Answer: -7
Step-by-step explanation:
The answer is -7 because -7 can go into 7y^2 and 7y one time and 7 can go into 84 12 times. -7(1y^2 -1y -12)
Answer:
The correct answer is M = -200
Step-by-step explanation:
It is given an equation,
M/5 = -40
In this equation there is only one variable .
The variable is M. To find the value of M we have to evaluate the expression.
<u>To find the vale of M</u>
M/5 = -40
By cross multiplying we get,
M = -40 * 5
M = -200
Therefore the value of M = -200
Answer:
Eric is not correct.
Step-by-step explanation:
We have been given that Eric estimated
by finding
. His estimate was 1500, but he says the actual product will be greater than that amount.
To find if Eric is correct or not, let us see how to estimate an answer.
While estimating our given numbers we will round to nearest tenth and change the digit to the right of the rounding place to 0.
As 8 is greater than 5, so we will round 28 to 30 and 48 to 50.
Since we are rounding up, so our estimated answer will be greater than actual answer, therefore, Eric is not correct.
Answer:

Step-by-step explanation:
If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.
Therefore, if
and
vary inversely, their product will be the same for all values of
and
.
Let
and
as given in the problem. Substitute values:

Hence, the maintained product is
.
Thus, we have the following equation:

Substitute
to find the value of
when
:

Answer:
The true statements are,
x ∈ B
x ∉ C
x ∈ A ⋃ B
x ∈ A ⋂ B
x ∈ A ⋃ C
Step-by-step explanation:
From the figure we can see three sets A, B, C
Check all options
1) x ∉ A
From the figure we get, x is an element of A
x ∉ A is False
2) x ∈ B
From the figure we get, x is an element of B
x ∉ B is True
3) x ∉ C
From the figure we get, x is not an element of C
x ∉ C is True
4). x ∈ A ⋃ B
From the figure we get, x is an element of A ⋃ B
x ∈ A ⋃ B is True
5). x ∈ A ⋃ C
From the figure we get, x is an element of A ⋃ C
x ∈ A ⋃ C is True
6).x ∈ A ⋂ B
From the figure we get, x is an element of A ⋃ B
x ∈ A ⋂ B is True