Find the y-intercept of the rational function.

a) a as a column vector is [tex]\left(\begin{array}{c}1\\-2\end{array}\right)[/tex]

b) 2a -b as a column vector is [tex]\left(\begin{array}{c}1\\-7\end{array}\right)[/tex]

To write a vector as a column vector, the number at the top is the magnitude of the x component (horizontal component) of the vector and the number at the bottom is the magnitude of the y component (vertical component) of the vector

Magnitude of the vertical component = 1

Magnitude of the vertical component = -2

NOTE: Negative sign indicates that the direction of the vector is downwards

Thus, vector a as a column vector is

[tex]a = \left(\begin{array}{c}1\\-2\end{array}\right)[/tex]

Hence, a as a column vector is [tex]\left(\begin{array}{c}1\\-2\end{array}\right)[/tex]

Magnitude of the vertical component = 1

Magnitude of the vertical component = 3

[tex]b = \left(\begin{array}{c}1\\3\end{array}\right)[/tex]

Now, we are to work out 2a - b

That is,

[tex]2a -b = 2 \left(\begin{array}{c}1\\-2\end{array}\right)-\left(\begin{array}{c}1\\3\end{array}\right)[/tex]

[tex]2a -b = \left(\begin{array}{c}2\\-4\end{array}\right)-\left(\begin{array}{c}1\\3\end{array}\right)[/tex]

[tex]2a -b = \left(\begin{array}{c}2-1\\-4-3\end{array}\right)[/tex]

[tex]2a -b = \left(\begin{array}{c}1\\-7\end{array}\right)[/tex]

Hence, 2a -b as a column vector is [tex]\left(\begin{array}{c}1\\-7\end{array}\right)[/tex]

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Answer:

50 in.

Step-by-step explanation:

Real building:

height 300 ft

width 200 ft

Model building:

height 6 in.

width 50 in.

300/6=50

Hope this helps! :) :)

The scale model of building is 4 inches wide.

The height of a building is 300 feet
its width is 200 feet
A scale model of the building is 6 inches high

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

let scale model of the building is "x" inches wide.
= 300/6 = 200/x
x = 4

Thus, The scale model of building is 4 inches wide.

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Answer: [-1,infinity)

Step-by-step explanation:

Answer:

Step-by-step explanation:

To answer this question we should analyze both functions :

here we must solve both equations :

the first one is obvious x=0 the scond is more interesting :

x²+2=0⇔x²=-2 wich is impossible since x²≥0 unless we use complex numbers .

So we notice thatf has one intercept.

we added 2 to f to get g but no real intercepts

Answer:

C. -n - 2

Step-by-step explanation:

Since there are no parenthesis for 3n + 2, you only distribute the 2 to (-2n - 1):

3n - 4n - 2

-n - 2

Answer:

C. -n - 2

Step-by-step explanation:

3n + 2(-2n - 1)

Expand the brackets.

3n + - 4n - 2

Add like terms.

- 1n - 2

-n - 2

Answer:

(1,18)

Step-by-step explanation:

use a graphing calculator to graph the function

then, graph all the coordinates given and find on that's on the graph

Answer:

I think it might be 11

Step-by-step explanation:

correct me if im wrong

Answer:

( a ) 463 " human resource professionals " believe that the appearance of a job applicant is most important for a good first impression

( b )  Percent wise the confidence interval should be from about 86.6% to 93.4%

Step-by-step explanation:

I believe these first two parts here is sufficient enough to get you started!

" In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a good first impression. Part A: Among the 514 human resource professionals who were surveyed, how many of them said that the appearance of a job applicant is most important for a good first impression?

Part B: Construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression. "

_____

( a ) We are given that n = 514, and p = 90%. The number of human resource professionals that said that the appearance of a job applicant is most important for a good first impression, should be the following -

514 x [tex]\frac{90}{100}[/tex]

= [tex]\frac{46260}{100}[/tex]

= 462.6

As the count of people can't be expressed as a fraction, the solution should be about 463 " human resource professionals. "

_____

( b ) Here the confidence level is 0.99 percent. Knowing that -

1 - ∝ = 0.99,

∝ = 1 - 0.99... = 0.01

Therefore, a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression should be calculated as directed in the attachment. By that the interval ranges as such -

0.8659 < p < 0.9341

And percent wise the confidence interval should be from about 86.6% to 93.4%

Answer:

-2b, b/12, -0.9b

Step-by-step explanation:

They all contain the same variable, B

Answer:

B, D, and E

Step-by-step explanation:

The only terms that can be combined are like terms. The 3 like terms in this expression are the b terms: -2b, b/12, and -0.9b. These 3 can be combined since they are like terms.

Hope this helps! Plz give me brainliest, it will help me achieve my next rank.

