A survey of ninth grade students at a high school was conducted to determine the enrollment demand for three foreign language class offerings.
The table provides information on the enrollment selections.
Fill in the missing values of the frequency table below, and complete the statement.
Spanish French German Total
Boys
10
8
Girls
15
12
30
Total
25
14
11
50
It can be concluded that
% of the boys surveyed have enrolled in Spanish

We define transformations as operators that act on functions by modifying them in some given way. One type of transformation is a translation, which will move the whole graph of the function in some give direction.

For a general function f(x), we will find that the equation for the result of shifting the graph up by 4 units and left by 2 units is:

g(x) = f(x + 2) + 4

----------------------------------

Let's see how to solve this.

We need to start by defining the two most common translations (also known as shifts).

Horizontal translation:

For a given function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

where if N is positive, the translation is to the left.

If N is negative, the translation is to the right.

Vertical translation:

For a given function f(x), a vertical translation of N units is written as:

g(x) = f(x) +  N

Where if N is positive, the translation is upwards.

If N is negative, the translation is downwards.

Here for an unknown function f(x), we want to write the equation that gives a shift up of 4 units and left by 2 units.

The shift up of 4 units is written as:

g(x) = f(x) + 4

The shift of 2 units to the left is written as:

g(x) = f(x + 2)

These two together give:

g(x) =  f(x + 2) + 4.

This is the equation we wanted to get.

If you want to learn more, you can read:

https://brainly.com/question/24401156

Answer:

1/8

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

4 divided by 1/2

Answer:

84 students go online several times a day

Step-by-step explanation:

Answer:

12.5

Step-by-step explanation:

112.3 / 9 = 12.47777......

Answer:

y=3/4x+9

Step-by-step explanation:

it is right   trust me.

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The graph for the given inequality will be A

Answer:

either

Step-by-step explanation:

not sure what your options are, but XYZ & ABC are the same in price per member, so either club is good

Answer:

24.1 units

Step-by-step explanation:

Answer:

Perimeter = 4(2x - 1)

Step-by-step explanation:

Since the Perimeter of a square is 4L, it would be,

(2x - 1) + (2x - 1) + (2x - 1) + (2x - 1) which could also be shortened to 4(2x - 1)

Answer:

P = 4(2x - 1)

Step-by-step explanation:

Given that the side of each square is 2x - 1:

The formula for finding the perimeter of a square is:

P = 4s

where s represents the side of a square.

Substitute the given value for s into the perimeter formula:

s = 2x - 1

P = 4(2x - 1)

Therefore, the perimeter of the square is 4(2x - 1).

Answer:

log ( x^2/(yz^2))

Step-by-step explanation:

2 log x - log y - 2 log z

We know a log b = log b^a

Rewriting

2 log x = log x^2  and 2 log z = log z^2

log x^2 - log y -  log z^2

Rewriting

log x^2 - (log y +  log z^2)

We know that log a + log b = log (a*b)

log x^2 - (log (y z^2))

And we know log a - log b = log (a/b)

log ( x^2/(yz^2))

Answer:

[tex]log\frac{x^2}{yz^2}[/tex]

Step-by-step explanation:

Simplify 2log(x) by moving 2

inside the logarithm.

Simplify 2log(x) by moving 2

inside the logarithm.

log(x^2)−log(y)−2log(z)

Simplify −2log(z)

by moving 2

inside the logarithm.

log(x^2)−log(y)−log(z^2)

Use the quotient property of logarithms, logb (x)−logb (y)=logb (x/y)

[tex]log\frac{x^2}{y} - log(z^2)[/tex]

Use the quotient property of logarithms, logb(x)−logb(y)=logb (x/y)

[tex]log (\frac{x}{y})/( \frac{1}{z^2}}][/tex]

Multiply the numerator by the reciprocal of the denominator.

[tex]log\frac{x^2\\ }{y}.\frac{1}{z^2}[/tex]

Combine.

