All categories

3 years ago

1) Determine the intervals over which the function is

Mathematics

1 answer:

lianna [129]3 years ago

4 0

Answer:.

increasing from negative infinity to -2, decreasing from -2to 2, constant from 2 to 4 and increasing from 4 to positive infinity. A graph always increases and decreases over x axis and you show x points.

Step-by-step explanation:

You might be interested in

A race car game takes 6 points from a player each time the player hits a cone. What integer represents the change in total point

Helga [31]

Given:

A race car game takes 6 points from a player each time the player hits a cone.

To find:

The integer which represents the change in total points if the player hits 10 cones.

Solution:

According to the given information,

1 hit = -6 points

Here, negative sign represents the reduction in points after hitting a cone.

If the player hits 10 cones.

(1 × 10) hit = (-6 × 10) points

10 hit = -60 points

So, the change in total points if the player hits 10 cones is -60.

Therefore, the required integer is -60.

3 0

3 years ago

What is the y value of the vertex of the function f(x)=-(x-3)(x+11)

AnnyKZ [126]

Answer:

Step-by-step explanation:

Because there is a minus sign infront of x-3, we can convert x-3 into the negative form:

- * x

- * -3

-x + 3

Which gives us:

(-x + 3)(x + 11)

Now expand the brackets with the formula:

(a + b)(c + d) = ac + ad + bc + bd

-x * x = -x²

-x * 11 = -11x

3 * x = 3x

3 * 11 = 33

-x² - 11x + 3x + 33

-x² - 8x + 33

The formula for finding the x coordinate of a vertex in a quadratic equation is:

x = $\frac{-b}{2a}$

Plug known variables in:

$x = \frac{-(-8)}{2(-1)}$

$x = \frac{8}{-2}$

$x = -4$

Now, to find the y coordinate, plug this variable back into the quadratic equation:

-x² - 8x + 33

$y = -(-4^2) - (32) + 33\\y = -16 + 32 + 33\\\\$

y = 49

So the y coordinate of the vertex is 49.

Hope this helps!

4 0

3 years ago

As part of a research project on student debt at TWU, a researcher interviewed a sample of 35 students that were chosen at rando

Inga [223]

Answer:

Option a is right

Step-by-step explanation:

Given that as part of a research project on student debt at TWU, a researcher interviewed a sample of 35 students that were chosen at random concerning their monthly credit card balance.

Sample average = 2573

Variance = 4252

Sample size = 35

STd deviation of X = $\sqrt{4252} \\=65.21$

Score of student selected at random X=1700

Corresponding Z score = $\frac{1700-2573}{65.201} \\=-13.38$

Rounding of we get Z score = -13.4

option a is right

6 0

3 years ago

on june 1, $40,000 of treasury bonds were purchased between interest dates. the broker commission was $600. the bonds pay intere

PtichkaEL [24]

Given:
treasury bond = 40,000
brokers commission = 600
interest rate = 12$ p.a
interest paid semi-annually, january 1 and july 1.

Since the treasury bond was sold on June 1, its interest revenue will only be equal to 1 month ( June 1 to July 1).

12% / 12 months = 1% per month

40,000 * 1% = 400 interest revenue to be recorded on July 1.

6 0

3 years ago

Perform the indicated operation. xyz times 1/xyz A. 0 B. x^2y^2z^2 C. 1

Irina18 [472]

We have to perform the indicated operation.
x y z times 1 / x y z:
x y z * 1 / x y z = (x y z) / (x y z) = 1
Answer:
C ) 1

3 0

3 years ago

Read 2 more answers