Answer:
2/3
Step-by-step explanation:
Given : A geometric sequence : 18, 12, 8, 16/3,…
Solution :
Each term is found by multiplying the previous term by a constant in a Geometric Sequence .
In a Geometric Sequence common ratio is denoted by r
for n = 2
⇒
⇒
for n = 3
⇒
⇒
⇒
Thus the common ratio 'r' = 2/3
Answer: B. Graph of 2 lines that intersect at one point. Both lines are solid. One line passes through (-2,2) and (0,3) and is shaded below the line.
y < = 1/2x + 3...(-2,2) y < = 1/2x + 3....(0,3)
2 < = 1/2(-2) + 3 3 < = 1/2(0) + 3
2 < = -1 + 3 3 < = 0 + 3
2 < = 2 (correct) 3 < = 3 (correct)
The other line passes through points (0,1) and (1,-2) and is shaded above the line.
y > = -3x + 1...(0,1) y > = -3x + 1...(1,-2)
1 > = -3(0) + 1 -2 > = -3(1) + 1
1 > = 0 + 1 -2 > = -3 + 1
1 > = 1 (correct) -2 > = -2 (correct)
Answer:
or 
(they're the same)
Step-by-step explanation:
- Simplify:
- Find a common denominator. The LCM of 6 and 5 is 30, so multiply the numerator and the denominator by the same thing: 6 × 5 = 30, -9 × 5 = -45, 5 × 6 = 30, 3 × 6 = 18
- Write the new fractions:
- Subtract: -45/30 - 18/30 =
I hope this helps!
Answer:
The price per pound of bananas is $0.5 and the price per pound of apples is $0.6
Step-by-step explanation:
Let
x -----> the price per pound of bananas
y -----> the price per pound of apples
we know that
12x+10y=12 -----> equation A
8x+5y=7 ----> equation B
Solve the system of equations by graphing
Remember that the solution is the intersection point both graphs
The intersection point is (0.5,0.6)
see the attached figure
therefore
The price per pound of bananas is $0.5
The price per pound of apples is $0.6
Answer:
The slope of this line is -4
Step-by-step explanation:
To find the slope, you need to solve the equation for y.
4x + y = -9
y = -4x - 9
The slope in this form is always the coefficient of x, making it -4.
