Answer:
-1
Step-by-step explanation:
Given,
f(x) = -x² + 4x - 1 and x = 0
Putting the value of x we get,
f(0)=
+ (4 X 0) - 1
= -0+0-1
=-1
∴f(x)= -1
So, the required value is -1
Answer:
length: 12 ft
area: 72 square feet
Step-by-step explanation:
Let L represent the length of the mat in feet. Then L/2 is the width and the perimeter is ...
P = 36 = 2(L +L/2) = 3L . . . . . substitute the given information and simplify
12 = L . . . . . . divide by 3
The length of the mat is 12 ft.
__
The width of the mat is L/2 = 6 ft, and the area is the product of length and width.
Area = (12 ft)(6 ft) = 72 ft^2
The area of the mat is 72 square feet.
Answer:
1. 24,000,000, i believe you divide, 300,000/80.
2. 4.065 seconds, i also believe you divide 5000m/1230.
Answer:
- solutions: (2, 10), (4, 5)
- non-solutions: all other points
Step-by-step explanation:
It can be useful to graph the inequalities related to Tyler's limits of money and weight.
1x +3y ≤ 36 . . . . . . the limit on the cost of the items Tyler can afford
1x +1.5y ≤ 20 . . . . . the limit on the weight of the items Tyler can carry
Then plotting the given points shows that only (2, 10) and (4, 5) are in the doubly-shaded area that is the solution space. The other points are not a solution.
Answer:

Step-by-step explanation:
This is what is called the Midsegment Theorem, which states that the relation of a triangle's midpunkt is parallel to the triangle's third side, and the mid-segment length is half the third side length, so you would take half of
and set that expression equal to the midsegment:
2x + 10 = 3x
-2x - 2x
____________

You then plug this back into both expressions above to get the double-segment of 60 and the mid-segment of 30. We can tell this is correct because 30 and 60 are relatively proportional to each other.
I am joyous to assist you anytime.