9514 1404 393
Answer:
$5
Step-by-step explanation:
Let the variables A, B, C, D represent a sack of apples, a bunch of bananas, a cantaloupe, and a carton of dates, respectively. Then the problem statement gives rise to 3 equations:
A +B +C +D = 20
D = 2A
C = A -B
Substituting the last two equations into the first gives ...
A +B + (A -B) +2A = 20
4A = 20 . . . simplify
A = 5 . . . . . divide by 4
Substituting this into the last equation, we have ...
C = 5 -B
B + C = 5 . . . . add B
The cost to purchase a bunch of bananas and a cantaloupe is $5.
For the first part
5 an hour plus 50
Can you make an equation out of it
Answer:
Step-by-step explanation:
The given quadratic expression is
3x² - 9x + 6
Dividing each term in the expression by 3 in order to simplify it further, it becomes
x² - 3x + 2 = 0
We would determine two numbers such that their sum or difference is -3x and their product is 2x².
The two numbers are - 2x and - x.
Therefore,
x² - 2x - x + 2
x(x - 2) - 1(x - 2)
(x - 1)(x - 2)
When the expression is factored completely, it is equivalent to
(x - 1)(x - 2)
The answer is expressions D, E, and G.
In algebra, a ‘term’ usually means the different parts of an expression that are separated by + and - signs.
Options A and B only have 1 term, an x or y³, so these are incorrect.
Option C has 1 term as well, ‘xyz’, because they are all multiplied together which makes it one term.
D and E both have 3 terms each, but F has 4 unique terms so this is incorrect also.
G has 3 unique terms, x³, x^4, and 7x, so this is correct.
When H is expanded, you will end up with more than 3 unique terms, so this is incorrect.
I hope this helps!
Answer:
y = -2/3x - 13
Step-by-step explanation:
The slope remains the same, but the y-intercept changes to -13
