Answer:
(-2 , 5)
(-1 , 0)
(1 , -4)
(3 , 0)
(4 , -5)
Step-by-step explanation:
<u>First solve the equation:</u>
x² - 2x - 3
<em><u>Find two numbers with have a sum of -2 and a product of -3.</u></em>
-3 and 1
(x - 3)(x + 1)
Solve for x:
x - 3 = 0
x = 3
x + 1 = 0
x = -1
You know that the graph will cross the x-axis at -1 and 3.
(-1 , 0)
(3 , 0)
You know that the graph is positive.
<u>Complete the square to find the vertex</u>
x² - 2x - 3
(x - 1)² = x² - 2 + 1
x² - 2x - 3 = x² - 2 + 1 - 2 = (x - 1)² - 2
1 = 0
x = 1
Substitute into the original equation:
x² - 2x - 3 =
1² - (2 * 1) - 3 =
1 - 2 - 3 =
-4
(1 , -4)
<em><u>You can input any two numbers within -10 and 10. Such as -2 and 4.</u></em>
x² - 2x - 3 =
-2² - (2 * -2) - 3 =
4- -4- 3 =
5
(-2 , 5)
x² - 2x - 3 =
4² - (2 * 4) - 3 =
16 - 8 - 3 =
-5
(4 , -5)
Answer:
Slope : The rate of increase of temperature on the earth's surface is 0.02°C per year since 1900.
T-intercept : 8.5 represents the temperature in °C of the earth's surface in the year 1900.
Step-by-step explanation:
The average surface temperature of Earth rising steadily. Scientists have modeled the temperature by the equation, T = 0.02t + 8.50 where t represents years since 1900 and T is the temperature in ◦C.
Now, the slope of the model equation is 0.02 which means the rate of increase of temperature on the earth's surface is 0.02°C per year since 1900.
Again, the T-intercept i.e. 8.5 represents the temperature in °C of the earth's surface in the year 1900. (Answer)
Answer:
option C: Asian
explanation:
Asian countries, such as China, produce goods like the European products, but for much cheaper prices.
Answer:
Quotient: 6
Remainder: None
Step-by-step explanation:
24 divided by 4 is 6.
1: 40 2: 78 3: 48 4: 26 5: 15 6: 70
