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aliina [53]
3 years ago
13

Which graph best represents the function y = - 1/2 (x +4)?

Mathematics
1 answer:
Rus_ich [418]3 years ago
8 0

Answer:

y=-1/2x-2

Step-by-step explanation:

simplify the expression to get the equation in slope intercept form, and find the graph that fits it

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What is the vertex of the graph of y = −1(x − 2)2 + 3
Alona [7]

Vertex: \ (2,3)

<h2>Explanation:</h2>

The vertex form of the equation of a parabola is given by the following form:

f(x)=a(x-h)^2+k \\ \\ Where: \\ \\ a:Leading \ Coefficient \\ \\ (h,k):Vertex \ of \ the \ parabola

In this exercise, we have the following equation:

y=-(x-2)^2+3

From here, we can conclude that:

Leading \ coefficient: \ -1 \\ \\ Vertex: \ (2,3)

Since the leading coefficient is less than zero, the parabola open downward. So, the graph is shown below and the vertex has been indicated.

<h2>Learn more:</h2>

Finding leading coefficient: brainly.com/question/1469367

#LearnWithBrainly

7 0
3 years ago
Write an equation in slope-intercept form of the line that bisects the angle formed by BA and BC
slega [8]

Given:

Angled formed by ray BA and ray BC is 90 degrees.

To find:

The equation of line that bisects the angle formed by ray BA and ray BC.

Solution:

If a line bisects the angle formed by ray BA and ray BC, then it must be passes through point B and makes angles of 45 degrees with ray BA and ray BC.

It is possible if the line passes though point B(-1,3) and other point (-2,4).

Equation of line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-3=\dfrac{4-3}{-2-(-1)}(x-(-1))

y-3=\dfrac{1}{-1}(x+1)

y-3=-x-1

Add 3 on both sides.

y=-x-1+3

y=-x+2

Therefore, the required equation of line is y=-x+2.

8 0
3 years ago
You are asked to do a study of shelters for abused and battered women to determine the necessary capacity in your city to provid
ohaa [14]

Answer:

Using the normal probability distribution, with a capacity of 350, it is enough for all abused on 90.82% of nights.

274 shelters will be needed.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 250, \sigma = 75

If the city’s shelters have a capacity of 350, will that be enough places for abused women on 95% of all nights?

What is the percentile of 350?

This is the pvalue of Z when X = 350.

Z = \frac{X - \mu}{\sigma}

Z = \frac{250 - 150}{75}

Z = 1.33

Z = 1.33 has a pvalue of 0.9082.

Using the normal probability distribution, with a capacity of 350, it is enough for all abused on 90.82% of nights.

If not, what number of shelter openings will be needed?

The 95th percentile, which is X when Z = 1.645. So

Z = \frac{X - \mu}{\sigma}

1.645 = \frac{X - 150}{75}

X - 150 = 1.645*75

X = 274

274 shelters will be needed.

5 0
2 years ago
A bag contains 14 gray, 7 black and 10 white marbles. A marble is drawn at random. What is the theoretical probability, as a dec
Dahasolnce [82]
The probability of drawing a black marble is 7/31 or .226 or 22.581%. To find the probability of these type of questions, add all together to get 31, then since there are 7 black marbles the probability would be 7/31.
6 0
1 year ago
Lines l and m are parallel lines cut by the transversal line t. Which angle is congruent to ∠7?
pav-90 [236]

Answer:

<3, <2 or <6

Step-by-step explanation:

6 0
2 years ago
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