9514 1404 393
Answer:
C. 31
Step-by-step explanation:
The recursive definition tells us the 4th term is 22 and the common difference is -3. This lets us write an explicit formula for the n-th term:
f(n) = f(4) +d(n -4)
f(n) = 22 -3(n -4) = 34 -3n
Substituting n=1 into this formula, we get ...
f(1) = 34 -3(1) = 31
The first term is f(1) = 31.
Answer:
Step-by-step explanation:
11x + 14 < -8
The arrow indicates that 11x + 14 is less in value than -8, so the arrow above the graphs would have to go to the left. So you can immediately eliminate A and B.
Your answer is probably gonna be C.
Answer:
-2/3
Step-by-step explanation:
-2/3= -.066666667
-3/5= -0.6
3/10= 0.3
11/20= 0.55
Answer:
$39.36
Step-by-step explanation:
The first sale we saw, which was 20% off, needs to be applied first as the second discount is additional. With that being said, we need to multiply 82 times 80%. This is because we removed 20% of the standard 100% amount and we are left with 80%. To convert this, keep in mind 100% is equal to 1. So 80% is equal to .80 with this logic. So 82x0.8=65.6. Now we need to take 40% off of the modified price 65.6. By converting 40% off is equal to 0.60(keyword off). Now 65.6x0.60=39.36. The final price is 39.36
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Answer:
48.5cm²
Step-by-step explanation:
The figure is can be divided into 3 parts:
The square, The rectangle and The triangle
We will be finding the area of each shape.
The square: Area = length * length
Length of square = 3. Area = 3 cm * 3 cm = 9 cm²
The rectangle: Area = length * breadth
Length = 8 cm; Breadth = 4 cm. Area = 8 cm * 4 cm = 32 cm²
The triangle: Area = 0.5 * height * base
Height = 5 cm; Base = 3 cm. Area = 0.5 * 5 * 3 = 7.5 cm²
Base is the shorter side of the triangle that is not the diagonal side (hypotenuse). It is gotten by subtracting the given length of the bottom part of the figure which is 4 cm from the top part of the figure which is 7 cm and it is also the other side of the square that is not given.
Height is the longer side of the triangle that is not the hypotenuse.
It is gotten by subtracting the given length of the right side which is 3 cm from the given length of the left side of the figure which is 8 cm.
Base and height can be used interchangeably.
Adding all the areas together: 9 + 32 + 7.5 = 48.5 cm²