The product of a number and -7 is greater than 42

D,  s=180- n-2

and s=165n

165n=180-n-2

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:

the answer is cd

Step-by-step explanation:

Answer:

the third one, each square is 5%

Answer: C

Step-by-step explanation: 75% is 3/4. C has 20 squares, divided by 4 is 5, and 3 times 5 is 15. And 15 squares is shown in choice C.

Answer:

x=1

Step-by-step explanation:

is the answer

Answer:

x = 1

Step-by-step explanation:

Answer: 9 1/3%

Step-by-step explanation:

Answer:

D.1.796

Step-by-step explanation:

Edge 2021

The required value of Log Subscript 6 Baseline 25 is 1.796.

Value of Log Subscript 6 Baseline 25 is to be determine.

In mathematics, using mathematical operators execute the mathematical expression.

Here,

[tex]=log_625\\= log_e25/log_e6\\[/tex]

= 1.796

Thus, the required value of Log Subscript 6 Baseline 25 is 1.796.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ2

please see my steps to work this problem

Answer:

The answer is A.

Step-by-step explanation:

As can be seen in the graph, car B starts at the "20" mark on the vertical axis, signifying that it starts 20 miles east of car A.

Hope this helped!

Answer:

Here you go sweetheart!

Step-by-step explanation:

Answer: negative

Step-by-step explanation:

the x values are negative

Answer:

negative

Step-by-step explanation:

Answer: 1/2

Step-by-step explanation:

2/4=1/2

Answer: Yes, 1/2, ,2/4, and 4/8 are all equal because if they are all one half, then they are equal.

Step-by-step explanation:

Answer:

The answer is that the table is not a proportional relationship.

Step-by-step explanation:

It's not a proportional relationship because the number was not a constant variable.In order for the table to have a proportional relationship the number has to be the same for all of the ratios.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

Hope this helps!!

Answer:

3 minutes to 10 minutes

Step-by-step explanation:

15 : 50. Both can be divided by 5

3 : 10

Answer:

2 2/4

Step-by-step explanation:

add the buttons greater then 1 and it will be 2 2/4

Answer:

12

Step-by-step explanation:

2 + 3 + 7 pathways = 12 :)

Answer:

11

Step-by-step explanation:

a

Answer:

x y

0 3

1 5

2 7

3 9

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:

C. y = 4/5x + 2

Step-by-step explanation:

y = mx + b

m is the slope and b is the y-intercept

the slope is 4/5, because of rise/run

y-intercept is 2 as the line goes through 2 on the y-axis

Also it's 4/5 not -4/5 because negative means it's going down, the line in this graph is going up hence positive 4/5

Answer:

-19.8

Step-by-step explanation:

hope this helps!

Answer:

(a). 6 ; (b). $5 ;  (c). Larry'c ; (d) at time they open their accounts.

Step-by-step explanation:

Larry's saving habits is [tex]y_{L}[/tex] = 15x + 5

Tom's saving habits:

m = (30 - 18) / (2 - 1) = 12 and b = 18 - 12 = 6

[tex]y_{T}[/tex] = 12x + 6

(a). $6

(b). $5

(c). Larry'c ( [tex]m_{L}[/tex] = $15 , [tex]m_{T}[/tex] = $12 )

(d). When [tex]y_{T}[/tex] > [tex]y_{L}[/tex] ?

15x + 5 < 12x + 6

3x < 1

x < [tex]\frac{1}{3}[/tex] of [tex]1^{st}[/tex] week ( x ∈ [0, 1) )⇒ Tom will have more money in his account than Larry at time they open their accounts.

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

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

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:

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:

x.1 y.25

x.3 y.17

x.5 y.9

x.6 y.5

Step-by-step explanation:

Answer:

#1

#2

#3

#4

Step-by-step explanation:

Hope this helps

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:

m<6=126

Step-by-step explanation:

Answer:

Translation: Solutions to effective family education

Step-by-step explanation:

Answer:

i think its d

Step-by-step explanation:

if you look up quadrilaterals you find shapes like rectangles, squares, and diamonds. if you look up parallelograms you find the same thing, so i think it's d. sorry if im wrong i havent done this stuff in a while

Answer:

I am sure the answer is C, if not I'm very sorry

Answer:

680 dollars

Step-by-step explanation:

.5x - 125 = 215

.5x = 340

x = 680