Answer:
f(-2) = 11
Step-by-step explanation:
Hello!
We can evaluate y by plugging in -2 for x in the equation.
<h3>Evaluate</h3>
- f(x) = 8|x| - 5
- f(-2) = 8|-2| - 5
- f(-2) = 8(2) - 5 Remember that absolute value turns the number positive
- f(-2) = 16 - 5
- f(-2) = 11
The evaluated value is 11.
Answer:
Smaller number: 12
Greater number: 31
Step-by-step explanation:
Hi there!
Let x equal to the smaller number.
Let y be equal to the greater number.
<u>1) Translate the information into equations</u>
"One is 7 more than twice the other"
⇒ 
"The sum of the numbers is 43"
⇒ 
<u>2) Use substitution to solve for the smaller number</u>
Plug the equation into the above equation
Subtract both sides by 7
Divide both sides by 3 to isolate x
Therefore, the smaller number equates to 12.
<u>3) Use substitution to solve for the greater number</u>
Plug in x as 12
Subtract both sides by 12 to isolate y
Therefore, the greater number equates to 31.
I hope this helps!
Answer:
Solve for y in the second equation
Step-by-step explanation:
We assume your system is ...
Dividing <em>the </em><em>second equation</em> by 3 gives ...
-3x +y = 1
so an expression for y without fractions can be found by <em>solving for y</em>, that is, by adding 3x:
y = 3x +1
_____
<em>Comment on alternate solution</em>
We'd be tempted to solve the first equation for -9x and substitute for that.
-9x = 10 -4y
(10 -4y) +3y = 3 . . . . . substitute for -9x
-y = -7 . . . . . . . . . . . . . simplify, subtract 10
y = 7 . . . . . . . . . . . . . . multiply by -1
Answer:
Angle LKM is 110
Step-by-step explanation:
Since all the angles in a triangle equal 180, and 60 is one angle you can see its an equilaterial triangle.
so x=60
Then 3(60)-70=110
So LKM=110
