Answer:
429.42 cm
Step-by-step explanation:
<u>Volume of a rectangle prism:</u>
V = whl
V = (5)(12)(7)
V = 420
<u>Volume of a cylinder:</u>
V = πr²h
V = (3.14)(1²)(3)
V = (3.14)(1)(3)
V = 9.42
<u>Combined:</u>
420 + 9.42
429.42
R equals approximately 4/5
Answer:
D is false
Step-by-step explanation:
f(x) = -2x2 + 4x + 6 should be written with a " ^ " to indicate exponentiation:
f(x) = -2x^2 + 4x + 6.
Because of the - sign, we know that the graph of this function opens down, so there is a maximum at the vertex. We can determine the x-value at the vertex by using the formula x = -b/(2a), which here is x = -4/(2*-2), or 1.
Evaluating f(x) = -2x^2 + 4x + 6 at x = 1, we get -2 + 4 + 6, or 8. So statement A is true: there's a max at (1, 8). This is also the vertex of the graph.
Let's now look at C and D. We evaluate f(x) at x = 3 and x - 2. If the output (y) value is 0, we know we have an x - intercept:
f(3) = -2(9) + 4(3) + 6 = 0. Yes, C is true, (3, 0) is an x-intercept.
f(-2) = -2(4) - 8 + 6 is not 0. Therefore D is false; (-2, 0) is not an x-intercept.
Look at B: Let x = 0 and find y: it's 6. Thus, (0, 6) is the y-intercept. B is true.
Answer:
16
Step-by-step explanation:
Let the number be X
3/4 of X = 15
Multiplying out gives;
3X = 4x15
3X= 60
X = 20
Therefore, 4/5 of 20
Putting X = 20 we have;
4/5 x 20 = 16.
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16-3/4= 15.25
