Write a system of linear equations for the graph below

Answer:

2/7

Step-by-step explanation:

when you divide a fraction by a fraction, flip the second fraction. 1/3 x 6/7 is 6/21, then you reduce it. divide 6 by 3 and 21 by 3, =2/7

Answer:

0.28571428571

Step-by-step explanation:

This is the calculated answer.

But after a lot of. technical,work the answer,ends up be 2/7

Given:

A(1,-1), B(5,-3), C(7,1), and D(3,3)

Area of ABCD = 20.25 square units

Let's determine if the area is correct.

Since ABCD is a square, all side lengths are equal.

Now, let's find the length of one side.

Apply the distance formula:

Let's find the length of AB.

Where:

(x1, y1) ==> A(1, -1)

(x2, y2) ==> B(5, -3)

Thus, we have:

The length of one side of the square is √20.

Now, to find the area of a square, we have:

Therefore, the area of the square is 20 square units.

This means the area is not 20.25 square units.

Therefore, the

Answer: 39% chance

Step-by-step explanation: you look it ip on goooogle

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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The amount that should be deposited monthly is $286.66.

The monthly deposit is the periodic payment into an investment account that earns interest at a compound rate.

The monthly deposit can be determined using an online finance calculator.

N (# of periods) = 60 months (5 years x 12)

I/Y (Interest per year) = 6%

PV (Present Value) = $0

FV (Future Value) = $20,000

Results:

Monthly Deposit = $286.66

Sum of all periodic deposits = $17,199.36

Total Interest = $2,800.64

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Answer:

35ways

Step-by-step explanation:

Given the following

Total employees = 7employees

Number of tasks to be assigned = 4task

The number of ways this can be done is expressed as 7C4

7C4 = 7!/(7-4)!4!

7C4 = 7!/3!4!

7C4 = 7*6*5*4!/6*4!

7C4 = 35ways

Hence this can be done in 35ways

Answer:25.13

Step-by-step explanation:

use the formulas

C=2πr

d=2r

Answer:

x=-7,1

Step-by-step explanation:

Answer: x=-7,1

Step-by-step explanation:

Answer:

There are a total of 20 presents, and 3 of them contain gems. Therefore, there are 20 - 3 = 17 presents that do not contain gems.

The probability of randomly selecting a present that does not contain a gem is 17/20 = 0.85 or 85%.

hope it helps you...

The number of breakfast Greg can eat from a box of cereal if he eats 1 1/2 servings for breakfast everyday is 8 breakfast.

Number of breakfast Greg can eat in a regular-sized box = A regular-sized box of cereal / servings of breakfast eaten everyday

= 12 ÷ 1 1/2

= 12 ÷ 3/2

= 12 × 2/3

= 24/3

= 8 breakfast

Cost of regular-sized box of cereal = $4.29.

Cost of one breakfast from a regular-sized box of cereal = Cost of regular-sized box of cereal ÷ Number of breakfast Greg can eat in a box

= $4.29 / 8

= 0.53625

Approximately,

$0.54 per breakfast

Number of breakfast Greg can eat in a family-sized box = A family-sized box of cereal / servings of breakfast eaten everyday

= 18 servings / 1 1/2

= 18 ÷ 3/2

= 18 × 2/3

= 36/3

= 12 servings

Therefore, the number of more servings of breakfasts Greg could eat from 1 family-sized box

= Number of breakfast Greg can eat in a family-sized box - Number of breakfast Greg can eat in a regular-sized box

= 12 servings - 8 servings

= 4 servings

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Answer:

= 4 servings

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

(10x + 9) + 34 + 97 = 180

10x +140 = 180

10x = 40

x = 4

The value of x in the given angles of the traingle CAB for angle m∠A is determined as 4.

The sum of angles in a triangle can be used to determine the value of x in the given angles above.

m∠A + m∠B + m∠C  = 180 (sum of angles in a triangle)

10x + 9 + 34 + 97 = 180

10x + 140 = 180

10x = 40

divide both sides by 10;

x = 40/10

x = 4

Thus, the value of x in the given angles of the traingle CAB for angle m∠A is determined as 4.

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Answer:

45 degrees

Step-by-step explanation:

DBC: 180 - 135

DBC: 45 degrees

Hope that helps!

