All categories

2 years ago

Identify the intervals on which each quadratic function is positive Part 1

Mathematics

1 answer:

Gemiola [76]2 years ago

4 0

Answer: 1) (-∞, -6) U (-3, ∞)

2) (-∞, -4) U (2, ∞)

3) (-∞, -3) U (8, ∞)

<u>Step-by-step explanation:</u>

Find the zeros. Since the a-value is positive, the curve will be positive to the left of the leftmost zero and to the right of the rightmost zero. + - +

←---|----|--→

1) y = x² + 9x + 18

y = (x + 3)(x + 6)

0 = (x + 3)(x + 6)

0 = x + 3 0 = x + 6 + -- +

x = -3 x = -6 ←------|-----------|--------→

-6 -3

Positive Interval: (-∞, -6) U (-3, ∞)

2) y = x² + 2x - 8

y = (x + 4)(x - 2)

0 = (x + 4)(x - 2)

0 = x + 4 0 = x - 2 + -- +

x = -4 x = 2 ←------|-----------|--------→

-4 2

Positive Interval: (-∞, -4) U (2, ∞)

3) y = x² - 5x - 24

y = (x + 3)(x - 8)

0 = (x + 3)(x - 8)

0 = x + 3 0 = x - 8 + -- +

x = -3 x = 8 ←------|-----------|--------→

-3 8

Positive Interval: (-∞, -3) U (8, ∞)

You might be interested in

All whole numbers are rational numbers. True or False?

Basile [38]

Answer:

True

Step-by-step explanation:

A rational number means that the number can be expressed as a fraction, where you can have two whole numbers.

There is an equation which is $n=n/1$

4 0

2 years ago

Read 2 more answers

The difference between the value of the sample statistic and the value of the corresponding population parameter is called the _

mel-nik [20]

Answer: c. sampling error

Step-by-step explanation:

A population parameter is a number that is evaluated to describe the whole population . For example : Population mean , Population standard deviation etc.
A sample statistic gives the estimate value of the population parameter. For example : Sample mean , sample proportion.

Since, the sample is a subset of population , so there are chances for unavoidable variation in sample mean from the population mean that varies from sample to sample .

This variation is known as sampling error.

∴ The difference between the value of the sample statistic and the value of the corresponding population parameter is called the sampling error .

Hence,the correct answer is c. sampling error .

7 0

2 years ago

1. Determine the magnitude of the resultant force acting on the plate and its direction, measured counter-clockwise from the pos

AlexFokin [52]

F1 . . . 100% of it = 900N is in the +x direction.

F2 . . . 70.7% of it (cos45°, 530.3N) is in the +x direction,
and 70.7% of it (sin45°, 530.3N) is in the +y direction.

F3 . . . 80% of it (520N) is in the -x direction,
and 60% of it (390N) is in the +y direction.

Total x-component: 900 + 530.3 - 520 = 1,950.3 N

Total y-component: 530.3 + 390 = 920.3 N

Magnitude of the resultant = √ (x² + y²)

   = √(1950.3² + 920.3²)

   = √4,650,070.09

   =   2,156.4 N .

Angle of the resultant, measured counterclockwise
from the +x axis, is

   tan⁻¹ (y / x)

   = tan⁻¹ (920.3 / 1950.3)

   = tan⁻¹ (0.4719)

   = about 25.3° .

Caution:
The same fatigue that degrades my ability to READ the question accurately
may also compromise the accuracy of my solutions. Before you use this
answer for anything, check it, check it, check it !

4 0

2 years ago

Jess wants to build the birdhouse shown. She bought a 25-inch by 50-inch sheet of plywood. Does Jess have enough wood to make

Lemur [1.5K]

Answer:

it depends on how big jess wants to make her birdhouse.

8 0

2 years ago

What is the the slope that passes through the points (4,-7) and (9,1)

bulgar [2K]

Answer:

8/5