Answer:
<em>m</em> = -2
General Formulas and Concepts:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step-by-step explanation:
<u>Step 1: Define function</u>
y = -2x + 5
<u>Step 2: Break function</u>
Slope <em>m</em> = -2
y-intercept (0, 5)
With the first one, you just plug the numbers inside the parentheses into f(x). Therefore:
f(-2)=40
f(-1)=18
f(0)=8
f(1)=10
f(2)=24
For the second one, you look at the table and find where x=1. The number there is 24, so therefore, f(1)=24
Answer:
her supply has 18 pounds
Explanation:
Assume that the number of pounds in her supply is x.
We are given that:
She uses 1/3 x in salted mix and 2/9 x in unsalted mix.
This means that:
Total amount used = 1/3 x + 2/9 x = 5/9 x of her supply
Now, we are also given that:
She used 10 pounds of her supply.
This means that:
5/9 x = 10
5x = 9*10 = 90
x = 18 pounds
Hope this helps :)
Answer:
-1.2
Step-by-step explanation:
3n + 5 = 1/2(11n + 16)
3n + 5 = 5.5n + 8
5 = 2.5n + 8
-3 = 2.5n
-3/2.5 = n
-1.2 = n
Hope this helps!
9514 1404 393
Answer:
3a by 4a
Step-by-step explanation:
For dimensions L and W, the area and perimeter are ...
A = LW = 12a^2
P = 2(L+W) = 14a
Using the second equation, we can find L:
L +W = 7a . . . . . divide by 2
L = 7a -W
Substituting into the area formula gives the quadratic ...
(7a -W)(W) = 12a^2
W^2 -7aW +12a^2 = 0 . . . . arrange in standard form
(W -3a)(W -4a) = 0 . . . . . . . factor (find factors of 12 that total 7)
Then we have the two solutions ...
W = 3a, L = 4a
W = 4a, L = 3a
The rectangle dimensions are 3a by 4a.
