Answer:
3.39 + 0.59x
Step-by-step explanation:
Cost of a dish of ice cream = $3.39
Cost of toppings = $0.59 each
x = number of toppings
which expression can be used to determine the total charge in dollars, for a dish of ice cream with x toppings
Total charge for a dish of ice cream with x toppings = 3.39 + 0.59x
The expression is 3.39 + 0.59x
Smaller Number = X
5x - 23 = Larger Number
X + (5x - 23) = 61
6x - 23 = 61
6x = 84
X = 14
Y=35(0.35) is exponential decay
Answer:
Step-by-step explanation:
Let x = the number of all the species of birds sighted in the park
“300 species of birds that migrate. This accounts for 2/7 of all the species of birds sighted in the park”
the above sentence means “(2/7)x = 300”
now we can solve it :
(2/7)x = 300
⇔ 2x = 7×300
⇔ 2x = 2100
⇔ x = 2100/2
⇔ x = 1050
Answer:
D: -5(-6x^2 + x + 2)
E: 5(2x + 1)(3x − 2)
Step-by-step explanation:
The <em>first two answer choices have incorrect constants</em> (25 and 3 vs -10). A factor of 5 is removed from the remaining answer choices, so let's remove a factor of 5 and see what we get:
30x^2 -5x -10 = 5(6x^2 -x -2)
An additional x cannot be factored from the expression, so <em>choice C can be eliminated</em>.
Multiplying each of these factors by -1 will make the product correspond to answer choice D.
Factoring will make it correspond to answer choice E, best verified by finding the x-term of the product of the binomial factors:
E: 2x(-2) +1(3x) = -x, as required
F: 2x(2) -1(3x) = x, wrong sign
The equivalent expressions are those of choices D and E.
