Y= -2+21
This is because the slope needs to be the negative reciprocal of 1/2 so the slope is -2 then you take the point (5,11) and plug that an the -2 into y=m(x)+b and you solve for b. In the end you get 21
Answer:
The jeweler made 11 bracelets and 7 necklaces.
Step-by-step explanation:
Given that a jeweler had a fixed amount of gold to make bracelets and necklaces, and the amount of gold in each bracelet is 6 grams and the amount of gold in each necklace is 16 grams, knowing that the jeweler used 178 grams of gold and made 7 more necklaces than bracelets, to determine a system of equations that could be used to determine the number of bracelets made and the number of necklaces made, the following mathematical reasoning should be considered:
(16 - 6) x 7 = 70
178 - 70 = 108
108/6 = 18
18 - 7 = 11
(11 x 6) + (7 x 16) = X
66 + 112 = X
178 = X
Thus, the jeweler made 11 bracelets and 7 necklaces.
Answer:
a+B=c. x+8=17. x+8-8=17-8.
x=9
They are both periodic functions that look like waves. They both have a period of 2pi and oscillate between 1 and -1.
Answer:
(-5, -30)
Step-by-step explanation:
We start with the equation:
y = 6x
y = -4x - 50
Since both of them are equal to y, we can substitute the 6x into y. So:
6x = -4x - 50
Now we can solve for x. Add 4x to both sides...
6x = -4x - 50
+4x +4x
10x = -50
Now, divide both sides by 10.
<u>10x</u> = <u>-50</u>
10 10
x = -5
So, we now know that x is -5. Now we know this, we can substitute -5 where we see x. It works in both equations, so I will do both.
y = 6(-5)
y = -30
And...
y = -4(-5) - 50
y = 20 - 50
y = -30
As you can see, both equations show that y = -30. To check our work, let's plug in the values.
-30 = 6(-5)
-30 = -30
Also:
-30 = -4(-5) - 50
-30 = -20 - 50
-30 = -30
So, we can see that both of the equations gave us the same answer. So, our answer is x = -5 and y = -30, so the ordered pair is: (-5, -30). Hope this helps you!
