Answer:
The value of x if the equation is
3x + 4y=65
x = 49/3 or 16.3
&
3x - 4y=65
x= 27
Answer:
3 * 10^3 in scientific notation.
3,000 in standard notation.
Step-by-step explanation:
We divide:
3.9 *10^5 / 1.3 * 10^2
= ( 3.9/1.3) * (10^5 / 10^2)
= 3 * 10(5-2)
= 3 * 10^3.
This equals 3 * 1,000 = 3000.
The total amount Ellen paid for the book $16.21
Hope this helps!!
Answer:
The value of n is -6
Step-by-step explanation:
- If the function f(x) is translated k units up, then its image is g(x) = f(x) + k
- If the function f(x) is translated k units down, then its image is g(x) = f(x) - k
- The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex
∵ k(x) = x²
→ Its graph is a parabola with vertex (0, 0)
∴ The vertex of the prabola which represents it is (0, 0)
∵ The given graph is the graph of p(x)
∵ Its vertex is (0, -6)
∴ h = 0 and k = -6
∵ a = 1
→ Substitute them in the form above
∴ p(x) = 1(x - 0)² + -6
∴ p(x) = x² - 6
→ Substitute x² by k(x)
∴ p(x) = k(x) - 6
∵ p(x) = k(x) + n
→ By comparing the two right sides
∴ n = -6
∴ The value of n is -6
Look at the attached figure for more understanding
The red parabola represents k(x)
The blue parabola represents p(x)
There is no exact rule for lines of best fit. However, in general, there should be roughly the same amount above as below. So, if we are following this rule, there should be about 4 below as well.