Answer:√-40=2√-10
Step-by-step explanation:Finding the factors of 40,we have ,√4×√-10=2×√-10=2√-10
To find the x-intercept set y=0 and solve for x.
3x-7y=21
3x-7(0)=21
3x=21
x=7
so, x-intercept is at (7,0)
to find the y-intercept set x=0 and solve for y.
3x-7y=21
3(0)-7y=21
-7y=21
y=-3
so, y-intercept is at (0,3)
The set A satisfying the given inequality is A = (-, -10].
<h3>What are some properties of an inequality relation? </h3>
Following are some facts which are true for an inequality relation:
- Equal numbers can be added or subtracted from both sides of an inequality without affecting the inequality sign.
- The Inequality sign is unchanged if both sides are multiplied or divided by a positive number, but when multiplied or divided by a negative number the inequality sign is reversed.
Since y ∈ B, -2 ≤ y ≤ 7. So,
The set {-x | inequality (1) holds ∀ y ∈ B} is [10, ) i.e.
10 ≤ -x ≤ .
Multiplying -1 throughout gives
-10 ≥ x ≥ -.
x, thus, lies in the range A = (-, -10}.
Learn more about the inequality here.
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<h3>Question </h3>
Find the set A such that for x ∈ A
∀y ∈ B = {y ∈ R | -2 ≤ y ≤ 7}.
#SPJ4
We have an object measured in <u>Meters</u>, and we want to cut sections of it off in <u>Centimeters</u>, a different unit of measurement.
Because we're subtracting sections of the pipe, we want to make the units the same, this will make our calculations easier.
1 Meter = 100 Centimeters, so, <u>2.5 Meters = 250 Centimeters</u>
We're cutting ( 60 Cm + 35 Cm + 90 Cm ) off, which totals <u>185 Cm</u>.
250 Cm Pipe - 185 Cm Cuts = 65 Cm Pipe Left
The correct answer is A. NGNGATo find a sequence is arithmetic, we are going to find its common difference:
where
is the common difference
is the current term in the sequence
is the previous term in the sequence
To find if a sequence is geometric, we are going to find its common ratio:
where
is the common ratio
is the current term in the sequence
is the previous term in the sequence
1) 3,4,6,10,18
For
and
:
For
and
:
For
and
:
For
and
:
We can conclude that the sequence is neither arithmetic nor geometric.
2) For
and
:
For
and
:
For
and
:
For
and
:
We have a common ratio, we can conclude that the sequence is geometric.
3) For
and
:
For
and
:
For
and
:
We can conclude that the sequence is neither arithmetic nor geometric.
4) 3,15,75...
For
and
:
For
and
:
For
and
:
For
and
:
We have a common ratio, we can conclude that the sequence is geometric.
5) 5,-11,-27
For
and
:
For
and
:
We have a common difference, we can conclude that the sequence is arithmetic.