) • 3= -1 • 6 • 3= -18
-6 is the negative number here and factoring out -1 from -6 will give us -1(6). In the second last step, multiply 6 and 3 together then multiply the product by -1.
-1(6 ×3)= -1(18)= -18
12) (-4) • (-8)= (-1 • 4) • (-1 • 8)= 1 • 4 • 8= 32
Multiplying 2 negative numbers will give us a positive number. The 3rd step is 1 as (-1)(-1)= 1.
13) (-9) • (-5)= (-1 • 9) • (-1 • 5)= 1 • 9 • 5= 45
14) (2) • (-8)= 2 • (-1 • 8)= -1 • 2 • 8= -16
Negative numbers are numbers with a negative sign and are numbers less than zero. Factoring -1 out of negative numbers will leave us with the positive number.
3(2x - 1) > = 4(2x - 3) - 3
6x - 3 > = 8x - 12 - 3
6x - 3 > = 8x - 15
6x - 8x > = -15 + 3
-2x > = -12
x < = -12/-2
x < = 6
the incorrect one is : A number line with a closed circle on 6, shading to the right
Answer:
23/30
Step-by-step explanation:
Hope this helps :)
Discriminant = b^2 - 4ac, where a, b and c come from the form of the quadratic equation as ax^2 + bx + c
Discriminant = (4)^2 - 4(1)(5)
= 16 - 20
= -4
-4 < 0, therefor there are no roots
(If the discriminant = 0, then there is one root
If the discriminant > 0, there are two roots, and if it is a perfect square (eg. 4, 9, 16, etc.) then there are two rational roots
If the discriminant < 0, there are no roots)
