Please help
What is the domain and range of the function

Answer:

3/5

Step-by-step explanation:

7x - 2 = 5x + 14

7x - 5x = 14 + 2

2x = 16

x = 16/2

x = 8

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Hope it helps ⚜

Answer:

x = -8

Step-by-step explanation:

[tex]7x - 2 = 5x + 14 \\ 5x - 7x = 14 + 2 \\ - 2x = 16 \\ \frac{ - 2x}{ - 2} = \frac{16}{ - 2} \\ x = - 8[/tex]

Answer:

  (a) f^-1(x) = 1/4x -3

  (b) f is not the inverse of g

Step-by-step explanation:

The inverse of function f can be found by solving ...

  x = f(y)

  x = 4y +12

  x -12 = 4y

  x/4 -3 = y

The inverse of function f is ...

  f^-1(x) = 1/4x -3

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g(x) ≠ f^-1(x), so g^-1(x) ≠ f(x). Function f is not an inverse of g.

_____

Additional comment

Function g is a quadratic, so it doesn't have an inverse function, except on a restricted domain.

Because g is 2nd degree, any inverse relation will involve a 1/2 power (square root). Both f and its inverse are linear functions, so cannot be inverses of g.

Answer:

y = 2/5x

Step-by-step explanation:

in order to get the y-intercept (b) , the value of x has to be zero. we already have the y-intercept which is zero. so far, the equation looks like this:

y = mx + 0

in order to find the slope, we'll do y2-y1 / x2 - x1:

2-0

5-0

m is 2/5, so the answer is:

y = 2/5x

Step-by-step explanation:

A1

1 yard = 3 feet

1 foot = 12 inches

therefore,

100 yards = 100×3×12 inches = 3600 inches

A2

again, 1 yard = 3 feet

8 ft = 8/3 = 2.67 yards = 2 2/3 yards

A3

1 gallon = 8 pints

A4

1 liter = 1000 milliliters (remember, "mili" means 1/1000).

therefore,

2.2 liters = 2.2×1000 = 2200 milliliters

A5

again, 1 liter = 1000 milliliters

therefore

1 milliliter = 1/1000 liter

670 milliliters = 670 × 1/1000 liter = 670/1000 liter =

= 0.67 liter

B1

1 kg (kilogram) = 1000 grams ("kilo" means 1000).

we have 3 layers.

each layer weighs (cake plus icing)

1/2 kg + 100 g = 500 g + 100 g = 600 g

3 layers then weigh

3×600 g = 1800 g

the additional candle weighs 250 g.

so, the total is

1800 g + 250 g = 2050 g = 2.05 kg

B2

area is 110 m².

1 m = 100 cm ("centi" means 1/100).

and 1 m² is then 100×100 = 10000 cm².

so, the area in cm² is

110 × 10000 = 1,100,000 cm²

the top area of one brick = 10 × 20 = 200 cm²

so, we need

1,100,000 / 200 = 11,000 / 2 = 5500 bricks

Answer:

y = m x + b equation of a straight line

m m' = -1    condition for perpendicular lines

If y = 4 x - 7     then m = 4 so m' = -.25

Y = -.25 X + A      we need to find A

A = Y + .25 * 8 = 2 + 2 = 4

Y = -.25 X + 4

Check:

2 = -.25 * 8 + 4 = -2 + 4 = 2

Answer:

12$ tip together is will be 92$

Step-by-step explanation:

Answer:

1. B - 12.5 miles per hour

2. A - 0.36 hours

Step-by-step explanation:

Solution is already given:

Graph the inequality:

And you are done

So Graph it

Answer:

the answer is d

Step-by-step explanation:

Answer:

$81.6

Step-by-step explanation:

You multiply 0.2 by 68, in which you will get 13.6, and then you add that to 68.

Answer:

47.25

Step-by-step explanation:

Heres how I found the answer:

if sales tax is 5%, then we need to find 5% of 45 and add it to 45!

5% of 45= 2.25

(I found this by doing 45*5%, or 45*.05)

Now, add 2.25 to 45!

Total bill=47.25 dollars

Hope I could help!

Applying derivative concepts, the y-intercept of the line tangent to the curve at (2√3, √3) is: [tex]y = \sqrt{3}[/tex]

The equation of the line is:

[tex]y - y_1 = m(x - x_1)[/tex]

In which:

In this problem, point [tex](2\sqrt{3}, \sqrt{3})[/tex], hence [tex]x_1 = 2\sqrt{3}, y_1 = \sqrt{3}[/tex]

To find the value of [tex]\theta[/tex], we have that:

[tex]3\tan{\theta} = \sqrt{3}[/tex]

[tex]\tan{\theta} = \frac{\sqrt{3}}{3}[/tex]

[tex]\theta = \frac{\pi}{6}[/tex]

Then, for the slope:

[tex]\frac{dy}{d\theta} = 3\sec^{2}{\theta}[/tex]

