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Naddik [55]
3 years ago
6

Predict what the graph of the following quadratic function will look like. (If you have a graphing calculator, you can use it to

verify
your prediction.)
y = 2x + 6
a. w-shaped; y-intercept (0,6); symmetrical with respect to the y-axis
b. o-shaped; y-intercept (0,6); symmetrical with respect to the y-axis
U-shaped; y-intercept (6, 0); assymmetrical with respect to the y-axis
n-shaped; y-intercept (0,6); assymmetrical with respect to the y-axi
Mathematics
1 answer:
Alex17521 [72]3 years ago
3 0

Answer:

u-shaped; y-intercept (0,6); symmetrical with respect to the y-axis

Step-by-step explanation:

Given that y = 2x² + 6

The graph would be the shape of that of a parabola. It can be u shaped or n shaped depending on the value of the coefficient of a comparing with the standard equation y = ax² + bx + c. If a > 0, it is u shape and if a < 0, it is n shape.

For this question, since a > 0 it would be u shaped and the intercept can be gotten by putting x = 0.

Therefore y = 0² + 6 = 0

The intercept is at (0,6) and is symmetrical with respect to the y-axis

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Anna [14]

Answer:

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Step-by-step explanation:

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4 0
2 years ago
My car gets 27 miles per gallon, and gasoline costs $2.50 per gallon. If we consider only the cost of gasoline, how much does it
Andrew [12]

Answer:

$71.50

  • Step-by-step explanation:
  • 27 times 2.50 equals 71.50

5 0
3 years ago
Determine if the given ordered pair is a solution to the equation. Show work full.
sleet_krkn [62]

Answer:

The ordered pair is not a solution of the equation

Step-by-step explanation:

we know that

If a ordered pair is a solution of a linear equation, then the ordered pair must satisfy the linear equation

we have

y=-3x-13

Substitute the value of x and the value of y of the given ordered pair in the linear equation and analyze the results

For x=-1, y=15

15=-3(-1)-13

15=3-13

15=-10 ----> is not true

so

the ordered pair not satisfy the equation

therefore

The ordered pair is not a solution of the equation

5 0
3 years ago
N+7&lt; -3 <br> Solve this inequality
Mice21 [21]
n+7\ \textless \  -3 \\ \\ n \ \textless \  -3 - 7 \\ \\ n \ \textless \  -10 \\ \\

The final result is: n < -10.
7 0
3 years ago
Read 2 more answers
5.3.4 Journal: Two-Variable Systems Elimination <br><br> I need urgent help
max2010maxim [7]

Answer:

1) X stands for individual acts and y,  group acts. 2) Each scenario describes a different period in minutes, but each one respecting their different amounts (individual and group acts). 3) S=\left \{ 5,10 \right \}

Step-by-step explanation:

Completing with what was found:

<em> 1) Here is a summary of the scenario your classmate presented for the talent show:Main show The main show will last two hours and will include twelve individual acts and six group acts.Final show The final show will last 30 minutes and will include the top four individual acts and the top group act.The equations he came up with are: 12x+ 6y= 120, 4x+ y= 30</em>

1. What do x and y represent in this situation?

X stands for individual acts and y,  group acts.

Besides that, In the system of equation, they represent the time for x, and the time for y.

2. Do you agree that your classmate set up the equations correctly? Explain why or why not.

Yes, that's right. Each scenario describes a different period in minutes, but each one respecting their different amounts (individual and group acts). Either for 120 minutes or 30 minutes length. And their sum totalizing the whole period.

3. Solving the system by Elimination

\left\{\begin{matrix}12x+ 6y= 120\\ 4x+ y= 30\end{matrix}\right.\\\left\{\begin{matrix}12x+ 6y= 120\\ 4x+ y= 30\:*(-3)\end{matrix}\right.\\\left\{\begin{matrix}12x+ 6y= 120\\ -12x+ -3y= -90\end{matrix}\right.\\3y=30\Rightarrow y=10\\4x+(10)=30\Rightarrow 4x=20\Rightarrow x=5\\S=\left \{ 5,10 \right \}

8 0
3 years ago
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