Answer:
-4p=13
Step-by-step explanation:
-3p-7p=13
-4p=13
p=-13/4
We want to determine the domain of

any function of the form

is called an "exponential function",
the only condition is that b is positive and different from 1, and a is a nonzero real number.
The domain of such functions is all real numbers.
That is for any x, the expression <span>3(2^-x) "makes sense".
Answer: </span><span>The domain is all real numbers</span>
Answer:
If a = 5 and b = 3, then that means 2a - 3b + 3a = 16
Step-by-step explanation:
2a - 3b + 3a
(2×5) - (3×3) + (3×5)
10 - 9 + 15 = 16
Answer:
B)
x units
Step-by-step explanation:
Let quadrilateral KMPT be a rectangle with dimensions 12 units by 8 units. Then its perimeter would be equal to:
Perimeter of a rectangle = 2 (l + b)
where: l is the length = 12 units and b is the breadth = 8 units. So that:
Perimeter of KMPT = 2 (12 + 8)
= 40 units
Dilating KMPT by a scale factor of
would create K'M'P'T' of dimensions;
× 12 units by
× 8 units. Thus, the dimensions of K'M'P'T' would be 9 units by 6 units.
Perimeter of K'M'P'T' = 2 (l + b)
= 2(9 + 6)
= 30 units
Comparing the perimeters of KMPT and K'M'P'T', the perimeter of K'M'P'T' would be
× perimeter of KMPT.
Therefore, if the perimeter of KMPT is x units, then;
perimeter of K'M'P'T' =
* x units
=
x units
Answer:
see below
Step-by-step explanation:
1. < 4 is the exterior angle of a triangle given
2. <1 + <2 + <3 =180 basic property of triangles
3. <3 + <4 are a linear pair <3 and <4 are adjacent and form a straight line
4. <3 and <4 are supplementary angles supplementary angles are linear pairs
5. <3 + <4 = 180 The definition of supplementary angles are that they add to 180 degrees
6. <1 + <2 + <3 = <3+ <4 Substitute <3 + <4 for 180 in equation from step 2
7 <1 + <2 = <4 Subtract <3 from each side using the subtraction property of equality