ANSWER
EXPLANATION
The given exponential equation is
The greatest common factor of 9 and 27 is 3.
We rewrite the each side of the equation to base 3.
Since the bases are equal, we can equate the exponents.
Expand the parenthesis to get:
Group similar terms
Answer:
r>7
Step-by-step explanation:
Subtract 2.92.9 from both sides
-1.3-2.9>-0.6r−1.3−2.9>−0.6r
Simplify -1.3-2.9−1.3−2.9 to -4.2−4.2
-4.2>-0.6r−4.2>−0.6r
Divide both sides by -0.6−0.6
\frac{-4.2}{-0.6}<r
−0.6
−4.2
<r
Simplify \frac{-4.2}{-0.6}
−0.6 −4.2 to 77
7<r
Switch sides
r>7
Answer:
The cost of a small bag of popcorn is
The cost of a large bag of popcorn is
Step-by-step explanation:
Let
x----> the cost of a small bag of popcorn
y----> the cost of a large bag of popcorn
we know that
----> equation A
----> equation B
Solve the system of equations by graphing
Remember that the solution of the system of equations is the intersection point both graphs
The solution is the point (2.95,4.75)
see the attached figure
therefore
The cost of a small bag of popcorn is
The cost of a large bag of popcorn is
Answer:
b = 3/4
Step-by-step explanation:
Using point slope: y - y1 = m(x - x1).
Substitute your given slope, given point, and subsitute 0 in for x and solve for y since the y intercept is the y value when x = 0.
0.2 = 1/5, so 1/5 * 1/4 = 1/20
Therefore: y - 4/5 = 1/4(0 - 0.2) → y - 4/5 = -1/20 → y = 4/5 - 1/20 → 15/20 → <em>3/4</em>
Answer:
15.79
Step-by-step explanation: