**Answer:**

the absolute value of -5 is 5, and the absolute value of 5 is also 5. ∣ a + b i ∣ = a 2 + b 2 . |a+bi| = \sqrt{a^2 +b^2}

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The **intercepts** and the **standard form** of each polynomial are listed below:

**x-Intercept: **x = - 4 or x = 6, **Standard form: **f(x) = x² - 2 · x - 24, **y-Intercept: **f(0) = - 24**x-Intercept: **x = 1 / 4 or x = 3, **Standard form:** f(x) = 2 · x² - 10 · x + 12, **y-Intercept:** f(0) = 12

<h3>How to find the intercepts and the standard form of quadratic equations</h3>

In this case we need to find the **intercepts** of each **quadratic equation** and transform each **quadratic equation** into **standard form**. The x-**intercept** correspond with each of the **roots** of the **polynomial** and the y-**intercept** is found by evaluating the expression at x = 0.

Now we proceed to find each **element**:

**Case 1**

**x-Intercept**

x = - 4 or x = 6

**Standard form**

f(x) = (x + 4) · (x - 6)

f(x) = x² - 2 · x - 24

**y-Intercept**

f(0) = - 24

**Case 2**

**x-Intercept**

x = 1 / 4 or x = 3

**Standard form**

f(x) = (2 · x - 4) · (x - 3)

f(x) = 2 · (x - 2) · (x - 3)

f(x) = 2 · (x² - 5 · x + 6)

f(x) = 2 · x² - 10 · x + 12

**y-Intercept**

f(0) = 12

To learn more on **quadratic equations**: brainly.com/question/1863222

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**Answer:**

k=8/3

**Step-by-step explanation:**

Let's solve your equation step-by-step.

4k+7=7k−1

Step 1: Subtract 7k from both sides.

4k+7−7k=7k−1−7k

−3k+7=−1

Step 2: Subtract 7 from both sides.

−3k+7−7=−1−7

−3k=−8

Step 3: Divide both sides by -3.

−3k

−3

=

−8

−3

k=

8

3

**Answer:**

show pic

**Step-by-step explanation:**

cant see work, attached qork

3÷.075=40

hope this helps!