Theo is using the Quadratic Formula to solve a quadratic equation. Which of the following is the next step for simplifying

x=−4±4√6/2

Answer: look at the picture

Step-by-step explanation:

Removing the denominator by dividing both the numerator's terms by 2 is the needed next step for simplification. The result is: x=−2±2√6

Suppose the given quadratic equation is

[tex]ax^2 + bx + c = 0[/tex]

Then its solutions are given as

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

Here, we're given the expression:

[tex]x = \dfrac{-4 \pm 4\sqrt{6}}{2}[/tex]

The next step to simplify is to make it look more simple.

[tex]x = \dfrac{-4}{2} \pm \dfrac{4\sqrt{6}}{2}\\\\x = -2 \pm 2\sqrt{6}[/tex]

Thus, removing the denominator by dividing both the numerator's terms by 2 is the needed next step for simplification. The result is: x=−2±2√6

Learn more about quadratic equations here:

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An official for a national dog show studies the characteristics of one breed of dog, the Dandie Dinmont Terrier. Two common measurements are the height and weight of the dog, and the official would like to develop a model that would be helpful in predicting weight based on a given height. The official first makes a scatterplot that relates height and weight, then another that compares the logs of each measurement.

A graph titled Dandie Dinmont Terrier height versus weight has height (inches) on the x-axis, and weight (pounds) on the y-axis. The points curve up.



A graph titled Dandie Dinmont Terrier log height versus log weight has log (height) on the x-axis, and log (weight) on the y-axis. The points curve up.

Based on the graphs, which type of model is likely appropriate for predicting weight from height?

A linear model is appropriate because the graph of the transformed data is roughly linear.
A power model is appropriate because the scatterplot of height versus weight appears curved.
A power model could be appropriate because the scatterplot of log height versus log weight is roughly linear. The next step is to look at the residual plot.
An exponential model is appropriate because the scatterplot of log height versus log weight has a stronger linear relationship than the scatterplot of the non-transformed data.

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You are on a fishing boat that leaves its pier and heads east. After traveling for 24 ​miles, there is a report warning of rough seas directly south. The captain turns the boat and follows a bearing of S45​°W for 13.4 miles.

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In this activity, you’ll solve this inequality to find the minimum ticket price Amy should charge to meet her minimum revenue goal.

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Step 6: What’s the minimum ticket price that Amy can charge and reach her goal? Recall that the ticket price is represented by 25 + 2x, where x represents the number of $2 increases.

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