4.
Which equation is represented by the graph?



A. y = 1/2x^2 + 1

B. y = 2x2 − 1

C. y = x2 − 1

D. y = 2x2 + 1

Answer:

70% increase

Step-by-step explanation:

51-30 = 21

21/30 = 0.7

0.7 x 100

Answer:

a)   Number of laundry he can do with this box  = 78 laundries.

b)   Price he paying for each load =  0.256 $

Step-by-step explanation:

Total scoop contained in detergent box = 195 scoops.

 Scoops used by each load of laundry = 2 1/2 = 2 * 2 + 1/2 = 5/2 scoops = 2.5 scoops

 Number of laundry he can do with this box = 195/2.5 = 78 laundries.

Price of detergent box = 19.99 $

Price he paying for each load = Total price/ Number of loads

 = 19.99/78

= 0.256 $

Step-by-step explanation:

Step 1 :Equation at the end of step 1

 (((x3) +  7x2) +  4x) -  12

Step 2 :Checking for a perfect cube

2.1    x3+7x2+4x-12  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3+7x2+4x-12

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  x3+7x2

Group 2:  4x-12

Pull out from each group separately :

Group 1:   (x+7) • (x2)

Group 2:   (x-3) • (4)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

2.3    Find roots (zeroes) of :       F(x) = x3+7x2+4x-12

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -12.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,3 ,4 ,6 ,12

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -10.00    

     -2       1        -2.00        0.00      x+2

     -3       1        -3.00        12.00    

     -4       1        -4.00        20.00    

     -6       1        -6.00        0.00      x+6

     -12       1       -12.00        -780.00    

     1       1        1.00        0.00      x-1

     2       1        2.00        32.00    

     3       1        3.00        90.00    

     4       1        4.00        180.00    

     6       1        6.00        480.00    

     12       1        12.00        2772.00    

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

  x3+7x2+4x-12

can be divided by 3 different polynomials,including by  x-1

Polynomial Long Division :

2.4    Polynomial Long Division

Dividing :  x3+7x2+4x-12

                             ("Dividend")

By         :    x-1    ("Divisor")

dividend     x3  +  7x2  +  4x  -  12

- divisor  * x2     x3  -  x2        

remainder         8x2  +  4x  -  12

- divisor  * 8x1         8x2  -  8x    

remainder             12x  -  12

- divisor  * 12x0             12x  -  12

remainder                0

Quotient :  x2+8x+12  Remainder:  0

Trying to factor by splitting the middle term

2.5     Factoring  x2+8x+12

The first term is,  x2  its coefficient is  1 .

The middle term is,  +8x  its coefficient is  8 .

The last term, "the constant", is  +12

Step-1 : Multiply the coefficient of the first term by the constant   1 • 12 = 12

Step-2 : Find two factors of  12  whose sum equals the coefficient of the middle term, which is   8 .

     -12    +    -1    =    -13

     -6    +    -2    =    -8

     -4    +    -3    =    -7

     -3    +    -4    =    -7

     -2    +    -6    =    -8

     -1    +    -12    =    -13

     1    +    12    =    13

     2    +    6    =    8    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  2  and  6

                    x2 + 2x + 6x + 12

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x+2)

             Add up the last 2 terms, pulling out common factors :

                   6 • (x+2)

Step-5 : Add up the four terms of step 4 :

                   (x+6)  •  (x+2)

            Which is the desired factorization

Final result :

 (x + 6) • (x + 2) • (x - 1)

Answer:

Step-by-step explanation:

first such theorem is the side-angle-side (SAS) theorem: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent. Following this, there are corresponding angle-side-angle (ASA) and side-side-side (SSS) theorems.

Congruent shapes have equal corresponding sides and angles.

The congruence theorem that can be used to prove is SSS

[tex]\triangle MLQ \cong \triangle NPQ[/tex] means that, the triangles are congruent.

From the question, the following sides are congruent

The above highlights mean that the theorem can be used to prove that the triangles are congruent is SSS.

This is so, because all corresponding sides of both triangles are equal.

Read more about congruent triangles at:

https://brainly.com/question/11329400

Answer:

your answer would be 0.25 cents per egg

Step-by-step explanation:

Step-by-step explanation:

Surface area of what shape or solid ?

72 is answer

as it got down by 4% every year

in 2011 it was 75 means in the next year it will be 75-(75*4/100) that is equal to 72

The robbery rate in year 2012 was 72.

A percentage is a number or ratio that can be expressed as a fraction of 100.

Given that in a city that robbery rate was 75 in 2011 was 75, and then went down by 4% in 2012.

We need to find the robbery rate of the city in 2012.

