Okay. So, Marianna has 16 yards of fabric. Subtract 2 2/3 from 16, because those are the leftovers. 16 - 2 2/3 is 13 1/3. 13 1/3 / 3 1/3 is 4. Mariana made 4 pieces of 3 1/3 yard fabric. The answer is C: 4.
Answer:
Step-by-step explanation:
x+y=12
x-y=18
Now eliminate the y by adding the two equations together to get
2x=30
x=15
then solve for y.
15+y=12
15-y=18
y= -3
<span>D. Zahra can make more than one triangle with these angle measures.
(Infinite similar triangles)</span>
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.
