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
4 km = 4000 meters
7000 meters = 7 km
therefore julia ran further.
hope this helps you
Let's say we have a parallelogram that has sides of 2 and 3
perimeter = 2 * (side1 + side2)
perimeter = 2 * (2 + 3)
perimeter = 10
If the sides are increased by a factor 4, the sides are 8 and 12
perimeter = 2 * (side1 + side2)
perimeter = 2 * (8 + 12)
perimeter = 40
The perimeter increases by a factor 4.
Answer:
The total amount of trial mix made by Maya is
.
Step-by-step explanation:
Given,
Amount of mixed nuts = 
Amount of dry fruits = 
Amount of chocolate morsels = 
We have to find out the total amount of trial mix made by Maya.
Solution,
Total amount of trial mix is the sum of amount of mixed nuts, amount of dried fruit and amount of chocolate morsels.
So we can frame the above sentence in equation form as;
Total amount of trial mix = Amount of mixed nuts + Amount of dry fruits + Amount of chocolate morsels
On putting the given values, we get;
Total amount of trial mix =
Here we have to add the fractions.
For this we will make the denominator same.
Total amount of trial mix =
Hence The total amount of trial mix made by Maya is
.
Answer: discriminant of f is -63
Step-by-step explanation: