What is the solution set for the inequality.

t - 9 ≤ 8

A

{18, 19, 20, 21}

B

{17, 3, 14, 25}

C

{17, 20, 30, 44}

D

{8, 11, 15, 17}

Answer:

5. k=−3

6.  x=4

7. n=−108

Step-by-step explanation:

5. -14k+29=71

Subtract 29 from both sides

-14k+29-29=71-29

Simplify

-14k=42

Divide both sides by -11

-14k/-14=42/-14

6. -33=19-13x

Subtract 29 from both sides

-14k+29-29=71-29

Simplify

-14k=42

Divide both sides by -14

-14k/-14=42/-14

Simplify

k=-3

7. 8+n/25=-4

Multiply both sides by 25

25(8+n)/25 = 25 (-4)

Simplify

8+n=-100

Subtract 8 from both sides

8+n-8=-100-8

Simplify

n=-108

IMPORTANT THIGNS TO REMEMBER:

ANSWER:

Dog has eaten 3 1/5 after 2 days!

There is 16 4/5 left in bag!

EXPLANATION:

Since she gives 1 3/5 to her dog everyday and their asking for 2 days you would multiply 1 3/5 × 2 OR add 1 3/5 + 1 3/5

Which would give you 3 1/5

So, the dog has eaten 3 1/5 lb. of dog food in 2 days.

However then, you would subtract 20 lb. - 3 1/5 lb. because there is 20 lb. dog food in all and the dog has eaten 3 1/5 of it. This would give you 16 4/5 lb.

Meaning there is 16 4/5 lb. left in the bag of dog food!

Answer:

The slope is -2/3 and the y intercept is 1

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

y = -2/3 x+1

The slope is -2/3 and the y intercept is 1

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:

380.133

Step-by-step explanation:

A = πr²

Hope this helps!

Pls 5 stars <3

Answer: y=20x+10

Step-by-step explanation:mark me brainlest please

Answer:

i think its 3 but dont quote me

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

9 can help in completing square formula

Answer:

Pen = y

25.00 + y

Step-by-step explanation:

expressions do not have equal signs.

25 more than the pen is 25 + y

the expression would be

25 + y

Answer:

we will say that x stands for the pen

x + $25 = cost of the pencil

Step-by-step explanation:

Answer:

x=-4

Step-by-step explanation:

3x-5=7x+11    Add like terms

   +5     +5

3x=7x+16       Do it again...

-7x   -7x

-4x=16        Now divide

x=-4

Answer:

The answer is x=-4

Step-by-step explanation:

3x-5=7x+11

1) you have to move the number that has a variable with it onto one side(3x and +7x) and the numbers that do not have a variable move them onto the other side (-5 and +11),but if you move them you have to change the sign like the underlined numbers below

3x-7x=5+11

2) you have to subtract 3x and-7x which it equals  -4x and then you have to add 5 and 11 which it equals 16

Equation now -4x=16

3) you have to divide -4x into -4x and also divide -4x into 16 which you will get x=-4

Hope it helps out! :)

Answer:

$26

Step-by-step explanation:

Answer:

Answer: It's easy, compare the same answers.

Step-by-step explanation:

A. 19+7= 16

B. 25+7= 32

C. 31+7= 38

D. 25+13= 38

Answer:

1. splitting water into hydrogen and oxygen

Step-by-step explanation:

Answer:

Photosynthesis takes place in two stages: the light-dependent reactions and the Calvin cycle. In the light-dependent reactions, which take place at the thylakoid membrane, chlorophyll absorbs energy from sunlight and then converts it into chemical energy with the use of water.

Step-by-step explanation:

can u pls go answer my question? Thank you and have a nice day :)

https://brainly.com/question/21589806

Answer:

b

Step-by-step explanation:

Answer:

C

=

(

a

,

b

)

the center coordinates of circle

a

=

2

 ,

b

=

−

1

  ,

r

=

8

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

Hopefully this can help

Answer:

1,1

Step-by-step explanation:

Answer:

The Answer is 6,866

Answer:

61

Step-by-step explanation:

We know from the equation 43 is 18 less then j. Therefore, if we add 18 to 43, we will get the value of j.

43 + 18 = 61

Volume = [tex] \sf{\pi r^2 h} [/tex]

[tex] = \sf{3.14 \times {17}^{2} \times 14 } = \sf{12704.45~cm^3} [/tex]

Answer:

Rotation 90 degrees counter clockwise, dilation of 6, translation down

Step-by-step explanation:

Answer:

likely

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Step-by-step explanation: