Graph the system of inequalities:
-x + 2y - 4 <0
3x + 4y + 420

Graph The System Of Inequalities:-x + 2y - 4 &lt;03x + 4y + 420

Answers

Answer 1

Step-by-step explanation:

draw the graph then use the graph to answer the following questions


Related Questions

The surface area of a right cone which has a base diameter of 6 units and a height of 8 units is:
75 units squared.
108 units squared.
151 units squared.
188 units squared.

Answers

The area of a 2D form is the amount of space within its perimeter. The surface area of the cone is 108.79967 units².

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Given the diameter of the cone is 6 units, therefore, the radius of the cone is 3 units, and the height of the cone is 8 units. Thus, the surface area of the right cone is,

A=πr [r+√(h²+r²)]

A = 108.79967 units²

Hence, the surface area of the cone is 108.79967 units².

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The first four terms of a sequence are shown on the graph below. On a coordinate plane, points are at (1, negative 1), (2, 8), (3, negative 16), (4, 32). What can be concluded about the sequence? The common ratio of the sequence is 2. The common difference of the sequence is 2. The next term of the sequence is represented by the point (5, 64). The next term of the sequence is represented by the point (5, –64).

Answers

Answer:

The next term of the sequence is represented by the point (5, –64)

Step-by-step explanation:

Note: The first point should be (1, - 4)

According to the points, the sequence is:

t₁ = - 4, t₂ = 8, t₃ = - 16, t₄ = 32

or

- 4, 8, - 16, 32, ...

We can observe it is a geometric sequence with common ratio of - 2, as:

r = 32/ - 16 = - 16/8 = 8/ - 4 = - 2

The following term is:

t₅ = t₄*r = 32*(- 2) = - 64

The coordinates of same term are:

(5, - 64)

As we see the correct answer choice is D.

The revenue from selling x necklaces is r(x) =10x. The cost of buying x necklaces is c(x)=4x+15. The profit from selling x necklaces is p(x)=r(x)-c(x).

Answers

Answer:

the revenue is 280 by 190

find the area of the shaded polygons

Answers

Answer:

  4 square units

Step-by-step explanation:

The vertices of the figure are on grid points, so it is appropriate to use Pick's theorem to find the area.

__

formula

Pick's theorem tells you the area is ...

  A = i +b/2 -1

where i is the number of grid points interior to the figure (0), and b is the number of grid points on the boundary (10).

application

Using the counted values in the formula, we find the area to be ...

  A = 0 +10/2 -1 = 4

The area of the polygon is 4 square units.

_____

Additional comment

There are several other ways to find the area. Here are a couple:

decompose the figure

A horizontal line 1 unit up from the bottom will divide the figure into a trapezoid and a triangle. The trapezoid has bases 4 and 1, and height 1, so its area is ...

  A = 1/2(b1 +b2)h = 1/2(4 +1)(1) = 5/2

The triangle has base 1 and height 3, so its area is ...

  A = 1/2bh = 1/2(1)(3) = 3/2

Then the total area is 5/2 +3/2 = 8/2 = 4 square units.

subtract empty space

The figure occupies a 4×4 square with triangles removed from the left side and the top. Each of those triangles has a base of 4 and a height of 3. The remaining (shaded) area is ...

  A = s² -1/2bh -1/2bh

  A = 4² -1/2(4)(3) -1/2(4)(3) = 16 -12 = 4 square units

please answer this question​

Answers

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Given :-

• [tex]\sf{ Polynomial :- ax^{2} + bx + c }[/tex]

• The zeroes of the given polynomial are α and β .

Let's Begin :-

Here, we have polynomial

[tex]\sf{ = ax^{2} + bx + c }[/tex]

We know that,

Sum of the zeroes of the quadratic polynomial

[tex]\sf{ {\alpha} + {\beta} = {\dfrac{-b}{a}}}[/tex]

And

Product of zeroes

[tex]\sf{ {\alpha}{\beta} = {\dfrac{c}{a}}}[/tex]

Now, we have to find the polynomials having zeroes :-

[tex]\sf{ {\dfrac{{\alpha} + 1 }{{\beta}}} ,{\dfrac{{\beta} + 1 }{{\alpha}}}}[/tex]

Therefore ,

Sum of the zeroes

[tex]\sf{ ( {\alpha} + {\dfrac{1 }{{\beta}}} )+( {\beta}+{\dfrac{1 }{{\alpha}}})}[/tex]

[tex]\sf{ ( {\alpha} + {\beta}) + ( {\dfrac{1}{{\beta}}} +{\dfrac{1 }{{\alpha}}})}[/tex]

[tex]\sf{( {\dfrac{ -b}{a}} ) + {\dfrac{{\alpha}+{\beta}}{{\alpha}{\beta}}}}[/tex]

[tex]\sf{( {\dfrac{ -b}{a}} ) + {\dfrac{-b/a}{c/a}}}[/tex]

[tex]\sf{ {\dfrac{ -b}{a}} + {\dfrac{-b}{c}}}[/tex]

[tex]\bold{{\dfrac{ -bc - ab}{ac}}}[/tex]

Thus, The sum of the zeroes of the quadratic polynomial are -bc - ab/ac

Now,

Product of zeroes

[tex]\sf{ ( {\alpha} + {\dfrac{1 }{{\beta}}} ){\times}( {\beta}+{\dfrac{1 }{{\alpha}}})}[/tex]

[tex]\sf{ {\alpha}{\beta} + 1 + 1 + {\dfrac{1}{{\alpha}{\beta}}}}[/tex]

[tex]\sf{ {\alpha}{\beta} + 2 + {\dfrac{1}{{\alpha}{\beta}}}}[/tex]

[tex]\bold{ {\dfrac{c}{a}} + 2 + {\dfrac{ a}{c}}}[/tex]

Hence, The product of the zeroes are c/a + a/c + 2 .

We know that,

For any quadratic equation

[tex]\sf{ x^{2} + ( sum\: of \:zeroes )x + product\:of\: zeroes }[/tex]

[tex]\bold{ x^{2} + ( {\dfrac{ -bc - ab}{ac}} )x + {\dfrac{c}{a}} + 2 + {\dfrac{ a}{c}}}[/tex]

Hence, The polynomial is + (-bc-ab/c)x + c/a + a/c + 2 .

Some basic information :-

• Polynomial is algebraic expression which contains coffiecients are variables.

• There are different types of polynomial like linear polynomial , quadratic polynomial , cubic polynomial etc.

• Quadratic polynomials are those polynomials which having highest power of degree as 2 .

• The general form of quadratic equation is ax² + bx + c.

• The quadratic equation can be solved by factorization method, quadratic formula or completing square method.

A box contains 7 plain pencils and 5 pens. A second box contains 4 color pencils and 4 crayons. One item from each box is chosen at random. What is the probability that a pen from the first box and a crayon from the second box are selected?
Write your answer as a fraction in simplest form

Answers

Answer:

5/24

Step-by-step explanation:

Probability of selecting a pen :

⇒ Number of pens / Total items in Box 1

⇒ 5 / 7 + 5

5/12

=============================================================

Probability of selecting a crayon :

⇒ Number of crayons / Number of items in box 2

⇒ 4 / 4 + 4

⇒ 4/8

1/2

===========================================================

Probability (of both events) :

⇒ 5/12 × 1/2

5/24

Which number line represents the solution set for the inequality -4(x + 3) ≤-2-2x?
++
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
4
5 6 7
O
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
4 5 6 7
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
-7 -6 -5 -4 -3 -2 -1 0 1
2
3
4
6 7
ليا
نی
für
fe
LO
5

Answers

Answer:

x<_-5

Step-by-step explanation:

-4(x+3)<_-2-2x

-4x-12<_-2-2x

-4x+2x<_-2+12

-2x<_+10

divide both side by -2

-2x/2<_10/-2

x<_-5

it is D

PLS help me with my math

Answers

i dont know either your on your own

Step-by-step explanation:

i just dont know

Triangle P Q R is shown. Angle Q P R is a right angle. The length of Q P is 8 StartRoot 3 EndRoot and the length of P R is 8.
Consider triangle PQR. What is the length of side QR?

Answers

Answer: Length of side QR is 16 units.

Step-by-step explanation: Given that dimensions of  PQR

QPR= 90degrees

Round 0.007492 to four decimal places.

Answers

Answer: 0.0075

Just round up the 4 to 5 then u got your answer.

In a shipment of 20 computers, 3 are defective. Three computers are randomly selected and tested. What is the probability that all three are defective if the first and second ones are not replaced after being tested? (1/1140)

Please help me to answer this question. This question is under of topic basic and rule probability. I hope one of you guys can come up with a complete answer.​

Answers

Answer:

a. 1/760

b.1/1140

c.27/8000

d.3/5000

I chose D, is this correct

Step-by-step explanation:

The parabola y=x^2y=x
2
y, equals, x, squared is shifted up by 777 units and to the left by 111 unit.
What is the equation of the new parabola?
y=y=y, equals

Answers

Answer:

Step-by-step explanation:

The parabola y=x^2 is shifted up by 7 units and to the left by 1 unit.

Answer:

y=(x+1)^2 +7

When the parabola y=x² is  shifted up by 7 units and to the left by 1 unit then the equation of the new parabola is y = (x-1)² + 7.

When a parabola is shifted vertically or horizontally, its equation changes accordingly.

In this case, the parabola y = x² is shifted up by 7 units and to the left by 1 unit.

Adding a constant value to the function shifts the graph vertically.

In this case, adding 7 to the original function y = x² will shift it up by 7 units:

y = x² + 7

Subtracting a constant value from the input of the function shifts the graph horizontally.

In this case, subtracting 1 from the x-values of the function y = x² + 7 will shift it to the left by 1 unit:

y = (x-1)² + 7

Hence,  the equation of the new parabola after both shifts is y = (x-1)² + 7.

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Above is a table that gives the interest per every $100 financed. Use the table to determine the annual percentage rate for a 35 month loan that charges $22.38 per every $100 financed.
a.
13%
c.
15%
b.
14%
d.
16%

Answers

The annual percentage rate for a 35 month loan that charges $22.38 per every $100 financed is seen from the table to be 14%.

How to determine Annual Percentage Rate?

From the table, the APR for 35 months loan that charges $22.38 per every $100 financed is seen to be 14%.

Thus, we can conclude that the annual percentage rate for a 35 month loan that charges $22.38 per every $100 financed is seen from the table to be 14%.

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Answer:

a. 13%

Step-by-step explanation:

E2020!

if p(a)=a^3-6a^2+11a-9 and p(a)=-3,find the value of a?​

Answers

correct because if you do the math correctly you solve it

Help please I’ll make it brainliest!!!!!

Answers

Step-by-step explanation:

it is very simple, once you remember that "kilo" means 1000, "mili" means 1/1000, and "centi" means 1/100.

and therefore 1 cg = 10 mg, or 1 cm = 10 mm.

"deci" means 1/10.

and therefore 1 dm = 100 mm, 1dg = 100 mg.

1.

9.32 kg = 9.32×1000 = 9320 g

2.

1.429 g = 1.429/1000 = 0.001429 kg

3.

287 g = 287/1000 = 0.287 kg

4.

4.6 L = 4.6×1000 = 4600 mL

5.

0.119 L = 0.119×1000 = 119 mL

6.

9936 mL = 9936/1000 = 9.936 L

7.

26793 mL = 26793/1000 = 26.793 L

8.

0.06 L = 0.06×1000 = 60 mL

9.

170 cg = 170×10 = 1700 mg

10.

2674 cm = 2674/100 = 26.74 m

11.

9.05 mm = 9.05/100 = 0.0905 dm

12.

2 L = 2×1000 = 2000 mL

13.

62.4 L = 62.4×1000 = 62400 mL

14.

99.9 mm = 99.9/1000 = 0.0999 m

15.

4.34 g = 4.34×100 = 434 cg

16.

10 km = 10×1000 m = 10×1000×1000 = 10000000 mm

17.

65 cL = 65/100 = 0.65 L

18.

105 mL = 105/1000 = 0.105 L

19.

0.27 g = 0.27×100 = 27 cg

20.

7777 m = 7777/1000 = 7.777 km


Which of the following polygons is a quadrilateral

Answers

Answer:

C

Step-by-step explanation:

A quadrilateral is a shape with 4 sides.

A is a triangle, 3 sides

B is a pentagon, 5 sides

D is a hexagon, 6 sides

C is a quadrilateral, 4 sides

Answer:

Step-by-step explanation:

c

a quadrillateral quadrilateral has four sides

Which choice describes the value of m when –5(m + 1) ≤ 23?
A 28
5
m  
B 28
5
m  
C 18
5
m  
D 18
5

Answers

The first step to solving almost any problem is to determine what the question is asking and what is given to us to help solve that problem.  Looking at the problem statement, they are asking for us to determine which option best describes the value of m in the expression provided.  The only thing that we are provided with is an expression which we need to solve for m.

Let's begin to solve the expression for m by first dividing both sides by -5.  However, since we are dividing by a negative, that means that we must flip the sign.

Divide both sides by -5

[tex]-5(m + 1) \le 23[/tex][tex]\frac{-5(m + 1)}{-5} \le \frac{23}{-5}[/tex][tex]m + 1 \ge -\frac{23}{5}[/tex]

The next step that we must take is to subtract 1 from both sides but before that let's convert it into an improper fraction with a denominator of 5 so we can easily deal with it with the other fraction.

Subtract both sides by 1

[tex]m + \frac{5}{5} - \frac{5}{5} \ge -\frac{23}{5} - \frac{5}{5}[/tex][tex]m \ge -\frac{23}{5} - \frac{5}{5}[/tex][tex]m \ge \frac{-23 - 5}{5}[/tex][tex]m \ge \frac{-28}{5}[/tex]

We have finally came up to our final answer which would state that m is greater than or equal to negative 28 over 5.  The options that you have provided seem like the formatting has messed up but I'm sure that on your side you can see the correct answer.

Using a table of values, determine the solution to the equation below to the nearest fourth of a unit.
2-5x=2x-3

Answers

The solution to the equation below to the nearest fourth of a unit is 0.7142

Equations and expressions

Given the equation as shown below;

2-5x=2x-3

Collect the like terms

-5x - 2x = -3 - 2

-7x = -5

Divide both sides by -7

x = -5/-7

x = 5/7

x= 0.7142

Hence the solution to the equation below to the nearest fourth of a unit is 0.7142

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the area of a rectangle gets reduced by 9 square units if its length is reduced by 5 units and the breadth is increased by 3 units if we increase the length by 3 units and the breadth by 2 units then the area is increased by 67 square units find the dimensions of the rectangle.

Answers

length = 17 units, breadth = 9 units

Step-by-step explaination:-

Let the length and the breadth of the rectangle be x units and y units respectively.

Then the area of rectangle = xy square units

According to given conditions, we have

(x -5)(y + 3) = xy - 9 and (x + 3)(y + 2) = xy + 67

=> xy + 3x - 5y - 15 = xy - 9

and xy + 2x + 3x + 6 = xy + 67

=> 3x - 5y - 6 = 0......eqn(i)

and 2x + 3y - 61 = 0.....eqn(ii)

Multiplying equation (i) by 2 and equation (ii) by 3, we get...

6x - 10y - 12 = 0....eqn(iii) and,

6x + 9y - 183 = 0....eqn(iv)

Subtracting equation (iii) from equation (iv), we get...

19y - 171 = 0 => y = 9.

Substituting this value of y in equation (ii), we get

2x + 3 × 9 - 61. = 0 => 9x - 34 = 0 => x = 17.

Hence, the length of rectangle = 17 units and

breadth = 9 units.

Hope it helps you!!

calculate volume of a planet if radius is 6050 and answer in scientific notation
to the 2 significant number

Answers

Answer:

9.3*10^11

Step-by-step explanation:

4/3πr^3=9.3*10^11

Graph the function.
f(x)=3z-5
Use the Line tool and select two points to graph

Answers

The plot of the graph is attached and points have been determined

The two among them are (5,-2) ,(15,4).

What is a  Line Function ?

A line function is what can be written in the form of

y =mx +c

where m is the slope and c is the intercept on y axis.

The equation given here is y = (3/5)x -5

m = 3/5

c = -5

The plot of the graph is attached and points have been determined

The two among them are (5,-2) ,(15,4)

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Which of these show the correct shape after the translation?

I CAN’T SHOW ALL OF THE ANSWER CHOICES BUT CAN SOMEONE TELL ME IF I CHOSE THE RIGHT ANSWER?

Answers

The option that depicts a translation is option B. See the attached image and the explanation for this answer below.

What is Translation in Mathematics?

Translation in Math refers to the movement of a shape vertically or horizontally along the x or y-axis without altering its original dimensions.

Going by the above definition, it is clear that Option B is the translated image (assuming that the original image is as given in the image attached.

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I need help ASAP PLEASE > How does the graph of f(x) = (x + 7)3 − 8 compare to the parent function g(x) = x3? (Please explain with your on words)

Answers

Answer:

The graph has been moved 7 units to the left and 8 units down.

Step-by-step explanation:

When numbers are added directly to the "x" value, the graph shifts to the left. If negative numbers are added directly to the "x" value, the grap shifts to the right. Therefore, if there is a +7 directly altering the "x" value, the function shifts 7 units to the left.

When a number is added to the overall function, it shifts upwards. If this number is negative, the entire function shifts downwards. Therefore, if there is a -8 outside altering the function, then it has been shifted 8 units down.


Carol has some dimes and quarters. If she has 19 coins worth a total of $3.10, how many of each type of coin does she have?

Answers

Answer: 11 dimes and 8 quarters

Explanation:

11x0.10 = 1.10
8x0.25= 2
1.10 + 2 = 3.10

And 11 + 8 = 19 coins

The radius of Circle A is 3 ft. The radius of Circle B is 3 ft greater than the radius of
Circle A. The radius of Circle C is 3 ft greater than the radius of Circle B. The radius of Circle D is 2 ft
less than the radius of Circle C. What is the area of each circle? How many times greater than the
area of Circle A is the area of Circle D?

Answers

Answer:

Step-by-step explanation:

Ar of circle

A= 49π

B=100π

C=169π

D=121π

Ar of circle A is less than Ar of circle D

Use the spinner below to find the probability of getting the following number after 1 spin. P(multiple of 3) = (Round to 4 decimal places)

Answers

The value of the probability P(multiple of 3) is 0.3333

How to determine the probability?

The spinner that completes the question is added as an attachment

From the attached spinner, we have:

Total section = 12Multiples of 3 = 4

The probability is then calculated as:

P(multiple of 3) = Multiples of 3/Total

This gives

P(multiple of 3) = 4/12

Evaluate

P(multiple of 3) = 0.3333

Hence, the value of the probability is 0.3333

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The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.

Answers

The shaded area expressed as a fraction, a decimal, and a percent of the whole is 23/100, 0.23 and 23% respectively

Fractions, Decimals and Percentages

From the question, we are to express the shaded area as a fraction, a decimal, and a percent of the whole.

In the diagram, there are 100 total squares and 23 of them are shaded

Expressing the shaded area as a fraction, we get

[tex]\frac{23}{100}[/tex]

Expressing the shaded area as a decimal, we get

[tex]\frac{23}{100}[/tex] = 0.23

Expressing the shaded area as a percent , we get

[tex]\frac{23}{100}\times 100\%[/tex] = 23%

Hence, the shaded area as a fraction, a decimal, and a percent of the whole is 23/100, 0.23 and 23% respectively

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please help!!!! needs to be submitted

Answers

The coordinates of the image of triangle are transformation are X = (1,3), Y = (5,-3) and Z = (-1, -7)

How to determine the transformation?

From the figure, the coordinates of the triangle are:

A = (-1, -1)

B = (1, 2)

C = (-2,4)

The transformation rule is given as:

[tex]\triangle XYZ = T_{ < 3,1 > }(R_{x-axis}(D_2(\triangle ABC)))[/tex]

This means that, we start by dilating the triangle by a scale factor of 2.

So, we have:

A' = (-2, -2)

B' = (2, 4)

C' = (-4,8)

Next, we rotate the triangle across the x-axis

So, we have:

A'' = (-2, 2)

B'' = (2, -4)

C'' = (-4,-8)

Lastly, we translate the triangle by (x + 3,y + 1) to get the triangle XYZ

So, we have:

X = (1,3)

Y = (5,-3)

Z = (-1, -7)

See attachment for the image of the transformation

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Problem is in the picture

Answers

So, based on the problem, we know that the value of x is the number of years since 2000. If x is 5 as suggested in the problem, then the year is 2005, which means we will have to type in an answer in the box for choice b.
So, now to find the cost of agricultural exports, we can use the equation provided.
E(x) = 1.1x - 1.47
E(5) = 1.1(5) - 1.47
E(5) = 5.5 - 1.47
E(5) = 4.03

write each equation in slope intercept form x+7y=48

Answers

Answer:

y=-1/7+48/7

Step-by-step explanation:

You want to isolate the Y so you subtract the x to the other side.

Next you divide both numbers on the right hand side by 7 and that gives you

y=-1/7+48/7

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Which measure of central tendency would Hayley use if she wanted to prove to her parents that she did not spend too much money on clothing? What is the slope of the line that is parallel to the line whose equation is 4x + y2 = 0? What can you conclude about the population density from the table provided? Population Area (km) Region A 20,178 521 Region B 1,200 451 Region C 13,475 395 Region D 6,980 426 Explain in your own words what intersectional feminism is and provide an example. 15 and 12 are the two longest side lengths of a right triangle. What should the shortest side lengthbe in order to form a Pythagorean Triple? Which step is the same when constructing an inscribed regular hexagon and an inscribed equilateral triangle?. A train leaves Little Rock, Arkansas, and travels north at 85 kilometers per hour. Another train leaves at the same time and travels south at 85 kilometers per hour.How long will it take before they are 680 kilometers apart? Palliative radiation treatment may: Group of answer choices remove the tumor. divide the tumor. shrink the tumor. enlarge the tumor. Match each form of energy with its description.kinetic energythermal energygravitational potential energyradiant energyelectrical energylightning produced during a storma piece of fruit hanging from a treeradio waves transmitted from a towersand on the beach feels warmto the toucha box moving along a conveyor belt Using these lines from Act I and Act V, explain why it was important for Shakespeare to introduce the play with the account of Macbeth's performance in the battle against Macdonwald.ACT I, Scene IIBut all's too weak;For brave Macbeth,well he deserves that name,Disdaining fortune, with his brandish'd steel,Which smok'd with bloody execution,Like valor's minion,Carv'd out his passageTill he fac'd the slave;And ne'er shook hands, nor bade farewell to himACT V, Scene VIIWhat's more to do,Which would be planted newly with the time,As calling home our exil'd friends abroad,That fled the snares of watchful tyranny;Producing forth the cruel ministersOf this dead butcher, and his fiend-like queen,Who, as 'tis thought, by self and violent handsTook off her life;You must cite from and explain these lines in your response. help me with thisfill the blankPlease What was life like before the American Industrial Revolution? What types of jobs did people have?What was life like after the American Industrial Revolution? What types of jobs did people have? What region of the United States did communication and transportation really grow during the American Industrial Revolution? What was life like as an immigrant in the 1800s in the United States? Some people viewed immigrants as an opportunity to have cheap labor. What does this mean?YOU DONT HAVE TO ANSWER IT ALL ATLEAST 2 PLEASE?