Answer:
it is not linear
Step-by-step explanation:
Linear function means that same increments in x yield uniform increments in y.
First 2 lines: x grows from -5 to 0, so increment in x is 5. For said interval, y grows from 3 to 7, so increment in y is 4.
Then, x grows from 0 to 5, so increment in x is again 5. Now, for the same increase of x, y grows from 7 to 10, so increment now in y is 3.
In the first "5" interval of x, y grew 4, and in the second "5" interval of x y grew 3 ⇒ it is not linear.
The function would have been linear, if last y value had been 11.
Answer:
(x +1) (x + 5)
Step-by-step explanation:
Factorization of x²+6x+5
To factorise this quadratic expression we'll find 2 factors of 5 that when added gives the coefficient of x which is
Factors = +1 and +5
Sum = +6, product = +5
Rewriting equation
x² + x + 5x + 5
Factorising
x ( x +1) +5 ( x + 1)
(x +1) (x + 5)
I hope this was helpful, please mark as brainliest
If d₁ and d₂ are the lengths of the diagonals, the area is given by
.. A = (1/2)*d₁*d₂
.. A = (1/2)*(12 in)*(16 in)
.. A = 96 in²
If b is the base and h is the height, the area is given by
.. A = b*h
We know the values of A and b, so
.. 96 in² = (10 in)*h
.. (96 in²)/(10 in) = h = 9.6 in
The height is 9.6 in.
The critical points are at x = 1 and x = 4 giving you the intervals (-inf, 1), (1, 4) and (4, inf).
By substituting x values in these 3 intervals, you can see that f'(x) is positive in the first and third intervals and negative in the second interval.
This means that f(x) is increasing in the first and third intervals and decreasing in the second interval.
The answer is D.
Answer:
30 ways
Step-by-step explanation:
Given the following information:
- 3 different sandwiches
- 2 different salads
- 5 different drinks
Let assume that the combo contains: 1 sandwich, 1 salad, and 1 drink
Hence, we have:
- The total possible ways of choosing sandwiches she can choose is: 3
- The total possible ways of choosing salads she can choose is: 2
- The total possible ways of choosing drinks she can choose is: 5
=> Total ways = 3*5*2 = 30 ways or there are 30 different combos Keisha can choose
Hope it will find you well.
