Find the slope of the line represented by the table

Given:

[tex]g(x)=f(x+11)[/tex]

To find:

The correct statement for the given transformation.

Solution:

The translation is defined as

[tex]g(x)=f(x+a)+b[/tex]                .... (1)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

We have,

[tex]g(x)=f(x+11)[/tex]            ... (2)

On comparing (1) and (2), we get

[tex]a=11>0[/tex]

So, the graph of f(x) translated 11 units to the left.

Therefore, the correct option is A.

Answer:

A. Parrellel

Step-by-step explanation:

it is parrellel because if you look between b and c you can

see that it is a parrellel line

Answer:

169,711.23₱

Step-by-step explanation:

compound intrest formula

p(1+r/100)^n

150,000(1+2.5/100)^5

=169,711.23₱

500 kg x 90% = 500x 0.9 = 450 kg of Steel is needed.

450 kg x 98% = 450 x 0.98 = 441 kg of iron needed.

450 x 0.02 = 9 kg of carbon is needed for the steel.

50 kg of chromium is needed.

Chromium is 10% carbon, 50x 0.1 = 5 kg of carbon is needed for the chromium.

Total iron = 441 kg

Total carbon = 9 + 5 = 14 kg

Total chromium = 50 kg

Answer:

1) x+5y=8 (that’s a basically simplified already)

2) -44 1/3

Step-by-step explanation:

1) Since its in it’s most simplified form, leave it like that.

2) Solve it, combine like terms, and then just divide 3 on both sides to isolate variable

Answer:

36 girls

Step-by-step explanation:

2x=24

x=12

3(12) = y

y= 36

Answer:

slope=∆y/∆x=9+5/-4-3=14/-7=-2

Answer:

-2

Step-by-step explanation:

slope equation: (y2-y1)/(x2-x1)

lets use (-4, 9) as x1 and y1 and (3, -5) as x2 and y2

when plugged into the equation we get (9+5)/(-4-3) which ultimately equals -2.

Answer:

(0,0) and (60,0)

Step-by-step explanation:

because they are the points on the x-axis

Answer:

[tex]s = 54m +160[/tex]

Step-by-step explanation:

Given: The attachment

Required: Determine the equation

We start by picking any two equivalent points on the table:

[tex](m_1,s_1) = (2,268)[/tex]

[tex](m_2,s_2) = (4,376)[/tex]

Next, we determine the slope, M:

[tex]M = \frac{s_2 - s_1}{m_2 - m_1}[/tex]

[tex]M = \frac{376 - 268}{4-2}[/tex]

[tex]M = \frac{108}{2}[/tex]

[tex]M = 54[/tex]

The equation is then calculated as:

[tex]s - s_1 = M(m - m_1)[/tex]

Where:

[tex]M = 54[/tex]

[tex](m_1,s_1) = (2,268)[/tex]

So, we have:

[tex]s - 268 = 54(m - 2)[/tex]

Open bracket

[tex]s - 268 = 54m - 108[/tex]

Collect like terms

[tex]s = 54m - 108 + 268[/tex]

[tex]s = 54m +160[/tex]

Hence, the equation is: [tex]s = 54m +160[/tex]

Answer:

only student ll (2)

Step-by-step explanation:

Answer:

2 sqrt(13)

Step-by-step explanation:

We can use the Pythagorean theorem

The x value between A and B is  4 units and the y value is  6 units

The distance is

d = sqrt( x^2 + y^2)

   = sqrt( 4^2 + 6^2)

   = sqrt( 16+36)

  = sqrt(52)

  = sqrt(4*13)

 = 2 sqrt(13)

Answer:

120 = 15x + 15

Step-by-step explanation:

what you have to do is find the amount of weeks needed to walk the dog until you get around 120. so if two weeks is equal too 30 dollars you can multiply it by that amount. 30 = 2.So 30 times what = 120 or 15 times what = 120. also dont forget that tom has saved thirty dollars in advance

Answer:

W

Step-by-step explanation:

The table that will represent a function is the table where every x-value (domain) has exactly one y-value (range).

Table W represents a function because each x-value has exactly only one y-value.

The other tables have two y-values assigned to a one x-value.

Answer:

W

Step-by-step explanation:

Answer:

Are directly proportional

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Reflection over the line x = -1 alters the x-coordinates, but leaves the y-coordinates alone. The image point is as far horizontally from the reflection line as the pre-image point is.

Each new x-coordinate is the old one subtracted from twice the x-value of the line of reflection:

  (x, y) ⇒ (-2-x, y)

  U(-8, -6) ⇒ U'(6, -6)

  V(-3, -6) ⇒ V'(1, -6)

  W(-4, -1) ⇒ W'(2, -1)

Answer:

They are adjacent

Step-by-step explanation:

Answer:

y = 11

Step-by-step explanation:

Perimeter = 6 + 5y + y + 2 + 4y + 3

                = 10y + 11

10y + 11 = 121

10y = 121 - 11

     = 110

y = 110 ÷ 10

y = 11

Answers, in order:

1. Acute

2. Congruent

3. Supplementary angles

4. Vertical angles

5. Adjacent angles

6. Adjacent supplementary angles

7. Alternate interior angles

8. Alternate exterior angles

9. Consecutive interior angles

10. Corresponding angles

11. Straight angle

Answer:

output is -17

Step-by-step explanation:

x is input, y is output. You do y = -24 + 7

then y = -17

Answer:

x = 29.9 ft

Step-by-step explanation:

Given:

Rectangle 1 ≈ Rectangle 2

In Rectangle 1

A = 13.4 ft

B = 4.6 ft

In Rectangle 1

A = 87.1 ft

B = x ft

Find:

Value of x

Computation:

Rectangle 1 ≈ Rectangle 2

So,

13.4 / 4.6 = 87.1 / x

x = [(87.1)(4.6)] / 13.4

x = 29.9 ft

Answer:

b

Step-by-step explanation:

Answer:

Calculate Batting Average

Calculating a baseball player's batting average is not a difficult task at all. A batting average represents the percentage of at bats that result in hits for a particular baseball player. The formula is:

Hits / At Bats = Batting Avg.

That's all there is to it. For example, if Justin Upton gets 155 hits in a season and has 554 at bats, his batting average would be 155/554, or .280. The batting average is usually represented not as a percentage (i.e. 28.0%), but instead as a decimal number with three places after the decimal. A batting average of 1.000 means that the player gets a hit every time he comes to bat, and an average of .000 means the player has no hits.

It should also be noted that not every time a batter comes to the plate counts as an at bat. Plate appearances that do not count as at bats include walks, hit-by-pitches, sacrifices, etc.

Here's one last example: Albert Pujols gets 35 hits in 113 at bats in May, so his batting average would be calculated as 35 divided by 113, which is .310 for the month of May.

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

The previous answer response to this question was too long and complicated. Just follow the things you know from the question and use the formula.

a=h/n, a is the batting average, h is the number of hits, and n is the number of times at bat. Use substitution to make your formula now look like this:

0.294 = h/544.

Now you have to get h by itself. To do that, you do the opposite of division: multiply. What you do to one side, you do to the other.

544(0.294 = h/544)544 ⇒ h = 544 x 0.294.

Your result should be 159.936; round to the nearest whole number ⇒ 160.

Answer: 12u-4-4u=76

Step-by-step explanation: Use distributive property and PEMDAS, that might help.

Answer:

x = 4

Step-by-step explanation:

Three less than half of a number is -1

The Half Of A Number means the number can be anything, so we can use "x." However, it is half so it would become: 1/2x.

Three less than means it is minus three, therefore becomes: 1/2x-3

However, three less than half of a number is (or in other words is equal too) -1,  so the overall equation is

1/2x - 3 = -1

first, add three on both sides to get:

      1/2x = 2

multiply two on both sides to get:

     x = 4

Answer: 5.3%

Step-by-step explanation:

The formula to compute rate of return is given by :-

Rate of return = [tex]\dfrac{\text{Selling price - investing price }}{\text{ investing price}}\times100[/tex]

[tex]=\dfrac{1000-950}{950}\times100\%\\\\=\dfrac{50}{950}\times100\%\\\\=\dfrac{100}{19}\%\\= 5.3\%[/tex]

Hence,  his rate of return = 5.3%