Answer:

a. Let's call the first number x which would make the other 2 numbers x + 2 and x + 4. Since they have a sum of 54 we can write:

x + x + 2 + x + 4 = 54

3x + 6 = 54

3x = 48

x = 16 so the numbers are 16, 18, 20.

d. We can write:

30 + x = 4(3 + x)

30 + x = 12 + 4x

18 = 3x

x = 6 years

Answer:

x = 1 1/4

Step-by-step explanation:

sqrt( 7x+2) = sqrt(3x+7)

Square each side

(sqrt( 7x+2))^2 = (sqrt(3x+7))^2

7x+2 = 3x+7

Subtract 3x from each side

7x-3x +2 = 3x+7-3x

4x+2 = 7

Subtract 2 from each side

4x+2-2 = 7-2

4x = 5

Divide by 4

4x/4 = 5/4

x = 1 1/4

Check for extraneous solution

sqrt( 7*5/4+2) = sqrt(3*5/4+7)

sqrt( 35/4 + 8/4) = sqrt(15/4+28/4)

sqrt( 43/4) = sqrt(43/4)

Solution is valid

YES

Step-by-step explanation:

The statement “The supplement of an acute angle is an obtuse angle.” is always true because the sum of any two supplementary angles is 180°, so if one of them less than 90° (acute), then the other must be greater than 90° (obtuse)

Answer:

The statement is always true because the sum of the two angles must be 180 degrees to be supplementary. If the first angle is an acute angle, then it has a measure of less than 90 degrees. To sum 180 degrees, the second angle would need to be more than 90 degrees, making it an obtuse angle.

Step-by-step explanation:

Answer:

so the height of apple tree in meters is 3 meters

Step-by-step explanation:

by using ratio and proportion rule

1:2=148:x

[tex]\frac{1}{2}=\frac{148}{x}[/tex]

by cross multiplication

1×x=2×148

1x=296cm

converting into meter as we know that 1centi=10^-2

1x=296×10^-2

x=2.96m≈3meters

i hope this will help you :)

Answer:

Step-by-step explanation:

hello

a) Pop as this is the one with the most CDs

b) 30 as this is a full one 20 + half 10 = 30

c) POP  5*20= 100

Jazz 2*20=40

Classical 1.5*20=30

Rock 3*20=60

so the total is 100+40+30+60 = 230

hope this helps

Answer:

a) The Pop CD is the mode (as it has higest sold )

b) no. of rock CDs sold = 20 × 3 = 60

  no. of classical CDs sold = 20+ 10 = 30

∴The no of Rock CDS more than Classical CDs = 60 - 30 = 30

c)  Pop CDs = 20 × 5 = 100

   JazzCDs = 20 ×2 = 40

   Classical CDs = 20 + 10 = 30

   Rock CDs = 20 × 3 = 60

∴ Total no.of CDs sold =  100 + 40 + 30 + 60 = 230

Answer:

A-23,702,805

B- 562,003.722

The standard forms of the given numbers are: Twenty three million seven hundred two thousand eight hundred five can be written as 23,728,805. Five hundred sixty two thousand three and seven hundred twenty two thousandths can be written as 562,003.722. (2 x 1 000 000) + (9 x 10 000) + (1 x 1000) + (4 x 100) + (7 x 0.1) can be written as 2,094,727.

Here is the explanation for each of the answers:

A) Twenty three million seven hundred two thousand eight hundred five can be written as 23,728,805 by grouping the digits into millions, thousands, hundreds, tens, and units.

B) Five hundred sixty two thousand three and seven hundred twenty two thousandths can be written as 562,003.722 by placing the decimal point after the three and then adding two zeros to the right of the decimal point. The thousandths digit is 722, so we need to add two zeros to the right of the decimal point to make sure that the number is accurate to the thousandths place.

C) (2 x 1 000 000) + (9 x 10 000) + (1 x 1000) + (4 x 100) + (7 x 0.1) can be written as 2,094,727 by collecting like terms together. The first term, 2 x 1 000 000, is equal to 2,000,000. The second term, 9 x 10 000, is equal to 90,000. The third term, 1 x 1000, is equal to 1000. The fourth term, 4 x 100, is equal to 400. The fifth term, 7 x 0.1, is equal to 7. Adding all of these terms together, we get 2,094,727.

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Answer:

The average speed on this trip was 46.15 mph. The correct option is A.

Step-by-step explanation:

In order to calculate the average speed, we need to apply the following formula:

[tex]v_{avg} = \frac{\text{distance}}{\text{time}}[/tex]

We were given the distance between the two cities in miles, therefore we can directly apply it to the expression. Although the time was given in the hh:mm 12 h format and we need a diference in hours, so we will convert that as shown below:

[tex]\text{time departure} = 9 + \frac{50}{60} = 9.83 \text{ h}[/tex]

[tex]\text{time arrival} = 12 + 5 + \frac{30}{60} = 17.5[/tex]

The elapsed time of the trip is the difference between these:

[tex]\text{time} = 17.5 - 9.83 = 7.67 \text{ h}[/tex]

We can now apply it to the formula:

[tex]v_{avg} = \frac{354}{7.67} = 46.15 \text{ mph}[/tex]

The average speed on this trip was 46.15 mph. The correct option is A.

Answer:

(0, -10)

Step-by-step explanation:

Just set x = 0 and find the function value:  3(0)^2 - (0) - 10 = -10.

