All categories

3 years ago

1)If (x-2) is a factor of x2+ 3ax -2a, then find the value of a

Mathematics

1 answer:

liraira [26]3 years ago

5 0

Answer:

x - 2 => x = 2

x² + 3ax - 2a

=> 2² + 3 × a × 2 - 2 × a

=> 4 + 6a - 2a

=> 4 + 4a

=> 4 ( 1 + a )

★ 1 + a = 0

a = -1

You might be interested in

What is 1/4(8+x+4) simplified using the distributive property

Nana76 [90]

1/4(12 + x)
3 + 1/4x
The solution is 3 + 1/4x

7 0

3 years ago

Read 2 more answers

A piecewise function g(x) is represented by the graph. On a coordinate plane, a piecewise function has 3 lines. The first line h

fenix001 [56]

Answer:

see the explanation

Step-by-step explanation:

Find out the equation of each line of the piece wise

<em>First line</em>

The first line has an open circle at (negative 2, negative 2) and it continues horizontally to an open circle (negative 5, negative 2)

(-2,-2) to (-5,-2)

$g(x)=-2$

$-5 < x < -2$

<em>Second line</em>

The second line has a closed circle at (negative 2, 0) and then continues up to an open circle at (1, 1.5)

[-2,0] to (1,1.5)

<u><em>Find the slope</em></u>

$m=(1.5-0)/(1+2)=0.5$

<u><em>Equation in point slope form</em></u>

$y-y1=m(x-x1)$

we have

$m=0.5$

$point (-2,0)$

substitute

$y-0=0.5(x+2)$

<u><em>Convert to slope intercept form</em></u>

$y=0.5x+1$

$g(x)=0.5x+1$

$-2 \leq x < 1$

<em>Third line</em>

The third line has a closed circle at (1, 4) and continues down to open circle (5, negative 4). Which functions represent a piece of the function?

[1,4] to (5,-4)

The equation of the line is

$g(x)=-2x+6$ ---> Repeat all steps that in second line

$1 \leq x < 5$

therefore

The piece wise function is equal to

$g(x)=-2$ ----> $-5 < x < -2$

$g(x)=0.5x+1$ ----> $-2 \leq x < 1$

$g(x)=-2x+6$ ---> $1 \leq x < 5$

5 0

3 years ago

At a small private college, 9/20 of the students are female. If there are 2,160 female students,

pav-90 [236]

Answer:

2,640

Step-by-step explanation:

6 0

3 years ago

What is the area of the circle shown? Use 3.14 to approximate pi. Round your answer to the nearest hundredth.

leva [86]

Answer:

452.16

Step-by-step explanation:

12^2 x 3,14

5 0

3 years ago

A population of rabbits has 20 offspring per pair of rabbits. a population of cheetahs has 2 offspring per pair of cheetahs. whi

zvonat [6]

Cheetahs population will be more affected by genetic drift

<h3>What is genetic drift?</h3>

Genetic drift is the change in a population's frequency of an existing gene variant brought on by chance. Gene variations may totally vanish due to genetic drift, hence reducing genetic variation. Additionally, it may lead to the considerably greater frequency and even fixation of previously rare alleles.

<h3>What causes genetic drift?</h3>

Random drift is a result of recurrently small populations, drastic population reductions known as "bottlenecks," and founder events in which a new population is created from a small number of individuals.

To know more about Genetic Drift visit:

brainly.com/question/17483792

#SPJ4

3 0

1 year ago