Which system of inequalities is represented by this graph?
Responses

{y>−2x−4
y≤x+1


{y<−2x−4
y≤x+1


{y<−2x−4
y −2x−4
y

By writing an exponential equation, we can conclude that the initial deposit is of $606.22

Here we know that we have an annual rate of 6%, so if you deposit an initial amount of A, the amount of money that the account has after t years is:

M(t) = A*(1 + 6%/100%)^t = A*(1.06)^t

Now, you know that after 8 years you earn (in interest) $360, then we can write:

M(8) - A = 360

A*(1.06)^8 - A = 360

Now we can solve that equation for A.

A*( (1.06)^8 - 1) = 360

A =  360/( (1.06)^8 - 1) = 606.22

The initial deposit is of $606.22

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Answer:

The common difference equals: 6

The sum of the sequence equals: 176

The explicit formula of this sequence is:  a_n=1+(n-1)*6

The recursive formula of this sequence is: a_n=a_((n-1))+6

1,7,13,19,25,31,37,43,49,55,61...

Step-by-step explanation:

nice :0

Answer:

The value of b would be $25 since it's the initial amt. The value of m would be $8. The equation would be y=8x+25

The distance between the two points is approximately 19.18 units

The length of the line segment connecting any two points is referred to as their distance. In coordinate geometry, the distance formula is usedto calculate the distance between two points.

In 1731, the distance formula itself was first made public. Pythagorean distance is another name for Euclidean distance. The Pythagoras is used to derive the distance formula.

If two point are given as A [tex](x_1,y_1)[/tex] and B [tex](x_2,y_2)[/tex] then the distance between the two points or the length of AB is calculated using the formula:

[tex]AB = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

The co ordinates of the two points are given as [tex](5\sqrt{3},7\sqrt5 )[/tex] and [tex](-\sqrt{3},-\sqrt{5} )[/tex].

Therefore distance between the points will be given by:

[tex]=\sqrt{(5\sqrt{3} - \sqrt{3} )^2 + (7\sqrt{5} -(-\sqrt{5} )^2}\\=\sqrt{(4\sqrt{3})^2+(8\sqrt{5})^2 }\\=\sqrt{48+320}\\=\sqrt{368}\\\approx19.18[/tex]

The distance between the two points is approximately 19.18 units.

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The speed of the second pedestrian is 5 kilometers per hour.

Let's say that the speed of the second pedestrian is S.

We know that the other pedestrian walks at a speed of 4km/h, and they (together) travel a distance of 27km in 3 hours, then we can write the linear equation:

(4km/h + S)*3h = 27km

It says that both pedestrians work, together, a total of 27km in 3 hours.

Now we can solve that linear equation for S, to do this, we need to isolate S in the left side of the equation.

4km/h + S = 27km/3h = 9 km/h

S = 9km/h - 4km/h = 5km/h

The speed of the second pedestrian is 5 kilometers per hour.

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Answer:

Step-by-step explanation:

Simplifying

3 + -4x = 23

Solving

3 + -4x = 23

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -4x = 23 + -3

Combine like terms: 3 + -3 = 0

0 + -4x = 23 + -3

-4x = 23 + -3

Combine like terms: 23 + -3 = 20

-4x = 20

Divide each side by '-4'.

x = -5

Simplifying

x = -5

Answer: a) 5

Step-by-step explanation:

Answer:

A:5

Step-by-step explanation:

I say 5 times because you said '1 green cube and 2 whites' it is very possible you can get green 5 times but 10, 15, and 20 times seems a bit lucky is maybe the word i'm looking for but overall i say 5 because 5 is possible. Virtual smile ; )

I really hope i helped

Answer: -3

Step-by-step explanation:

Parallel lines have the same slope.

The slope of f(x)=-3x+12 is -3.

Slope: -3

Answer:

The slope would be -3

Step-by-step explanation:

The number before the x represents the slope.  Parallel lines have the same slope.

Answer:

2200

Step-by-step explanation:

1/10 of 2000 is 200. add it on top of 2000

Answer:

93750 is the answer!!!!!

