Answer:
(4, 2 ) and (2, 4 )
Step-by-step explanation:
xy = 8 → (1)
y = - x + 6 → (2)
substitute y = - x + 6 into (1)
x(- x + 6) = 8
- x² + 6x = 8 ( subtract 8 from both sides )
- x² + 6x - 8 = 0 ( multiply through by - 1 )
x² - 6x + 8 = 0 ← in standard form
(x - 4)(x - 2) = 0 ← in factored form
equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x - 2 = 0 ⇒ x = 2
substitute these values into (2) for corresponding values of y
x = 4 : y = - 4 + 6 = 2 ⇒ (4, 2 )
x = 2 : y = - 2 + 6 = 4 ⇒ (2, 4 )
Answer: -6
Step-by-step explanation:
First of all, solve the inequality.
Distribute -5 in the parentheses.
Add 5g and subtract 3 from both sides.
Combine like terms
Divide by 3.
This means that any input (g) has to be greater than 
. If you do not know what is , divide 8 by 3. That is equal to approximately 
. Therefore, g has to be greater than -2.67, this will leave -6 out of the choices.
Answer:
Let x = the unknown cost of a single hot dog and y = the unknown cost of a single soft drink. We have two unknowns so we need two equations to find them.
Equation 1 - 10 hot dogs and 5 soft drinks cost $35; that is 10x + 5y = 35
Equation 2 - 7 hot dogs and 4 soft drinks cost $25.25; that is 7x + 4y = 25.25
First let's re-write equation 1 to solve for y:
10x + 5y = 35
5y = 35 - 10x (subtract 10x from both sides)
y = 7 - 2x (divide both sides by 5)
Next, let's substitute 7 - 2x for y in equation 2:
7x + 4y = 25.25
7x + 4(7-2x) = 25.25
7x + 28 - 8x = 25.25
-x + 28 = 25.25
x - 28 = -25.25
Solve for x, the cost of a single hot dog. Once you have that, use y = 7 - 2x to find the cost of a single soft drink.
Step-by-step explanation:
Hope it helpful
35% of 60 = (35/100)*60 = 0.35 * 60 = 21
30% of 80 = (30/100)*80 = 0.30 * 80 = 24
24 is greater than 21.
30% of 80 is greater.
