Answer:
C
Step-by-step explanation:
C, because the second line keeps adding 6 to it and, the third line keeps adding 7.
F(X)= x+1/4x-2
f(2) = (2 + 1)/[(4)(2) - 2]
f(2) = 3/6 = 1/2
Answer:
f(x) = -(x-3)^2 + 4
Step-by-step explanation:
(h; k) are the coordinates of the vertex.
On the graph are (3, 4), therefore we have:
f(x) = a(x-3)^2 + 4
We have the x- intercept (1,0) -> x=1; y=0.
Substitute them into the equation:
0 = a(1 - 3)^2 + 4
0 = a(-2)^2 + 4
4a + 4 = 0 | -4
4a = -4 |-4
a = -1
So, we have the answer:
f(x) = -(x-3)^2 + 4
Answer:
x ≤ 207 crates
Step-by-step explanation:
Greatest weight of the container = 27,500 kilograms
Weight of other shipment = 6,800 kilograms
Weight of a crate = 100 kilograms
Number of 100-kilogram crates that can be loaded into the shipping container = x
The inequality is
27,500 ≤ 6800 + 100x
27,500 - 6800 ≤ 100x
20,700 ≤ 100x
x ≤ 20,700 / 100
x ≤ 207 crates
In parallelogram LMNO, NO = 10.2, and LO = 14.7. The basic property of a parallelogram that the opposite sides in a parallelogram are equal; so, two sides are 10.2 (NO=LM=10.2), and two sizes are 14.7, = (LO=MN=14.7).
The perimeter of the parallelogram LMNO is:
P= 2NO + 2LO.
P= (2 x 10.2)+(2 x 14.7).
P= 20.4 + 29.4.
So, P= 49.8.
