Answer:
a. Graph 1 is y=2^x and Graph 2 is y=2x+1
b. The slope increases over time on Graph 1, and remains the same on Graph 2
c. Graph 1 is exponential (y=2^x) and Graph 2 is linear (y=mx+b)
Hope this helps!
Step-by-step explanation:
a: y=2* is exponential, so it is graph 1 (it makes a curve) y=2x+1 is linear (makes a line), and it has a slope of 2 and a y-intercept of 1, so y=2x+1 is graph 2!
b. slopes of Exponential Functions usually continue to increase (unless the number that is being affected by the exponent x is less than 1, in which they would continue to decrease), and linear functions have a set slope (m in y=mx+b)
c. Explanation is in the answer (it says to explain)
9514 1404 393
Answer:
8 ± √34 ≈ {2.169, 13.831}
Step-by-step explanation:
Let x represent one of the numbers. Then the other is 16 -x and their product is ...
x(16 -x) = 30
x^2 -16x = -30 . . . . . eliminate parentheses, multiply by -1
x^2 -16x +64 = 34 . . . . add 64 to complete the square
(x -8)^2 = 34 . . . . . . . . rewrite
x -8 = ±√34 . . . . . . . .square root
x = 8 ± √34 . . . . . . add 8
x ≈ {2.169, 13.831}
Answer:
12
Step-by-step explanation:
1/3 divide by 4
Take the reciprocal and get 3 times 4
Gives you 12.
Answer:
Step-by-step explanation:
\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:100
\mathrm{Multiply\:the\:quotient\:digit}\:\left(0\right)\:\mathrm{by\:the\:divisor}\:505
\mathrm{Subtract}\:0\:\mathrm{from}\:23
An expression of more than 2 terms
