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Murljashka [212]
3 years ago
14

On a coordinate plane, a parabola opens up. It goes through (negative 2, 4), has a vertex at (0.25, negative 6), and goes throug

h (2, 0).Which statements about the graph of the function f(x) = 2x2 – x – 6 are true? Select two options. The domain of the function is the set of all values x such that x is greater than or equal to one-quarter. The range of the function is all real numbers. The vertex of the function is (one-quarter, negative 6 and one-eighth). The function has two x-intercepts. The function is increasing over the interval (negative 6 and one-eighth, ∞).
Mathematics
2 answers:
Oksana_A [137]3 years ago
3 0

Answer:

The function has two x-intercepts.

The vertex of the function is (one-quarter, negative 6 and one-eighth).

Step-by-step explanation:

Given that the vertex is located at (0.25, -6)  and the parabola opens up, the function has two x-intercepts.

f(x) = 2x² - x - 6 has the following coefficients:

a = 2

b = -1

c = -6

x-coordinate of the vertex is:

x = -b/(2a)

x = 1/(2*2) = 1/4

y-coordinate of the vertex is:

f(1/4) = 2(1/4)² - 1/4 - 6 = -6 1/8

lana [24]3 years ago
3 0

Answer:

The answers are C ,D

Step-by-step explanation:

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What is an equation of the line that is parallel to y=9−5x and passes through (0, 8) ?
TEA [102]

Answer:

y = -5x Y8  

Step-by-step explanation:

Parallel lines have the same slope.

Your function is

y = 9 − 5x = -5x+ 9

slope = -5

The parallel line

The line must have slope = -5 and include (0, 8), so

8 = -5×(0) + b

8 = 0 + b

b = 8

The equation for the parallel line is

y = -5x + 8

In the diagram below, the red line is the graph of y = 9 -5x.

The parallel blue line is the graph of y = -5x + 8.

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Step-by-step explanation:

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3 years ago
Which is the measure of AB? A. 10 feet B. 15 feet C. 20 feet D. 100 feet
Jobisdone [24]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
If AD and BD are bisectors of CAB and CBA respectively. Find the sum of angles x and y.
olchik [2.2K]
The picture in the attached figure

step 1
we know that
It is given that AD and BD are bisectors of ∠CAB and ∠CBA respectively.
Therefore,
x = ∠CAB/2 -----> equation 1
y = ∠CBA/2 -----> equation 2

step 2
In triangle ABC,
∠CAB + ∠CBA + ∠ACB = 180° ----> [The sum of all three angles of a triangle is 180°]
∠CAB + ∠CBA + 110° = 180°
∠CAB + ∠CBA = 180° - 110°
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