Multiply all terms in the first equation by 2 and all terms in the second by 3.
You should obtain:
6x + 16y = 34
-6x + 27y = 9
------------------
43y =43, and so y = 1. Subbing 1 for y in the first eq'n, we get
3x + 8(1) = 17, or 3x = 9, or x = 3.
The solution is (3, 1).
The rule for inscribed angles and their corresponding arcs is that the measure of the angle is one-half that of the arc. Therefore, all we have to do is divide 68/2, which gets us an answer of D. 34.
Hope this helps!
Answer:
Step-by-step explanation:
Firstly,
We can tell by reading the question that they sell 48 cupcakes witch is 4 dozens every hour so if they continue to sell at that same rate then:
There are 8 hours between 9am and 5pm
∴ It is 48:1
That means 48 cupcakes per hour this is equation is a direct proportion so if any number increases so will the other
So if it is 48:1 then x:8 with be = 48x8
∴ Sarah and Jean will be able to sell 384 cupcakes
Answer:
A
Step-by-step explanation:
Given (x + h) is a factor of f(x) then f(- h) = 0
Given
p(x) = x³ - 4x² + ax + 20 , with (x + 1) as a factor then
p(- 1) = (- 1)³ - 4(- 1)² - a + 20 = 0 , that is
- 1 - 4 - a + 20 = 0
15 - a = 0 ( subtract 15 from both sides )
- a = - 15 ( multiply both sides by - 1 )
a = 15 , thus
p(x) = x³ - 4x² + 15x + 20
If p(x) is divided by (x + h) then p(- h) is the remainder, so
p(- 2) = (- 2)³ - 4(- 2)² + 15(- 2) + 20 , that is
- 8 - 16 - 30 + 20 = - 34 → A
