MATHEMATICS HIGH SCHOOL

Determine the vertex form of g(x) = x2 + 2x – 1. Which graph represents g(x)? On a coordinate plane, a parabola opens up. It goes through (negative 2, 3), has a vertex at (negative 1, 2), and goes through (0, 3). On a coordinate plane, a parabola opens up. It goes through (negative 1, 2), has a vertex at (1, negative 2), and goes through (3, 2). On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (1, 2), and goes through (2, 3). On a coordinate plane, a parabola opens up. It goes through (negative 3, 2), has a vertex at (negative 1, negative 2), and goes through (1, 2).

Answers

Answer 1

Answer:

The vertex form of the quadratic equation is:

$g(x) = (x + 1)^2 - 2$

And the graph can be seen at the end

How to get the vertex form of the quadratic equation?

For a quadratic equation with leading coefficient a, and with vertex (h, k), the vertex form is:

$y = a*(x - h)^2 + k$

Here we have:

$g(x) = x^2 + 2x - 1$

First, we need to find the vertex. by using the known formula we get:

$h = -2/(2*1) = -1$

To get the value of k, we need to evaluate g(x) in x = -1.

$g(-1) = (-1)^2 + 2*-1 - 1 = 1 - 2 - 1 = -2$

So the vertex is (-1, -2), which means that the vertex form is:

$g(x) = (x + 1)^2 - 2$

And its graph can be seen below.

If you want to learn more about quadratic equations:

brainly.com/question/1214333

#SPJ2

Answer 2

Answer:

Answer:

the last one I think

Step-by-step explanation:

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What is 95% of 120 games?

Answers

the answer to your question is 114

95% of 120 is 144

Show work

100%=120

95%=x

Cross multiply

100x= 95*120

100x=11400

x= 11400/100

x=114

I hope that's help and have a great night !

Mary Stevens earns $6 an hour at her job and is entitled to time-and-a-half for overtime,and double time on holidays. last week she worked 40 hours of regular time, 6/12 hours of overtime and 8 hours of holiday time. how much did she say earn

Answers

You can make an equation with the information given: Earnings = 6 * r + (1.5*6)o + (6*2) h = 6r + 9o + 12h. Where r is the number of regular hours worked, o is the number of overtime hours and h is the number of holiday hours. Now r = 40, o = 6.5, and h = 8. So, Earnings = 6(40) + 9(6.5) + 12(8) = 39405. Answer: $394.5

A die is loaded so that the number 6 comes up three times as often as any other number. what is the probability of rolling a 1 or a 6?

Answers

The probability of rolling a value of 1 or 6 for the unfair die ls 1/2

The probability of an event is given as :

P(event) = Required outcome / Total possible outcomes

Let the probability of other numbers on the die = n

Therefore, Probability of 6 = 3n

The Cummulative probability can be expressed thus since the Cummulative sun must be equal to 1 :

Other values on the die are 5 ; 1, 2, 3, 4, and 5

5n + 3n = 1

8n = 1

n = 1/8

The probability of other numbers = 1/8

Probability of 6 = 3(1/8) = 3/8

Probability of (1 or 6) = P(1) + P(6) = 1/8 + 3/8 = 4/8 = 1/2

Therefore, the probability of obtaining 1 or 6 is 0.5

Learn more :brainly.com/question/18405415

Answer:

1/2.

Step-by-step explanation:

Probability totals must add up to 1.

P = probability.

If P(any number other than 6) = x, then P(6) = 3x, so

3x + 5x = 1

x = 1/8

P(6) = 3/8 and P(not 6) = 1/8

Therefore P(6 or 1) = 3/8 + 1/8 = 1/2 (answer).

What is the solution to the following equation?5(2x − 12) + 21 = 2x + 41

5

8

10

72

Answers

Answer:

The answer is 10

Answer:

Step-by-step explanation:

Solve: 493x = 3432x + 1. a. x = –3 b. x = 1 c. x = 3 d. no solution

Answers

On solving the mentioned equation, the correct answer for value of x will be d. no solution.

We will begin with converting the base to same numbers. As per the fact, 49 is the square of 7 and 323 is the cube of 7. So, the equation will be -

${7²}^(3x) = {7³}^((2x + 1))$