Answer:
y = - (x + 1)²
Step-by-step explanation:
Vertex form of a parabola is given by,
y = -(x - h)² + k
Where (h, k) is the ordered pair representing vertex.
(-) sign denotes that the parabola is opening downwards.
If the coordinates of the given parabola is (-1, 0)
Equation of the parabola will be,
y = - (x + 1)² + 0
y = - (x + 1)²
Therefore, equation of the parabola will be, y = - (x + 1)²
Answer:
13cm
Step-by-step explanation:
104 × 2 = 208
208 ÷ 16 = 13cm
(13 × 16) ÷ 2 = 104cm²
<h3>Given</h3>
P = 3r + 2s
<h3>Find</h3>
the corresponding equation for s
<h3>Solution</h3>
First of all, look at how this is evaluated in terms of what happens to a value for s.
- s is multiplied by 2
- 3r is added to that product
To solve for s, you undo these operations in reverse order. The "undo" for addition is adding the opposite. The "undo" for multiplication is division (or multiplication by the reciprocal).
... P = 3r + 2s . . . . . . starting equation
... P - 3r = 2s . . . . . . -3r is added to both sides to undo addition of 3r
... (P -3r)/2 = s . . . . . both sides are divided by 2 to undo the multiplication
Note that the division is of everything on both sides of the equation. That is why we need to add parentheses around the expression that was on the left—so the whole thing gets divided by 2.
Your solution is ...
... s = (P - 3r)/2
The interpretation is that we are 95% confident that the true population proportion p is somewhere between 0.58 and 0.64
The population proportion p in this case refers to the proportion of people who feel that race relations in this country are generally bad.
Something like 0.58 converts to 58% when you move the decimal point 2 spots to the right.
