Answer:
Answer: OPTION B
Step-by-step explanation
By definition, the parent function is the simplest form of a function. In this case, you have the quadratic parent function
As you can see in the graph, the function g(x) is the obtained by shifting the parent function f(x) two units to the right, which is represented with:
Therefore, the equation of the function g(x) is:
Answer: Kameryn will have typed more words than Joe after 34 minutes
Complete the square to rewrite the quadratic:
2 <em>x</em>² + 3 <em>x</em> + 5 = 2 (<em>x</em>² + 3/2 <em>x</em>) + 5
... = 2 (<em>x</em>² + 3/2 <em>x</em> + 9/16 - 9/16) + 5
... = 2 (<em>x</em>² + 3/2 <em>x</em> + (3/4)²) + 5 - 9/8
... = 2 (<em>x</em> + 3/4)² + 31/8
Any real number squared becomes non-negative, so the quadratic expression has a minimum value of 31/8, which is greater than 0, and so there are no (real) <em>x</em> for which <em>y</em> = 0.
Answer:
57°
Step-by-step explanation:
We can see that LOM is MON + LON so we can set up an equation to find the value of x then substitute that back into MON to find the value of that angle.
→ In equations its important to keep both sides equal and do operations to both sides and not one because then if you do an operation to only one side then you have changed the equation so it's important to do operations on both sides and that's an important rule to bare in mind.
2x + 33 + 3x + 20 = 113
→ Simplify
5x + 53 = 113
→ Minus 53 from both sides to isolate 5x
5x = 60
→ Divide both sides by 5 to isolate x
x = 12
But we are not finished, we have only found the value of x not the value of MON as we were asked so we have to substitute x back into the expression to find the value of MON
2x + 33
→ Substitute x = 12 back into the expression
2 × 12 + 33
→ Simplify
24 + 33 = 57
The value of MON is 57°
Answer:
3
Step-by-step explanation:
15/3=5
9/3=3
18/3=6
answer is 3 I believe.