So, here went down means it decreased by 4%,

That mean, now the robbery rate will be (100-4) = 96% of 75.

Therefore, the robbery rate in year 2012 was =

0.96 x 75 = 72

Hence the robbery rate in year 2012 was 72.

Learn more about percentages click;

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Answer:

uno=dose

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

middle of 35 and 45

   35                 40      45

fail by 20      pass  extra 20

and the total marks are

400

that means

every 1% is equivalent to 4 marks

Step-by-step explanation:

it is Supplementary Angles

Answer:

7x+5x-5=-5+12x

18x+5x-12x=5-5

0=0

6y-30=20+6y

6y-6y=50

0=50??

i didn't understand what's the question. i guess equations but weird answers

[tex] \sf 3a. \quad \frak{7x + 5(x - 1) = - 5 + 12x} \\ \\ : \implies \frak{7x + 5x - 5 = - 5 + 12x} \\ \\ : \implies \frak{7x + 5x - 5 = - 5 + 12x} \\ \\ : \implies \frak{12x - \cancel5 + \cancel5=12x} \\ \\ : \implies \frak{ \cancel{12x} - \cancel{12x} = 0} \\ \\ \star \qquad \underline{ \blue{\frak{x = undefined}}}[/tex]

[tex] \sf3b. \quad \frak{6(y - 5) = 2(10 + 3y)} \\ \\ \dashrightarrow \frak{6(y - 5) = 2(10 + 3y)} \\ \\ \dashrightarrow \frak{6y - 30= 20 + 6y} \\ \\ \dashrightarrow \frak{0y = 50} \\ \\ \star \qquad \underline{ \blue{\frak{y = undefined}}}[/tex]

Answer:

0.859493

0.859

Hope This Helps!!!

Answer:234

Step-by-step explanation:

rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Answer:

Step-by-step explanation:

If

a

=

−

1

,

what is the value of the expression

3

−

a

(

8

−

2

a

)

?

−

7

− − 7

−

2

- 2

10

10

13

Evaluating an algebraic expression is the process of determining the value of an expression when a specified integer is used to replace a variable.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases. A phrase in language may contain an action on its own, but it does not constitute a whole sentence.

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.

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Answer:

95-9 (3+7)

95-9 (10)

86 (10)

= 8600

Step-by-step explanation:

I hope this was helpful!

God bless you!

Answer:

13/6

Step-by-step explanation:

Substitue in 5 for x in 3x.

3x(5)= 15

15-2=13

13/6 or 2.16

f(x)=-x+10

well looking at the difference on the x and y coordinates, it is a difference of 4 and-4, making the slope -1. because it is next to x on the function notation you can just say -x, then insert the y and x coordinates to solve for y intercept

Answer:

A

Step-by-step explanation:

3m+8=20

3m=20-8

3m=12

m=4

Answer:

Option C is the answer.

Step-by-step explanation:

Let's first simplify the given problem.

-16 - 9

=> -25.

Now, let's see if Option C equals -25.

-16 + (-9)

=> -16 - 9

=> -25.

Therefore, Option C is correct.

[tex]Hiya![/tex]

Sokka is here to help!!

Here's a explanation!

[tex]-16-9[/tex]

[tex]-16-9=-25[/tex]

Hopefully, this helps you!!

[tex]Sokka[/tex]

Answer:

C. y = 8x

Step-by-step explanation:

When x = 1

y = 8(1) = 8

when x = 2

y = 8(2) = 16

x increased by 1

y increased by 8

Answer:

126

Step-by-step explanation:

14 times 9

Answer: 15

Step-by-step explanation:

casue

Answer:

x = 1

Lemme know if you need the steps.

Please mark brainliest if possible :)

Answer:

the correct answer is A.I can’t be confident at all; this is about as close to a random guess as you can get.

Step-by-step explanation:

hope this helps

Answer:

It is 19

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

it just is

Step-by-step explanation:

first, find a common denominator

3/7 = 9/21

3/21 stays the same.

then, add

9/21 + 3/21 = 12/21

and if possible, simplify

12 and 21 are both divisible by 3, so divide by 3.

12/3= 4, 21/3=7

so, 3/7 + 3/21 = 4/7

Answer:

4/7

Step-by-step explanation:

The fraction 3/21 can be simplified. The 3 divides 21 which 7, so the fraction can be written as 1 /7. Now, we just have:

3/7 + 1/7

We need to add the numerators to get one fraction:

4/7

Answer:

1/d^16

Step-by-step explanation:

Hope this helped!

Can I get brainlist? If not that's okay!

Answer:

A

Step-by-step explanation: