Write the system of equations associated with the given augmented matrix. Do not solve

Answer:

Step-by-step explanation:

We have the number:

If a number is added to the numerator and twice as much is added to the denominator and the result is 3/5, we can create the following equation:

Solve for x, using cross multiplication:

Given the figure of the functions f(x) and g(x)

The graph of the function is the shown lines

The equation of f(x):

As shown the line of f(x) passes through the points: (-2, 0) and (0, -1)

The slope of the line will be:

The y-intercept = -1

so, the equation of f(x) =

The equation of g(x):

As shown the line of g(x) passes through the points: (-2, 0) and (0, 1)

The slope of the line will be:

The y-intercept = 1

So, the equation of g(x) will be:

Identify the reflection that transforms the graph of f(x) to the graph of g(x).

As shown, the functions are symmetric around the x-axis

And as we can see for the same value of x: g(x) = -f(x)

So, the type of transformation is: Reflection over the x-axis

ANSWER:

STEP-BY-STEP EXPLANATION:

We have to calculate the square root of 18, to locate it on the graph, like this:

Explanation:

The term "binding price floor" means "a price that is above equilibrium".

If the floor is at equilibrium or lower, then buyers and sellers will just go for the equilibrium price (as they naturally would have done anyway) and there's no need for the floor. In such cases, the floor is considered non-binding.

As you pointed out in the table, the equilibrium price is $3 where quantity supplied equals quantity demanded. A binding floor price would be $4 since it's above equilibrium.

we know that

If two angles are supplementary, then their sum is equal to 180 degrees

so

In this problem

x+4x=180

solve for x

5x=180

x=36

therefore

the answer is the option A

Part 2

Given that

The length of the rectangular field is 0.35 km and the width is 0.2 km. And we have to find the area of this field.

Explanation -

The formula for the area of the rectangle is

On substituting the values we have

Since the conversions are given as

So the required answer in sq meters will be

The probability of getting a red 7 would be; 1/26

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

Given that the total number of cards is 52.

WE are asked to find the he probability of getting a red 7

Since there are 2 red 7 cards in the deck of cards.

So, the number of favourable outcomes would be 2.

n (E) = 2

The probability

P(E) = n (E) /n (S)

Therefore, the probability of getting a red 7 will be;

P(E) = n (E) /n (S)

P(E) = 2/52

P(E) = 1/26

Hence, The probability of getting a red 7 would be; 1/26

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For the first place, we have 9 different options from the athletes, then for the second place, we would only have 8 different options, therefore, there are 9x8=72 ways they can finish first or second

Answer:

3, 6, 10, 15, 21, 28, 36.​

Step-by-step explanation:

3  (+3),

6  (+4),

10  (+5),

15  (+6),

21  (+7),

28  (+8),

36

Answer:

If my theory is right the next 3 numbers are 21,28,36

Step-by-step explanation:

Looking at the beginning you see that 3 goes to 6 which is a hop of 3

Then next is 6 to 10 which is a hop of 4

Then next is 10 to 15 which is a hop of 5

So I think it’s going in a chronological number order

So I say the next hops will be 6,7,8

The length of an arc is given by:

where r is the radius and θ is the measure of the angle in radians.

To find the radius:

radius in circle 1 = 1 (unit circle)

radius in circle 3 = 2 x 1 = 2.

Hence:

ANSWER

the length of the arc between points I and J is 4

In one hour, the prices of the two stocks will be the same.

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ANSWER

T = 4x + 25;

T = $37

EXPLANATION

Let the number of special exhibits to be visited be x.

The cost of the musuem entrance ticket is $25 and each special exhibit costs an additional $4.

This means that the cost of cisiting x additional exhibits is:

4 * x = $4x

Therefore, the total cost to enter the musuem and visit any number of special exhibits is:

T = 4x + 25

That is the expression that represents the total cost.

If a person wants to visit three exhibits, it means that:

x = 3

Therefore, the total cost, T, is:

T = 4(3) + 25

T = 12 + 25

T = $37

That is the total cost to enter and visit three exhibits.

ANSWER

EXPLANATION

Let the length of the rectangle be L.

Let the width of the rectangle be w.

The length of the rectangle is 3 more than twice the width.

This means that:

L = 3 + (2 * w)

L = 2w + 3

The perimeter of a rectangle is given as:

P = 2w + 2L

The perimeter of the rectangle is 96 inches. This means that:

96 = 2L + 2w

Recall that: L = 2w + 3

=> 96 = 2(w) + 2(2w + 3)

=> 2(w) + 2(2w + 3) = 96

The graph given is a linear graph,

so that means that the cost of cheese is linearly related to the weight of cheese bought.

The increase in the cost of cheese increase for each ounce Milan buys is, therefore, the slope of the graph;

to find the slope of the graph, we use any two points on the line; i'll be using (4,96) and (2,48)

This means that the cost of cheese increases by 24 cents for each ounce Milan buys.

Answer

• d) 0.01 m²

• e) 12.25cm²

Explanation

The area of a square (A) is given by:

where s represents the side length.

• d) ,s = 0.1 ,m

Replacing the data we get:

Simplifying:

• e) ,s = 3.5cm

Replacing the data we get:

When having an ordered pair, we say they are in direct variation if the quotient:

is constant. For case 1 we have:

we can solve for "x" by multiplying by "x" on both sides:

Now we multiply by 32/80 on both sides:

Solving the operations we get:

For case 2 we have:

Now we solve for "y" by multiplying by 20 on both sides:

Solving the operations:

Answer:

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

Let the side of the cube be a.

Then its surface area is:

Find the side of the cube:

Find the volume of the cube:

Answer:

y = 6

Step-by-step explanation:

y= [tex]\frac{1}{x}[/tex]

3 = [tex]\frac{1}{4}[/tex]k  Solve for k by multiplying both sides by 4

12 = k

y = [tex]\frac{1}{2}[/tex](12)

y = [tex]\frac{12}{2}[/tex]

y= 6

77°F is equivalent to 45°C as per the given equation.

The correct formula for conversion is,°F = (°C × 9/5) + 32, and 77°F is equivalent to 25°C

This is a problem with the temperature conversion. We can solve this problem by following a few steps.

F = C +32 as per the question and the temperature is given as 77°. We have to convert this temperature to degrees Celsius. We can write C as (F-32).

Hence the  formula for C can be written as C = F - 32

Now we can find convert the temperature,

C = F - 32  

Or, C = 77 - 32    [ subtracting 32 from both sides ]

Or, C = 45

Here we can conclude that 77°F is equivalent to 45°C as per the question.

The correct formula for conversion is,

°F = (°C × 9/5) + 32

Or, 77 = (C × 9/5) + 32

Or, (C × 9/5) = 77 - 32               [ subtracting 32 from both sides ]

Or, (C × 9/5) = 45                      [ multiplying both side with 5/9 ]

Or, C = (45×5) / 9 = 25

According to the correct conversion equation, 77°F is equivalent to 25°C

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Standard equation of circle:

comparing the above equation with the options given:

Current model is $56,000

New model is 13.8% more expensive

13.8% of 56,000 = 56000*13.8/100 = 772800/100 = 7728

Nex model price = 56000+7728 = 63728

Answers:

The price increase in dollars is $7,728

The price of the next model is $63,728

Start by making the mixed numbers into fractions using that:

According to this:

To find the rate we divide the distance over the time

The rate idicates that joey drives 66 miles in one hour.

Three hundred fifty-one thousand five hundred twenty-seven and ninety-four thousandths

The given function for the sales of [tex]S(t) = 7 - 6 \cdot \sqrt[3]{t} [/tex], gives the tax rate that maximizes government revenue as t = 343/512

The tax rate is the percentage of an amount that is paid to the government as tax.

The given function is presented as follows;

[tex]S(t) = 7 - 6 \cdot \sqrt[3]{t} [/tex]

Where;

t = The tax rate on imported shoes

S = The total sales

Taking the total sales as contributing to the government revenue, R(t), we have;

Revenue = R(t)

Which gives;

[tex]R(t) = t \times (7 - 6 \cdot {t}^{ \frac{1}{3} }) [/tex]

At the maximum total sales, we have;

[tex] \frac{dR(t)}{dt} = \frac{d t \times\left(7 - 6 \cdot {t}^{ \frac{1}{3} } \right) }{dt} = 0 [/tex]

[tex]\frac{d t \times\left(7 - 6 \cdot {t}^{ \frac{1}{3} } \right) }{dt} = 7- 8 \cdot \sqrt[3]{t} = 0[/tex]

Which gives;

At maximum revenue, t = (7/8)³

t ≈ 0.669921875

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Answer:

-96a + 84b + 32x + 24y

Step-by-step explanation:

if you simplify an answer then it is equivilent to the beggining equation

hope this helped:)

Area of the circle is 28.3 in^2

Here, we want to find the area of the circle

Mathematically, the area is;

Teh ratio of boys to girls in JAnice's classroom is 3:5

Total number of students 32

Let the ratio constant is K

So,

The equation will be

3K + 5K=32

8K=32

K=32/8

K=4

So,

the boys will be

4 + 4 + 4 =3K =12

The number of girls will be :

4 + 4 + 4 + 4 + 4 = 5K =20

Answer:

the answer is -5z-4

Step-by-step explanation:

you just combined the like terms