Answer:
The first equation must be multiplied by -5 to eliminate x variable by addition
Step-by-step explanation:
4 x - 3 y = 1 (1)
5 x + 4 y = 9 (2)
If the second equation is multiplied by 4
5x+4y=9. ×4
We have,
20x+16y=36 (3)
The first equation should be multiplied by -5 to eliminate x variable by addition
4x-3y=1 × -5
We have
-20x+15y=-5 (4)
Add equation (3) and (4) to eliminate x variable
20x+16y=36
-20x+15y=-5
31y=31
Divide both sides by 31
y=1
Substitute y=1 into equation (1)
4 x - 3 y = 1
4x-3(1)=1
4x-3=1
4x=1+3
4x=4
Divide both sides by 4
x=1
Answer:

Step-by-step explanation:
Begin with substuting the x variable with -2, we do this because the question has listed the value of x already.
Using the value of x, -2 we determine g(x).
g(x) = -2^2 + 2
Above is what the equation would look as, after you input the value of -2.
Using pemdas, (parantheses, exponents, multiplication, division, addition, subtraction) solve the equation.
-2^2 = 4
Think of it as -2 * -2, which is why -2^2 is 4.
Add 4 +2.
4 + 2 = 6.
Therefore, the value of g(x) = 6
Answer: 40
Step-by-step explanation: first make the ratio into a fraction, 2/3
then make 24 into a fraction with the numerator as a variable and the denominator as 24, x/24
then cross multiply 2 and 24.
2x24=48
then divide 48 by 3, 16.
last add the number of lollipops to 16 and the answer is 40.
Answer:
3.48 hours
Step-by-step explanation:
The equation is:

Where
M(t) is the amount of medication remaining in mg
t is the time it takes, in hours
The questions asks HOW LONG it will take to make the remaining medication to 1 milligrams (1 mg)??
We have to substitute M(t) with "1" and find the corresponding value of "t". We will use natural log to solve this. Shown below:

<u>Note: </u> Ln(e) = 1
This means, the amount of time it will take is about 3.48 hours