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san4es73 [151]
2 years ago
8

The graph of the function f(x) = −3x2 − 3x + 6 is shown. Which statements describe the graph? Select three options.

Mathematics
1 answer:
Afina-wow [57]2 years ago
8 0
<h3>The domain is all real numbers.</h3>

<h3>On the coordinate plane, the parabola opens down, passes through (-2,0), has a vertex at (0.5,6.75) and goes through (1,0)</h3>

<h3>The vertex is its maximum value.</h3>

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Use the function f(x) to answer the questions: f(x) = 2x2 − x − 10
Sidana [21]

Answer:

A. x = -2, 5/2

B. Minimum

Vertex: (1/4, -81/8)

C. Draw a concave up graph connecting the x-intercepts, vertex and the y-intercept

Step-by-step explanation:

f(x) = 2x² - x - 10

2x² - x - 10 = 0

2x² - 5x + 4x - 10 = 0

x(2x - 5) + 2(2x - 5) = 0

(x + 2)(2x - 5) = 0

x = -2, 5/2

Vertex: (h,k)

h = midpoint of the x-intercepts (due to symmetry)

h = (-2 + 5/2) = 1/4

k = f(1/4)

k = 2(1/4)² - 1/4 - 10 = -81/8

Vertex: (1/4, -81/8)

y-intercept: when x = 0

2(0)² - 0 - 10 = -10

Draw a concave up quadratic connecting thr following points:

(-2,0)

(0,-10)

(1/4,-81/4)

(5/2,0)

6 0
3 years ago
Which angles are alternate interior angles?
kirza4 [7]
The answer is angle VUR and QUR.
Hope this helps
3 0
3 years ago
Read 2 more answers
8. What is the sum of the exterior angles of
PolarNik [594]

Answer:

D. 1080°

Step-by-step explanation:

Sum=(n-2)x180°

(8-2)x180°

6x180°

1080°

Hope it helps ❤

6 0
3 years ago
Read 2 more answers
Help me please....
KIM [24]

Answer:

car a-50 kilos per hour

car b-55 kilos per hour

car b is faster

Step-by-step explanation:

150/3=50

220/4=55

3 0
3 years ago
How do you do question b?
notsponge [240]

Part (b)

We use the result of part (a) and plug in (x,y) = (0,0). This is directly from the initial condition y(0) = 0.

\arcsin(4y) = x^2 + C\\\\\arcsin(4*0) = (0)^2 + C\\\\\arcsin(0) = C\\\\0 = C\\\\C = 0\\\\

-----------------

This means,

\arcsin(4y) = x^2 + C\\\\\arcsin(4y) = x^2 + 0\\\\\arcsin(4y) = x^2\\\\4y = \sin(x^2)\\\\y = \frac{1}{4}\sin(x^2)\\\\

is the solution with the initial condition y(0) = 0.

6 0
3 years ago
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