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3 years ago

Consider the function f(x) = x2 + 12x + 11. x-intercepts?

Mathematics

2 answers:

IrinaK [193]3 years ago

8 0

The x-intercepts of this function are -11 and -1.

The easiest way to find the intercepts of this graph is by factoring. To factor a quadratic, we look for factors of the last number, that add up to the middle number. Below are the factors of the last number.

1 and 11

-1 and -11

Now we look for one that adds up to positive 12.

1 and 11

-1 and -11

Since these two add up to the middle number, we can use them in parenthesis with x + and factor. If there was not a pair, we would then have to use the quadratic equation.

f(x) = (x + 1)(x + 11)

Now to solve for the x-intercepts, we set each parenthesis equal to 0 and solve for x.

x + 1 = 0

x = -1

x + 11 = 0

x = -11

Nitella [24]3 years ago

6 0

Answer:

x intercept: (-1,0) & (-11,0)

y intercept: (0,11)

Step-by-step explanation:

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Answer:

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3 years ago

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Step-by-step explanation:

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3 years ago

Someone pls help! <br> write the expression in radical form. 2 4/5

kipiarov [429]

Answer:

$\sqrt[5]{2^4}$

Step-by-step explanation:

Maybe you want 2^(4/5) in radical form.

The denominator of the fractional power is the index of the root. Either the inside or the outside can be raised to the power of the numerator.

$2^{\frac{4}{5}}=\boxed{\sqrt[5]{2^4}=(\sqrt[5]{2})^4}$

In many cases, it is preferred to keep the power inside the radical symbol.

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3 years ago

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dangina [55]

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Step-by-step explanation:

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3 years ago

This cuboid is made from 6 small cubes.<br> Write how many small cubes there are in this cuboid

Alexxx [7]

Answer:

30 cubes

Step-by-step explanation:

To find the number of small cubes in the larger cuboid, you can multiply the number of cubes that make up the length, width and height together.

There are 5 cubes along the bottom, 2 along the side and 3 going up. The volume would be 5 × 2 × 3 which is 30 cubes.

Hope this helps!

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2 years ago