Leta has $24 in her account in august;

Amount of money in Leta's Account in may=$ 45

If leta has not spent a penny till august,and not added a penny in her account, then amount of money in leta's account = $45

Money in Leta's account in June = $45 - $17 = $28

Money in Leta's account in July = $28 - $22 = $6

Money in Leta's account in August = $6 + $18 = $24

Amount, sum, sum of money; "he borrowed a considerable sum," "the amount he had in cash was insufficient." Gain is the difference between a company's revenue and operating expenses. The whole amount of income before any deductions is referred to as gross, receipts, or revenue.

The amount of money you have accessible in your checking or savings account is known as your account balance in the world of banking. The net amount remaining in your account after all deposits and credits have been balanced against any charges and debits is your account balance.

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Answer:

[tex]32000( {1.07}^{x} ) > 75000[/tex]

The required inequality represents the worth of the car more than $75,000 is 32000[1.07]ˣ > 75000.

Given that,
A vintage car costs $32,000 when purchased. The car increases in value by approximately 7% at the end of each year, x, after it is purchased.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
According to the question,
The relationship of the cost of the car after x year,
= 32000[1 + 0.07]ˣ
= 32000[1.07]ˣ
Now, this cost should be more than $75000
So,
32000[1.07]ˣ > $75000

Thus, the required inequality represents the worth of the car more than $75,000 is 32000[1.07]ˣ > 75000.

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Graph with points x=3 and y =1.5

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Answer:

C

Step-by-step explanation:

We can go through the process of elimination to solve the question.

A is incorrect because they are only running for a minute and the variation between time and heart rate cannot be measured.

B is incorrect because there are too many variables to account for and they are both running for the same amount of time.

D is incorrect because there are too many variables to account for and it is not a fair test as he is running at many different speeds (you can only change the independent variable which is the time).

Hence, C is the answer. It is a fair test as he is running at different speeds and keeping everything else the same.

Answer:

No

Step-by-step explanation:

Following pemdas (parentheses exponents multiplication addition subtraction) you would do division first so 6/2 equals 3 then 14+3=17 divided by 2 equals 8.5

Answer:

14+15=29 or 14x15=210

Step-by-step explanation:

.

Answer:

[tex]\frac{63}{4}[/tex]

Step-by-step explanation:

[tex]\frac{42}{1} x \frac{3}{8}[/tex]

Cross out common factors 42 & 8;

[tex]21 * \frac{3}{4}[/tex]

Write as a single factor.

[tex]\frac{21*3}{4}[/tex]

21*3= 63

[tex]\frac{63}{4}[/tex]

Based on the radius of the circle and the value of pie, the area of the circle to the nearest tenth is 201 mi²

The area of a circle can be found by the formula:
= Pie x radius x radius

The radius of this circle is 8 mi and pie is 3.14.

The area of the circle is:
= 3.14 x  8 x 8

= 3.14 x 64

= 200.96

= 201 mi²

In conclusion, the area of the circle is 201 mi².

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Answer:

B. y=|x+6|-3                                            

Step-by-step explanation:

Answer:

Jade would need to walk 16 more dogs to earn $100 total.

Step-by-step explanation:

20 divided by 4 equals 5, so that means Jade is earnings $5 per dog. Just multiply 5 for each dog Jade walks, and you have your answer! If she already walked 4 dogs and made $20, then do 5 times 16 for your answer.

The area of the rectangle = 338 square units

The co-ordinate plane has two axes X and Y.

The points in the co-ordinate plane is given as U(4, -6) to V(-8, -11).

i.e., (x₁, y₁) = (4, -6) and (x₂, y₂) = (-8, -11)

The distance between these points are considered as a side of a rectangle.

Distance between U(4, -6) and V(-8, -11) =  [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

                                                               = [tex]\sqrt{(-8-4)^2+(-11--6)^2}[/tex]

                                                               = [tex]\sqrt{(-12)^2+(-5)^2}[/tex]

                                                               = √169

                                                               = 13 units

So the length of one side of rectangle, l = 13 units

Let 'w' be the width of the rectangle.

