The location of the vertex tells you the horizontal and vertical shift. (The parent function f(x) = x² has its vertex at the origin, (0, 0). The vertical distance of the point 1 unit left or right of the vertex in relation to the vertex tells you the vertical scale factor (stretch).
g(x) = f(x +3) -3
horizontal shift left 3
vertical shift down 3
h(x) = -3f(x)
reflection across the x-axis
vertical stretch of 3
d(x) = f(x -3) -3
horizontal shift right 3
vertical shift down 3
Answer:
The total population of these two states is:
Therefore, option C is correct.
Step-by-step explanation:
- The population of California is approximately 38,040,000.
- The population of Texas is about 2.606 × 10⁷.
Writing the population of California i.e.38,040,000 in scientific notation by moving the decimal point 7 places to the left and dropping the 0's on the right side as they're after the decimal point now.
i.e.
38,040,000 = 3.804 x 10⁷
So adding 3.804 x 10⁷ and 2.606 × 10⁷
i.e.
Thus, the total population of these two states is:
Therefore, option C is correct.
Answer:
The integers are 11 and 12
Step-by-step explanation:
11 and 12 are consecutive positive integers, and 11 x 12 = 132.
Answer:
m ≤ 250
(where m is miles)
Step-by-step explanation:
He can go a maximum of 250 miles on a tank of gas (25 miles per gallon * 10 gallons), and this can be expressed as follows:
m ≤ 250
Answer:
The equation that represents the number of tickets that Josiah can buy with $45.50
3 + 8.50x = 45.50
The number of number of tickets that Josiah can buy with $45.50 is 5 ticketa
Step-by-step explanation:
Let the number of tickets be represented by x
Tickets are $8.50 plus he must play Fangalingo a $3 transaction fee for purchasing the tickets online.
The equation that represents the number of tickets that Josiah can buy with $45.50
$3 + $8.50 × x = $45.50
3 + 8.50x = 45.50
Solving further for x
3 + 8.50x = 45.50
8.50x = 45.50 - 3
8.50x = 42.50
x = 42.50/8.50
x = 5
Hence, the number of number of tickets that Josiah can buy with $45.50 is 5 ticketa
