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3 years ago

Calculate the average rate of change of the quadratic function y = -x2 + 4x +2

Mathematics

1 answer:

algol133 years ago

6 0

Answer:

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

Here [ a, b ] = [ 0, 2 ], thus

f(b) = f(2) = -(2)² + 4)(2) + 2 = - 4 + 8 + 2 = 6

f(a) = f(0) = 2

average rate of change = $\frac{6-2}{2-0}$ = $\frac{4}{2}$ = 2

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If you cut a 35 inch long stick in two pieces in the ratio 2:3, how long would each part be?

Aliun [14]

Answer:

14 : 21

Step-by-step explanation:

---> 2:3 ----> 2+3=5

---> Stick's length = 35 inches

For the first portion

2/5 x 35

2/1 x 7

= 14 inches

For the second portion

3/5 x 35

3/1 x 7

= 21 inches

To confirm: 14 + 21 = 35 inches

14 : 21

Divide both by 7

2 : 3

7 0

3 years ago

What is the answer to 0 > 3x - 3 - 6?

swat32

Answer:

3 = x

Step-by-step explanation:

0 > 3x - 3 - 6

You want to group up the -3 and -6 first

0 > 3x - 9

Then you want to add 9 to each side to cancel out the negative 9 on one side.

0 > 3x - 9

+9 +9

9 > 3x

Now you just divide by 3 on each side

$\frac{9 = 3x}{3}$

3 = x

4 0

3 years ago

Translate the sentence into an equation: the sum of a number divided by 7 and 9 equals 3

ludmilkaskok [199]

X/7 + 9 = 3
a number: x
a number divided by 7: x/7
sum of number divided by 7 and 9: x/7 + 9 (and means plus)
equals 3: x/7 + 9 = 3

3 0

3 years ago

Mr. Jensen makes salt dough using 1 cup of salt for every 3 cups of dough. Which graph represents the amount of salt in his doug

klio [65]

Answer:

The third graph

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Type the correct answer in the box. Use a comma to separate the x- and y-coordinates of each point. The coordinates of the point

MAVERICK [17]

Answer:

On a unit circle, the point that corresponds to an angle of $0^{\circ}$ is at position $(1, \, 0)$ .

The point that corresponds to an angle of $90^{\circ}$ is at position $(0, \, 1)$ .

Step-by-step explanation:

On a cartesian plane, a unit circle is

a circle of radius $1$ ,
centered at the origin $(0, \, 0)$ .

The circle crosses the x- and y-axis at four points:

$(1, \, 0)$ ,
$(0, \, 1)$ ,
$(-1,\, 0)$ , and
$(0,\, -1)$ .

Join a point on the circle with the origin using a segment. The "angle" here likely refers to the counter-clockwise angle between the positive x-axis and that segment.

When the angle is equal to $0^\circ$ , the segment overlaps with the positive x-axis. The point is on both the circle and the positive x-axis. Its coordinates would be $(1, \, 0)$ .

To locate the point with a $90^{\circ}$ angle, rotate the $0^\circ$ segment counter-clockwise by $90^{\circ}$ . The segment would land on the positive y-axis. In other words, the $90^{\circ}$ -point would be at the intersection of the positive y-axis and the circle. Its coordinates would be $(0, \, 1)$ .

4 0

4 years ago