Please help
Solve this system of inequality by graphing.

Answer:

y= -1x+7

or

y = -1x + b

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(2,5) and (4,3).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (2,5), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=2 and y1=5.

Also, let's call the second point you gave, (4,3), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=4 and y2=3.

Now, just plug the numbers into the formula for m above, like this:

m=

3 - 5

4 - 2

or...

m=

-2

2

or...

m=-1

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=-1x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(2,5). When x of the line is 2, y of the line must be 5.

(4,3). When x of the line is 4, y of the line must be 3.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=-1x+b. b is what we want, the -1 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (2,5) and (4,3).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(2,5). y=mx+b or 5=-1 × 2+b, or solving for b: b=5-(-1)(2). b=7.

(4,3). y=mx+b or 3=-1 × 4+b, or solving for b: b=3-(-1)(4). b=7.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(2,5) and (4,3)

is

y=-1x+7

Step-by-step explanation:

The point (12, 5)

x = 12, y = 5

=> r =√12²+5² =√144+25= √169=13

so, cos θ = x/r = 12/13 and

cot θ = x/y = 12/5

Answer:

17150 ft²

Step-by-step explanation:

Given the ratio of sides = a : b , then

ratio of areas = a² : b²

Here ratio of sides = 175 : 40 = 35 : 8 , then

ratio of areas = 35² : 8² = 1225 : 64

let x be the area of AT & T Stadium then by proportion

[tex]\frac{x}{1225}[/tex] = [tex]\frac{896}{64}[/tex] ( cross- multiply )

64x = 896 × 1225 = 1097600 ( divide both sides by 64 )

x = 17150

The AT & T screen has an area of 17150 ft²

Explanation:

You are basically graphing the three horizontal lines y = 6, y = 4 and y = 2; however, there are restrictions to each line.

That's how we get the staircase pattern as shown in graph A. This is considered a piecewise function since we're graphing pieces of various other functions.

Note the use of open holes vs closed circles for the endpoints. The open holes correspond to parts of the inequality that don't have "or equal to", which means we leave that part out of the graph. In contrast, the closed fill in circles do have "or equal to" associated with them, so we do include those endpoints.

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x + 3x - 10 = 90

Combine like terms

5x - 10 = 90

Add 10  to both sides

5x = 90+10

5x = 100

Divide both sides by 5

x =100/5

x = 20

Answer:

Fewer than 286

Step-by-step explanation:

Average daily guest = visitors per week / number of days in a week

2000 / 7 = 285.7 = 286 guests

Answer:

A1 = Triangle (this can be calculated using the formula 1/2×base×height. Base =9 and height =13)

A2 = Square (3×5=15)

Add A1 + A2 to get the total area = 73.5

The criteria that is excluded from national benchmark test is Qualitative literacy. That is option C.

National Benchmark Test is an academic assessment test usually written by students that are about entering the university.

The National Benchmark Tests comprise three multiple choice tests, written as:

Qualitative literacy is the ability to understand and interpret qualitative evidence. It is not included in the national benchmark test criteria.

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Answer:

11

Step-by-step explanation:

3 + [tex]\sqrt{16}[/tex] ÷ 2 * 4

work for the root first

3 + [tex]\sqrt{4*4}[/tex] ÷ 2 * 4

3 + 4 ÷ 2 * 4

now divide 4 by 2

3 + 2 * 4

then do multiplication

3 + 8

11

Answer:

11

Step-by-step explanation:

Following the order of operations in PEMDAS

Given

3 + [tex]\sqrt{16}[/tex] ÷ 2 × 4 ← evaluate the square root

= 3 + 4 ÷ 2 × 4

When multiplication appear on the same line evaluate from left to right

= 3 + 2 × 4

= 3 + 8

= 11

A fruitseller bought 50kg of the fruits. He sold 30kg of fruits for the cost price of 35kg of fruits and he sold the remaining quantity for the cost Price of 18kg of fruits. calculate his profit or loss percent in the total transaction.

let the cost price be 50x

→he sells 30kg of fruits on it's CP of 35 kg

→CP of 30kg fruits = 30x

→SP of 35kg fruits = 35x

→remaing fruits are 20kg

→he sells 20kg of fruits on CP of 16kg

→CP of 20kg fruits = 20x

→SP of 20kg fruits = 16x

→total CP is = 50x

→total SP is = (35 + 16) = 51x

→SP > CP (it means profit)

→profit = SP-CP

→ 51-50

→ 1

→ Profit% = gain/CP × 100

→ Profit% = 1/50 × 100

→ 2%

Hence the fruit seller had a profit% of 2%.

Answer:

B is your answer to this question

Answer:

First Option

Step-by-step explanation:

Answer: -1410

Step-by-step explanation:

Let's start by subbing in -4 for x

[tex]-4x^4 - 3x^3 - 29x^2 - 114\\-4(-4)^4-3(-4)^3-29(-4)^2-114[/tex]

Now we can solve

[tex]-4(256)-3(-64)-29(16)-114\\-1024--192-464-114\\-832-464-114\\-1296-114\\-1410[/tex]

Answer:

[tex]-1440[/tex]

Step-by-step explanation:

------------------------------

Given:

[tex]-4x^4-3x^3-29x^2-114=[/tex]

[tex]x=-4[/tex]

--------------->>>>

Let's substitute [tex]-4[/tex] for [tex]x[/tex] and solve

[tex]-4(-4)^4-3(-4)^3-29(-4)^2-144=[/tex]

Multiply the exponents

[tex]-4(256)-3(-64)-29(16)-144=[/tex]

Multiply the parenthesis

[tex]-1024+192-464-144=[/tex]

[tex]-832-464-144=[/tex]

[tex]-1296-144=[/tex]

[tex]=-1440[/tex]

------------------------------

Hope this helps.

