The answer would be 12 (fixed to your answers)
Answer:
11x^4
Step-by-step explanation:
The double negative automatically makes something positive. Your new expression is 5x^4 + 6x^4.
The only other thing you need to do is combine like terms by adding them together.
11x^4
Answer:
y = x - 5
Step-by-step explanation:
Comparing the given y = x - 7 to y = mx + b, we see that the slope is +1.
In y = x + b we replace y with -11 and x with -6 to determine the y-intercept, b:
-11 = -6 + b
Then b must be -5, and so the desired new equation is
y = x - 5
Annie's Attic does not have a proportional relationship but Bettie's Boutique does. The constant of proportionality at Betty's Boutique is 0.8.
Step-by-step explanation:
Step 1; To have a proportional relationship, if x's value varies, the y's value should also vary. If x increases, y increases correspondingly while if x decreases, y should also decrease.
Step 2; For Annie's Attic, the sale price = Original price - $5.
No matter what the value of the original price, there is only a difference of $5. Even if the price is increased to $100 the discount will only be $5. So this is not a proportional relationship.
Step 3; At Bettie's Boutique, they are having a 20% off sale. Whatever the cost, 20% is reduced. If bought for $15, price is $15 - 20% = $12. If bought for $25, the price will be $25 - 20% = $20.
If the original price is taken as x as the sale price is y, the relationship is given by; y = (100% - 20%) × x = 80% × x = 0.8 × x. So y = 0.8x. Here the constant of proportionality is 0.8.
