How to find a domain and range and express it in a function

Answer:

as mentioned

JT=3x+5--------> (1)

CT=69----------> (2)

CJ=4x+8-------> (3)

Now,

JT=CT-CJ

3x+5 = 69 - (4x+8)

3x+5=69-4x-8

3x+5=61-4x

taking variables to one side.

3x+4x = 61-5

7x = 56

x = 56/7

x=8

put value of x in  (1)

JT=3(8) + 5

JT= 24+5

JT=29

Step-by-step explanation:

Answer:

Kayleigh Did u at least try Before u asked for help because u do know that u can always retake it multiple time I know because I have all 3 boxes filled in purple from just retaking it after I studied the answer.  

Step-by-step explanation:

So first just try doing it and then retaking it.

[tex]\\ \rm\longmapsto (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]\\ \rm\longmapsto (x,y)=\left(\dfrac{3+3}{2},\dfrac{6-2}{2}\right)[/tex]

[tex]\\ \rm\longmapsto (x,y)=\left(\dfrac{6}{2},\dfrac{4}{2}\right)[/tex]

[tex]\\ \rm\longmapsto (x,y)=(3,2)[/tex]

Answer:

C. 3ab ( 2b + 3a )

Step-by-step explanation:

substitution

Hi! I'm happy to help!

To first solve this, Let's see if we can simplify our expressions using the order of operations: our original expression cannot be simplified. The first expression cannot be simplified. The second expression we can multiply the outside by the parenthesis by the inside, same with the third and fourth.

(make sure everything outside of the parenthesis is being multiplied by each part inside of the parenthesis)

9a²b²

9a²b²

3ab(3b+2a)

ab(9b+6a)

b(9ab+6a²)

9ab²+6a²b

3ab(2b+3a)

ab(6b+9a)

b(6ab+9a²)

6ab²+9a²b

3a²b²(2b+3a)

a²b²(6b+9a)

b²(6a²b+9a³)

6a²b³+9a³b²

Now that we have all expressions fully simplified, let's compare to see which one matches.

Our first expression is nowhere close to what our original expression is, 1 is incorrect.

Our second expression is close, but it has the 9 and the 6 flipped, even if we rearrange the expression like this, 6a²b+9ab², it still doesn't match, so 2 is also incorrect.

Our third expression has the correct numbers, variables, placement, and exponents, so 3 is correct.

Our fourth expression has incorrect exponents, the expression made every variable multiplied by ab an extra time, so 4 is incorrect.

In summary, you should pick number 3, because it is equivalent.

I hope this was helpful, keep learning! :D

Answer:

Step-by-step explanation:

PLS MARK ME BRAINLEIEST AND FLW ME

Answer:

-2 3/5

Step-by-step explanation:

that is the answer yep

Hi ;-)

[tex]A=\frac{1}{2}h(b+c) \ \ /\cdot2\\\\h(b+c)=2A \ \ /:h; \ h\neq0\\\\b+c=\frac{2A}{h} \ \ /-c\\\\\boxed{b=\frac{2A}{h}-c}[/tex]

Answer:

[tex]a = \frac{1}{2} h(b + c) \\ \frac{2a}{h} = b + c \\ \frac{2a}{h} - c = b \\ thank \: you[/tex]

A function is positive where it is above the x-axis

The valid solution for positive demand are; t = 3, and t = 2

The reason the above values are correct is as follows:

Known parameters:

The given function of the demand is; [tex]C(t) = \mathbf{ -\sqrt{t^2 + 4 \times t - 12} +3}[/tex]

Where;

C(t) = The demand of the cellphone (in millions of people)

t = The number of months

The condition positive demand is C(t) ≥ 0

Therefore;

[tex]-\sqrt{t^2 + 4 \times t - 12} +3 \geq 0[/tex]

[tex]-\sqrt{t^2 + 4 \times t - 12} \geq -3[/tex]

[tex]\sqrt{t^2 + 4 \times t - 12} \leq 3[/tex]

t² + 4·t - 12 ≤ 9

t² + 4·t - 12 - 9 ≤ 0

t² + 4·t - 21 ≤ 0

(t - 3) × (t + 7) ≤ 0

∴ t ≤ 3, or t ≥ -7

At t = 2 < 3, we have;

C(2) = -√(2² + 4×2 - 12) + 3 = 3

At t = 1 < 3, the function is; C(1) = -√(1² + 4×1 - 12) + 3 (Is undefined)

Therefore, the valid solution for positive demand are;

t = 3, and t = 2

Learn more about the functions here:

https://brainly.com/question/24249596

Answer:

3,3

Step-by-step explanation:

Answer:

y = -1/2x - 8

Step-by-step explanation:

Slope: ( -7 - - 6 )/(-2 - - 4) = (-7+6)/(-2+4) = -1/2

Point : (-4,-6)

y - - 6 = - 1/2(x - - 4)

y+6= - 1/2(x+4)

y+6= - 1/2x - 2

y = - 1/2x -2 -8

y = -1/2x - 8

Answer:

distributive property

Answer:

-1.13

Step-by-step explanation:

Each space or unit in the number line is equidistant to 0.01.

