What is the missing y value in the table

Answer:

a = 2

b = - 6

c = 0

Step-by-step explanation:

Since, -3,0 and 2 are the zeroes of the polynomial

[tex] Plug \:x = 0\: in \:p(X) \\

\implies p(0)= 0\\

\therefore 0= 0^3 +(a-1)(0)^2 +b(0)+c\\

\therefore 0= 0 +(a-1)\times 0 +b(0)+c\\

\therefore 0= 0 +0+0+c\\

\red{\bold{\therefore 0=c}}.....(1)\\\\

p(X)=x³+(a-1)x²+bx+c. \\

Plug \:x = -3\: in \:p(X) \\

[tex] \implies p(-3)= 0\\

\therefore 0= (-3)^3 +(a-1)(-3)^2 +b(-3)+c\\

\therefore 0= -27 +(a-1)\times 9 +b(-3)+c\\

\therefore 0= - 27 +9a-9 - 3b+c\\

\therefore 0= - 36+9a-3b+c\\

\therefore 36 =9a-3b+c... (2)\\

Plug \:c= 0\: in \:equation \: (2)\\

36= 9a - 3b + 0\\

36= 9a - 3b\\

36= 3(3a - b) \\

\purple {\bold{12 = 3a - b}} .... (3)\\\\

Plug \:x = 2\: in \:p(X) \\

\implies p(2)= 0\\

\therefore 0= 2^3 +(a-1)(2)^2 +b(2)+c\\

\therefore 0= 8 +(a-1)\times 4 +b(2)+c\\

\therefore 0= 8 +4a-4+2b+c\\

\therefore 0= 4 +4a+2b+c\\

\therefore - 4=4a+2b+c.....(4)\\

Plug \:c= 0\: in \:equation \: (4)\\

- 4 = 4a +2b+0\\

-4= 2(2a+b)\\

\orange{\bold{-2=2a + b}} .......(5)\\\\[/tex]

Adding equation (3) and (5), we find:

12 = 3a - b

-2 = 2a + b

_________

10 = 5a

10/5 = a

a = 2

Plug a = 2 in equation (5)

-2= 2(2) + b

-2 = 4 + b

-2 - 4 = b

-6 = b

b = - 6

Answer:

i THINK 43% but im not for sure

Step-by-step explanation:

14% of 50 is 7

so 50-7=43

43(percent there)+7(percent gone)=50 (number of students)

SO 43% is still there.  

SORRY IF IM WRONG have a good night :)

Answer:

b // f

c // e

Step-by-step explanation:

b // f

89.5 = 180 - 90.5

89.5 = 89.5       {corresponding angles are congruent.So b // f}

c//e

91.5 = 180 - 88.5

91.5 = 91.5    {corresponding angles are congruent.So b // f}

Answer:

If an atom has the same number of protons and electrons then it is electrically neutral. Not all atoms have to have the same number of atoms because the number of electrons can be changed with the element remaining the same. Protons have a positive charge while electrons have a negative charge. The net charge is dependent on the number of protons and electrons. If it has more protons it would have a higher amount of positive charge therefore making it a positive net charge. The same thing applies with electrons just opposite.

If the atom has no charge (neutral) then there are the same number of protons and electrons. The positive protons cancel out with the negative electrons to produce this neutral state. We can say the net charge is 0 here.

Now if you take away one or more electrons, then there will be more positive protons to outnumber the negative electrons. Overall, the net charge will be positive. For example, if the atom loses 3 electrons, then you'll have a net charge of [tex]3^{+}[/tex]. These positively charged ions are known as cations. You pronounce this as "cat-ion" instead of "catshun".

On the flip side, if you add electrons to an atom, then you'll make the net charge overall to be negative. So let's say we add 4 electrons. We'll have the net charge be [tex]4^{-}[/tex] and this is an anion. To pronounce "anion" you would say "an ion" instead of "anyun".

---------------

In short, the number of protons and electrons are the same if the net charge is 0 and we're not dealing with ions. If you are dealing with ions, then the two counts will not be the same. Note how in the examples above, I didn't change the number of protons. Doing so would change the overall element entirely.