[tex]\frac{dx}{d\theta} = 3\sec{\theta}\tan{\theta}[/tex]

Considering [tex]\theta = \frac{\pi}{6}[/tex]:

[tex]\frac{dy}{d\theta} = 3\left(\frac{2}{\sqrt{3}}\right)^2 = 2[/tex]

[tex]\frac{dx}{d\theta} = 3\left(\frac{2}{\sqrt{3}} \times \frac{\sqrt{3}}{3}\right) = 2[/tex]

[tex]m = \frac{\frac{dy}{d\theta}}{\frac{dx}{d\theta}} = 1[/tex]

Then, the equation of the line is:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - \sqrt{3} = x - 2\sqrt{3}[/tex]

[tex]y = x - \sqrt{3}[/tex]

The y-intercept is the value of y when x = 0, hence:

[tex]y = \sqrt{3}[/tex]

A similar problem is given at https://brainly.com/question/22426360

We will have 16 white counters in the bag.

Given that there are  blue, red, and white counters in a bag in the ratio 16:3:2, the total number of balls will be:

If there are 112 more blue counters than white counters, then;

number of blues = number of white + 112

16x = 2x + 112

14x = 112

x = 8

Number of white counters = 2x = 2(8) = 16

Therefore we will have 16 white counters in the bag.

Learn more on ratios here: https://brainly.com/question/2914376

Answer:

0 & 0

Step-by-step explanation:

In order to find the answer to these two questions you need to use the slope formula, substitute, subtract, and simplify if needed.

[tex](-2,-5),(-2,-5) = (x^1,y^1),(x^2,y^2)[/tex]

Slope formula = [tex]m=\frac{y^2-y^1}{x^2-x^1}[/tex]

Substitute: [tex]\frac{-5--5}{-2--2} =[/tex]

[tex]\frac{-5--5}{-2--2} =-5--5 = 0[/tex]

[tex]-2--2 = -2+2=0[/tex]

[tex]= 0[/tex]

[tex](-3,-6),(-3,-6)=(x^1,y^1),(x^2,y^2)[/tex]

[tex]m=\frac{-6--6}{3--3}[/tex]

[tex]-6+6=0[/tex]

[tex]-3+3=0[/tex]

[tex]=0[/tex]

Hope this helps.

Answer:

-12 < x < 18

Step-by-step explanation:

x-3 < 15

x < 18

and

-x + 3 < 15

-x < 12

x > -12

Answer:

x = 0 and y = 1                 Solution: (0, 1)      

Step-by-step explanation:

13x +  y = 1       multiply by -6  ⇔      -78x  - 6y = -6

2x + 6y = 6     do not change  ⇔    +  2x + 6y =   6    

                                                           -76x  = 0

                                                                  x = 0

Use the second equation to solve for y if x = 0

2x + 6y =  6

2(0) + 6y = 6

 0 + 6y = 6

     6y = 6

       y = 1       Solution (0,1)

Step-by-step explanation how to get answer:

Slope is Rise over Run

Find point (3, 5) and go up 5 and over 3 from that point & mark it, keep going in that pattern until you have a line.

For going opposite ways, do the opposite function; go down 5 and left 3 to have a complete straight line.

Answer: 1618 cm^2

The formula to find surface area of a cuboid is 2(ab + bc + ca)

2(19*3.5 + 3.5*33 + 33*19)

--> 1618

Answer:

12.55

Step-by-step explanation:

Answer:

unit rate 1:8

Step-by-step explanation:

Answer:

x = 600 pages

Step-by-step explanation:

Let the total books pages be x

Given that

Hank had read = 25% of x

25% of x = 150

=>  

Multiplying both sides by 4

=> x = 150 * 4

=> x = 600 pages

Step-by-step explanation:

There you go.

Answer:

C

Step-by-step explanation:

Answer:

Equilateral triangles have 3 congruent angles, measuring 60 degrees each. Isosceles triangles have 2 congruent angles, and scalene triangles have no congruent angles.

Step-by-step explanation:

Answer: The Y intercept is 128 as well, which is the original velocity. Technically it should be v - intercept but whatever. The y  / v intercept is the original velocity. The X intercept should be the t intercept but again whatever. The x/t intercept is 4, meaning that the velocity is zero when t is 4

Step-by-step explanation: y/v intercept is when t = 0. v = 128 - 32(0) = 128

It is the initial velocity at t = 0. The X/t intercept is when v = 0. 0 = 128 - 32t, so 32t = 128, so t = 4. The x intercept means when the velocity is zero, which means that the ball is at its highest/farthest point.

Step-by-step explanation:

-8 - 6x < 1

Bringing like terms on one side

-6x < 1 + 8

-6x < 9

x < 9/-6

x < 3/-2

I think the correct answer is none

51/x - 5i

this is the answerrrr

Here is the remainder for both. No the remainders are not equal.