Answer:
The answer to your question is Katie had 15 rocks and Oliver 45 rocks.
Step-by-step explanation:
Conditions
Katie has x amount of rocks
Oliver has 3x amount of rocks
The final amount of rocks
Oliver = 3x + 75
Katie = x + 105
Now, they have the same amount of rocks, then we can equal both equations
3x + 75 = x + 105
Solve for x
3x - x = 105 - 75
2x = 30
x = 30/2
x = 15
Conclusions
At first Katie had 15 rocks and Oliver had 3(15) = 45 rocks
Answer:
2x(5+13)
Step-by-step explanation:
add then multiply by 2
9514 1404 393
Answer:
f(x) = 4·3^x
Step-by-step explanation:
We assume the function will be of the form ...
f(x) = a·b^x
Substituting the given values, we can find 'a' and 'b'.
4/9 = a·b^(-2)
108 = a·b^3
Dividing the second equation by the first gives ...
108/(4/9) = b^(3 -(-2))
243 = b^5
b = 3 . . . . . . 5th root
Using the second equation, we can find 'a':
108 = a·3^3 = 27a
a = 108/27 = 4
The formula for the exponential function is ...
f(x) = 4·3^x
The options are:
A) exactly one triangle;
B) no triangles;
<span>C) more than one triangle.</span>
First thing, let's see if these angles can make a triangle:
(81 + 52 + 47) = 180
We know that the sum of the inner angles of a triangle must equal 180°, therefore yes, they can be angles of a triangle.
With only the measure of the angles and nothing about the sides, we can construct as many triangles as we want: try, indeed, to construct a triangle with given angles bus sides of your choice; then, double the sides. You will get a triangle that is twice the size, but the angles remained the same.
Hence, the correct answer is C) more than one triangle.