Answer: x= -1

Step-by-step explanation:

1 Subtract 44 from both sides.

x=3-4x=3−4

2 Simplify  3-43−4  to  -1−1.

x=-1x=−1

Answer:  x > -9     and x [tex]\leq[/tex] -1

Step-by-step explanation:

-5 < x + 4[tex]\leq[/tex] 3   To solve the inequality, subtract 4 from both sides or u can divide the whole thing into two inequalities like, -5 < x + 4    and x + 4 [tex]\leq[/tex] 3  and solve for each other.

-5 < x + 4 [tex]\leq[/tex] 3

-4         -4    -4

-9 < x [tex]\leq[/tex] -1        

or  

-5 < x + 4                     x +4 [tex]\leq[/tex] 3

-4          -4                          -4    -4

 -9 < x                              x ≤ -1

Answer:

Nonlinear

Step-by-step explanation:

This is because the x^2. If there are any exponets, the equation would be considered nonlinear.

Hope this helps!

Answer:

Yes it is

Step-by-step explanation:

The equation is proportional since as the value of x is increasing, y is also increasing

Equations can either be direct, inverse, or even joint. For instance, if y is directly proportional to x, this is expressed as:

y = kx

k is the variation constant

For a proportional equation, there an increase in a variable will lead to a decrease or increase in other variables

Given the expression y = 9x + 1/2,

when x = 1

y = 9(1) + 1/2

y = 9.5

when x = 2

y = 9(2) + 1/2

y = 18.5

We can see that the equation is proportional since as the value of x is increasing, y is also increasing

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Answer:

14. :D

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Step-by-step explanation:

2002 can be rounded to a compatible number such as 2000.

2000 / 2 = 1000.

They each received around 1000 marbles.

Answer:

The answer is

N+ 1 = 3+2/2

=3

Step-by-step explanation:

The answer is 3

This is a odd number

Answer:

N + 1 = 3+ 2/2 =3

Step-by-step explanation:

I'm pretty sure is odd because it has the number three(3) and the number three (3) is odd.

Answer: Yes, round it to the nearest tenth

Answer: 0.3

Step-by-step explanation: Because thats the answer

Answer:

0.3

Step-by-step explanation:

This is because, when you divide 3/9 it gives you 0.33333.. (Repeating, Irrational number) So you would round to the nearest tenths, which would give you 0.3 because the hundredths place isn't 5 or over. Hope this helps :)

Answer:

- 8° per hour

Step-by-step explanation:

Given that:

Station A = - 6°

Station B = 2°

Rate of temperature change = x° / hour ; which is the same at both stations

Temperature at station A 3 hours after the recording is the same as the temperature in station B 4 hours after the recording ;

Temperature change in Station A:

-6 + 3x

Temperature change in station B:

2 + 4x

Temperature change in A = temperature change in B

-6 + 3x = 2 + 4x

Collect like terms

3x - 4x = 2 + 6

- x = 8

x = - 8

Hence, the rate of temperature change x in both stations is - 8° per hour

The amount of the school supply kit after the discounted price is $ 20

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of the school supply kit be A

The value of A is $ 25

The percentage discount of the school supply kit = 20 %

So , the value of the percentage amount is given by the equation

The cost of the school supply kit after discount = ( amount of the school supply kit - ( percentage discount of the school supply kit x amount of the school supply kit ) )

Substituting the values in the equation , we get

The cost of the school supply kit after discount = 25 - ( 20/100 x 25 )

The cost of the school supply kit after discount = 25 - ( 25 x 0.2 )

The cost of the school supply kit after discount = 25 - 5

The cost of the school supply kit after discount = $ 20

Therefore , the discounted price is $ 20

Hence ,

The amount of the school supply kit after the discounted price is $ 20

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Answer:

sir the picture is black

Step-by-step explanation:

Final Answer: [tex]s = -\frac{3}{2}[/tex]

Steps/Reasons/Explanation:

Question: Equations with variables on both sides: decimals and fractions, algebra 2. [tex]0.5s + 1 = 7 + 4.5s[/tex].

Step 1: Subtract [tex]0.5[/tex] from both sides.

[tex]1 = 7 + 4.5s - 0.5s[/tex]

Step 2: Simplify [tex]7 + 4.5s - 0.5s[/tex] to [tex]7 + 4s[/tex].

[tex]1 = 7 + 4s[/tex]

Step 3: Subtract [tex]7[/tex] from both sides.

[tex]1 - 7 = 4s[/tex]

Step 4: Simplify [tex]1 - 7[/tex] to [tex]-6[/tex].

[tex]-6 = 4s[/tex]

Step 5: Divide both sides by [tex]4[/tex].

[tex]-\frac{6}{4} = s[/tex]

Step 6: Simplify [tex]\frac{6}{4}[/tex] to [tex]\frac{3}{2}[/tex].

[tex]-\frac{3}{2} = s[/tex]

Step 7: Switch sides.

[tex]s = -\frac{3}{2}[/tex]

~I hope I helped you :)~

3 ft

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

I don’t know if this half the problem or something because you only need to know what a equals but...

1. Substitute x for 4 since x=4... so the equation would then be (4)^2+10(4)-20

2. You simplify so 4 squared is 16 because when you square something you times it by it self so 4^2 is simply 16 because 4*4=16 then 10*4 is 40 so then you get 16+40-20

3. So you can simplify that again to 56-20 and then to 36

Sorry I’m really bad at explaining but I hope this helps

Answer:

D- 3 hours long they were traveling

Step-by-step explanation:

27÷ 9= 3

36÷ 12= 3

Answer:

2.71

Step-by-step explanation:

Its as simple as plugging in the values of y and z.

THis would give you

      -1.46 + (-3.82) + 7.99

This plus^ you can think about having a 1 in front of it like

-1.46 + 1 (-3.82) +7.99

Multiple positive 1 with -3.82 1 times any value is that number, and positive times negative is negative. then looking like this:

-1.46 - 3.82 + 7.99 plug into a calculator and you get +2.71

Answer:

2.71

Step-by-step explanation:

We'll add the first value and the value in parentheses, being -3.82, then we'll add y, which is a negative because "-y", being -1.46. That becomes -5.28.

We'll then take our -5.28 and add 7.99, which will become 2.71.

Therefore, 2.71 is your answer.

Answer:

one solution

Step-by-step explanation:

No solution is when they don't intersect at all. Infinite solutions is if the two lines are on top of each other.

Answer:

one solution

Step-by-step explanation:

if they intersect, they become one solution, if they don't intersect, than there are no solutions. If the graphs of the equations are the same, there are infinite solutions.

Answer:

39 and 86.

Step-by-step explanation:

39 and 86 equal 125 when added. When 47 is subtracted from 86 you get 39.

Answer:

7.436 rounded to 7.44 hope this helps!

Step-by-step explanation:

7.7 + 6 2/3= 7.436

Answer:

a) 44[tex]\sqrt{3}[/tex]/3 feet

b) .3 minutes

Step-by-step explanation:

We know all three of the angles: 30 60 90. So we can divide 22 by [tex]\sqrt{3}[/tex], and then multiply that number by 2. We cannot have a radicand in the bottom, so multiply the denominator and numerator by

for b), simply divide a) by 75 ft/min, which is approximately  .3 minutes.

Answer:

Option (E)

Step-by-step explanation:

[tex]\frac{a}{b}=\frac{c}{d}=k[/tex]

[tex]\frac{a}{b}=k[/tex]

[tex]b=\frac{a}{k}[/tex] ------(1)

[tex]\frac{c}{d}=k[/tex]

[tex]d=\frac{c}{k}[/tex] -------(2)

Since, [tex]\frac{6a+24}{md+6b}=k[/tex]

By substituting the values of b and d from equation (1) and (2),

[tex]\frac{6a+24}{\frac{mc}{k}+\frac{6a}{k}}=k[/tex]

[tex]\frac{k(6a+24)}{6a+mc}=k[/tex]

[tex]\frac{6a+24}{6a+mc}=1[/tex]

6a + 24 = 6a + mc

mc = 24

m = [tex]\frac{24}{c}[/tex]

Therefore, Option (E) will be the correct option.

Answer:  5x +17

Step-by-step explanation:

2(x +7 )  + 3(x +1)  Apply the distributive property to break it down

2(x) + 2(7) + 3(x) + 3(1)

2x + 14 + 3x + 3      Now combine like terms

  5x + 17

Answer:

2x+14+3x+3

5x+17

Step-by-step explanation: