Which inequality is true?<br> -1/2>0<br> -2.5>-2<br> -1 1/2>1.5

How do you factorize p2 + 2p - 3 =0

julia-pushkina [17]

Answer:

Solution

p = {-3, 1}

Step-by-step explanation:

Simplifying

p2 + 2p + -3 = 0

Reorder the terms:

-3 + 2p + p2 = 0

Solving

-3 + 2p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.

(-3 + -1p)(1 + -1p) = 0

Subproblem 1

Set the factor '(-3 + -1p)' equal to zero and attempt to solve:

Simplifying

-3 + -1p = 0

Solving

-3 + -1p = 0

Move all terms containing p to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 3 + -1p = 0 + 3

Combine like terms: -3 + 3 = 0

0 + -1p = 0 + 3

-1p = 0 + 3

Combine like terms: 0 + 3 = 3

-1p = 3

Divide each side by '-1'.

p = -3

Simplifying

p = -3

Subproblem 2

Set the factor '(1 + -1p)' equal to zero and attempt to solve:

Simplifying

1 + -1p = 0

Solving

1 + -1p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + -1 + -1p = 0 + -1

Combine like terms: 1 + -1 = 0

0 + -1p = 0 + -1

-1p = 0 + -1

Combine like terms: 0 + -1 = -1

-1p = -1

Divide each side by '-1'.

p = 1

Simplifying

p = 1

Solution

p = {-3, 1}

4 0

4 years ago

Find the sum of the first five terms using the geometric series formula for the sequence left curly bracket 1 half comma space m

MatroZZZ [7]

Answer:

$\bold{\dfrac{11}{2 }}$

Step-by-step explanation:

Given the geometric series:

$\{\dfrac{1}2, -1, 2, -4, ..... \}$

To find:

Sum of series upto 5 terms using the geometric series formula = ?

Solution:

Formula for sum of a n terms of a geometric series is given as:

$S_n=\dfrac{a(1-r^n)}{1-r} \ \{r$

$a$ is the first term of the geometric series

$r$ is the common ratio between each term (2nd term divided by 1st term or 3rd term divided by 2nd term ..... ).

Here:

$a = \dfrac{1}{2}$

$r = \dfrac{-1}{\dfrac{1}{2}} = -2$

$n=5$

So, applying the formula for given values:

$S_5=\dfrac{\dfrac{1}2(1-(-2)^5)}{1-(-2)} \\\Rightarrow S_5=\dfrac{1-(-32)}{2 \times 3} \\\Rightarrow S_5=\dfrac{1+32}{6} \\\Rightarrow S_5=\dfrac{33}{6} \\\Rightarrow \bold{S_5=\dfrac{11}{2}}$

So, the answer is

$\bold{\dfrac{11}{2 }}$

3 0

4 years ago

Help someone help plz

Dovator [93]

Answer:

Cannot see the picture sorry my guy

Step-by-step explanation:

7 0

3 years ago

Find all missing angle if m<1=50

Inessa05 [86]

Angles 1, 3, 5, and 7 each equal 50 degrees

180 - 50 = 130
Angles 2, 4, 6 and 8 each equal 130 degrees

8 0

4 years ago

Read 2 more answers

It will take five builders 62 days to complete a particular project. At this rate, how long would the project take if there were

Lena [83]

Answer:

2 builder complete work = 155 days

Step-by-step explanation:

Given:

5 builder complete work = 62 days

So,

1 builder complete work = 62 days × 5

if,

2 builder complete work = [62 days × 5] / 2

2 builder complete work = 155 days

6 0

3 years ago

Which inequality is true? -1/2>0 -2.5>-2 -1 1/2>1.5