Answer:

solution given:

for rectangle

length [l]=18km

breadth [b]=7√3 km

for triangle

base[b1]=25-18=7km

height [h]=b=7√3km

for area :area of. (rectangle +triangle}=

l×b+1/2 b1×h=18×7√3+1/2 ×7×7√3=260.67km²

now

perimeter=sum of all sides

=18+14+25+7√3=69.12km

is your answer

Answer:

this is your answer.

check it out

The population in this case is all adults in the United States, and the sample is the 1001 adults who were surveyed by Citrix Security.

The sample was selected in such a way as to be representative of the larger population of adults in the United States.

The value of 69% is a statistic, not a parameter. A statistic is a measure that describes a characteristic of a sample, while a parameter is a measure that describes a characteristic of a population. In this case, the 69% refers to the proportion of the 1001 adults surveyed who believe that having their personal information stolen is inevitable, which is a characteristic of the sample. It does not necessarily reflect the proportion of all adults in the United States who hold this belief, which would be a parameter.

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The total surface area of solid is,

S = 220 m²

And,  The volume of the prism is, 200 m³

We have to given that;

A solid prism is shown in figure.

Since, The surface area of a prism is,

S = (2 × Base Area) + (Base perimeter × height)

Where, "S" is the surface area of the prism.

Hence, We get;

base area = 5 x 10 = 50 m²

height = 4 m

Base Perimeter = 2 (5 + 10) = 30

Hence, We get;

S = (2 x 50) + (30 x 4)

S = 100 + 120

S = 220 m²

Since, A prism is a solid shape that is bound on all its sides by plane faces. The volume of a prism is expressed as;

V = base area × height.

Now, For given figure,

Volume of the prism = base area × height

base area = 5 x 10 = 50 m²

height = 4 m

Hence, Volume = 50 × 4 m³

= 200 m³

Thus, The volume of the prism is, 200 m³

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It's a function because we don't have any repeated x coordinates. Any given x input value leads to exactly one y output value.

The domain is {-3,-2,-1,0,1} which is the set of all x inputs.

The range is {-6, -1, 0, 3, 15} which is the set of y outputs.

The ratio of EG = 36.

Let's assign variables to the lengths of the line segments:

EF = x

FG = 5x

GH = 3x

We know that EH = EF + FG + GH.

Substituting the given values, we have:

54 = x + 5x + 3x

Combining like terms, we get:

54 = 9x

To isolate x, we divide both sides of the equation by 9:

54/9 = x

Simplifying, we find:

6 = x

EF = 6, FG = 5(6) = 30, and GH = 3(6) = 18.

Since EG is the sum of EF and FG, we can calculate it as follows:

EG = EF + FG = 6 + 30

= 36

EG = 36.

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Answer:

the answer is $26.38

Step-by-step explanation:

I hope this helps!

Answer:

A

Step-by-step explanation:

Answer:

Each day, the number of milliliters of water in the flask decreases by 30.

Step-by-step explanation:

The points that will lie on the line will be (0, 0) , (1, - 25) , (- 1, 25).

The general equation of a straight line is : y = mx + c.

[m] is called slope and it tells the unit rate of change in [y] with respect to [x].

[c] is called the [y] - intercept.

We have some points that lie on a line that passes through the origin with a slope of −25.

The equation of a straight line that passes through the origin and has slope of -25 will be -

y = - 25x

The points that will lie on the line will be -

(0, 0) , (1, - 25) , (- 1, 25)

Therefore, the points that will lie on the line will be (0, 0) , (1, - 25) , (- 1, 25).

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keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(y=\stackrel{\stackrel{m}{\downarrow }}{1}x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so a perpendicular line to that one will have

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{1\implies \cfrac{1}{\underline{1}}} ~\hfill \stackrel{reciprocal}{\cfrac{\underline{1}}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{\underline{1}}{1}\implies -1}}\)

so we're really looking for the equation of a line whose slope is -1 and that it passes through (3 , 2)

\((\stackrel{x_1}{3}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ - 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{- 1}(x-\stackrel{x_1}{3}) \\\\\\ y-2=-x+3\implies {\LARGE \begin{array}{llll} y=-x+5 \end{array}}\)

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.

Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.

How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.

Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.

The weight per carton is 55 pounds.

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To find the distance above the ground at which the tack is, we need to calculate the vertical displacement of the front wheel when the tack was picked up.

First, let's determine the circumference of the front wheel. The circumference of a circle is given by the formula C = πd, where C is the circumference and d is the diameter. Given that the diameter is 26 inches, we can calculate the circumference:

C = π × 26

C ≈ 81.64 inches

This means that for every complete revolution of the wheel, Devon travels a distance of approximately 81.64 inches.

Next, we need to determine how many complete revolutions the front wheel made as Devon rolled another 100 feet (1200 inches). Since the circumference of the wheel is 81.64 inches, we can divide 1200 inches by 81.64 inches to find the number of revolutions:

1200 / 81.64 ≈ 14.68 revolutions

Now, we know that the tack was picked up after one full revolution. Therefore, out of the 14.68 revolutions, 13 complete revolutions have occurred. The tack is located at the point where the 14th revolution starts.

Since each revolution covers a distance equal to the circumference of the wheel, the vertical displacement of the tack is the height of the wheel, which is the radius of the wheel. The radius is half the diameter, so in this case, it is 26 / 2 = 13 inches.

Therefore, the tack is located 13 inches above the ground.

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To find the radius of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the volume is 824 cubic inches, we can rearrange the formula to solve for the radius:

824 = πr²h

Since the height is not given, we cannot find the exact radius. However, we can still determine the relationship between the height and radius if the volume remains the same.

b. If the height of the cylinder is changed, but the volume stays the same, the radius will change inversely proportional to the height. This means that as the height increases, the radius will decrease, and vice versa. This relationship ensures that the volume remains constant.

Therefore, we cannot determine the exact radius without knowing the height, but we can conclude that the radius and height have an inverse relationship.

Considering the definition of parallel line, the equation of line l is y= -5x -11.

A linear equation o line can be expressed in the form y = mx + b

where

Parallel lines are two lines that are always at the same distance from each other.

Two lines are parallel if they have the same slope and different y-intercepts. This is, they have the same value of m and different value of b.

In this case, the line is y−3=−5(x−2) Expressed in the form y = mx + b, you get:

y−3=−5x−2×(-5)

y−3=−5x+ 10

y=−5x+ 10 + 3

y=  -5x +13

where:

Two lines are parallel if they have the same slope. So, the parallel line has a slope of -5 and has a form of: y= -5x + b

The line passes through the point (3, -26). Replacing in the expression for parallel line:

-26= -5× 3 + b

-26= -15 + b

-26 + 15 = b

-11 = b

Finally, the equation of parallel line is y= -5x -11.

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Answer:

c

Step-by-step explanation:

Answer:

-0.5

Step-by-step explanation:

The given function y = 4(3/8)^x represents exponential decay.

As x increases, the value of y decreases at an increasingly rapid rate, reflecting the decay behavior of the function.

The given function is y = 4(3/8)^x. To determine if the function represents growth, decay, or neither, we need to examine the base of the exponent, which is (3/8).

When the base of an exponential function is between 0 and 1, such as (3/8) in this case, it represents exponential decay. This is because as the exponent (x) increases, the value of the function decreases.

In the given function, the coefficient 4 multiplied by the decaying exponential term (3/8)^x indicates that the function starts with an initial value of 4 and then exponentially decreases. The term (3/8)^x represents the decay factor, where x determines the extent of decay.

Therefore, we can conclude that the given function, y = 4(3/8)^x, represents exponential decay. As x increases, the value of y decreases at an increasingly rapid rate, reflecting the decay behavior of the function.

In summary, the given function y = 4(3/8)^x represents exponential decay.

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No, the trapezoids are not similar because their corresponding angles do not have the same measures.

The given trapezoids ABCD and EFGH can be analyzed to determine if they are similar. Similarity in geometric figures implies that their corresponding angles are congruent, and their corresponding sides are proportional.

Let's examine the angles of the trapezoids:

In trapezoid ABCD:

Angle A = 137 degrees

Angle B = 90 degrees

Angle C = 90 degrees

Angle D = 43 degrees

In trapezoid EFGH:

Angle E = 136 degrees

Angle F = 90 degrees

Angle G = 90 degrees

Angle H = 44 degrees

By comparing the angles, we can observe that angles B and F are both right angles (90 degrees) in both trapezoids. Additionally, angles C and G are also right angles (90 degrees) in both trapezoids.

However, angles A and E, as well as angles D and H, do not have the same measures. Angle A measures 137 degrees in trapezoid ABCD, while angle E measures 136 degrees in trapezoid EFGH. Similarly, angle D measures 43 degrees in trapezoid ABCD, while angle H measures 44 degrees in trapezoid EFGH.

Since the corresponding angles in the two trapezoids do not have the same measures, we can conclude that trapezoids ABCD and EFGH are not similar.

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