Also perimeter of the rectangle = 78 units

⇒  2(l +w) = 78

⇒ l +w = 39

⇒ w = 39 -l

⇒ w = 39 - 13

⇒ w = 26 units

Area of the rectangle = length x width

                                    = l x w

                                    = 13 x 26

                                    = 338 square units

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The description in the table is that for every second, there are 20 wing flaps.

It should be noted that the constant of proportionality is a term that used to show the proportional relationship between different values.

In the table, at 1 second, the number was 20 while at 2 seconds, the number of wing flaps is 40.

Therefore, the constant of proportionality will be:

= 20/1

= 20

Therefore, the description in the table is that for every second, there are 20 wing flaps.

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The expression for the volume of the pool is given by (25 d³ + 225 d² + 350 d) feet³.

We have:

We are given that the depth of the pool is = d feet

Width of the pool is 10 feet greater than five times it’s depth

Width of the pool = 10 + 5 d feet

length of the pool is 35 feet greater than five times its depth

Length of the pool = 35 + 5 d

We know that:

Volume = l b h

Volume = (d) × (10 + 5 d) × (35 + 5 d)

Volume = (10 d + 5 d²) (35 + 5 d)

Volume = 350 d + 175 d² + 50 d² + 25 d³

Volume = (25 d³ + 225 d² + 350 d) feet³

Therefore, we get that, the expression for the volume of the pool is given by (25 d³ + 225 d² + 350 d) feet³.

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Answer:

The answer is 5

Step-by-step explanation:

From every side

Answer:

a)  9 days

b)  47 days

Step-by-step explanation:

Given information:

[tex]\begin{array}{|c|r|c|r|}\cline{1-4} \sf Day & \sf Height\:{(ft) & \sf Night & \sf Height\:(ft) \\\cline{1-4} 1 & 5 & 1 & 5 - 3 = 2\\\cline{1-4} 2 & 2 + 5 = 7 & 2 & 7 - 3 = 4 \\\cline{1-4} 3 & 4 + 5 = 9 & 3 & 9 - 3 = 6 \\\cline{1-4} 4 & 6 + 5 = 11 & 4 & 11 - 3 = 8 \\\cline{1-4} 5 & 8 + 5 = 13 & 5 & 13 - 3 = 10 \\\cline{1-4} 6 & 10 + 5 = 15 & 6 & 15-3=12\\\cline{1-4} 7 & 12 + 5 = 17 & 7 & 17 - 3 = 14 \\\cline{1-4} 8 & 14 + 5 = 19 & 8 & 19-3=16\\\cline{1-4} 9 & 16 + 5 = 21 &&\\\cline{1-4}\end{array}[/tex]

On the first day the worm climbs 5 ft, but slips back 3 ft during the first night.

On the second day the worm climbs a further 5 ft, so is now at 7 ft, but slips back 3 ft during the second night.  Therefore, it starts the third day at a height of 4 ft.

The progression continues this way so that the worm starts the 9th day at a height of 16 ft. As it climbs 5 feet during the day, it will reach the height of 20 ft during the 9th day, and so will climb out of the ravine before it sleeps for the night.

Therefore, it will take 9 days for the worm to crawl up a 20 ft ravine.

This can be modeled as an arithmetic sequence:

[tex]y=a+(x-1)d[/tex]

where:

Therefore:

[tex]\implies y=5+(x-1)2[/tex]

[tex]\implies y=5+2x-2[/tex]

[tex]\implies y=3+2x[/tex]

To calculate how long it will take the worm to crawl up the ravine if it is 97 ft high, substitute y = 97 into the equation and solve for x:

[tex]\implies 3+2x=97[/tex]

[tex]\implies 3+2x-3=97-3[/tex]

[tex]\implies2x=94[/tex]

[tex]\implies \dfrac{2x}{2}=\dfrac{94}{2}[/tex]

[tex]\implies x=47[/tex]

Therefore, it will take 47 days for the worm to crawl up a 97 ft ravine.

Answer:

it is C because If you subtract 48 from 42 and then you ad 1 you get 7.5