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2 years ago

Solve the following inequality algebraically. ∣x−5∣≤11

Mathematics

1 answer:

Serga [27]2 years ago

7 0

Answer:

-6 ≤ x ≤ 16

Step-by-step explanation:

First, apply absolute value rule:

x - 5 ≤ 11 and x - 5 ≥ -11

Then, we add 5 on both sides with both inequalities:

x ≤ 16 and x ≥ -6

Finally, combine the inequalities:

-6 ≤ x ≤ 16

And we're done ^^

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3 to the 2nd power plus 2 to the 3rd power

Amanda [17]

Answer:

Step-by-step explanation:

$3^2=3\cdot3=9\\\\2^3=2\cdot2\cdot2=8\\\\3^2+2^3=9+8=17$

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1 year ago

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B) Find the value of a^2 + b^2 when a = 3 and b= -2

Zielflug [23.3K]

Answer:

Step-by-step explanation:

a = 3

b = -2

a² + b² = 3² + (-2)²

= 9 + 4

= 13

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2 years ago

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What is the volume, in cubic centimeters, of a right rectangular prism that has a lenght of 4 centimeters, a width of 9 centimet

Temka [501]

Answer:

The volume of the prism is 360 cm^3.

Step-by-step explanation:

The rectangular prism is a three dimensional figure formed by six rectangular faces. It's volume is given by the product of it's three dimensions. The calculation for the volume of this prism is shown bellow:

volume = width*height*length

volume = 9*10*4

volume = 360 cm^3

The volume of the prism is 360 cm^3.

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2 years ago

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Question 1 (1 point)<br> Which equation can be represented by a graph with a vertex at (1,3)?

madam [21]

Answer:

See explanation

Step-by-step explanation:

You have not provided the options to help us give you a specific answer.

If a quadratic function is written in the form

$f(x) = a {(x - h)}^{2} + k$

Then (h,k) is the vertex, and 'a' is a constant.

For instance

$f(x) = 5 {(x - 1)}^{2} + 3$

has vertex at (2,3).

Also, an absolute function in the form

$g(x) = a |x - h| + k$

has vertex at (h,k).

This means

$g(x) = |x - 1| + 3$

also has vertex at (1,3).

I hope this explanation is helpful.

4 0

3 years ago

Find a polynomial, which, when added to the polynomial 5x2–3x–9, is equivalent to: x2−5x+6

Bess [88]

The required polynomial is: $-4x^2-2x+15$

Step-by-step explanation:

Let P be the polynomial that has to be found

Given

One polynomial = $5x^2-3x-9$

Sum of both polynomials = $x^2-5x+6$

So,

$(5x^2-3x-9) + P = x^2-5x+6\\P = x^2-5x+6 - (5x^2-3x-9)\\P = x^2-5x+6-5x^2+3x+9\\P = x^2-5x^2-5x+3x+6+9\\P = -4x^2-2x+15$

Hence,

The required polynomial is: $-4x^2-2x+15$

Keywords: Polynomials, expressions

Learn more about polynomials at:

#LearnwithBrainly

3 0

3 years ago