I’d make the spinner slices into thirds that are even because there would be an equal chance for each slice to be chosen. If I were to spin the spinner, I would have an equal 33.33% chance that it would land on $3, $5, or -$6. This makes it fair because they would all have an equal chance to be chosen!
The coefficients are the constants -2/3, 3, and -2. You're supposed to multiply these together to get one term with one numerical constant which is the coefficient for the whole expression.
This is just a bunch of multiplications, (-2/3)*x*3*y*(-2)*x, and so the commutative law applies, which says that you can rearrange a multiplication any way you want. So put the numbers together, and the x's together and the y's together.
( (-2/3)*3*(-2) ) * (x^3 * x) * y
I'm also using the associative law, which says that I can put those parentheses in and multiply those groups of things together first. I'll bet you never thought "commutative law" and "associative law" were things that anybody actually used.
To simplify, multiply those things in the parentheses. x^3 * x is x^4. The product of those constants (-2/3), 3 and -2 is one number which is the coefficient. Source(s): Randy P <span> · 8 years ago </span>
The given expression is 3b x 4c
In this 3 and 4 are the coefficients and b and
c are the variables.
When we multiply the coefficients we get:
3 x 4 = 12
And the product of variables is:
b x c = bc<span>
Now multiply the product of coefficients
and product of variables we get:</span>
12 x bc = 12bc
<span>So 12bc is the answer.<span>
</span></span>
Answer:
(4, 3 ) and (1.5, 8 )
Step-by-step explanation:
Given the 2 equations
2x + y = 11 → (1)
xy = 12 → (2)
Rearrange (1) expressing y in terms of x by subtracting 2x from both sides.
y = 11 - 2x → (3)
Substitute y = 11 - 2x into (2
x(11 - 2x) = 12 , that is
11x - 2x² = 12 ( subtract 12 from both sides )
11x - 2x² - 12 = 0
2x² - 11x + 12 = 0 ← in standard form
(x - 4)(2x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = 1.5
Substitute these values into (3) for corresponding values of y
x = 4 : y = 11 - 2(4) = 11 - 8 = 3 ⇒ (4, 3 )
x = 1.5 : y = 11 - 2(1.5) = 11 - 3 = 8 ⇒ (1.5, 8 )
9+10=19 but if this was 2016 I’d say 21