Answer:

11,304.0 cm³

Step-by-step explanation:

the volume = π.r².h

= 3.14 × 20² × 9

= 11,304

Answer:

12

Step-by-step explanation:

Step-by-step explanation:

Exterior angle of a dodecagon (12-sided regular polygon) is supplementary to its interior angle.

Sum of all interior angles of

N

-sided regular polygon equals to

(

N

−

2

)

⋅

180

o

.

Therefore, sum of interior angles of

12

-sided polygon is

(

12

−

2

)

⋅

180

o

=

1800

o

All 12 interior angles of dodecagon are equal, so each is

180-30

150

A supplementary exterior angle, therefore, equals to

180-150

=30

hopeit helps..

Answer

The measure of each exterior angle of a regular dodecagon is 30 degrees.

A regular dodecagon is a 12-sided regular polygon with each side equal.

We are asked to find the measure of each exterior angle of a regular dodecagon.

We know that measure of each angle of n-sided regular polygon can be found using

= 360/n

Upon substituting n = 12 in above formula, we will get:

= 360 / 12

= 30

Therefore, the measure of each exterior angle of a regular dodecagon is 30 degrees.

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Answer:

x≥-4

Step-by-step explanation:

-2-3x ≤ 10

Add 2 to each side

-2-3x+2 ≤10+2

-3x ≤ 12

Divide by -3, remembering to flip the inequality

-3x/-3 ≥ 12/-3

x≥-4

Answer:

Easy x[tex]\geq[/tex]4

Step-by-step explanation:

a)-2-3x[tex]\leq[/tex]10 can be broken down by

b)-2-3x[tex]\leq[/tex]10

+2       +2

c)-3x[tex]\leq[/tex]12

  +3     +3

d) x[tex]\geq[/tex]4

Answer:

D

Step-by-step explanation:

The recursive formula allows us to find any term in a sequence by adding the common difference d to the previous term.

Here d = - 1 - (- 7) = - 1 + 7 = 6 , then

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 6 ; a₁ = - 7

Answer:

4 x 3/4 = 3

Step-by-step explanation:

Answer:

They are not congruent because the lines aren't parallel.

Step-by-step explanation:

For all of those angle relation theorems to be valid, PARALLEL lines need to be split by a transversal.

Answer:

[tex]x=-2[/tex] ⇒ [tex]y=2[/tex]

[tex]x=-1[/tex] ⇒ [tex]y=-4[/tex]

[tex]x=0[/tex] ⇒ [tex]y=-6[/tex]

[tex]x=1[/tex] ⇒ [tex]y=-4[/tex]

Step-by-step explanation:

Formula: [tex]y=2x^{2} -6[/tex]

To find the value of [tex]y[/tex] add the value of [tex]x[/tex] given:

Now solve for each:-

For:

[tex]x=-2[/tex]

[tex]y=2(-2)^{2} -6[/tex]

[tex]y=2[/tex]

For:

[tex]x=-1[/tex]

[tex]y=2(-1)^{2} -6[/tex]

[tex]y=-4[/tex]

For:

[tex]x=0[/tex]

[tex]y=2(0)^{2} -6[/tex]

[tex]y=-6[/tex]

For:

[tex]x=1[/tex]

[tex]y=2(1)^{2}-6[/tex]

[tex]y=-4[/tex]

hope this helps.....

Answer:

3.5

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

4+x-3=2x-5

1+x=2×-5

2x-x=6

x=6

Answer:

x = 4 is the answer

PLease give a brainliest

Answer:

Step-by-step explanation:

[tex] = > 12 \times 2[/tex]

[tex] = 24[/tex]

Answer:Decreasing

Step-by-step explanation:

The line is going down.

The given graph is decreasing. The correct option is A.

Increasing graph: A graph is considered increasing if it moves upwards as you move from left to right along the x-axis. In other words, the y-values increase as the x-values increase. This is often represented by a positive slope, where the line or curve ascends as it extends to the right.

Decreasing graph: A graph is considered decreasing if it moves downwards as you move from left to right along the x-axis. In this case, the y-values decrease as the x-values increase. It is represented by a negative slope, where the line or curve descends as it extends to the right.

Constant graph: A graph is considered constant if it remains flat and does not rise or fall as you move along the x-axis. The y-values do not change with increasing x-values, and this is represented by a horizontal line.

In given figure the line goes to downwards and the vales of y is decreasing  for the increasing values of x.

Hence, the given graph is decreasing. The correct option is A.

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Answer:

A

Step-by-step explanation:

Answer:

25 ft

Step-by-step explanation:

Answer:

teri maa ki chut me mera land madarchod sale gand marunga teri