Answer:
see explanation
Step-by-step explanation:
(a)
Given
x² + 5x + 6
Consider the factors of the constant term ( + 6) which sum to give the coefficient of the x- term ( + 5)
The factors are 3 and 2, since
3 × 2 = 6 and 3 + 2 = 5, hence
x² + 5x + 6 = (x + 3)(x + 2) ← in factored form
(b)
To solve
x² + 5x + 6 = 0 ← use the factored form, that is
(x + 3)(x + 2) = 0
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x + 2 = 0 ⇒ x = - 2
8x - 6 - 12x^2 + 9x
2(4x-3)-3x(3x-3)
=> (2-3x)(3x-3)
=> 3(x-1)(2-3x)
Answer:
Option D. 9
Step-by-step explanation:
There are two ways to obtain the answer to the question.
Method 1:
Let 2x + 1 = 0
Making x the subject, we have
2x + 1 = 0
Collect like terms
2x = –1
Divide both side by 2
x = –1/2
Now, put the value of x into the expression 4x³ – 6x² – 8x + 7, we have:
4x³ – 6x² – 8x + 7
x = –1/2
4(–1/2)³ – 6(–1/2)² – 8(–1/2) + 7
4(–1/8) – 6(1/4) – 8(–1/2) + 7
–1/2 – 3/2 + 4 +7
– 4/2 + 4 + 7
– 2 + 4 + 7
= 9
Method 2:
Divide 4x³ – 6x² – 8x + 7 by 2x + 1
Please see attached photo for explanation.
Answer: 139.27
Step-by-step explanation:
So let find the area of the black swuare the length is 10 and the widith is 10, using bxh the area is 100. Now let find the aea of the semi-circle. The area of a fill circle is pi radius squared so a semi circle area will be 1/2( pi radius squared). The radius is 5 so we can calculate 1/2 of 25 pi equal = 39.27. Now let add the areas: 100+39.27=139.27.
The cost for each serving of soup is $0.62
<u>Step-by-step explanation:</u>
Diameter =3.5 inches
Radius = 1.75 inches
Height = 5 inches
Each serving of soup = 15 cubic inches
Cost of the can = $1.99
Volume of the can = π(1.75 x 1.75) 5
= (3.14) (3.0625) 5
= 48.08 cubic inches
For 48 cubic inches of soup the cost is $1.99
For 15 cubic inches of soup the coat will be,
Cost = (15x1.99) /48
= $0.62
The cost for each serving of soup is $0.62
