Step-by-step explanation:
(F-g) (X)
= f(x) - g(x)
(2x² + 2 )-(x²-1) =
3x²+3
The answer to this is 10.
Answer:
384 cm²
Step-by-step explanation:
The shape of the figure given in the question above is simply a combined shape of parallelogram and rectangle.
To obtain the area of the figure, we shall determine the area of the parallelogram and rectangle. This can be obtained as follow:
For parallelogram:
Height (H) = 7.5 cm
Base (B) = 24 cm
Area of parallelogram (A₁) =?
A₁ = B × H
A₁ = 24 × 7.5
A₁ = 180 cm²
For rectangle:
Length (L) = 24 cm
Width (W) = 8.5 cm
Area of rectangle (A₂) =?
A₂ = L × W
A₂ = 24 × 8.5
A₂ = 204 cm²
Finally, we shall determine the area of the shape.
Area of parallelogram (A₁) = 180 cm²
Area of rectangle (A₂) = 204 cm²
Area of figure (A)
A = A₁ + A₂
A = 180 + 204
A = 384 cm²
Therefore, the area of the figure is 384 cm²
Answer:
P = 7.14%
The percentage of those 30 years or older that own an ipod is 7.14%
Step-by-step explanation:
Given;
Percentage of ipod owners Pi = 20%
Percentage who don't own ipod Pd = 100-20 = 80%
For age 30 or older;
Percentage of ipod owners who belong to this group
Po = 20% of Pi
Percentage who don't have an ipod but belong to this group Pu = 100-35% = 65% of Pd
The percentage of those 30 years or older that own an ipod is;
P = Po/(Po+Pu) × 100%
Po = 20% of Pi = 20% of 20% = 0.2×20 =4%
Pu = 65% of Pd = 65% of 80% = 0.65×80% = 52%
Substituting the values;
P = 4/(4+52) × 100%
P = 7.14%
Answer:
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Step-by-step explanation:
