Select the graph of the solution set that would represent the following expression. 2 ( x + 1 ) > 3 x − 2

The degree of the polynomial P(x) is the highest power of the polynomial P(X)

A possible formula for P(x) is [tex]P(x) =(x + 5)x^2(x - 1)^2 \\[/tex]

The given parameters are:

Roots of multiplicity 2 at x=1 and x=0

Root of multiplicity 1 at x= -5

Write out the roots

x=1 and x=0 ------- Multiplicity 2

x = -5  ------- Multiplicity 1

Equate the roots to 0

x - 1 = 0 and x = 0 ------- Multiplicity 2

x + 5= 0  ------- Multiplicity 1

Place the multiplicities as the exponents of the roots

(x - 1)^2 = 0 and x^2 = 0

(x + 5)^1 = 0

Multiply the expressions

[tex](x - 1)^2 * x^2 * (x + 5)^1 = 0 * 0 * 0[/tex]

This gives

[tex](x - 1)^2 * x^2 * (x + 5) = 0[/tex]

Rewrite as:

[tex](x + 5)x^2(x - 1)^2 = 0[/tex]

Replace 0 with P(x)

[tex]P(x) =(x + 5)x^2(x - 1)^2[/tex]

Hence, a possible formula for P(x) is [tex]P(x) =(x + 5)x^2(x - 1)^2 \\[/tex]

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Answer:

C

Step-by-step explanation:

Label the two equations:

-2x -y= 9 -----(1)

2x -9y= 1 -----(2)

(1) +(2):

-2x -y +2x -9y= 9 +1

-2x +2x -y -9y= 10

Simplify:

-10y= 10

y= 10 ÷(-10)

y= -1

Substitute y= -1 into (2):

2x -9(-1)= 1

2x +9= 1

2x= 1 -9

2x= -8

x= -8 ÷2

x= -4

Thus, the solution is (-4, -1).

Answer:

90 degree angle and arc

Answer:

12/5 or 2,2/5

Step-by-step explanation:

[tex]3 \times \frac{4}{5} [/tex]

[tex] = \frac{12}{5} [/tex]

[tex] = 2 \frac{2}{5} [/tex]

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Answer:

Step-by-step explanation:

y= john's balls

y+2+y = 18

2+2y = 18

Answer:

The ratio is 2:3.  10m:15m is the fraction 10/15.  Reduce to 2/3.  The ratio is 2:3.

Step-by-step explanation:

Answer:

length

Step-by-step explanation:

because 9/10 will be:

9 divided by 10= 0.9

and 0.85 is greater than 0.9

cake sold today :- 85

cake sold yesterday :- X

relationship between caked sold :-

Today cake sold = cake sold yesterday- 16 (ATQ)

85 = x -16

85+16= x = 101 cakes

so Arvin sold 101 cakes yesterday

Answer:

Its 101

Hope this will help you

Step-by-step explanation:

Cake he sold today-85

Let the cake he sold yesterday be x,

x = 85+16

Therefore, x= 101

Therefore, He sold 101 cakes yesterday

Answer:  0

Step-by-step explanation:

Rewrite as y = mx + b form, where m is slope and b is the y-intercept.

2y - 3 = -4 + 7

     2y = 3

       y = 3/2

There is only the y- intercept, 3/2, therefore the slope is 0.

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

to get the slope of a straight line we only need two points off of it, hmmm let's use from the table (-1 , 13) and (2 , 1)

[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{13})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{13}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-1)}}}\implies \cfrac{-12}{2+1}\implies \cfrac{-12}{3}\implies -4[/tex]

The required rate of change in the slope-intercept form is -4. Option A is correct.

The slope of the line is the tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
Two coordinates from the table,
(-2, 17) and (-1, 13)
Now,
Rate of change = slope of the function = (13 - 17) / (-1 - (-2))
                                                                 = -4 / 1
                                                                 = -4

Thus, the required rate of change in the slope-intercept form is -4. Option A is correct.

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Answer:

6 x a number - 9 = factored

In this case, since the number is not declared as a specific number, this is the key to us factoring.

Like the number could be 6. ↓

Factoring:

[tex]6*6-9=27\\6*3-9=9\\6*9-9=45[/tex]

bonus even factor:

[tex]6*2-9=3[/tex]

These are factors and Least common multiples of 6 and 9.

Because 9 and 3 show up during half of the problem, and these are related to 6 and 9, the parents, we could measure this on a mathematical scale that this proves the factors correct.

There are other ways to factor this. See comments.

Answer: No solution

Step-by-step explanation:

-3x+3y=4

-x+y=3

We will rewrite the first equation and then substitute it into the second equation since we are solving by substitution.

Rewriting

-3x + 3y = 4

3y = 4 + 3x

y = [tex]\frac{4}{3}[/tex] + x

Substituting

-x + y = 3

-x + ([tex]\frac{4}{3}[/tex] + x) = 3

-x + [tex]\frac{4}{3}[/tex] + x = 3

[tex]\frac{4}{3}[/tex]  = 3

Hmmm, this doesn't look right, does it? This means there is no solution.

-> We can also see this when we graph the two equations, they never intersect.

-> I have attached the graph.

Answer:

no solution

Step-by-step explanation:

Answer:

2+2=4

Step-by-step explanation:

Answer:

2+2 =4

Step-by-step explanation:

1 +1 +1 +1 is 4 so 2+2 is 4

Answer:

[tex]y = 2\sqrt{10}[/tex]

Step-by-step explanation:

In left small right triangle: we have the square of left side = 5^2 + y^2 = 25 + y^2

In right small right triangle: we have the square of right side = 8^2 + y^2 = 64 + y^2

In the large right triangle, we have (25 + y^2) + (64 + y^2) = (5 + 8)^2

89 + 2y^2 = 13^2 = 169

2y^2 = 169 - 89 = 80

y = 80/2 = 40

so

[tex]y=\sqrt{40} = 2\sqrt{10}[/tex]

Answer:

4.5

Step-by-step explanation:

Answer:

it is 9/2

Step-by-step explanation:

soo uhhh first cancel out two

so it becomes 3 (3/2) then it equals to 9/2

Answer: i think A sorry if it's wrong

Step-by-step explanation:  the probability is the number of favorable outcomes divided by the total number of outcomes possible

Answer:

the aswer is 4940

Step-by-step explanation:

6500-24%

=4940

Answer:

4940

Step-by-step explanation:

Find 24% of 6500

6500 * 0.24 = 1560

Then subtract the product from 6500

6500 - 1560 = 4940

Answer:

4250

Step-by-step explanation:

Anything under this would round down to 4200

Answer:

g(f(-4)) = -8

f(g(x)) = 13-10x

Step-by-step explanation:

g(f(-4)):

Plug in the equation f(x) into the variable x of g(x), we have:

[tex](gof)= 5(7-2x)-3[/tex]

Plug in x = -4 and the answer is -8

f(g(x)):
Plug in the equation g(x) into the variable x of f(x), we have:

[tex]7-2(5x-3) = 7-10x+6 = 13-10x[/tex]

Answer:

- 1/2

Step-by-step explanation:

I did the math and got the answer -1/2

Answer:

Step-by-step explanation:

If the person who sent “good talk good talk ” message to you is someone you know very well, but you have not heard from him or her for quite a while, answering with “What took you so long? I missed you!” will be the perfect reply. Simply asking back with “How are you” without any greetings is also fine.

Answer:

speak nice

Step-by-step explanation:

Answer:

=2+2*4

As 2*4 is 8

=2+8

=10

The answer will be 10

Step-by-step explanation:

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Answer:

10

Step-by-step explanation:

First 2*4 is =8 then 2+8 will be 10

Answer:

h > 2

Step-by-step explanation:

It may look hard, but it is not really.

1. Solve

Here we have the equation 5+h>7.

All we have to do to find h is to subtract 5 from both sides.

5+h>7

-5     -5

When you subtract 5 from both sides, you get

5 - 5 = 0

7 - 5 = 2

All is left is 0+h>2, or h > 2.

2. Substitute

To make sure, (I do this but you can if you want to) I will substitute.

The values of h have to be greater than 2. So, Let's substitute 3.

5 + h > 7 --> 5 + 3 > 7

It's simple math.

5+3=8

8>7

Now, also to confirm, let's try a value less than 2, 1.

5 + h > 7

5 + 1 > 7

6 > 7 is not true, so it is confirmed that anything less than 2 is not true and anything greater is true.

Hence, h > 2

Hope this helps :)

-jp524

Answer:

1 1/5

Step-by-step explanation:

average book per week = the amount of books read / the amount of weeks

= 15/10 = 1 1/2

Answer:

Step-by-step explanation:

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Answer:

165 square cm

Step-by-step explanation:

Area of a circle is [tex]\pi r^2[/tex], where r = radius. We're given the radius as 7.25.

Therefore, the answer is 165 square cm.