[tex]log\frac{x^2*1\\ }{yz^2}[/tex]

Multiply [tex]x^{2}[/tex] by 1

[tex]log\frac{x^2}{yz^2}[/tex]

Answer:

Let:

x = code for country A

This is important: "the codes are three consecutive integers" That means,

x is code for country A

(x+1) is code for country B

(x+2) is code for country C

whose sum is 81" means

x + (x+1) + (x+2) = 90

3x+3=90

=3x=90-3

=3x=87

=x=87/3

=x=29

So, the codes are=29,30,31

To check 29+30+31=90

Answer:

21 students were given 4 lolipops

Step-by-step explanation:

Estimates are used to make prediction about an actual value

The chart is given as:

Fruit     Cost                  Estimated

Apple   $1.75/pound     8.75

Orange $2.35/pound   9.40

Banana $1.50/pound    4.50

The number of pounds of each fruit Annie bought are:

[tex]Apples= 5[/tex]

[tex]Orange = 4[/tex]

[tex]Banana = 3[/tex]

(a) The estimated amount

To do this, we make use of the estimated column.

So, we have:

[tex]Estimated = \sum Cost \times Pounds[/tex]

[tex]Estimated =1.75*5+8.75*4+1.50*3[/tex]

Approximate the prices

[tex]Estimated =2*5+9*4+2*3[/tex]

[tex]Estimated =52[/tex]

Hence, Annie estimated spending $52

(b) The actual amount spent

To do this, we make use of the cost column.

So, we have:

[tex]Actual = \sum Cost \times Pounds[/tex]

[tex]Actual =1.75*5+8.75*4+1.50*3[/tex]

[tex]Actual =48.25[/tex]

Hence, Annie actually spent $48.25

(c) The decision

By comparison, the estimated spending is greater than the actual amount spent.

Hence, your estimation is an overestimation

Read more about estimation at:

https://brainly.com/question/6768038

9514 1404 393

Answer:

  x = 33

Step-by-step explanation:

The product of the lengths of the segments of one chord is the same as the product of segment lengths for the other chord:

  11×9 = 3x

  x = 99/3 = 33

9514 1404 393

Answer:

  6.1 in

Step-by-step explanation:

Your calculator can tell you the cube root of 225 is about 6.08220.

The side of the cube is about 6.1 inches.

_____

  V = s³

  ∛V = s = ∛(225 in³) ≈ 6.1 in

Answer: X=7/3

Step-by-step explanation:

3

+

2

=

2

+

1

3

3

3x+2=2x+\frac{13}{3}

3x+2=2x+313​

Solve

1

Subtract

2

2

2

from both sides of the equation

3

+

2

=

2

+

1

3

3

3x+2=2x+\frac{13}{3}

3x+2=2x+313​

3

+

2

−

2

=

2

+

1

3

3

−

2

3x+2{\color{#c92786}{-2}}=2x+\frac{13}{3}{\color{#c92786}{-2}}

3x+2−2=2x+313​−2

2

Simplify

Subtract the numbers

Subtract the numbers

3

=

2

+

7

3

3x=2x+\frac{7}{3}

3x=2x+37​

3

Subtract

2

2x

2x

from both sides of the equation

3

=

2

+

7

3

3x=2x+\frac{7}{3}

3x=2x+37​

3

−

2

=

2

+

7

3

−

2

3x{\color{#c92786}{-2x}}=2x+\frac{7}{3}{\color{#c92786}{-2x}}

3x−2x=2x+37​−2x

4

Simplify

Combine like terms

Multiply by 1

Combine like terms

=

7

3

x=\frac{7}{3}

x=37​

Solution

=

7

IM WRONG NVM ..........

Answer:

2/3

Step-by-step explanation:

Its closer to one

Answer:

2/3

Step-by-step explanation:

2/3 = 14/21

4/7=12/21

Answer:

only D is negative on the leading term

Answer:

A. 17 feet

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

rewrite by changing subtraction sign to addition and the following number to opposite

- always involves two sign changes

have a good day

Answer:

1.5 or 1 1/2

Step-by-step explanation:

2*9 = 18

4*3 = 12

18/12 = 3/2

1.5 or 1 1/2

Answer:

64

Step-by-step explanation:

99-34=64

the two stays the same

Answer:

8

Step-by-step explanation:

a triangle for each side