Gretchen and Ezia received equal scores on a test made up of multiple choice questions and an essay. Gretchen got 18 multiple ch
2 answers:
Answer:
Each question had 4 points.
Step-by-step explanation:
Let the questions be x points each. As both Gretchen and Ezia received equal scores, we can write the equation as:
18x+19=15x+31 (Let the questions be x points each)
Solving for x;
=>
Dividing both sides by 3;
x = 4
Hence, each question had 4 points.
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Answer:
Step-by-step explanation:
The right triangle has the hypotenuse = 18
Let 'Ф' be the missing angle
we know that
cos Ф = adjacent/hypotenuse
Here,
- The adjacent to Ф = 13
- The hypotenuse = 18
so
cos Ф = adjacent/hypotenuse
Therefore, the missing angle is:
Given:
f(x) is an exponential function.
To find:
The value of f(6.5).
Solution:
Let the exponential function is
...(i)
Where, a is the initial value and b is the growth factor.
We have, . So, put x=-3.5 and f(x)=25 in (i).
...(ii)
We have, . So, put x=6 and f(x)=33 in (i).
...(iii)
On dividing (iii) by (ii), we get
Putting b=1.03 in (iii), we get
Putting a=27.63 and b=1.03 in (i), we get
Therefore, the required exponential function is .