Answer:
Therefore, the solutions of the quadratic equations are:
The graph is also attached.
Step-by-step explanation:
The solution of the graph could be obtained by finding the x-intercept.
Finding the x-intercept by substituting the value y = 0
so
∵ y = 0
So, when y = 0, then x values are 3, and 5.
Therefore, the solutions of the quadratic equations are:
The graph is also attached. As the graph is a Parabola. It is visible from the graph that the values of y = 0 at x = 5 and x = 3. As the graph is a Parabola.
Answer:
Below.
Step-by-step explanation:
f) (a + b)^3 - 4(a + b)^2
The (a+ b)^2 can be taken out to give:
= (a + b)^2(a + b - 4)
= (a + b)(a + b)(a + b - 4).
g) 3x(x - y) - 6(-x + y)
= 3x( x - y) + 6(x - y)
= (3x + 6)(x - y)
= 3(x + 2)(x - y).
h) (6a - 5b)(c - d) + (3a + 4b)(d - c)
= (6a - 5b)(c - d) + (-3a - 4b)(c - d)
= -(c - d)(6a - 5b)(3a + 4b).
i) -3d(-9a - 2b) + 2c (9a + 2b)
= 3d(9a + 2b) + 2c (9a + 2b)
= 3d(9a + 2b) + 2c (9a + 2b).
= (3d + 2c)(9a + 2b).
j) a^2b^3(2a + 1) - 6ab^2(-1 - 2a)
= a^2b^3(2a + 1) + 6ab^2(2a + 1)
= (2a + 1)( a^2b^3 + 6ab^2)
The GCF of a^2b^3 and 6ab^2 is ab^2, so we have:
(2a + 1)ab^2(ab + 6)
= ab^2(ab + 6)(2a + 1).
The first fraction is 4 over 6, right? hopefully it is, i cant really see.
Basically, you can divide 4 and 6 by the same number, they have factors in common. They're both multiples of 2. if you divide them both by 2, you get 2 over 3, which is the <em>exact same amount as 4 over 6, it's just written in a simpler way. </em>the first answer is 2 over 3.
What numbers can both 10 and 15 be divided by? give it a try.
Area of a circle is found using the formula: Area = π * r^2
Using 3.14 for π
Area of the bull'e eye = π * 2^2 = 4π = 4 * 3.14 = 12.56 square inches.
This is 20% of the entire target.
To find the area of the entire target, divide the area of the bull's eye by the percentage:
Area = 12.56 / 0.20 = 62.8 square inches.
Round the answer as needed.
Answer:
5.4.
Step-by-step explanation:
If we divide 2 by 5 we get 0.4
So 5 and 2/5 = 5.4
