You have added -13 to every function value, so every point on the graph is 13 "spaces" lower. The y-intercept is one such point, so ...
-The y-intercept is 13 spaces lower.
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<em>Comment on notation</em>
In plain text an exponent is preceded by a caret (^). If the exponent has arithmetic involved (addition, subtraction, multiplication, division), then the entire exponent needs to be enclosed in parentheses. When an exponential term that has a constant base is multiplied by another constant, then some sort of multiplication indicator is useful. Your expressions might be written ...
... f(x) = 4·2^x
... f(x) = 4·2^x - 13 . . . . . . or, better, f(x) = 4(2^x) - 13 . . so it is clear -13 is not part of the exponent
Answer:
x = 3
Step-by-step explanation:
We can write the equation as 16 + x = 19
To solve we can work backwards, I know the opposite of adding is subracting... so 19 - 16 = 3 which means x is equal to 3.
Hope that helps and have a great day!
We have the 2 equations
1- ) 5x-8y=6
2-) -6x-3y=18
multiplying the first equation by 3 and the second equation by 8 then subtracting
1-) 15x-24y=18
2-) -48x-24y=144
-48x-24y=144
(-) 15x-24y=18
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-63x = 126
x=-2
substituting in equation 1
5(-2)-8y=6
-10-8y=6
-8y=16
y=-2
the soultion is (-2,-2)
Answer:
x = 15
Step-by-step explanation:
Hope this helps! :D
Answer:
B. II only . . . (-1, 4)
Step-by-step explanation:
The function factors as ...
f(x) = (x +1)(x -4)
The factors are zero when x=-1 and x=4. The value of the function will be negative when one of these factors is negative, between x=-1 and x=4. In interval notation, that interval is ...
(-1, 4) . . . interval for f(x) < 0 . . . . . . interval description II (only)
