Answer:
2.69≤x≤17.31
Step-by-step explanation:
Lety the amount in the other Piggy bank be x.
The difference in the amount of money between the two banks is no more than $10 is expressed as;
|x-7.31| ≤ 10
The value in the modulus sign can be positive or negative
If positive;
x-7.31 ≤ 10
x ≤ 10+7.31
x≤17.31
If negative
-(x-7.31) ≤ 10
-x+7.31 ≤ 10
-x ≤ 10-7.31
-x ≤ 2.69
Multiply both sides by -1
x ≥ -2.69
The compound inequality representing the amount of money in the other bank is -2.69≤x≤17.31
Answer:
Giraffe = 10
Guinea Pig = 4
Tiger = 16
Step-by-step explanation:
G GP T = 30
----------------------------------------------------------
X X-6 (X-6)*4
-----------------------------------------------------------
9 3 12 = 24
----------------------------------------------------------
10 4 16 = 30 ✅
----------------------------------------------------------
2 solutions (X^2)
The Answer is D. Two Real Solutions
Given:
Area of rectangle = 
Width of the rectangle is equal to the greatest common monomial factor of
.
To find:
Length and width of the rectangle.
Solution:
Width of the rectangle is equal to the greatest common monomial factor of
is



Now,

So, width of the rectangle is
.
Area of rectangle is

Taking out GCF, we get

We know that, area of a rectangle is the product of its length and width.
Since, width of the rectangle is
, therefore length of the rectangle is
.
The tangent to
through (1, 1, 1) must be perpendicular to the normal vectors to the surfaces
and
at that point.
Let
. Then
is the level curve
. Recall that the gradient vector is perpendicular to level curves; we have

so that the gradient of
at (1, 1, 1) is

For the surface
, we have

so that
. We can obtain a vector normal to
by taking the cross product of the partial derivatives of
, and evaluating that product for
:


Now take the cross product of the two normal vectors to
and
:

The direction of vector (24, 8, -8) is the direction of the tangent line to
at (1, 1, 1). We can capture all points on the line containing this vector by scaling it by
. Then adding (1, 1, 1) shifts this line to the point of tangency on
. So the tangent line has equation