Answer:

-1.13

Step-by-step explanation:

you can count the units from -1.1 and you will find out this

its the correct answer

You can even add 2 units from -1.1

-1.1 can also be written as -1.11

so -1.11 + 2

= -1.13

Answer:

a^5x^5, 10a^5x^4, 40a^5x^3

Step-by-step explanation:

Use pascal's triangle for the first one

(2+x)^5 * a^5

= x^5a^5 + 5*2^1*x^4*a^5 + 10*2^2*x^3*a^5 ...

= a^5x^5 + 10a^5x^4+ 40a^5x^3 ...

Answer:

x^2+1

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Add 2 to both sides, then divide both sides by 2.

[tex]2x \leq 13 \\x \leq 13/2[/tex]

x is less than or equal to 13/2, So the largest value is 13/2, or 6.5. Meaning the largest integer value is 6

Answer:

B)

1400m

1900m

2480m

C)

90cm

7.5cm

4.8cm

Answer:

distance formula attached...

it's approximately 8.6

Step-by-step explanation:

A) diameter = radius x 2

Diameter = 4,000 miles x 2 = 8,000 miles

B) distance around the Earth is the circumference.

Circumference = pi x diameter

Circumference = 3.14 x 8,000 = 25,120 miles

Answer:

Answer is 41.4 ft

Step-by-step explanation:

formula for triangle is 1/2 base x height

1/2x4.6x18

=4.6x9

=41.4

so the area = 41.4 ft

The height of the tower is 120 feet

The given parameters can be represented using the following ratio

Ratio = Height : Shadow

So, we have:

Tower : 80 ft = 6 ft : 4 ft

Express as fraction

Tower/80 = 6/4

Multiply both sides by 80

Tower = 120 feet

Hence, the height of the tower is 120 feet

Read more about equivalent ratio at:

https://brainly.com/question/2328454

#SPJ1

Answer:

x = 12

Step-by-step explanation:

27 + 3x - 1 = 5x + 2

27 + (3x - 3x) - 1 = (5x - 3x) + 2

27 - 1 = 2x + 2

26 = 2x + 2

(26 - 2) = 2x (+ 2 - 2)

24 = 2x

24/2 = 2x/2

12 = x

x = 12

Answer:

-19 + 8 - 18 = -29

he is 29 feet below sea level when he takes the photo

Step-by-step explanation:

Answer:

First choice is the right answer (-∞, -9] or (2, ∞)

Step-by-step explanation:

I. Solve 1st problem 2(2x - 1)  > 6

                 4x-2 > 6

                 4x > 6+2

                  x > 2

II. Solve 2nd problem x + 3 <=  -6

                 x <= -6-3

                 x <= -9

III. Prove the answer

         if x > 2 then x = 3

          2( 2(3)-1 ) > 6

          2(5) > 6

           10 > 6  so the answer is true

         if x <= -9 then x = -9

           -9 + 3 <= -6

                  -6 <= -6 so the answer is true

Hope that help :D

Answer:

1. 9.18

2. 9.3

3. 9.376

4. 9.51

Step-by-step explanation:

Answer:

120 fluid ounces

Step-by-step explanation:

1 cup = 8 fluid oz

Multiply 15 on both sides (since there is 3 pitchers and each is 5 cups, so 3 * 5 = 15 cups in total for all 3 pitchers) and we get 15 cups = 120 fluid oz.

So that's our answer

Hope this helped!

[I know this is a bit rude asking, but can I please have a Brainliest?]

Answer:

Parallel lines

Step-by-step explanation:

Answer:

150% of 2/3 km

150/100 * 2/3

50/50

= 1 km

Answer:

48-(19×2)

=48-38

=10

Reece has 10 points

Answer:

Reece now has 10 points.

Step-by-step explanation:

19 x 2 = 38, 48 - 38 = 10.

Answer:

-1 C

Step-by-step explanation:

Mean = Average

To find the mean simply add all the values and then divide that by the number of given values

So first add the 4 values together

1.5 + -2.6 + -3.4 + .5 = -4

Then divide the sum by the number of values ( there are 4 values )

-4 / 4 = -1

The mean temperature is -1