Answer:
1 and 1/3
Step-by-step explanation:
3a² -4a +1 = 0
3a²- 3a - a+ 1= 0
3a(a-1) - (a-1)= 0
(a-1)(3a -1)= 0
a-1= 0 ⇒ a= 1
3a - 1= 0 ⇒ 3a= 1 ⇒ a= 1/3
Answer:
D
Step-by-step explanation:
There are 1.61 km in 1 mi.
10 mi × (1.61 km/mi) = 16.1 km
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)
Answer:
P = 22
Step-by-step explanation:
P= l(2) + w(2)
5(2) + 6(2)
10 + `12
22
The equation for a line is y=mx+b. where m is the slope and b is the y intercept.
The slope of 17 is provided. This means m=17. The point (0,0) tells you the y intercept is 0. This means b=0
Plugging these into the equation and simplifying:
y=17x+0
y=17x
Hope this helps :)