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3 years ago

2x2 - 3x - 2 = x + 4.check all of the solutions to this equation.-137(–1, 3)(3, 7)

Mathematics

2 answers:

g100num [7]3 years ago

6 0

Answer:

The correct option is: (-1, 3)

Step-by-step explanation:

The given equation is: $2x^2-3x-2=x+4$

First we will move all terms to the left side and make the right side as zero. So......

$2x^2-3x-2-x-4=0\\ \\ 2x^2-4x-6=0$

Now, we can divide both sides of this equation by 2. So, we will get......

$\frac{2x^2-4x-6}{2}=\frac{0}{2}\\ \\ x^2-2x-3=0$

Factoring out the left side..........

$x^2-2x-3 =0\\ \\ (x-3)(x+1)=0$

Now, using zero-product property, we will get.........

$x-3=0\\x=3\\ \\and\\ \\ x+1=0\\ x=-1$

So, the solutions to the equation will be: (-1, 3)

Eduardwww [97]3 years ago

6 0

Answer:

-1 and 3

Step-by-step explanation:

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Find the area of a rectangle whose length is 15ft and width is 8ft

11Alexandr11 [23.1K]

Answer:

120 ft. sq

Step-by-step explanation:

You use the equation length times width to find the area. 15 x 8 = 120. This equation works for any rectangle

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3 years ago

Population of Jacksonville was 3810 and 2010 and is growing at an annual rate of 3.5% if the growth rate continues what will the

grin007 [14]

Answer:

FV= 5,958.67 = 5,959

Step-by-step explanation:

Giving the following information:

Current population (Present Value)= 3,810

Growth rate (g)= 3.5% annual

Number of periods (n)= 13 years

To calculate the future number of people (FV), we need to use the following formula:

FV= PV*(1+i)^n

FV= 3,810*(1.035^13)

FV= 5,958.67 = 5,959

4 0

2 years ago

Your parents have a realized income of $1,046.78/every 2 weeks. How much should the monthly housing expense budget be to stay wi

IgorLugansk [536]

Answer with explanation:

Income earned by my parents in every two weeks = $ 1046.78

In two weeks there are 14 days, so income earned by my parents in 1 day

$=\frac{1046.78}{14}\\\\74.77$

Income of my parents after a month, if there are 30 days in a month = $74.77 × 30= $ 2243.10

We, will use , $\frac{28}{36}$ rule here , which states that , 28% of monthly income of my parents, should be used for monthly housing expenses ,and 36% of gross monthly income should be used for debt purposes.

28% of $2243.78

$=\frac{28}{100}*2243.78\\\\=\frac{62825.84}{100}\\\\=628.2584$

= $ 628.26 (Approx)

So,my parents, monthly housing expense should not exceed ≥ $ 628.26

8 0

3 years ago

Which is a solution to the equation?

zavuch27 [327]

Answer:

ox=-7

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

−

4 0

3 years ago

todd Has a collection of 8cds and sally has a collection of 18 cds Todd is adding 9cds a month to his collection while sally is

STatiana [176]

Answer:

Step-by-step explanation:

Let's create some equations first.

Say M = number of months, T = Todd and S = Sally.

We know that Todd starts with 8 cds and sally starts with 18 cds.

This means when M= 0, T = 8 and S = 18

After one month (M = 1), Todd adds 9 cds.

This means can write the following equation:

T = 8 + 9M

So after the first month (where M = 1), we can find out that Todd has

T = 8 + 9 x 1 = 8 + 9 = 17 cds

For Sally, we know she adds 7 cds per month.

S = 18 + 7M

After one month (M = 1),

S = 18 + 7 x 1 = 25 cds.

Now we are trying to find when they will have the same number of cds and how many.

This means we are trying to figure out what M = ? when Todd and Sally are equal.

So we want to find when T = S

Remember, earlier we wrote :

T = 8 + 9M

S = 18 + 7M

If T = S, this means:

8 + 9M = 18 + 7M

Gather the like terms and solve for M.

Subtract 8 from both sides.

9M = 10 + 7M

Subtract 7M from both sides

2M = 10

Divide both sides by 2

M = 5.

So in 5 months, we are saying T = S (Todd and Sally will have the same number of cds).

Put M = 5 back into our earlier equations to find out how many cds they have after 5 months.

T = 8 + 9M

T = 8 + 9 x 5

T = 53

Therefore, after 5 months Todd and Sally will have 53 cds each :)

6 0

3 years ago