Answer:
Step-by-step explanation:
For Question 3, we are simply taking an input for the function, as a value of x and solving the equation. For part a, we substitute 3/14 into the first function, and solve it:
f(x) = 7(3/14) + 2
f(x) = 21/14 + 2
f(x) = 49/14
f(x) = 7/2
For part b, we take the input of -3 into the second function and solve the equation:
h(x) = 4(-3)^2
h(x) = 4(9)
h(x) = 36
For Question 4, we are simply solving this equation by isolating the x variable. First, we simplify the equation to 4-5x+15+2x = -2 and simplify this again to -3x+19 = -2. Now, we can subtract 19 from both sides of the equation to get -3x = -21. Lastly, we isolate the x variable by dividing both sides of this equation by -3, to get x = 7.
Answer:
Large avocados should cost $ 1.83 or less to be a good deal.
Step-by-step explanation:
Since there are two types of avocado in the store, some small at $ 0.92 and others larger, to determine at what price large avocados would be a good deal, an equivalence must be established in this regard:
Thus, if two small avocados are equal to one large, buying two small avocados at $ 0.92 the total price would be $ 1.84. Therefore, any large avocado that sells for less than $ 1.84 would be a good deal. Thus, large avocados should cost $ 1.83 or less to be a good deal.
Answer:
Step-by-step explanation:
8 times 6 = 48 (base times high = a rectangle). (A triangle takes half the space)
F. (6*8)/2 =24 square units
B. (2 * 3/2) / 2 = 3/2 = 1.5 square units
G. (4*3)/2 = 6 square units
H. (8/3 *2)/2 = 8/3 = 2.67 square units
Answer:
12π ft², B
Step-by-step explanation:
Area of circle: radius²π
The area of the entire circle would thus be 6²π, or 36π
Note that a circle has a total degree measure of 360°, and the shaded area is 120°. Thus, the area of the shaded region would be 120/360 of the circle's area, or 1/3.
1/3 * total area of the circle = area of the shaded region
1/3 * 36π = 12π
Thus, the answer is 12π ft², or B.
