Combine like terms, showing one step per line. Justify each step using a rule of algebra or "Combining Like Terms." You may need to add extra rows. Expression Justification 7x + 3 + 9x + 15 Given 7x

The roots of the equation is x= -1 + i√6 or x= -1 - i√6/2.

A quadratic equation is of the form ax² + bx + c = 0 , which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem.

Given:

x² + 2x + 7 = 0

now, using Discriminant Method

D= √b² - 4ac

D= √4- 4(1)(7)

D= √-24

D= 2i√6

Now, x= -b± D/2a

x= -2 ± 2i√6/2

x= -2 + 2i√6/2  or x= -2 - 2i√6/2

x= -1 + i√6 or x= -1 - i√6/2

Hence, the roots of the equation is x= -1 + i√6 or x= -1 - i√6/2.

Learn more about quadratic equation here:

https://brainly.com/question/17177510

#SPJ2

Answer:

6d+49.8

If looking for d=8.316 but 6 is repeated

Step-by-step explanation:

Answer:

6 d+49.8

Step-by-step explanation:

I simplify

Answer:

A) 11/P + 6

Let Ben’s age now be B

Anita’s age now is A.

(A - 6) = P(B - 6)

But A is 17 and therefore 11 = P(B - 6)

11/P = B-6

(11/P) + 6 = B

please make as brainleylist

Answer:

The numbers are 9 + 11 + 13 + 15.

Step-by-step explanation: The equation for this is simple.

Take x as the smallest number of the 4 numbers. The second number would be x +2, third number is x+4, and the fourth number is x+6. you add these together, and you get: 4x +12 = 48, you then solve this as a linear equation. 48-12 = 36. Then you divide by 4, which gives you 9 as the smallest number of the 4 numbers. Remember that the second number is  9+2=11, third is 9+4=13, and the fourth is 9+6=15. If you add these together you get 9+11+13+15=48.

Answer:

try the last one

Step-by-step explanation:

Answer:

7.5 x 12 = 90 to find out how many boxes

Then take the boxes x 1.3 = 117 pounds

Answer:

Déjà Vu

Step-by-step explanation:

i ve been reading this test before

Answer:

the second one

Step-by-step explanation:

that's the answer

Answer:

9y+7=2y+98

7y+7=98

7y = 91

y = 13

m<PDV = 2y+98

             = 2(13)+98

             = 26+98

             = 124

Answer:

326

Step-by-step explanation:

Its hard to explain but you get the idea lol

Answer:

17

Step-by-step explanation:

Answer:

My answer got deleted for some reason so lemme try again:

Answer:

5. A

6. B

7. 115

8. 97

9. 123

Step-by-step explanation:

5. Corresponding angles are angles that in the same position. Examples of corresponding angles in this diagram would be, <1 and 5, <2 and <6, etc

6. Supplementary angles add up to 180 degrees. Angles < and <3 (answer choice B) are vertical angles (angles who equal each other) so they are not supplementary angles

7. m<7 and m<2 are alternate exterior angles which means that they equal each other. Another example of this angle pair is m<1 and m<8

8. m<5 and m<3 are same side interior angles, which means that they add up to 180 degrees. Another example of this angle pair is <4 and <6

9. m<1 and m<6 add up to 180 degrees.

Answer:

x(8xsquare+6x-20)

Step-by-step explanation:

Answer:

[tex]x(2x+4)(4x-5)[/tex]

Step-by-step explanation:

[tex]x(8x^{2} +6x-20)\\x(2x+4)(4x-5)[/tex]

Answer:

Infinity

Step-by-step explanation:

Let one point is x1, y1 (5, -3)

the other is x2, y2 (5,4)

then slope = (y1-y2)/(x1-x2)

=(-3-4)/(5-5)

=-7/0

=Infinity

So slop is infinite

Answer:

Lesson 2 and metric conversions from Module 2. ... Problem 2: Convert hours to minutes. ... of minutes in one hour. How many minutes are in an hour? 0. 1. 2. 3. 4. 5. 6. 7. 8.

The complete table is given below. Then the correct option is C.

       Hours     Minutes

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The following is a conversion table for hours and minutes.

We know that in one hour, there are 60 minutes.

In two hours, there are 120 minutes.

In three hours, there are 180 minutes.

Similarly, in four hours, there are 240 minutes.

Then the complete table is given below.