Thus, the y-intercept is (0, -10)

Answer:

9/49

Step-by-step explanation:

BABY BOY = 7 letters

P(b) = B / total = 3 /7

Then replace

P(b) = B / total = 3 /7

P(B , replace, b) = 3/7 * 3/7 = 9/49

Answer:

D. 2

9 =1 + 8x - 8

17 = 1 + 8x

16 = 8x

2 = x

Answer:

d

Step-by-step explanation:

d

Answer:

70.257924 m^2

Step-by-step explanation:

Answer:

1. A = 2184 yd. P = 212 yd.

Step-by-step explanation:

1. To find the perimeter of an object you need to do this formula: 2L * 2W which is 2 times the length times 2 times the width.

To find the Area you have to do this formula: H * W which means height times width.

2. They would need the area to fill the rectangle since you need to fill it and the area is the inside of the rectangle

3. She will need the perimeter since she is walking around the field and the perimeter is the outside (around) the shape.

The answer is Option B :)

The function that represents the graph is  [tex]f(x)=\frac{1}{x-2}[/tex].

Option B

Given :

The graph of the function

Step-by-step explanation:

From the given graph , the vertical asymptote is at x=2

Lets find out the vertical asymptote of each function

To find out vertical asymptote we set the denominator =0

[tex]f(x)=\frac{1}{2x} \\2x=0\\x=0 \\\\\\f(x)=\frac{1}{x-2} \\x-2=0\\x=2[/tex]

The second function has vertical asymptote at x=2

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Answer:

12 3/5

Step-by-step explanation:

Distributive property is when you take a number for example 3 and multiple all of the numbers inside the () in this case 4 1/5

1. multiple 3 by 4 =12

2 multiple3 by 1/5= 3/5

3 write your awnser 4 3/5

Hoped this helped

Answer:

1/2

Step-by-step explanation:

If the locker has 3 non zero digits, this means the digits will take values from 1 to 9. If the first digits is 3, the remaining digits can take any of the values in the set {1, 2, 4, 5, 6 7, 8, 9}

Total elements in the set = 8

Total odd numbers there = {1, 5, 7, 9} = 4 odd numbers

If the next digit is odd, probability that the next digit is odd will be Total odd numbers/Total elements in the set = 4/8 = 1/2

Answer:

2.5 gallons

Step-by-step explanation:

Quarts of juice Mary bought = 10 quarts

1 quart = 0.25 gallons

10 quarts = 0.25×10 = 2.5 gallons

Therefore she bought 2.5 gallons

Hope this helps : ) . Have a nice day !

Answer:

0.6 - 1/4

Convert the decimal to fraction

Thus

0.6 = 3/4

3/5 - 1/4

Find the LCM

the LCM is 20

We get

3/5 - 1/4 = (3(4) - 5)/ 20

= 12-5/20

= 7/20

2/5 + 0.75

0.75 = 3/4

Find the LCM

The LCM is 20

Thus

3/4 +2/5 = ( 3(5) + 2(4))/20

= 15 + 8 /20

= 23 / 20 or 1 3/20

1.75 - 1/6

Convert the decimal to fraction

1.75 = 7/4

Thus we get

7/4 - 1/6

Find the LCM

The LCM is 12

Thus

7/4 - 1/6 = ( 7(3) - 2)/12

= 21 - 2 / 12

= 19/ 12 or 1 7/12

3/10 + 2.125

Convert the decimal to fraction

2.125 = 17/8

Thus

3/10 + 17/8

Find the LCM

the LCM is 40

Thus

3/10 + 17/8 = ( 3(4) + 17(5))/40

= 12 + 85/40

= 97 /40 or 2 17/40

Hope this helps

Answer:

1.15

19/12

2.425

Step-by-step explanation:

2/5+0.75

2/5=4/10

4/10=0.4

0.75+0.4

1.15

1.75-1/6

1.75=7/4

7/4=14/8=21/12

21/12-2/12

19/12, or 1.5833...

3/10=0.3

0.3+2.125=2.425

Answer:

No.  She only estimated instead of hovering over the intersection to find the exact point.

Step-by-step explanation:

I used a graphing tool to graph the two lines. They pass at (6.25, -6.25). Since Keisha said the solution was (6, -6), which is not correct, she has most likely rounded the two values instead of finding the exact one.

Answer:

No. She used the wrong slopes when graphing the equations.

hope this helps i did it in Edge and got it right

mark me brainliest pls

Answer:

[tex]\frac{5}{2} ; -4[/tex]

Step-by-step explanation:

2x² + 3x - 20 = 0

a = 2 ; b = 3 ; c = -20

[ -b ± √(b² - 4ac) ] /2a = [-3±√(3²-4*2*-20]/2*2

                                 = [-3±√(9+160)]/4

                                = [-3±√169 ]/4

                                = [-3± 13]/4

                                = [tex]\frac{-3+13}{4} ;\frac{-3-13}{4}\\\\=\frac{10}{4} ; \frac{-16}{4}\\\\=\frac{5}{2} , -4[/tex]

2x² + 3x - 20 = 0

2x² + 8x - 5x - 20 = 0

2x(x+4) - 5(x+4) = 0

(x+4)(2x-5) = 0

x+4 = 0

x = -4

2x - 5 = 0

2x = 5

x = 5/2