What is the first step in solving this quadratic equation? x^2+5x=6

a) combine like terms
2) set each factor equal to zero
c) subtract 6 from both sides to get it equal to zero.
d) factor

Answer:

option B and option C represent an exponential function.

Step-by-step explanation:

We know that following are some of the properties of different functions.

Linear Function:

The constant change in x and y

Quadratic Function:

The constant change in x

The constant 2nd differences in y

Exponential Function:

The constant change in x

The constant ratio in y

Determining the nature of the exponential function

Option A)

x       0          1          2         3           4

y       0          1           4         9          16

Here:

There is a constant change in x:

1 - 0 = 1;  2 - 1 = 1;  3 - 2 = 1;  4 - 3 = 1

BUT, there is NO CONSTANT ratio, as

1/0 = ∞,  4/1 = 4,  9/4 ; 16/9

Thus,

Table A DOES NOT represents an exponential function.

Option B)

x       0          1          2         3           4

y       1/3        1           3        9           27

Here:

There is a constant change in x:

1 - 0 = 1;  2 - 1 = 1;  3 - 2 = 1;  4 - 3 = 1

There is also a constant ratio, as

1/[1/3] = 3,  3/1 = 3,  9/3 = 3; 27/9 = 3

As there is constant change in x as well a constant ratio.

Thus,

Table B REPRESENTS an exponential function.

Option C)

x       0          1          2         3           4

y       5          5/2      5/4      5/8       5/16

Here:

There is a constant change in x:

1 - 0 = 1;  2 - 1 = 1;  3 - 2 = 1;  4 - 3 = 1

There is also a constant ratio, as

[5/2]/5= 1/2,

[5/4]/[5/2] = 1/2

[5/8]/[5/4] = 1/2

[5/16]/[5/8] = 1/2

As there is constant change in x as well a constant ratio.

Thus,

Table C REPRESENTS an exponential function.

Option D)

x       0          1          2         3           4

y       4.5       4        3.5       3          2.5

Here:

There is a constant change in x:

1 - 0 = 1;  2 - 1 = 1;  3 - 2 = 1;  4 - 3 = 1

BUT, there is NO CONSTANT ratio, as

4/4.5 = 4/[45/10] = 40/45 = 8/9

3.5/4 = [35/10]/4 = 35/40 = 7/8

3/3.5 = 3/[35/10] = 30/35 = 6/7

2.5/3 = [25/10]/3 = 25/30 = 5/6

Table D  DOES NOT represent an exponential function.

Conclusion:

Therefore, option B and option C represent an exponential function.

The functions that are exponential would be:

B). [tex]x[/tex]   0          1          2         3           4

   [tex]y[/tex]     1/3        1           3        9          27

C). [tex]x[/tex]       0          1          2         3           4

      [tex]y[/tex]     5          5/2      5/4      5/8       5/16

What are Exponential Functions?

B). Given that,

[tex]x[/tex]   0          1          2         3           4

 [tex]y[/tex]     1/3        1           3        9          27

As we see,

The value of [tex]x[/tex] undergoes a constant change of 1

[tex]1 - 0 = 1; \\2 - 1 = 1; \\3 - 2 = 1; \\4 - 3 = 1[/tex]

The ratio also remains constant

[tex]1/[1/3] = 3, \\3/1 = 3, \\9/3 = 3; \\27/9 = 3[/tex]

Thus, it exemplifies an exponential function.

Similarly,

C). [tex]x[/tex]       0          1          2         3           4

      [tex]y[/tex]     5          5/2      5/4      5/8       5/16

As we see,

The value of [tex]x[/tex] undergoes a constant change of 1

[tex]1 - 0 = 1; \\2 - 1 = 1; \\3 - 2 = 1; \\4 - 3 = 1[/tex]

The ratio also remains constant

[tex][5/2]/5= 1/2\\\\[5/4]/[5/2] = 1/2\\\\[5/8]/[5/4] = 1/2\\\\[5/16]/[5/8] = 1/2[/tex]

Thus, it exemplifies an exponential function.

Thus, options B and C are the correct answers as the other two have a constant change but not a constant ratio.

