Answer:
A: 6 triangles with height 10.4 inches each and base 12 inche
B: 62.4 square inches
C: 374.4 square inches
Step-by-step explanation:
Part A: You can form a triangle by connecting E to the top of the segment and connecting the top of the segment to D. Recreating this with each section will create 6 triangles with height 10.4 inches each and base 12 inches.
Part B: The area of a triangle is A = 1/2b*h. Substitute h = 10.4 and b = 12.
A = 1/2*10.4*12 = 62.4
Part C: There are 6 triangles each with area 62.4. So the area of the whole figure will be 6*62.4 = 374.4.
Answer: $8.60
Step-by-step explanation:
Let the price of a bread = x
Let the price of a tarts = x - 1
If 3 times the price of a loaf of bread is $29.5 more than half of the price of a box of tarts. This can be represented as:
3 × x = 1/2 × (1 - x) + 29.5
3x = 0.5 - 0.5x + 29.5
3x + 0.5x = 29.5 + 0.5
3.5x = 30
x = 30/3.5
x = 8.6
Answer:
The answer to your question is a) (f°g)(x) = 4x² + 2
b) (f + g)(x) = 4x² + x + 2
c) (f - g)(-3) = -37
Step-by-step explanation:
Data
f(x) = x + 2
g(x) = 4x²
a) Calculate (f°g)(x)
Just sum the function
(f°g)(x) = (4x²) + 2
-Simplification
(f°g)(x) = 4x² + 2
b) (f + g)(x)
(f + g)(x) = x + 2 + 4x²
-Simplification
(f + g)(x) = 4x² + x + 2
c) (f - g)(-3)
-Calculate (f - g)(x)
(f - g)(x) = x + 2 - 4x²
-Simplify
(f - g)(x) = -4x² + x + 2
-Evaluate in (-3)
(f - g)(-3) = -(4)(-3)² + (-3) + 2
-Simplification
(f - g)(-3) = -4(9) - 3 + 2
-Result
(f - g)(-3) = -36 - 3 + 2
(f - g)(-3) = -37
Answer:
No, because the interval contains 0.96.
Step-by-step explanation:
edge2021
Times the second equation by 2 to get y=9x-33 and then subtract