Given f(x)=5x−3 , find f(−2).

Answer:

B

Step-by-step explanation:

Answer:

The answer would be Choice B.  

Step-by-step explanation:

You are multiplying every number in the brackets by -5.

-5 x 8 = -40

-5 x 1 = -5

-5 x -2 = 10

-5 x 6 = -30

Answer:

7. Option D

9. Option B

10. Option C

Step-by-step explanation:

Answer:

7. Option D

9. Option B

10. Option C

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Answer:

Yes

Step-by-step explanation:

a^2+b^2=c^2

14^2+48^2=50^2

196+2304=2500

2500=2500

Answer:

-2 and 3

Step-by-step explanation:

These two are slopes. All three are technically slopes but a slope of 0 is just a horizontal line.

Answer:

400-milligram aspirin

Step-by-step explanation:

200x2= 400

Answer:

x = 6

Step-by-step explanation:

Since the triangles are congruent, then corresponding sides are congruent, that is

QS = TV , substitute values

6x + 12 = 9x - 6 ( subtract 6x from both sides )

12 = 3x - 6 ( add 6 to both sides )

18 = 3x ( divide both sides by 3 )

6 = x

Answer:

x = 6

Step-by-step explanation:

x = ?

6x + 12 = 9x - 6

get the variables and numbers on different sides

6x + 12 - 6x = 12

9x - 6 + 6 = 9x

12 + 6 = 18

9x - 6x = 3x

3x = 18

divided each side by 3

3x / 3 = x

18 / 3 = 6

x = 6

Answer:

(a) The travel times of the Los Angeles workers have a higher variability than those of the New York City area and about 54 out the 70 Los Angeles workers take longer (over 20minutes) than the maximum travelling time for the New York City workers (18 minutes) when they travel to work

(B) (i) The percentage of workers that travel close to the maximum travel times given in the data of the two cities

(ii) Almost half of the New York City area workers spend between 40 and 100 minutes to work, while almost half (32) of the Los Angeles workers spend between 0 and 20 minutes to work every day

Step-by-step explanation:

The travel times for the 70 Los Angeles workers are;

Number of workers                    [tex]{}[/tex]         Travel time

32                    [tex]{}[/tex]                                      0 - 20 minutes

22                    [tex]{}[/tex]                                      20 - 40 minutes

10                   [tex]{}[/tex]                                        40 - 60 minutes

4                   [tex]{}[/tex]                                          60 - 80 minutes

2                   [tex]{}[/tex]                                          80 - 100 minutes

The travel times for the 61 New York City area workers are;

18                   [tex]{}[/tex]                                          0 - 20 minutes

14                   [tex]{}[/tex]                                          20 - 40 minutes

10                   [tex]{}[/tex]                                          40 - 60 minutes

12                   [tex]{}[/tex]                                          60 - 80 minutes

7                    [tex]{}[/tex]                                           80 - 100 minutes

Workers in Los Angeles averagely take short time to reach to workplace than in New  York.

Descriptive statistics like mode, IQR, skewness etc do care about how the data is more leaning on one side than other. That is why these types of measures are helpful here.

Given data includes:

For Los Angeles: 32, 22, 10, 4, 2 (skewed left)

For New York: (18, 14, 10, 12 ,7) (very slightly skewed left)

Part a.

Comparing the distributions of travel times for both of the regions:

Histogram of Los Angeles is more skewed to the left. (values like 32, 20 lies on the left, and 5, 2 on the right tail)

Histogram of New York, in comparison to the histogram of Los Angeles is not that skewed and lies approximately leveled but is slight skewed to left.

This hows that time taken by worker to travel in Los Angeles is averagely very  short and count of workers taking longer time falls dramatically.

On the other hand, that above thing doesn't happen for workers in New York.

Part b.

Central measure "Mode" can be used here. The reason of choosing mode is that it focuses on frequency and gives weights to outliers too. Mean, on the other hand takes average of all values thus might forget the data of skewness.

The 3rd moment of measure of skewness can be used to measure the degree of skewness in both the data.

Inter Quartile Range is also useful since it will tell quartile to quartile measures which can help not loose the data of skewness.

