Write an equation using this points -2,2,-2

Feliz [49]

The factored form of the expression is (2x-1)(2x+5) and the x-intercept of the function is 1/4 and -5/2 respectively

<h3>Solving quadratic equation</h3>

Quadratic equations are equations that has a leading degree of 2. Given the quadratic equation below;

y = 4x^2 + 8x -5

The x-intercept is the point where the value of y is zero.

Factorize the resulting expression

y = 4x^2 + 8x -5

y = 4x^2 - 2x + 10x -5

y = 2x(2x-1)+5(2x -1)

y = (2x-1)(2x+5)

The factored form of the expression is (2x-1)(2x+5)

Equate the given factors to zero

(2x-1)(2x+5) = 0

Equate the factors to zero

2x - 1 = 0

2x = 1

x = 1/4

Similarly

2x + 5 = 0

2x = -5

x = -5/2

Hence the x-intercept of the function is 1/4 and -5/2 respectively

C) For the end behavior, as the value of x tends to infinity, hence the y-values tends to infinity

D) In order to plot the graph, the x-intercepts of the will be plotted on the graph and then curve will be created.

Learn more on quadratic equation here: brainly.com/question/1214333

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4 0

1 year ago

What is the graph for the above relationship?

Vesna [10]

Second graph.

<h2>Explanation:</h2>

Hello! You haven't provided any relationship, but I found it on the internet and it is the table attached below. The point-slope form of the equation of a line is given by:

$y=mx+b$

So:

$y-Intercept: \\ \\ (0,b) \\ \\ \\ From \ the \ table: \\ \\ (0,b)=(0,46) \\ \\ So: \\ \\ b=46$

Finding the slope:

$m=\frac{39-46}{1-0} \\ \\ m=-7$

So the equation of the line is:

$y=-7x+46$

From the graphs, only option 2 and 4 have negative slope and only option 2 passes through $(0,46)$

Conclusion: Correct option is second graph.

<h2>Learn more:</h2>

Parallel lines: brainly.com/question/12169569

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3 0

3 years ago

Please help me out.....................

larisa86 [58]

Answer:

y = 10

Step-by-step explanation:

The opposite sides of a parallelogram are congruent, hence

x + 10 = 110 - 4x ( add 4x to both sides )

5x + 10 = 110 ( subtract 10 from both sides )

5x = 100 ( divide both sides by 5 )

x = 20

Using the other pair of congruent sides, then

3y - 10 = 2x - 20 = (2 × 20) - 20 = 40 - 20 = 20, thus

3y - 10 = 20 ( add 10 to both sides )

3y = 30 ( divide both sides by 3 )

y = 10

4 0

3 years ago

Please explain your answer.

VashaNatasha [74]

Answer: Step 3

Step-by-step explanation: She was going fine until she divided wrong.

12= 4f Divide both sides by 4 to isolate f

12/4 = f

3 = f

4 * 3 =12

4 0

3 years ago

Braxton has money in a savings account. The equation B = 800(1+0.03)'.

Stels [109]

Answer:

a) Braxton's initial investment is equals to (=) Pam's initial investment.

b)The interest on Braxton's account is less than (< ) the interest on Pam's

account.

Step-by-step explanation:

Given - Braxton has money in a savings account. The equation

B = $800(1 + 0.03)^{t}$ can be used to calculate the amount of money

in dollars, B, Braxton has in his account after t years since opening

the account. Pam also has money in a savings account. The

equation, P= $800(1 + 0.04)^{t}$ can be used to calculate the amount of

money in dollars, P, Pam has in her account after t years since

opening the account.

To find - a) Braxton's initial investment ..........Pam's initial investment.

b) The interest on Braxton's account .....the interest on Pam's

account.

Proof -

As given, Broxton equation is -

Pam equation is -

Now,

a.)

For initial investment , Put t = 0

⇒B = $800(1 + 0.03)^{0} = 800(1) = 800$

P = $800(1 + 0.04)^{0} = 800(1) = 800$

We can see that for t = 0

Initial investment of Braxton = Initial investment of Pam

⇒Braxton's Initial investment = Pam's initial investment.

b.)

For the interest,

As we have not given any time period for which the interest has to be find.

So , let the time period , t = 5 years

Therefore,

B = $800(1 + 0.03)^{5} = 800(1.03)^{5} = 800(1.159) = 927.42$

P = $800(1 + 0.04)^{5} = 800(1.04)^{5} = 800(1.217) = 973.32$

Now,

Interest on Braxton's account = 927.42 - 800 = 127.42 ≈ 127

Interest on Pam's account = 973.32 - 800 = 173.32 ≈ 173

∴ we get

The interest on Braxton's account is less than the interest on Pam's account.

7 0

3 years ago