Hanna and Dien are both getting a raise. Who will earn more
per hour after the raise?

Let

[tex]x = 6 + \dfrac1{2 + \dfrac1{6 + \dfrac1{2 + \cdots}}}[/tex]

Then

[tex]x = 6 + \dfrac1{2 + \dfrac1x}[/tex]

and solving for x gives

[tex]x = 6 + \dfrac x{2x + 1}[/tex]

[tex]x = \dfrac{13x + 6}{2x + 1}[/tex]

[tex]x(2x+1) = 13x + 6[/tex]

[tex]2x^2 + x = 13x + 6[/tex]

[tex]2x^2 - 12x - 6 = 0[/tex]

[tex]x^2 - 6x - 3 = 0[/tex]

By the quadratic formula,

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

but x must be a positive number, so only the positive square root solution is valid.

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

We identify a = c = 3 and b = 2, so a + b + c = 8.

Answer:

20.5

Step-by-step explanation:

Given that shapes are similar:

45 = 2x + 4 subtract 4 from both sides

41 = 2x divide both sides by 2

20.5 = x

Answer:

-1

Step-by-step explanation:

Set y=0.

[tex]5 {x}^{2} + 7x + 2 = 0 \\ x = \frac{ - 7± \sqrt{ {7}^{2} - 4(5)(2)} }{2(5)} \\ x = \frac{ - 7± \sqrt{ 9} }{10} \\ x = \frac{ - 7±3}{10} \\ x = - \frac{2}{5} \: \: \: \: or \: \: \: \: - 1[/tex]

The x-intercepts are - 0.4 and - 1.

The other x-intercept is - 1.

Answer: 1,0

Step-by-step explanation:

Answer:

The answer is c

Answer:

you would pay $1000 because insurance would cover the 1500 for medical, and it would pay 5000 of the 6000 for damage to the car

Step-by-step explanation:

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

it is a polygon and it would be a decagon since there are 10 sides

Answer:

It is a polygon, hexagon.

Step-by-step explanation:

Types of polygons include: Triangle, quadrilateral, Pentagon, hexagon, heptagon, octagon, nonagon, and decagon. a hexagon has 6 sides this has 8 so it isn't a hexagon but it can be a decagon so it's the second answer.

Answer:

Step-by-step explanation:

Seems like your question might be missing some parts.

If Not, Then

a line through the given points would have the form

y = mx + b

where m is the slope and b the y intercept

m = Δy/Δx = (-2 - 2) / (2 - (-2)) = -1

y = (-1)x + b

y = -x + b

now plugging in either point to find b

2 = -(-2) + b

b = 0

y = -x + 0

y = -x

Answer:

Step-by-step explanation:

(-2 - 2)/(2 + 2) = -4/4= -1

y - 2 = -(x + 2)

y - 2 = -x - 2

y = -x

Step-by-step explanation:

it is an isoceles triangle (equally long legs).

there is a right angle at W, so YW is the height of the isoceles triangle XYZ.

that means W splits XZ in half.

therefore,

ZW = XZ/2 = 38/2 = 19

Answer:

x = 120°

Step-by-step explanation:

the 165 degree obtuse angle forms a straight line with the upper left angle inside the triangle, therefore this angle measures 15 degrees

we know two of the three angle measures so we add all three together to find the unknown angle

x + 15 + 45 = 180

x + 60 = 180

x = 120°

Answer: All real numbers

Step-by-step explanation:

It depends on if the horizontal line goes on infinitely but I'd assume it does. It should be all real numbers.

Explanation:

The given equation is the same as y = 0x - 7. It matches the form y = mx+b which is slope intercept form of a linear equation.

The slope m = 0 always applies to horizontal lines. All points on this line have a y coordinate of -7.

Using the multiplication operation, the population of the species in 30 years would be 8 times the current population. Hence, the population at the time would be [tex] 5.44 \times 10^{10}[/tex]

Therefore, 8 times the current population can be calculated thus :

[tex] 6.8 \times 10^{9} \times (8) = 54.4 \times 10^{9}[/tex]

Therefore, the population at the time would be [tex] 5.44 \times 10^{10}[/tex]

Learn more : https://brainly.com/question/25411212

Answer:

f(-4) = -6

g(2) = -14

Step-by-step explanation:

To evaluate a function we must plug in the values of x. So for:

f(x) = 2x+2

we have:

f(-4) = 2(-4)+2

then we simplify:

f(-4) = -8+2

so f(-4) = -6

Now the same steps are taken for g(x) in which the answer would be -14.

Answer:

150 eye level hight above sea level

Step-by-step explanation:

270-120=150

Answer:

  (d)  x < 2

Step-by-step explanation:

Subtract 5 from both sides of the inequality, the same way you would if it were an equation.

  x +5 < 7 . . . . . . given

  x +5 -5 < 7 -5 . . . . . show subtraction of 5

  x < 2 . . . . . the solution

Answer:

120

Step-by-step explanation:

If you graph out the two triangles, you can see that the rotation is close to an angle of 90 - 120 degrees. And the rotation is going counterclockwise into the positives (graph quadrant IV).

9514 1404 393

Answer:

  a) 37

  b) n+d

Step-by-step explanation:

This is a reading comprehension problem. You are asked to understand what you are reading, and to think about what question is being asked.

Given:

  a) someone bought 20 notebook computers and 17 desktop computers

  b) someone bought n notebook computers and d desktop computers

Find:

  a) the total number of computers bought

  b) the total number of computers bought

Solution:

a) The total number bought is found by adding together the numbers of each kind:

  20 +17 = 37 . . . total computers

__

b) The total number bought is found by adding together the numbers of each kind:

  n + d . . . total computers

Answer:

Working out 20% of 30

If you are using a calculator, simply enter 20÷100×30 which will give you 6 as the answer.

Step-by-step explanation:

Answer:

Step-by-step explanation:

what is 20% of 30? how would you calculate it?

30 : 100 * 20 = 6

or

30 * 0.20 = 6

Answer:

[tex]7^{4} * 3[/tex]

Step-by-step explanation:

Answer:its 22 and 7...........................

Step-by-step explanation:

Answer: Mathematics

Step-by-step explanation:

Answer: Hello I want to know what is the product of what you need to give me a number.

Step-by-step explanation:

Answer:

x=2, y=6

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

[tex] \frac{6}{12} + \frac{1}{2} \\ = \frac{1}{2} + \frac{1}{2} \\ = \frac{2}{2} \\ = \frac{1}{1} \\ = 1[/tex]

Answer:

what is the question where is the rest of the equation

Step-by-step explanation:

if you respond I will give you the right answer but hope you have a great rest of your night :)❤