Answer:
B, D, E, F.
Step-by-step explanation:
In the statement, the square of an even integer is even. From the options provided, we have to select the ones that provide similar ways of expressing this.
Options B, D, E, F provided with the question and reproduced below convey the same statement in different ways:
B: Given any integer whose square is even, that integer is itself even.;
D: Any integer with an even square is even.;
E: If the square of an integer is even, then that integer is even and
F: All even integers have even squares.
Answer:
B. y = 5/2x - 14
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula y
−
y
1
=
m
(x
−
x
1
) to find the line parallel to y
=
5
/2
x
−
10
.
y
=
5
/2
x
−
14 PARALLEL
...................................................................................................................................................
Find the negative reciprocal of the slope of the original line and use the point-slope formula y
−
y
1
=
m
(
x
−
x
1
) to find the line perpendicular to y
=
5
/2
x
−
10
.
y
=
−
2
/5
x
−
157
/5 PERPENDICULAR
I pretty sure it’s 2500/3
Answer:
Tom's books cost him $57.9569 after the discount
Step-by-step explanation:
Step 1: Determine the initial cost of the books
Initial cost of books=$65.86
Step 2: Calculate discount amount
Discount amount can be expressed as follows;
discount amount=discount rate×initial cost of books
where;
discount rate=12%
initial cost of books=$65.86
replacing;
discount amount=(12/100)×65.86=7.9032
discount amount=$7.9032
Step 3: Cost after discount
The cost after discount can be expressed as;
Cost after discount=Initial cost-discount amount
where;
Initial cost=$65.86
discount amount=$7.9032
replacing;
Cost after discount=(65.86-7.9032)=$57.9569
Tom's books cost him $57.9569 after the discount
Answer:
X≥10≤30
Step-by-step explanation:
This means it has to be at least 10 but no more than 30.