Help me with number 5 rn i need help its due soon.

Answer:

I) The roots are:

First Case:

[tex]x=-2\text{ or } x=-6[/tex]

Second Case:

[tex]x=2\text{ or } x=6[/tex]

II) Possible values of p are:

First Case:

[tex]p=-12[/tex]

Second Case:

[tex]p=4[/tex]

Step-by-step explanation:

We have the equation:

[tex]x^2-(4+p)x+12=0[/tex]

We know that one of the roots is three times the other.

And we want to find the roots of the equation and the possible values for p.

To find our solutions, we can use the process of factoring.

If we have an equation in the form:

[tex]x^2+bx+c=0[/tex]

We want to find two numbers, say, k and j, such that:

[tex]\displaystytle kj=c\text{ and } k+j=b[/tex]

After finding them, we can factor as such:

[tex](x+k)(x+j)[/tex]

So, -k and -j will be our zeros.

Therefore, for our equation, we will find two numbers k and j such that:

[tex]\displaystyle kj=12\text{ and } k+j=-(4+p)[/tex]

Notice that for the first criterion, we can simply list all the factors of 12.

So, according to the first equation, possible values of k and j are:

1 and 12; 2 and 6; or 3 and 4.

Then, our roots will be -1 and -12; -2 and -6; or -3 and -4, respectively.

However, remember that one of our roots is three times the other.

Therefore, the only candidates that work will be the second option.

Hence, k and j are 2 and 6.

Therefore:

[tex]k=2\text{ and } j=6[/tex]

With this information, we can now determine p. Since:

[tex]k+j=-(4+p)[/tex]

Then it follows that:

[tex]\begin{aligned}(2)+(6)&=-(4+p)\\8&=-(4+p)\\-8&=4+p\\p&=-12\end{aligned}[/tex]

Hence, our equation is:

[tex]x^2-(4+-12)x+12=0[/tex]

Or, factored:

[tex]x^2+8x+12=0 \text{ or } (x+6)(x+2)=0[/tex]

So, our roots are x=-6 and x=-2 when p=-12.

However, we also need to consider the negative factors of 12.

Factors of 12 also include -2 and -6.

Hence, our k and j can also be k=-2 and j=-6.

Then, in this case, our p is :

[tex]\begin{aligned} (-2)+(-6)&=-(4+p)\\-8&=-(4+p)\\8&=4+p\\p&=4\end{aligned}[/tex]

Therefore, for our second case, k=-2 and j=-6. Then p=4. So, our equation is:

[tex]x^2-(4+4)x+12=0[/tex]

Or, factored:

[tex]x^2-8x+12\text{ or } (x-2)(x-6)=0[/tex]

Hence, when p=4, our roots are x=2 and x=6.

Answer:

Translation: Solutions to effective family education

Step-by-step explanation:

Answer:

3 minutes to 10 minutes

Step-by-step explanation:

15 : 50. Both can be divided by 5

3 : 10

Answer:

17280 if your multiplying

8 divided by 10 is 0.8

12 divided by 18 is 0.6667

1.19

Step-by-step explanation:

1.1940029985

yes i used a calculator for the last one

Answer: 9 1/3%

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

Number of DVDs put on the first rack = 5

Number of DVDs put on the second rack = 10

If we closely observe, the number of DVDs on the second rack is nothing but number of DVDs on the first rack multiplied by 2.

Number of DVDs put on the third rack = 20

If we closely observe, the number of DVDs on the third rack is nothing but number of DVDs on the second rack multiplied by 2.

Number of DVDs put on the fourth rack = 40

If we closely observe, the number of DVDs on the fourth rack is nothing but number of DVDs on the third rack multiplied by 2.

Number of DVDs put on the fifth rack = 80

If we closely observe, the number of DVDs on the fifth rack is nothing but number of DVDs on the fourth rack multiplied by 2.

Therefore, to find the number of DVDs on the sixth rack as per similar pattern, we need to multiply the number of DVDs on the fifth rack with 2.

Number of DVDs on the sixth rack = [tex]80\times 2 = \bold{160}[/tex]

Answer:

m<6=126

Step-by-step explanation:

Answer:

0.151

Step-by-step explanation:

1.51=c10

we divide 10 by both sides

1.51/10 = c10/10

we cancel 10/10 and 1.51/10=0.151

so

c=0.151

tell me if u need a more clear explanation

Answer: 15 hope this help's and if not please give a bad rating

Answer: 15

Step-by-step explanation: we have 140 buns if a bakery bought 80 that means we don't have the 80 buns so we remove 80 from 140 so 140-80= 60. and so The remaining buns were put into 4 buns each. so we divide cause they are in 4 and so 60 divided by 4 is 15.

HOPE THIS HELPS!

