Answer:
4 visits.
Step-by-step explanation:
First make an equation to represent the cost of the museum stuff using the formula y=mx+b
y=5x+11 would be the formula because you pay a flat fee of $11 for the membership and $5 for each visit after (x represents visits, y represents total cost)
Now we need to figure out how many visits a bill of $31 would represent.
We plug in 31 for y because y represents the total cost.
31=5x+11
Now solve for x.
Subtract 11 from both sides: 20=5x
Divide each side by 5: 4=x
Since x=4, it means that a bill of $31 would represent four visits.
Answer:
the length of the edge of a cube with a volume of 125 is 5.
Step-by-step explanation:
So QRS equals to 158 degrees. Therefore, you need to do 8x+8+2x=158. This is so then you can find x. In order to find x, you'll need to combine the 2x and 8x(10x+2=158). Then subtract 2 from both sides(10x=156). Finally divide by 10(x=15.6). In order to find TRS, multiply 15.6 by 2 to get the angle measure. If you want to find QRT, plug 15.6 into the equation(multiply 8 and 15.6 and add 8=132.8)
Answer:
,
Step-by-step explanation:
The function of the graph can be written in the vertex form as
, where V(h,k)=V(2,4) is the vertex of the quadratic function.
We substitute the value to obtain;
,
The point (5,1) lies on the graph so we use it to determine the value of a.
,
,
,

The required equation is
,
Answer: The answer is 
Step-by-step explanation: Given that Leonhard wants to place a triangular based cabinet in the corner of his room which is rectangular in shape.
The base and height of the triangular cabinet are
Therefore, area of the triangular cabinet is given by

Now, the length and breadth of the rectangular room are 30 feet and 20 feet respectively. Therefore, the area of the room is given by

According to the question,

Since the length of something cannot be negative, so the value of 'x' is

because if we take the other value of 'x', the values of (2x+3) and (3x+6) will become negative which is not possible.
Thus, (A) is the correct option.