Answer:
409
Step-by-step explanation:
296 = 200 + 90 + 6
The value of the 9 is 90 in 296.
1/10 of 90 is 9. The only number that has a 9 in the units digit is 409.
Y +6 =(1/2)(x+4)
y +6 = 1/2 x +2
y=1/2 x - 4
or 1/2 x -y = 4
Answer:
x = 80
Step-by-step explanation:
Thank you for the clear diagram. We don't always get them.
Argument
There are two kinds of angles associated with a triangle
- Interior angles
- Exterior angles
You have both kinds in this question. The interior angles are the ones that make up the triangle itself. The ones you are concerned about are x and 38°.
The other kind is formed by extending one of the sides. In this question, the value of the exterior angle is 118°.
Rule
The two interior angles NOT connected to the given exterior angle are equal (when added) to the exterior angle.
In plain English what that means is
x + 38 = 118
Solution
x + 38 = 118 Subtract 38 from both sides.
x + 38 - 38 = 118 - 38
x = 80
So x = 80
Lets create both equations and :
f(x) = 5x^2 + 1
linear binomial form: x - 4
according to the remainder theorem, x - 4 is a divisor of f(x) if and only if f(4) = 0
f(4) = 5*16 + 1 = 81
hence x - 4 is not a divisor of f(x)
Answer:

Step-by-step explanation:
Given the information, create the following augmented matrix:
The first order was for 1 tray of club sandwiches, at a cost of $9. The second-order, which cost $69, was for 5 trays of club sandwiches and 4 trays of vegetarian sandwiches.

Into an augmented matrix:

Solve.
Let x be the cost of a tray of club sandwiches.
Let y be the cost of a tray of vegetarian sandwiches.