Answer:
See sample table below.
Step-by-step explanation:
The function is given as :
f(x) = 3ˣ
A table of values can be formed as ;
x <u>calculations</u> f(x)
-4 3⁻⁴ 0.0123
-3 3⁻³ 0.0370
-2 3⁻² 0.1111
-1 3⁻¹ 0.3333
0 3⁰ 1.000
1 3¹ 3.000
2 3² 9.000
3 3³ 27.00
4 3⁴ 81.00
Answer:
Step-by-step explanation:
The picture shows three isosceles tirangles with the same legs. The base of each triangle is 12 units, 5x-3 units and 17 units.
Since the angles at vertex of each isosceles triangles are 27°, 28° and 29°, then the lengths of the bases satisfy the double inequality
15<5x-3<17
Add 3 to this inequality
15+3<5x-3+3<17+3
18<5x<20
Divide it by 5:
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Given
sin²x + 7cosx + 17
=1 - cos²x + 7cosx + 17
= - cos²x + 7cosx + 18 ← factor out - 1 from each term
= - (cos²x - 7cosx - 18)
Consider the factors of the constant term (- 18) which sum to give the coefficient of the cosx term (- 7)
The factors are - 9 and + 2, thus
= - (cosx - 9)(cosx + 2) ← in factored form
Answer:
Step-by-step explanation:
Container A = 75.36 x 17 = 1,281.12
Container B = 62.8 x 18 = 1,130.4
1,281.12 - 1,130.4 = 150.72 is left in container A.
So, 1,130.4 was taken out of it.
1,281.12 divided by 1,130.4 = 1.13
move the decimal over two to the right. Or times it by 100.
113%