So, the important thing that should be included in the measure we use to  describe this data is to include the information of skewness of the graph.

Descriptive statistics like mean, standard deviation etc forget about skewness.

Descriptive statistics like mode, IQR, skewness etc do care about how the data is more leaning on one side than other. That is why these types of measures are helpful here.

Learn more here:

https://brainly.com/question/3907939

Answer:

About 10 hours

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

We can tell that they are congruent because of SAS (side-angle-side), which means that if there is a side, then angle, then another side that are equal, it is congruent.

Answer:

DU = 86

Step-by-step explanation:

Properties of a rectangle,

- Opposite sides are equal in measure.

- Diagonals of a rectangle are equal.

- Diagonals bisect each other.

In the given rectangle QUAD,

Diagonals AQ and DU bisect each other at P.

AQ = DU

2(QP) = DU [Since, AQ = 2(PQ)]

2(2x + 7) = 5x - 4

4x + 14 = 5x - 4

5x - 4x = 14 + 4

x = 18

Since, DU = 5x - 4

DU = 5(18) - 4

     = 90 - 4

     = 86

Therefore, measure of DU = 86 units

Answer:

y= -3/2

Step-by-step explanation:

formula: y-y1=m(x-x1)

y-1=-3/2(x-3)

y-1=-3/2x+9/2

y= -3/2x+11/2

this is now in y=mx+b form. m=slope /

Answer:

0

Step-by-step explanation:

Well, when f(x)=6, you substitute 6 for x in your equation. 6(6)-36. 36-36=0. This also means the 6 is the y-intercept.

Hope this helped!

Answer:

Substitute the given value into the function and evaluate.

0

Step-by-step explanation:

Hope this helps, If it did, then I would really appreciate it if you gave me Brainliest, I only need one more to rank up and it has taken forever to get to where I am currently. Thanks.

Answer:

The answer is 5

do 6x5 to get 30 cuz those two sides r equal

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

3 - -4=7

.... Hope this will help....

Answer:

-3(x)= -6

Step-by-step explanation:

i think this is it hope it helps!

Can also be written as -3x = -6

Answer:

There would be 15 girls and 21 boys

15 girls and 21 boys are in the class

Answer:

x = 10

Step-by-step explanation:

DEC is a right angle, right angles equal 90 degrees

so this means 7x + 20 needs to equal 90

7 x 10 + 20 = 90

Answer:

4. (d) option is correct because -7-(-5) = -7+5 ( Because - and - makes a plus .

Hope it does aid you .

Pls mark brilliant .

Answer:

I had the same question for math high school but the answer is 1.99

Step-by-step explanation:

Answer:

The answer to this question is given below in the explanation section.

Step-by-step explanation:

The table shows three different recipes. In this question, it is asked that will all the recipes taste same. To obtain the answer to this question, first, we measure the taste of each recipe in terms of calculating the ratio.  

Water ............................. Cups

     1   ............................. 3

    4   ............................. 12

    6   ............................. 18

1. The fraction of the first recipe is 1/3 so the ratio is 1:3(water to cup)

2. The fraction of the second recipe is 4/12

which can be simplified as 4/12=1/3 so the ratio is 1:3(water to cup)

3. The fraction of the third recipe is 6/18

which can be simplified as 6/18 = 3/9 = 1/3 so the ratio is 1:3(water to cup).

So based on the above answer, all recipes taste the same.

Answer 2:

No recipe taste different, all the recipe taste the same. Because all the recipe ratios are equivalent.

The equation given has a slope of -3. See it? The equation we are looking for must have the same slope because the lines are parallel to each other. This means the lines never meet or touch on the xy-plane.

We use the point-slope formula to find the equation.

Here is the point-slope formula:

y - y_1 = m(x - x_1)

y - 4 = -3(x - (-3))

y - 4 = -3(x + 3)

y - 4 = -3x - 9

We now isolate y to find our equation.

y = -3x - 9 + 5

y = -3x - 4

Done.