Answer:

217,2 m

Step-by-step explanation:

Si el lado de la finca mide 54,3 m y la finca es cuadrada entonces:

1.-El área de la finca es:

A = L²

Y el perimetro de un cuadrado es P = 4*L

Entonces

P = 4 * 54,3

P = 217,2 m

Answer:

x y

0 3

1 5

2 7

3 9

D,  s=180- n-2

and s=165n

165n=180-n-2

Answer:

x.1 y.25

x.3 y.17

x.5 y.9

x.6 y.5

Step-by-step explanation:

Answer:

-12ab-30ac

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

First, subtract 4 from both sides. When you do this, that leaves you with: 3x=9. Then, divide 9 by 3 to get x by itself. x=3

Answer:

Find out what X is (X = 3) , Multiply X times three, add your new number with 4.

3 x 3 + 4 = 13

Answer:

the answer is cd

Step-by-step explanation:

Answer:

$20

Step-by-step explanation:

you divide 40 by the two tickets and get $20.

Answer:

$20

Step-by-step explanation:

2 into 40 = 20

3 into 60 = 20

4 into 80 = 20

Answer

no

Explanation

.

Answer:

Not a function

Step-by-step explanation:

A function is supposed to be one input, one output, and an input can't have two different answers. The input 3 wields two different answers, so it can't be a function

Answer:

x ≥ 3

Step-by-step explanation:

the domain of a graph consists of all the input values shown on the x -axis

The domain of the square root function graphed below would be x ≥ 3

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable , functions are indispensable for formulating physical relationships.

The domain is all  real numbers for x>3 and the range of the square root function graphed is equal to the interval------> [1,∞)

so, the range is all real numbers for x>3

Hence, the domain of a graph consists of all the input values of the x -axis.

Learn more about function here:

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please see my steps to work this problem

Answer:

It would take 28 months for Gym Strong to be a better buy.

Step-by-step explanation:

There are two possible options for gyms to choose from:

Gym Strong charges $350 plus $15 a month

Gym Fit charges $100 plus $24 a month.

Since Gym Strong charges less per month but has a higher initial fee, there will be some time when it will be a cheaper option than Gym Fit.

Let's solve this by analyzing the differences in fixed fees and monthly fees.

The difference of fixed fees is $350 - $100 = $250

The difference on monthly fees is $24 - $15 = $9

Both gyms will charge the same total fees when have passed 250/9 = 27.7 months. Since the number of months is a whole number, we round up.

It would take 28 months for Gym Strong to be a better buy.

Answer:For one bush it would be $185 and for one tree it would be $189.

Step-by-step explanation:185 + 189 = 374

Answer:

40 people

Step-by-step explanation:

simply divide 1/8 from 5 which is 40

5/ 1/8 = 40

Answer:

12

Step-by-step explanation:

2 + 3 + 7 pathways = 12 :)

Answer:

11

Step-by-step explanation:

a

Answer:

#1

#2

#3

#4

Step-by-step explanation:

Hope this helps

Answer:

B

Step-by-step explanation:

Your body temperature increases when you are awake and it looks like the slope increases at around hour 34.

Answer:

B) a long-term from of torpor

Answer:

[tex]- \frac{45}{4}[/tex]

Step-by-step explanation:

Step one:

given the information

[tex]-12 \frac{3}{4}[/tex] ----------------this is a mixed fraction with a negative integer number

let us convert this to a proper fraction

Step two:

Multiply the integer by the denominator and add the numerator, we have

[tex]=(-12*4+3)/4\\\\=(-48+3)/4\\\\=-45/4[/tex]

The third option is correct

Answer:

42

Step-by-step explanation:

g(-5)=-5.-5+17

=25+17

=42

Answer:

42

Step-by-step explanation:

g(x) = -5x+ 17

g(-5) = -5 × -5 +17

g(-5) = 42

Answer:

idek

Step-by-step explanation:

idek

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Answer:

1. The sales tax of a sweater = $1.2

2. The sales tax of a purse = $2.25

3. The sales tax of a bicycle =  $8.4

4. The sales tax of a TV = $120

5. The sales tax of a radio = $2.1

A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."

Given:

1. A sweater for $19.99 and a 6% sales tax.

The sales tax of a sweater = 19.99 x 0.06 = $1.2

2. A purse for $45.00 and a 5% sales tax.

The sales tax of a purse = 45 x 0.05 = $2.25

3. A bicycle for $120.00 and a 7% sales tax.

The sales tax of a bicycle = 120 x 0.07 = $8.4

4. A TV for $3000.00 and a 4% sales tax.

The sales tax of a TV = 3000 x 0.04 = $120

5. A radio for $35.00 and a 6% sales tax.

The sales tax of a radio = 35 x 0.06 = $2.1

Therefore, all the required sales tax is given above.

To learn more about the percentage;

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