9514 1404 393
Answer:
f(x) = 6x +1
Step-by-step explanation:
Differences in x-values (first row) are 1, 1, 1.
Differences in y-values (second row) are 6, 6, 6.
The constant ratio of differences (6/1) tells you the function is linear, and has a slope of m = 6/1 = 6.
Using the first point in the form ...
y = mx + b
we have ...
y = 6x + b
7 = 6·1 + b . . . . (x, y) = (1, 7)
1 = b . . . . . . subtract 6
Then the equation can be written ...
y = 6x +1
In functional form, this is ...
f(x) = 6x +1
Answer:
-1/8
Step-by-step explanation.
125 x 8 = 1000
.125 x 8 = 1
-.125 x 8 = -1
-1/8
Answer:
B and C
Step-by-step explanation:
We are given a rectangular prism that consists of 10 cubes. Each cube = 1 cm³. The volume of rectangular prism given = 10cm³.
Let's find out which of the options has same volume (10cm³) as that of the given rectangular prism.
Option A has 15 cubes = 15 cm³ in volume
Option B has 10 cubes = 10 cm³ in volume
Option C has 10 cubes also = 10 cm³ in volume
Option D has 12 cubes = 12 cm³
The rectangular prisms that have the same volume (10 cm³) with the given rectangular prism are option B and C.
Answer:
0.399
Step-by-step explanation:
The key to doing this problem properly lies in knowing and following order of operations rules.
Here we must perform mult. and div. before addition and subtr., but even before that we must do all work enclosed in parentheses first.
(22.8 × 10–3) is evaluated by doing the mult. first, and then subtracting 3:
(228-3) = 225
and
(5.7 × 10–6) is evaluated by doing the mult. first, then subtracting 6:
(570-6) = 564.
Finally, we divide 225 by 564, obtaining 0.399 (after rounding off to three decimal places).
