Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h. k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (- 6, - 1), thus
y = a(x + 6)² - 1
To find a substitute one of the roots into the equation
Using (- 3, 0), then
0 = a(- 3 +6)² - 1
0 = 9a - 1 ( add 1 to both sides )
1 = 9a ( divide both sides by 9 )
a = 
, thus
y = (x + 6)² - 1 ← in vertex form
Expand factor and simplify
y = (x² + 12x + 36) - 1 ← distribute
y = x² + 
x + 4 - 1
= x² + x + 3 ← in standard form
Answer:
120
Step-by-step explanation:
For this, all we have to do is multiply 750 by 16%. We know, from percent to decimal conversion, that 16% is 0.16 (divide the percent by 100 to convert to a decimal). From there, if we multiply 750 by 0.16, we get our answer to be 120
Answer:
9/20
Step-by-step explanation:
Not hard. Multiply top and bottom by the other number. 3*3 = 9, and 4*5 = 20. so 9/20
Answer:
Step-by-step explanation:
- A. 36 × 6 × 6 × 6 = 6²⁺¹⁺¹⁺¹ = 6⁵ incorrect
- B. 125 × 125 = 5³ × 5³ = 5³⁺³= 5⁶ correct
- C. 6 × 5 incorrect
- D. 25 × 5 × 5 × 5 = 5² × 5 × 5 × 5 = 5²⁺¹⁺¹⁺¹ = 5⁵ incorrect