Following are the calculation to the given line which is parallel:

Given:

[tex]\bold{ line: \ y=-3x+4}\\\\\bold{ point: (-3,4)}[/tex]

To find:

Calculating the equation=?

Solution:

General equation of a line:  [tex]\bold{y = mx + c}[/tex]

Equation of a line: [tex]\bold{y-y_1=m(x-x_1)}[/tex]

By comparing the line equation with the general equation of a line:

[tex]\to \bold{m=-3}\\\\\to \bold{c=4}\\\\[/tex]

Using a line equation and put the point and slope value in it:

[tex]\bold{Point: (-3,4)}\\\\\bold{m=-3}[/tex]

[tex]\to \bold{y-4=-3(x-(-3))}\\\\\to \bold{y-4=-3(x+3)}\\\\\to \bold{y-4=-3x-9}\\\\\to \bold{y=-3x-9+4}\\\\\to \bold{y=-3x-5}\\\\[/tex]

Therefore, the final answer is "[tex]\bold{y=-3x-5}[/tex]"

Learn more:

brainly.com/question/1407546

Answer:

The measure of angle E is 55°

Step-by-step explanation:

In an isosceles triangle, the vertex angle is the angle including between the two equal sides, the base angles are the other angles of the triangle, the base angles are equal in measures

In triangle DEF

∵ DE is congruent to FD

∴ The length of DE = the length of FD

∵ ∠D is the angle including sides DE and FD

∴ ∠D is the vertex angle

∴ ∠F and ∠E are the base angles

∵ The base angles of the isosceles triangle are equal in measures

∴ m∠F = m∠E

∵ m∠F = 55°

∴ m∠E = 55°

∴ The measure of angle E is 55°

Answer:

hiiiiiiiiiiiiiiii

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

The scale factor is the number that the original image is multiplied by to find the new image. So, we have to find what number multiplied by 6 equals 4 and what number multiplied by 9 equals 6. This can represented as an equation, with the unknown number represented by x:

6 * x = 4

6x = 4

Divide both sides by 6 to isolate x:

6x/6 =4/6

x = 4/6 = 2/3

x = 2/3

9x = 6

9x/9 = 6/9

x = 6/9 = 2/3

x = 2/3

For both dilations x came out to be 2/3. So, the scale factor is 2/3.

Hope this helps :)

Answer:

x = 500

Step-by-step explanation:

100% = 500

20% = 100

120% = 500 + 100 = 600

Answer:

Solving -5\sqrt{5} we get [tex]\mathbf{-9\sqrt{5}}[/tex]

Step-by-step explanation:

We need to solve [tex]-2\sqrt{20}-\sqrt{125}[/tex]

Factors of 20 are: 2x2x5

Factors of 125 are: 5x5x5

Replacing 20 and 125 with their factors.

[tex]-2\sqrt{20}-\sqrt{125}\\=-2\sqrt{2\times2\times5}-\sqrt{5\times5\times5}\\=-2\sqrt{2^2\times5}-\sqrt{5^2\times5}\\We \ know \ \sqrt{a^2}=a \\=-2\sqrt{2^2}\sqrt{5}-\sqrt{5^2}\sqrt{5}\\=-2\times2\sqrt{5}-5\sqrt{5}\\=-4\sqrt{5}-5\sqrt{5}\\Taking \ \sqrt{5} \ common\\=(-4-5)\sqrt{5}\\=-9\sqrt{5}[/tex]

So, solving -5\sqrt{5} we get [tex]\mathbf{-9\sqrt{5}}[/tex]

Answer:

Below.

Step-by-step explanation:

(a).  From the graph the x estimates of the turning points are

-1.8 and 1.1.

(b).  The solutions are where the graph crosses the x axis .. They are:

x = -3, 0 and 2.

Answer:

17inches

Step-by-step explanation:

If James completely covered a square poster board using 68.2 in. of cardstock, this means that the perimeter of the square box is 68.2in.

To get the measurement if one side if the box we will use the formula for finding the perimeter of the square.

P = 4L

L is side length of the square box

68.2 = 4L

L = 68.2/4

L = 17.05in

.hence the measurement closest to one side of the square box is 17inches