The function is: g ( x ) = 6^x
Section A: from x = 1 to x = 2
g ( 1 ) = 6, g ( 2 ) = 36
Average rate of change:
( 36 - 6 ) / ( 2 - 1 ) = 30 / 1 = 30
Section B : from x = 3 to x = 4
g ( 3 ) = 6^3 = 216, g ( 4 ) = 6 ^4 = 1296
Average rate of change:
( 1296 - 216 ) / ( 4 - 3 ) = 1080 / 1 = 1080
1080 : 30 = 36
Average rate of change of Section B is 36 times greater than the Section A.
This is because the function is exponential.
Answer:
x = 5.95
Step-by-step explanation:
Given
= 3.5
Multiply both sides by 1.7 to clear the fraction
x = 1.7 × 3.5 = 5.95
Answer: See explanation
Step-by-step explanation:
Your question isn't complete but let me help out.
You said that you thought of number J, and then subtracted half of it from 34. This can be mathematically written as:
= 34 - (J/2)
Let's reframe the question and assume that you thought of a number J, and then subtracted half of it from 34 and the answer you get is 12. To find J goes thus:
You subtract half of J from 34 and equate it to 12. This will be:
34 - (J/2) = 12
Collect like terms
34 - 12 = J/2
22 = J/2
J = 22 × 2
J = 44
In this scenario, J = 44. We can check to confirm.
Check: 34 - (J/2)
= 34 - (44/2)
= 34 - 22
= 12
Answer:
Te diagonal of a kite will form a parallelogram.
explanation:
Kite properties include (1) two pairs of consecutive, congruent sides, (2) congruent non-vertex angles and (3) perpendicular diagonals. Other important polygon properties to be familiar with include trapezoid properties, parallelogram properties, rhombus properties, and rectangle and square properties.
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