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Elina [12.6K]
3 years ago
11

What graph is correct?​

Mathematics
1 answer:
Gekata [30.6K]3 years ago
3 0

Answer:

A

Step-by-step explanation:

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For the function below, state the x-coordinate of the x-intercept that is located to the fight of the origin.
OLga [1]

Answer:

x = 3

Step-by-step explanation:

It should NOT be "fight of the origin", rather "right of the origin".

Now let's move on to solve the question...

The x-intercept is found by setting the function equal to 0. Thus:

0 = x^3 - 9x

<em>Let's solve this using algebra:</em>

<em>0=x^3-9x\\0=x(x^2-9)\\0=x(x-3)(x+3)</em>

<em />

<em>Hence, x = -3 and x = 3</em>

<em />

The coordinate that is to the right of the origin is the positive one, so x = 3 is the x-intercept we are looking for.

3 0
3 years ago
Read 2 more answers
Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3).
weeeeeb [17]

Answer:

\[y = (-1/2) * x + 6\]

Step-by-step explanation:

Equation of the given line: y=2x+2

Hence the slope of the line is given by 2

Any line which is perpendicular to the given line will have a slope m such that m*2 = -1

Or, \[m = \frac{-1}{2}\]

Only options 2 and 3 satisfy this condition.

The line is also supposed to pass through the point (6,3).

Substituting these values in the option 2:

\[3 = (-1/2) * 6 + 3\]

Or, \[ 3 =0 \] which is false . Hence option 2 is not valid.

Now substituting (6,3) in option 3:

\[3 = (-1/2) * 6 + 6\]

Or, \[ 3 =3 \] which is true . Hence option 3 is the required equation of the line.

5 0
3 years ago
W + what - s = w <br> help plz help helppp i want help
grandymaker [24]

Answer: S

Step-by-step explanation:

w + ? - s = w

w + s - s = w

w = w

7 0
3 years ago
I need the solution
shutvik [7]

\dfrac{8c^3}{6(c+d)}\div\dfrac{2c^2}{3c+3d}=\dfrac{4c^3}{3(c+d)}\div\dfrac{2c^2}{3(c+d)}\\\\=\dfrac{4c^3}{3(c+d)}\cdot\dfrac{3(c+d)}{2c^2}=\dfrac{4c^3}{2c^2}=2c

8 0
3 years ago
What is the midpoint of the line segment that has endpoints (3,8) and (1,−4) ?
bezimeni [28]

Answer:

D

Step-by-step explanation:

<em>Midpoint Formula:</em>

\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}

\frac{3+1}{2} ⇒ \frac{4}{2} ⇒ 2

\frac{8+-4}{2} ⇒ \frac{8-4}{2} ⇒ \frac{4}{2} ⇒2

(2,2)

8 0
3 years ago
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