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V125BC [204]
3 years ago
10

BRAINLIEST HELPPPPPO

Mathematics
1 answer:
Zarrin [17]3 years ago
6 0

Question 5

To use the quadratic formula, we need to rewrite the equation so that all the terms are on one side: by subtracting (x+13) from both sides, we get that x^2-x-6=0. The quadratic formula tells us that the roots of this are \frac{-b \pm \sqrt{b^2-4ac}}{2a}, where a=1, b=-1, and c=-6. This is equal to \frac{-(-1)\pm \sqrt{(-1)^2-4(1)(-6)}}{2(1)} = \frac{1 \pm 5}{2}, which gives us the two roots -2 and 3.

Question 7

If you look at the attached graph, you will see that the graph of x^2-x-6 intersects the x-axis at the points (-2,0) and (3,0).

Question 8

The roots are the same. Both finding the x-intercepts and solving for the roots of a quadratic using the quadratic formula will give the values of x for which the function value is zero.

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f(x) = x4 - 50x2 + 3 (a) Find the intervals on which f is increasing. (Enter the interval that contains smaller numbers first.)
shtirl [24]

Answer:

  (-5, 0) ∪ (5, ∞)

Step-by-step explanation:

I find a graph convenient for this purpose. (See below)

__

When you want to find where a function is increasing or decreasing, you want to look at the sign of the derivative. Here, the derivative is ...

  f'(x) = 4x^3 -100x = 4x(x^2 -25) = 4x(x +5)(x -5)

This has zeros at x=-5, x=0, and x=5. The sign of the derivative will be positive when 0 or 2 factors have negative signs. The signs change at the zeros. So, the intervals of f' having a positive sign are (-5, 0) and (5, ∞).

5 0
3 years ago
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Len [333]

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5 0
3 years ago
can anyone help me and show work for this Find the length of the third side. If necessary, write in simplest radical form.
tiny-mole [99]

Answer:

Step-by-step explanation:

Use Pythagorean theorem

Hypotenuse² = base² + altitude²

                      = 9² + 10²

                      = 81 + 100

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5 0
3 years ago
I SPENT 50 POINTS ON THIS, PLEASE HELP
Anestetic [448]

In the figure, we can consider that the base is the side that mesures 12 in and that the height is the side that measures 15 in, since that sides are perpendicular. So, we just need to use the given formula:

A = \dfrac{bh}{2}\Longrightarrow A = \dfrac{12\cdot15}{2}\Longrightarrow A=6\cdot15\Longrightarrow \boxed{A = 90~\text{in}^2}

Hence, the area of the triangle is 90 in² (B).

5 0
3 years ago
Read 2 more answers
PLEEEASE HELP ASAP<br> 1. Simplify the following expression:(5*2)*8
adoni [48]

5*2=25

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Answer: 200

(Using exponent)

6 0
3 years ago
Read 2 more answers
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