Learn more about "exponential function" here:

brainly.com/question/15352175

Answer: 3/4

Step-by-step explanation: 6 1/4 - 5 1/2

Answer: The answer is 1 2/8

Step-by-step explanation:

5 1/2    X    4/4     =   4/8               So the answer is 1 and 2/8

6 1/4     X   2/2     =   2/8

6 4/8

-

5 2/8

___

Answer:

Write the phrase as an expression. Then evaluate the expression when y=20 . the quotient of 40 and the difference of a number y and 16 Expression: When y=20, the value of the expression is

Answer:

The answer is All Solution

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

because 3×10 is 30 and so 3 out of 10 is 30

Answer:

11.5

Step-by-step explanation:

I hope this helps :)

Answer:

11.5

Step-by-step explanation:

have a great day <3

Answer:

50

Step-by-step explanation:

They need to sell 50 of them in order to raise $1000. Its simple math all you have to do is divide 1000 by 20 and poof you have the answer.

Answer:

28 people

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Answer:

OH DADDY FASTER

Step-by-step explanation:

OY PAPI MAS RAPIDO

Answer:

D

Step-by-step explanation:

7x - 4 = -18            (add 4 to both sides)

7x = -14                  (divide both sides by 7)

x = -2

the answer is D

Answer:

40yd

Step-by-step explanation:

Answer:

i got 28 yd2

Step-by-step explanation:

for the triangle: 6×4= 24, but since a triangle is half divide by 2

24/2=12

4×4= 16

12+16= 28

lmk if I'm wrong, i might be a little rusty

Answer:

36m-6

If im wrong im sorry

Answer:

(3x⁷)⁴ = 3⁴x²⁸ = 81x²⁸

because (3x⁷)⁴ = cx^n

=> c = 81

n = 28

Answer:

a. 0= 3^3-2(3)^2-2(3)-3

(set the equation to zero. x=3, so plug 3 into all of the x's ^^)

27-18-6-3

(do all of the multiplying and stuff ^^)

0

(combine like terms ^^)

Step-by-step explanation:

i hope this helps!!

The absolute value of a number is the distance from 0 to that number. The distance is positive, hence, the absolute value is always a positive number.

Replace the value of x:

[tex]| x - 8 |[/tex]

[tex]| -4 - 8 |[/tex]

[tex]| -12 | = \large{\boxed{12}}[/tex]

The absolute value of a number is the numerical value of the number, without regard to its sign.

Answer:

10x + 10

Step-by-step explanation:

Thank me later

Answer:

D f(x) = 4X - 3

Step-by-step explanation:

If you substitute the numbers of the table into the equation it works out, for example

2 x 4 = 8 - 3 = 5

3 x 4 = 12 - 3 = 9

4 x 4 = 16 - 3 = 13

Answer: 8m  -  10n

Step-by-step explanation:

Answer:

28m-10n

Step-by-step explanation:

start by multiplying 4 by (8m-7n) and 6 by (3n-4m)

This will then give you 32m-28n and 18n-24m

Then, add the two answers together

32m-28n+18n-4m

This will give you your final answer of: 28m-10n

Answer:

Step-by-step explanation:

Javier needs to work at least 6 more hours. He will earn:

He has already got:

He worked:

Total he will have worked:

Answer choices:

Becca's solution included all of the hours Javier worked on both weekends.

Javier worked a total of 23 hours on both weekends.

Javier earns $198 for 24 hours of work.

Javier only needs to work one more hour to have enough money for his trip.

Answer:

This is improper ma'am or sir , there is to many equal sighns , is there a mistake

Step-by-step explanation:

y= 7 x 3 +8           or     x =3 y 7 −24 7

(Sorry if its wrong )

Answer:

105

Step-by-step explanation:

all of the angles added will add up to equal 180 so we setup the equation

180=11x-5+6x+5+x and solve

step 1 combine like terms

180=18x

step 2

divide each side by 18

x=10

then we just plug in 10 to 11x-5

11x10=110-5=105

angle q=105

Answer:

I think it is -3,-2.......

Answer:

-9.504

Step-by-step explanation:

First you do 1.76 times 1.5 which is 2.64. Then you do 2.64 times negative 3.6 which would be -9.504.

Answer:

Step-by-step explanation:

brooooooooo wtfffffffff

Answer

x>21.2

Step-by-step explanation:

7.55x+100>160:

subtract 100 on both sides to get:

7.55x>60:

divide 7.55 on both sides:

x>21.2 is your answer  

Answer:

7.50h + 100 > 160

Step-by-step explanation:

7.50 is the hourly wage

h = hours he worked

add 100 once because it's his tips for the amount of time her worked

since he worked more than 160, you'll use the greater sign

then solve for h

h = 8 hours

Answer:

6

Step-by-step explanation:

x2

x=3

sub 3 into x

(3)2

=6

Answer:

D. A 270-degree rotation about point P

Step-by-step explanation:

I hope this helps!!!