Answer:
(x, y) = (-4, -15)
Step-by-step explanation:
Perhaps you want the solution to ...
y = 3/4x -12
y = -4x -31
Equating the two expressions for y gives ...
3/4x -12 = -4x -31
3/4x = -4x -19 . . . . . add 12
3x = -16x -76 . . . . . multiply by 4
19x = -76 . . . . . . . . . add 16x
x = -76/19 = -4 . . . . divide by 19
y = (3/4)(-4) -12 = -15 . . . . use the first equation to find y
The solution to this system of equations is ...
(x, y) = (-4, -15)
Use the substitution method
Answers :
g(x)= -3x+1
a. g(10)= -3(10)+1
Mutiply first = -30
-30+1= -29
<em>g(10)= -29</em>
b. g(-2)= -3(-2)+1
Negative sign and negative sign = positive sign
-3(-2)= 6
6+1= 7
<em>g(-2)= 7</em>
a.
f(x)=x^2+7
f(3)= 3^ 2+7
3*3 because of the exponent. 3*3= 9
9+7= 16
<em>f(3)= 16</em>
d.
f(a)= a^2+7
a*a= a^2
a^2+7
<em>f(a)= a^2+7</em>
Given:
53 gal 1 qt + 12 gal 3 qt + 82 gal 1 qt
To find:
The sum of the given expression.
Solution:
Let us first add gallons:
53 gal + 12 gal + 82 gal = 147 gal
Now, add quarts.
1 qt + 3 qt + 1 qt = 5 qt
We know that,
4 quarts = 1 gallon
So add 1 gallon to 147 gal.
147 gal + 5 qt = 147 gal + 4 qt + 1 qt
= 147 gal + 1 gal + 1 qt
= 148 gal + 1 qt
= 148 gal 1 qt
Therefore, 53 gal 1 qt + 12 gal 3 qt + 82 gal 1 qt = 148 gal 1 qt
Given that the revenue equation is
and the cost equation is
Part A:
At break-even the cost is equal to the revenue.
Thus, the algebraic equation needed to determine when the company will break even is given by
Part B:
The solution to part A is given as follows:
Part C:
<span>The algebraic inequality needed to indicate that the revenue is greater than the cost is given by
Part D:
</span>The solution to part C is given as follows:
Part E:
The answer in part D tells us that the the company will make a profit when the produce more than 5000 cards.
Answer:
1/4
Step-by-step explanation:
rise/run = 2/8
take 2/8 and simplify
2/8 divided by 2
you get 1/4