Hours     Minutes

  2             120

  3             180

  4             240

Then the correct option is C.

The complete question is given below.

The following is a conversion table for hours and minutes. Which numbers belong in the hour's column?

Hours        Minutes

                    120

                    180

                    240

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

Answer:

(1,1)

Step-by-step explanation:

Answer:

kj gfbdhngfbd

Step-by-step explanation:

Answer:

Following are the solution to this question:

Step-by-step explanation:

C'(t) was its time, in years, or t shift of cash per unit. That C'(1980) meaning, therefore, becomes the change of cashier's population to t = 1980.  

They could either use t = 1970 or t = 1990 to approximate the C'(1980) price. When using t = 1970:

[tex]C'(1980) = \frac{[C(1980) - C(1970)]}{[1980 - 1970]}\\\\[/tex]

              [tex]= \frac{(571 - 265)}{10}\\\\ = \$ \ 30.6 \\[/tex]

t = 1990:

[tex]C'(1980) = \frac{[C(1980) - C(1990)]}{[1980 - 1990]}[/tex]

              [tex]= \frac{(571 - 1063)}{ -10} \\\\= \$ \ 49.2[/tex]

Answer:

C = 306 +1.3x

Step-by-step explanation:

In 1950 the average atmospheric concentration of carbon dioxide was 306 parts per million with an estimated increase of 1.3 parts per million every single year. Therefore we can use these numbers to create the following mathematical model.

C = 306 +1.3x

This model multiplies the number of years after 1950 (x) by the estimated carbon dioxide increase per year in parts per million, and finally adds the initial atmospheric concentration of carbon dioxide from 1950 to calculate the current atmospheric concentration of carbon dioxide

Answer:

It should be -36 because there are no parentheses if it was (-6)² then it would be 36 but since there are no parentheses its like -(6²) which is -36

Answer: the answer is -36

Answer:

-64

Step-by-step explanation:

I used a calculator lol.

Answer:

2/9 should be the answer.

Step-by-step explanation:

In this example, the first thing we have to do is convert 3 to a fraction so that we can work with it, so 3 with turn into 3/1. Now we set up the problem using the keep change flip method. You 2/3 as it is, and you change the sign to multiplication. Then you flip the second fraction which is 3/1 to get 1/3. Now you have 2/3 x 1/3. Now multiply them and simplify if possible.

Step-by-step explanation:

Option (1)

[tex]\dfrac{1-x^2}{1-2x}[/tex]

Put x = -2, let the value is y such that,

[tex]y=\dfrac{1-(-2)^2}{1-2(-2)}\\\\=\dfrac{1-4}{1+4}\\\\=-0.6[/tex]

Option (2)

[tex]\dfrac{x^2-1}{1-2x}[/tex]

Put x = -2, let the value is y such that,

[tex]y=\dfrac{(-2)^2-1}{1-2(-2)}\\\\=\dfrac{4-1}{1+4}\\\\=0.6[/tex]

Option 3)

[tex]2x^2+\dfrac{x}{2}[/tex]

Put x=-2 such that,

[tex]y=2(-2)^2+\dfrac{(-2)}{2}\\\\=7[/tex]

Option (4)

[tex]3x^2+\dfrac{1}{2(x-1)}[/tex]

Put x =-2 such that,

[tex]y=3(-2)^2+\dfrac{1}{2((-2)-1)}\\\\=11.83[/tex]

Ascending values : -0.6,0.6,7,11.83

or

[tex]\dfrac{1-x^2}{1-2x}[/tex]   <  [tex]\dfrac{x^2-1}{1-2x}[/tex]   <   [tex]2x^2+\dfrac{x}{2}[/tex]   <   [tex]3x^2+\dfrac{1}{2(x-1)}[/tex]

Answer: D

Step-by-step explanation:

No, the addition symbol was dropped in the second expression is not correct.

An expression is combination of variables, numbers and operators.

No, Vance did not apply the associative property correctly.

The associative property states that the grouping of terms in an expression can be changed without affecting the value of the expression.

However, in this case, Vance changed the order of the terms, but did not actually group them in a different way.

Additionally, Vance dropped the subtraction symbol in the second expression, which is incorrect.

The correct equivalent expression using the associative property would be:

(4.5 m + 7/8) - 9 = 4.5 m + (7/8 - 9)

From there, we could simplify the expression further, if needed.

Hence, No, the addition symbol was dropped in the second expression.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ3