answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
agasfer [191]
1 year ago
6

Which graph shows the solution to the system of linear inequalities? x – 4y < 4 y < x + 1 Image for option 1 Image for opt

ion 2 Image for option 3 Image for option 4

Mathematics
1 answer:
slava [35]1 year ago
7 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

x-4y ----> inequality A

solve for y

-4y

4y>x-4

y> (x/4)-1

The solution of the inequality A is the shaded area above the dashed line

The slope of the dashed line is positive

The y-intercept is the point (0,-1)

The x-intercept is the point (4,0)

y< x+1 ----> inequality B

The solution of the inequality B is the shaded area below the dashed line

The slope of the dashed line is positive

The y-intercept is the point (0,1)

The x-intercept is the point (-1,0)

Using a graphing tool

The solution of the system of inequalities in the attached figure

You might be interested in
The cubit is an ancient unit. Its length equals six palms. (A palm varies from 2.5 to 3.5 inches depending on the individual.) W
olasank [31]

Assuminhg the ark has a shoe-box (cuboid) shape it´s volume would be:

V_{cuboid}=lenght*width*height

We have this three measurements (l=300cubits;w=50cubits;h=30cubits)) and it can be as simple as replacing them in the equation and solving but they are in all in cubits. We will convert them to ft because the problem requires the answer in ft^{3}. In order to do this we will use the given equivalences:

1cubit=6palms\\1palm=3.10in

and another one:

1ft=12in

First we will convert from cubits to palms:

l=300cubits*\frac{6palms}{1cubit}=1800palms\\w=50cubits*\frac{6palms}{1cubit}=300palms\\h=30cubits*\frac{6palms}{1cubit}=180palms\\

now from palms to in:

l=1800palms*\frac{3.10in}{1palm}=5580in\\w=300palms*\frac{3.10in}{1palm}=930in\\h=180palms*\frac{3.10in}{1palm}=558in\\

now from in to ft:

l=5580in*\frac{1ft}{12in}=465ft\\w=930in*\frac{1ft}{12in}=77.5ft\\h=558in*\frac{1ft}{12in}=46.5ft

We can calculate the Volume now like this:

V_{ark}=465ft*77.5ft*46.5ft=1675743.75ft^{3}

The volume of trhe ark would be 1675743.75ft^{3}

6 0
1 year ago
A researcher wants to determine whether the rate of water flow (in liters per second) over an experimental soil bed can be used
pantera1 [17]

Here we are given the specific equation of:

amount of eroded soil = 0.4 + 1.3 x

where x is the flow rate

 

A linear equation has a general formula in the form of:

y = m x + b

where m is the slope and b is the y intercept of the equation

 

If we compare this with our specific equation, we can see that the slope and y intercept are both positive with values:

m = 0.4

b = 1.3

Therefore this only means that as the flow rate increases, the amount of eroded soil also increases.

Hence the correlation must be positive but we cannot solve for the exact value since we need the data for x and y.


Answer: 

positive, but we cannot say what the exact value is

4 0
1 year ago
The vertex of the parabola is at (-3,-2) which of the following could be its equation
ki77a [65]
D;x=-2(y+2)^2-3 is the equation
3 0
1 year ago
Read 2 more answers
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. The box plot compares the monthly average
vovangra [49]

Hello,

The median of the temperatures at Springwood is 86. (median is at the middle).

the median of the temperatures at Meadows is 73. (median is at the middle).

The (IQR) interquartile range of the temperatures at Meadows is 12. (You have to subtract both of the IQR left and right 80 - 68 = 12).

The (IQR) interquartile range of the temperatures at Springwood is 14. (You have to subtract both of the IQR left and right 91 - 77 = 14).

the difference of the medians as a multiple of their average interquartile range is 79.5 is average median and 13 average IQR.

5 0
1 year ago
Read 2 more answers
Fermium-253 has a half life of three days. A sample contains 400 g. How long will it take for the sample to decay to 100 g?
NemiM [27]
After the first three days, the sample size will be half of the initial; therefore, 400g/2= 200g. However, it is asking how long will it take to decay to 100g, so we will take 200g/2= 100g, which will take another three days.  It will take 2 half-lives, which will encompass 6 days.
4 0
1 year ago
Other questions:
  • A nick on the edge of a CD rotates to (−6, 5) during one song when represented graphically.
    8·2 answers
  • Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at random for a special assignment.
    5·1 answer
  • Mr. Rico's small business is starting to make a profit. His costs last week were -$352. His profit last week was $22. How many t
    6·1 answer
  • Madison starts with a population of 1,000 amoebas that triples in size every hour for a number of hours, h. She writes the expre
    9·2 answers
  • The glee club has $90 to spend on pens and pencils. Each pen costs $0.75 and each pencil costs $0.15. Let x represent the number
    7·2 answers
  • Factor completely 7x3y +14x2y3 − 7x2y2.
    8·1 answer
  • A cold water pipe can fill a swimming pool in 4 hours, and a hot water pipe in 6 hours. If cold water pipe is turned on and hot
    8·2 answers
  • Miguel buys a large bottle and a small bottle of juice. The amount of juice that the manufacturer puts in the large bottle is a
    8·1 answer
  • A table costs $50 more than a chair. The cost of 6 chairs and 1 table is $750. The equation 6x + x + 50 = 750, where x is the co
    14·1 answer
  • Amy is 1 year older than Ben. The sum of their ages is greater than 33 and less than 45 Find all possible ages of Ben
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!