Answer:
x = 3
Step-by-step explanation:
x + 3 = 4x - 6
add 6 to both sides
x + 9 = 4x
subtract x from both sides
9 = 3x
divide 3 from both sides
x = 3
Answer:

Step-by-step explanation:
We are given the following;
- Vertex of a quadratic function = (5,3)
- A point where the function passes through (-1, -9)
Required to determine the equation of the function;
- We need to know the vertex form of a quadratic function is;
, where h and k correspond to the vertex (h,k)
- Therefore, we can replace the variables h and k of the vertex in the equation;
That is;

Then we use the equation and the point given to solve for a
x = -1 and y = -9
We get;

Substituting the values of a, h and k in the equation, we get;

Thus, the equation of the function in the vertex form is 
Answer:
20x-12
Step-by-step explanation:
Given:
7(3x−1)−(x+5)
Step 1: Distribute the Negative Sign:
=7(3x−1)+−1(x+5)
=7(3x−1)+−1x+(−1)(5)
=7(3x−1)+−x+−5
Step 2: Distribute:
=(7)(3x)+(7)(−1)+−x+−5
=21x+−7+−x+−5
Step 3: Combine
=21x+−7+−x+−5
=(21x+−x)+(−7+−5)
=20x+−12
5.1% =5.1/100=0.051
Therefore Multiplying 0.051 x 90
This gives 4.59
Answer: A
Step-by-step explanation:
The sum of m and p --> (m + p)
(Because sum means addition)
Multiply 3 by --> × 3
--
Combined that would be either:
3 × (m + p)
or
(m + p) × 3 --> which is option A
Have a good day :)