You can use the desmos matrix calculator online! it’s a lot of help
For this case what we must do is find the unit rate of grams of fat for every tablespoon of the powder.
We have then:
Substituting values we have:
Then, rewriting we have:
Answer:
There are 
grams of fat are there for every tablespoon of the powder
-12x² + 11x - 3 = 0
x = <u>-(11) +/- √((11)² - 4(-12)(-3))</u>
2(-12)
x = <u>-11 +/- √(121 - 144)</u>
-24
x = <u>-11 +/- √(-23)
</u> -24
x = <u>-11 +/- i√(23)</u>
-24
x = <u>-11 + i√(23</u>) x = <u>-11 - i√(23)</u>
-24 -24
x = ¹¹/₂₄ - 0.0416√(23) x = ¹¹/₂₄ + 0.0416√(23)
<u />
The correct answer is y= 0.513(1.833)^x
Explain
We will use the equation on this form
Y=ab^x
Let’s us plug in the coordinates of first point
(X, y) , ( 9, 120)
We will have
Y=ab^x
120= ab^9
Our equation for a will be
Ab^9 = 120
ab ^9 / b^9 = 120/ b^9
a = 120/ b^9
So will have
Y= 120/ b^9 • b^x
Then we will plug in coordinates for the second point
( x,y) = ( 10, 220)
We will have
Y= 120/b^9 • b^x
220 = 120/b^9 • b^10-9
220= 120b
Divide both side by 120
B= 11/6
B= 1.833333 = 1.833
Let’s plug in the value b=11/6 to our equation for a
A= 120/b^9
A= 120/ 11/6^9
A= 120/11^9/6^9
A=120 • 6^9 / 11^9
= 0.51285 which equal to 0.513
So therefore the answer is
Y= 0.513(1.833)^x
I hope this help you
:D
The answers is going to be 12, -11
