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bekas [8.4K]
3 years ago
5

Graph y=-1/2x^2-1. Identify the vertex of the graph. tell whether it is a minimum or maximum. (To clarify, 1/2 is a fraction *x^

2)
1. (-1,0);minimum
2.(-1,0);maximum
3.(0,1);maximum
4.(0,-1);minimum
Mathematics
1 answer:
ahrayia [7]3 years ago
5 0
y= -\frac{1}{2} x^{2}-1 is a quadratic function, so its graph is a parabola.

Notice that the coefficient of x is 0, this always means that the axis of symmetry is the y-axis.

That is, the vertex of the parabola is in the y-axis, so the x-coordinate of the vertex is 0.

for x=0, y=-1. So the vertex is (0, -1)

The coefficient of x^{2} is negative. This means that the parabola opens downwards, so the vertex is a maximum.


Answer: (0, -1) , maximum (none of the choices)
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Two fair dice are rolled at the same time. What is the probability that one die will show 3 and the other will show 4? A. 1/36
Olin [163]

Answer:

1/36

Step-by-step explanation:

There are 6 numbers on a die. You have a 1/6 chance of rolling a 3 and a 1/6 chance of rolling a 4. 1/6 times 1/6 = 1/36.

5 0
3 years ago
NEED HELP QUICK PLEASE !!
xxMikexx [17]

Answer:

you have already choose correct  one's

BC=DC

Step-by-step explanation:

6 0
3 years ago
Given the following 2 equations, state whether these equations are parallel, perpendicular, or neither.
stiks02 [169]

Answer:

Neither

Explanation:

The slope-intercept form of the equation of a line is generally given as;

y=mx+b

where m = the slope of the line

b = the y-intercept of the line

Two lines are said to be parallel if they have the same slope. Looking at the two given equations below, we see that the slope of the 1st one, 5/7, is different from the slope of the 2nd one, 7/5;

\begin{gathered} y=\frac{5}{7}x+14 \\ y=\frac{7}{5}x-20 \end{gathered}

Two lines are said to be perpendicular if their slopes are negative reciprocals of each other, let's go ahead and compare their slopes;

\begin{gathered} m_1=\frac{5}{7} \\ m_2=\frac{7}{5} \\ \therefore m_2=\frac{1}{m_1_{}} \end{gathered}

So the two lines are not perpendicular to each other. It, therefore, means that the correct answer will be Neither.

3 0
1 year ago
Choose all the graphs that are best for displaying numerical data.
valina [46]

bar graph, line graph, scatter plot, box and whisker plot a circle graph, and a histogram.

3 0
3 years ago
Read 2 more answers
How do I solve 4/9+9/2 and write my answer as a mixed number?
jenyasd209 [6]

9 has factors of 3*3.

2 is prime, so no factors.

from those two denominators, we can get the LCD of hmmm simply their product, namely 18.

\bf \cfrac{4}{9}+\cfrac{9}{2}\implies \stackrel{\textit{using the LCD of 18}}{\cfrac{(2)4+(9)9}{18}}\implies \cfrac{8+81}{18}\implies \cfrac{89}{18}\implies 4\frac{17}{18}

now, recall that, to get the mixed fraction, we divide 89 ÷ 18, the quotient goes up front, the "4", and the remainder is the one atop, the "17".

8 0
4 years ago
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