Answer:
The value of x is 20 degrees.
Step-by-step explanation:
The three angles of a triangle must equal 180 degrees.
100 + 40 + 2x = 140 + 2x
180 - 140 = 40 (goal)
2(x) = 40
2(20) = 40
A) 20 degrees
Answer:
On the science test the point ( 0 , 424 ) the intercepts is bigger
Step-by-step explanation:
The relation hours spend vs science test score is
y = 6.5*x + 424
And the relation hours spend vs Maths test score is
y = 7.2*x + 34.7
Making x = 0 ( student does not study at all ) we get:
For science score test woul be
y = 0 + 424
In case of maths
y = 0 + 34.7
That mean student without studying will get better score in science.
The point ( 0 , 424) ( science ) represents the interception with y axis
in Maths case such point is ( 0 . 34.7)
An easier way to think of this problem is just keep adding for each additional hour:
0.5 hours --> $2
1.5 hrs --> $3.75
2.5 hrs --> $5.50
3.5 hrs --> $7.25
and since you can only spend $7, the maximum time is 2.5 hours
Answer:
-13x+10
Step-by-step explanation:
(4x+5)(x-2)
Multiply each term in the first parenthesis by each term in the second (foil)
Step 1: Expand it by writing out each multiplication. I added a picture showing which order to do it. (go in order of green, red, blue, yellow.) (you can remember this as first, outside, inside, last.)
When you expand it'll look like: 4x⋅x+4x⋅-2-5x-5⋅-2
Step 2: Calculate product
4x⋅x+4x⋅-2-5x-5⋅-2 (for the 4x⋅x it would be written like )
+4x⋅-2-5x-5⋅-2
+4x⋅-2-5x-5⋅-2 (4x⋅-2 becomes -8x) (multiply 4x times -2)
-8x-5x-5⋅-2
-8x-5x-5⋅-2 (-5⋅-2 becomes +10) (multiply -5 times -2)
-8x-5x+10
Step 3: collect like terms
-8x-5x+10 (-8x-5x becomes -13x) (-8x times -5x)
-13x+10 is the most simplified so it should be your final answer
Answer:
Assuming data is from population, 0.1
Step-by-step explanation:
