M= x+n over p solve for x

Calculate the axis of symmetry in the equation Y = (x+1) (x-4)

algol [13]

Answer:

Every parabola has a turning point called the axis of symmetry,so for this question you just have to find the turning points

x turning point= -b/2a,and the y turning point is gotten by replacing the value of x in the equation

y=(x+1)(x-4)

=x^2-3x-4

a is 1,b is -3 and c is -4

x= -(-3)/2(1)

=1.5

and y=x^2-3x-4

=1.5^2-3(1.5)-4

= -6.25

therefore the axis of symmetry is (1.5,-6.25)

I hope this helps

6 0

2 years ago

Drag the amounts to order them from greatest to least.

Debora [2.8K]

For easier comparison, convert all amounts to grams:

30 oz * 28.3 grams = 849 grams

1.6 lb * (16 oz/1lb) * (28.3 grams) = 724.48 grams

800 grams

Comparing the three quantities, the highest is 30 oz (849 grams); next is 800 grams, then 1.6 lb (724.48 grams)

4 0

3 years ago

Read 2 more answers

The pattern of numbers below is an arithmetic sequence:

oee [108]

Answer:

Option C is correct

Step-by-step explanation:

The common difference is 10,

So, the function is f(n + 1) = f(n) + 10 , where f(1) = 14

The recursive function for the arithmetic sequence is given by:

.....[1]

where d is the common difference of the two consecutive terms.

Given the arithmetic sequence :

14, 24, 34, 44, 54, .......

First term f(1) = 14

Common difference(d) = 10

Since,

24 -14 = 10

34-24 = 10

44-34 = 10 and so on....

Substitute d = 4 in [1], we have;

Therefore, the recursive function used to generate the sequence is,

and f(1) = 10

6 0

3 years ago

Read 2 more answers

What is the solution of the system? Use any method.

Bad White [126]

Answer:

c

Step-by-step explanation:

-3,2

thats the answer your welcome

6 0

3 years ago

Read 2 more answers

The total profit Upper P (x )(in thousands of dollars) from the sale of x hundred thousand pillows is approximated by Upper P

Schach [20]

Answer:

x=12 maximizes the profit function.

Step-by-step explanation:

We are given that the profit is $P(x) = -x^3+15x^2+72x-200$ for $x\geq 5$

To find x that maximizes P, we will find the derivative of P(x) and find x such that P'(x) =0. Recall that the derivative of a function of the form $x^k$ is $kx^{k-1}$ , and that the derivative of a constant is zero. Then, by using the properties of derivatives, we get (the details of the calculation is omitted).

$P'(x) =-3x^2+30x+72$ .

We want to solve $P'(x) = 0$ . By dividing the equation by -3, we get

$x^2-10x-24=0=(x-12)(x+2)$

So we have that x=12 and x=-2 are solutions. In this case, we are only considering x greater than o equals 0. So, we take x=12.

We will check that x=12 is a maximum of P.

To do so, we will use the second derivative criteria, which is as follows. Given a function f whose first and second derivative exist, a point x is a maximum if $f''(x)$ . In our case,

$P''(x) = -6x+30$

Note that $P''(12) = -42$ . So x=12 is a maximum of P.

6 0

3 years ago