Which set of numbers is included as part of the solution set of the compound inequality

2 answers:

ozzi3 years ago

5 0

All of the numbers in the set must either be less than 6 or greater than 10. They can't be between 6 and 10. The only set that works is {-3, 4.5, 13.6, 19}

emmasim [6.3K]3 years ago

5 0

{–3, 4.5, 13.6, 19}

You might be interested in

Write the equation of the function whose graph is shown. y = (x + )2 +

Deffense [45]

Quadratic form is given in the form
$y= ax^{2}+bx+c$ , where a, b, and c are constants

We substitute the value (8, 12) and (5,3) in turn

$12= a(8)^{2}+b(8)+c$
$12=64a+8b+c$ ... Equation 1

$3=a(5)^{2}+b(5)+c$
$3=25a+5b+c$ ... Equation 2

Equation 1 - Equation 2 gives
$39a+3b=9$ , we call this Equation 3

We also know that (5, 3) is the turning point of the curve, where the value of $x$ is given by $x=- \frac{b}{2a}$
Substitute $x=5$
$5=- \frac{b}{2a}$
$10a=-b$
$b=-10a$ ... Equation 4

Substitute Equation 4 into Equation 3
$39a+3b=9$
$39a+3(-10a)=9$
$39a-30a=9$
$9a=9$
$a=1$

Now we need to work out the value of $b$ and $c$

Substitute $a=1$ back into equation 4
$-10a=b$
$-10(1)=b$
$b=-10$

Substitute $a=1$ and $b=-10$ into either equation 1 or equation 2

$64a+8b+c=12$
$64(1)+8(-10)+c=12$
$64-80+c=12$
$c=12+80-64$
$c=28$

Hence the equation of the quadratic curve is
$y= x^{2} 10x+28$

8 0

3 years ago

Read 2 more answers

Calaveras county in California imposes a 7.25% sales tax on goods purchased in that county. How much tax is imposed on a $56.96

MrRa [10]

The tax is 7.25% of $56.96.

7.25% of $56.96 =

= 7.25% * $56.96

= 0.0725 * $56.96

= $4.1296

The answer rounds to $4.13

4 0

3 years ago

A person has a body fat percent of 15.2% and weighs 185 pounds. How many poundsof his weight is made up of fat? Round your answe

puteri [66]

We can find the 15.2% of 185 pounds by dividing the weight by 15.2% in its decimal form: