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3 years ago

What is the Vertex of the graph? options: (1,1) (-1,1) (0,1) (1,0)

Mathematics

1 answer:

ahrayia [7]3 years ago

7 0

Answer:

Step-by-step explanation:

(-1, 1): You can see that a vertical line through x = -1 is the center line (axis of symmetry) of this parabolic graph. The vertex lies 1 unit above the x-axis: y = 1.

You might be interested in

A well-designed experiment should have which of the following characteristics?

igor_vitrenko [27]

Answer:

The answer is E: I, II, and III

Step-by-step explanation:

The three major features of a well designed experiment are:

1. Replication: If an experiment cannot be replicated, then it is not a well-designed experiment. Replication is one of the major characteristics of a well designed experiment

2. Control: A well designed experiment must have a control. Control, in an experiment, can be referred to as the steps taken to curb the impact of extraneous variables

3. Randomization: Subjects are expected to be randomly assigned to different groups.

5 0

3 years ago

An urn contains 5 red balls and 2 green balls. Two balls are drawn one after the other. What is the probability that the second

AleksAgata [21]

Answer:

<em>The probability that the second ball is red is 71%</em>

Step-by-step explanation:

<u>Probabilities</u>

We know there are 5 red balls and 2 green balls. Let's analyze what can happen when two balls are drawn in sequence (no reposition).

The first ball can be red (R) or green (G). The probability that it's red is computed by

$\displaystyle P(R)=\frac{5}{7}$

The probability is's green is computed by

$\displaystyle P(G)=\frac{2}{7}$

If we have drawn a red ball, there are only 4 of them out of 6 in the urn, so the probability to draw a second red ball is

$\displaystyle P(RR)=\frac{5}{7}\cdot \frac{4}{6}=\frac{10}{21}$

If we have drawn a green ball, there are still 5 red balls out of 6 in the urn, so the probability to draw a red ball now is

$\displaystyle P(GR)=\frac{2}{7}\cdot \frac{5}{6}=\frac{5}{21}$

The total probability of the second ball being red is

$\displaystyle P(XR)=\frac{10}{21}+\frac{5}{21}=\frac{5}{7}=0.71$

The probability that the second ball is red is 71%

7 0

3 years ago

Solve the system of equations 5x+9y+9z=5 4x+9y+6z=10 2x+2y+5z=9

erma4kov [3.2K]

Answer:

{x,y,z} = {-116,28,37}

Step-by-step explanation:

// Solve equation [3] for the variable z

[3] 5z = -2x - 2y + 9

[3] z = -2x/5 - 2y/5 + 9/5

__________________________________________________________

// Plug this in for variable z in equation [1]

[1] 5x + 9y + 9•(-2x/5-2y/5+9/5) = 5

[1] 7x/5 + 27y/5 = -56/5

[1] 7x + 27y = -56

__________________________________________________________

// Plug this in for variable z in equation [2]

[2] 4x + 9y + 6•(-2x/5-2y/5+9/5) = 10

[2] 8x/5 + 33y/5 = -4/5

[2] 8x + 33y = -4

__________________________________________________________

// Solve equation [2] for the variable y

[2] 33y = -8x - 4

[2] y = -8x/33 - 4/33

__________________________________________________________

// Plug this in for variable y in equation [1]

[1] 7x + 27•(-8x/33-4/33) = -56

[1] 5x/11 = -580/11

[1] 5x = -580

__________________________________________________________

// Solve equation [1] for the variable x

[1] 5x = - 580

[1] x = - 116

__________________________________________________________

// By now we know this much :

x = -116

y = -8x/33-4/33

z = -2x/5-2y/5+9/5

__________________________________________________________

// Use the x value to solve for y

y = -(8/33)(-116)-4/33 = 28

__________________________________________________________

// Use the x and y values to solve for z

z = -(2/5)(-116)-(2/5)(28)+9/5 = 37

╦────────────────────────────╦

│Hope this helped _____________________│

│~Derelis ____________________________ │

╨___________________________________╨

4 0

3 years ago

9. Find (f.g)(a) if f(a) = . and g(a) = 2². Fully simplify your answer.

Aleks04 [339]

D is your answer ....

8 0

3 years ago

Simplify the expression 7h + (-8.1d) - 17 +5d - 3.7h.

Svetradugi [14.3K]

Answer:

3.3h-3.1d-17

Step-by-step explanation:

8 0

3 years ago