Answer:
The answer to your question is: x = 1, y = 4
Step-by-step explanation:
I'll change decimals to fractions
4.5 = 9/2
12.5 = 25/2
3.25 = 13/4
0.75 = 3/4
-9/2 x - 2 y = - 25/2 (I)
13/4 x - y = - 3/4 (ll)
Process
from (II) y = 13/4x + 3/4
Sunstitution -9/2x -2(13/4 x + 3/4) = - 25/2
-9/2 x - 13/2 x - 3/2 = -25/2
Multiply by 2 -9 x - 13 x - 3 = -25
-22 x = -25 + 3
-22 x = -22
x = 22/22
x = 1
y = 13/4 (1) + 3/4
y = 16/4
y = 4
On a number line, v would be all the numbers to the left of -3 (for example, |-4|=4 which is greater than 3) and all the values to the right of positive 3. Since it can't equal 3, v=-3 and v=3 are not included on the number line.
32 is your initial value, because that is what he starts with
Answer:
C. sqrt((-3-6)² + (4+2)²)
Step-by-step explanation:
as we are using Pythagoras and asking for the distance as a side length (actually the Hypotenuse, the side opposite of the 90 degree angle) in a right-angled triangle, only an expression of a square root of a sum of squares can be right.
so, A and B are automatically out without even further analysis.
for the distance between 2 points on a coordination grid we build the mentioned right-angled triangle with the difference in x-direction as one side (e.g. "a"), the difference in y-direction as a second side (e.g. "b").
and the direct distance is then the Hypotenuse "c".
you remember Pythagoras :
c² = a² + b²
and therefore
c = sqrt(a² + b²)
in our example "a" is the difference between the 2 x-values.
a = (-3 - 6)
and "b" is the difference between the 2 y-values.
b = (4 - -2) = (4 + 2)
since we have to square them for the formula, the direction of what is subtracted from what is irrelevant, as the square of a negative value is also positive.
c = sqrt((-3 - 6)² + (4 + 2)²)
and that is answer option C
The exponential function with a growth factor has a rate greater than 1
The percentage growth rate is 276%
<h3>How to determine the percentage growth rate?</h3>
The growth factor (b) is given as:
b = 3.76
The growth factor (b) is greater than 1.
So, the percentage growth rate (r) is calculated as:
r = b - 1
Substitute known values
r = 3.76 - 1
Evaluate the difference
r = 2.76
Express as percentage
r = 276%
Hence, the percentage growth rate is 276%
Read more about exponential functions at:
brainly.com/question/11464095
