All categories

3 years ago

Solve the quadratic inequalities, by either graphing, or pure algebraic method:

Mathematics

1 answer:

BlackZzzverrR [31]3 years ago

6 0

Answer:

less than/equal to -2

Or, greater than/equal to 2.5

Step-by-step explanation:

2x² - x - 10 ≥ 0

2x² - 5x + 4x - 10 ≥ 0

x(2x - 5) + 2(2x - 5) ≥ 0

(x + 2)(2x - 5) ≥ 0

Roots: -2, 5/2

x《 -2 or x》5/2

You might be interested in

Foil: (x+9)(3x-4)

QveST [7]

QUESTION 1

The given binomial is;

$(x+9)(3x-4)$

First terms are multiplied: $x\times 3x=3x^2$

Outside terms are multiplied: $x\times -4=-4x$

Inside terms are multiplied: $9\times 3x=27x$

Last terms are Multiplied: $9\times -4=-36$

This gives us;

$=3x^2-4x+27x-36$

$=3x^2+23x-36$

QUESTION 2

We want to factor

$6r^5s+4r^4s^2-8r^2s$

The HCF is $2r^2s$

We factor to get;

$2r^2s(3r^3+2r^2s-4)$

QUESTION 3;

$x^2+x-2=0$

Split the middle term;

$x^2+2x-x-2=0$

Factor

$x(x+2)-1(x+2)=0$

$(x+2)(x-1)=0$

$(x+2)=0,(x-1)=0$

$x=-2,x=1$

The solutions are;

$x=-2$ and $x=1$

These are the x-intercepts of the graph of the function

$f(x)=x^2+x-2$

3 0

4 years ago

How to find the x ?

KonstantinChe [14]

Does that say 4 x 8x + 1 = 2(squared)x?

3 0

3 years ago

What's the circumference of a circle with a diameter of 15 inches? Use 3.14 for i. C = [?] inches

user100 [1]

Answer:

ㅈ = 3.14

2ㅈR => 2 × 15 × 3.14

= 94.2

4 0

3 years ago

Sam bought a kit to make a skateboard ramp. The kit contains 3 pieces of wood, one is 3 feet long, one is 4 feet

gayaneshka [121]

Don’t click on that link

7 0

3 years ago

If angles A and B are consecutive interior angles, what is the measure of

n200080 [17]

Answer:

A. 105°

Step-by-step explanation:

Consecutive interior angles are angles that are supplementary, meaning they add up to 180°. If one angle is worth 75°, to find the other angle, we subtract 75 from 180 to get the angle measure.

$180-75$
$105$

Therefore, the answer is A.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

8 0

2 years ago