How to write g(x)=2x+3/x+1 in the form of:g(x)=a/x+p +q

Answers

Answer 1

Answer: Hello,

Please write correctly.

g(x)= (2x+3)/(x+1) to be written like a/(x+p) + q

It is very simple!

(2x+3)/(x+1)= [(2x+2)+1]/(x+1)= (2(x+1)+1)/(x+1)= 2+1/(x+1)

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(Picture Attached)20 Pts:

Which of the following completes the proof? (6 points)

By the midpoint formula

By definition of congruence

Given

By construction

Answers

by the mid point formula is my best guess

Let L1 be the line passing through the points Q1=(−1, 5, 2) and Q2=(−2, 7, 3) and let L2 be the line passing through the point P1=(−8, 4, 9) with direction vector →d=[−6, 3, 6]T. Determine whether L1 and L2 intersect. If so, find the point of intersection Q.

Answers

Answer:

yes they intersect

point of intersection is (-17.6,38.2,18.6)

Step-by-step explanation:

the direction vector for L2 is given but for L1 it is not given.

Let's first find the direction vector for the L1 as;

from points Q1 and Q2 we can find the direction vector by subtracting there corresponding coordinates (x,y,z) as;

-1-(-2), 5-7, 2-3

direction vector for L1= [1,-2,-1]k

Now the equation for L1 is;

x1=-2+k

y1=7-2k

z1=3-k

direction vector for L2 is =[−6, 3, 6]T

So the equation for the L2 is;

x2=-8-6T

y2=4+3T

z2=9+6T

If these points are intersecting then there x coordinates must be equal, y coordinates must be equal and z coordinates must also be equal as;

x1=x2; y1=y2; z1=z2;

-2+k=-8-6T.......(a)

7-2k=4+3T.......(b)

3-k=9+6T.........(c)

subtracting (a) and (c) we get

-2+k=-8-6T

-( 3-k=9+6T)

______________

-5+2k=-17-12T.......(d)

adding (b) and (d) we get

7-2k=4+3T

-5+2k=-17-12T

______________

-2=13-9T

T=1.6 putting in (a) we get k as;

-2+k=-8-6(1.6)

k=-15.6

putting T and k, if it satisfy the equation then they intersect

(c)=3-(-15.6)=9+6(1.6)

18.6=18.6 satisfied.

thus they intersect each other and their point of intersection is

x=-2-15.6

x=-17.6

y=7-2(-15.6)

y=38.2

z=3-(-15.6)

z=18.6

point of intersection is (-17.6,38.2,18.6)

Five more than four times a number is greater than seven

Answers

Answer:

5+ 4x > 7, x > 1/2

Step-by-step explanation:

the smiths spend 6% of their budget on entertainment. their total budget this year is $1,000 more than last year, this year they plan to spend $2,820 on entertainment. what was their total budget last year?

Answers

Answer: Their total budget last year was $40,000.
Step-by-step explanation:
Given : The Smiths spend 6% of their budget on entertainment.
i.e. , The money they spend on entertainment = 0.06 x ( Total budget)
{ 6% is converted to 0.06 , when we divide it by 100 to remove percentage)
Since , this year they plan to spend $2,580 on entertainment.
i.e. 0.06 x ( Total budget ) = $2,580
On dividing both sides by 0.06 , we get
( Total budget ) = $2,580 ÷ 0.06
= $43,000
Thus , their total budget for this year = $43,000
Also, Their total budget this year is $3,000 more than last year.
Therefore , their last year total budget = ( Total budget this year ) - $3000
= $43,000 - $3000
= $40,000
Hence, their total budget last year was $40,000.

Hope this helps! Also can I have brainliest? It’s ok if no :) have a nice day.

A certain company estimates the reading level of particular books in terms of the minimum grade level of student whom they expect to be able to read and comprehend the book. The box plots below show the reading levels estimates of the top ten novels selected by a survey of young adults in 2012 and 2015.

Answers

Final answer:

A boxplot is a graph that displays the middle 50 percent of a data set, using the minimumvalue, first quartile, median, third quartile, and maximumvalue.

Explanation:

A boxplot is a type of graph that visually displays the middle 50 percent of a data set. It is constructed using the minimum value, first quartile, median, third quartile, and maximum value.

The firstquartile is the median of the lower half of the data, while the third quartile is the median of the upper half.

The whiskers extend from the box to the minimum and maximum values within a certain range. The range can vary, but it's often defined as 1.5 times the IQR. Data points beyond the whiskers are considered outliers and are typically marked individually.

Learn more about box plot here:

brainly.com/question/12591498

#SPJ3

Answer:

less than and less than

Step-by-step explanation:

i got it right on khan academy

To help divide a group into 4 teams, the teacher brought out a bag with equal numbers of 4 different colored popsicle sticks (green, yellow, blue, and red). With 28 students randomly picking a stick, what is the probability that the first stick drawn will be green? A. 0.250 B. 0.571 C. 0.036 D. 0.143

Answers

the set of all possible events Ω

Ω = 24 ( 4*7 = 28 stick)

set of events favorable A
A = 7 ( sticks of green is 7)

Probability P
P(A) = A/Ω = 7/28 = 1/4 = 0,25

Answer A
The first person has the ability to draw seven green sticks of twenty-four

Answer: A) 0.250

Step-by-step explanation:

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