We look for the minimum of each function.
For f (x) = 3x2 + 12x + 16:
We derive the function:
f '(x) = 6x + 12
We match zero:
6x + 12 = 0
We clear the value of x:
x = -12/6
x = -2
We substitute the value of x in the equation:
f (-2) = 3 * (- 2) ^ 2 + 12 * (- 2) + 16
f (-2) = 4
For g (x) = 2sin(x-pi):
From the graph we observe that the minimum value of the function is:
y = -2
Answer:
A function that has the smallest minimum y-value is:
y = -2

4 0

3 years ago

Line 1 passes through the points -2,7 and 3,3. Line 2 passes through the points 5,1 and 9,1. Find the slope of each line. Which

RSB [31]

Answer:

The slope of the given line 1 is -4/5.

The slope of the given line 2 is 0.

The line 2 has a greater slope then line 1.

Step-by-step explanation:

The slope of a line with points (x1,y1) and (x2,y2) is given as:

$m = \frac{y_2- y_1}{x_2-x_1}$

Now, Here the, points of the line 1 are A (-2,7) and B (3,3)

So, here, the slope of line AB is $m = \frac{3 -7}{3-(-2)} = \frac{-4}{3 +2} = \frac{-4}{5}$

Hence, the slope of the given line 1 is -4/5.

Now, Here the, points of the line 2 are P (5,1) and Q (9,1)

So, here, the slope of line PQ is $m = \frac{1-1}{9-5} = \frac{0}{4} = 0$

Hence, the slope of the given line 2 is 0.

Now, as we can see 0 > ( -4 / 5)

So, the line 2 has a greater slope then line 1.

5 0

3 years ago

A test that is valid must have scores that fit a normal curve A be reliable B be normed on a random sample C predict future beha

sasho [114]

Answer:

A: be reliable

Step-by-step explanation:

4 0

3 years ago

Well I need help please

marissa [1.9K]

change to improper fractions

77 1/2 = 145/2

2 1/4 = 9/4

divide

145/2 divide 9/4

copy dot flip

145/2 * 4/9

580/18

290/9

32 2/9

it will fit into 32 bags with 2/9 left over

We have 32 full bags * 2.25 = $72.00

8 0

3 years ago