Answer:
Part A: 7n + 30= -5 and 8n + 40= 16
Part B: 7(8) + 30= 86 and 8(8) + 40= 104
Part C: Company A saves you 12.
Step-by-step explanation:
Company A: 7n + 30
Company B: 8n + 40
7n + 30= -5 8n + 40= 16
7(8) +30= 86 8(8) +40= 104
7(2) + 30= 44 8(2) + 40= 56
56 - 44= 12
Answer:
t = 3/2
Step-by-step explanation:
Instead of randomly guessing values of "t" that will satisfy the equation, you can easily find the correct value by solving the equation in terms of "t". In other words, you can set the equation equal to "t" to find the final answer.
(-2/3)t - 2 = -3 <----- Original equation
(-2/3)t = -1 <----- Add 2 to both sides
t = 3/2 <----- Divide both sides by -2/3
You can check this value by plugging it into "t" and determining whether both sides of the equations will be equal.
(-2/3)t - 2 = -3 <----- Original equation
(-2/3)(3/2) - 2 = -3 <----- Plug 3/2 into "t"
-6/6 - 2 = -3 <----- Multiply -2/3 and 3/2
-1 - 2 = -3 <----- Simplify -6/6
-3 = -3 <----- Subtract
Answer:
y = 2*x^2 - 2*x - 24
Step-by-step explanation:
If we have a quadratic function with roots a and b, we can write the equation for that function as:
y = f(x) = A*(x - a)*(x - b)
Where A is the leading coefficient.
In this case, we know that the roots are: 4 and -3
Then the function will be something like:
f(x) = A*(x - 4)*(x - (-3) )
f(x) = A*(x - 4)*(x + 3)
Now we need to determine the value of A.
We also know that the graph of the function passes through the point (3, -12)
This means that:
f(3) = -12
Then:
-12 = A*(3 - 4)*(3 + 3)
-12 = A*(-1)*(6)
-12 = A*(-6)
-12/-6 = A
2 = A
Then the equation is:
y = f(x) = 2*(x - 4)*(x + 3)
Now we need to write this in standard form, so we just need to expand the equation:
y = f(x) = 2*(x^2 + x*3 - x*4 - 4*3)
y = f(x) = 2*(x^2 - x - 12)
y = f(x) = 2*x^2 - 2*x - 24
Then the relation is:
y = 2*x^2 - 2*x - 24
Since your scale is 1ft:1.26cm, a 30-ft tall school would need to have a
cm model. Dividing this by how tall each toothpick is, you'll get:
ANSWER: The model would be 6 toothpicks tall.
To find out how many cotton swabs you'll need, we just divide 37.8 by how tall each swab is:
ANSWER: The model would be 5 cotton swabs tall.
Answer:
x3+7x-3
Step-by-step explanation:
