Items 2. Find the coordinates of thevertices of each image.

It looks like you're given a set

{(x, y) : y = 3x + 2}

i.e. the set of points (x, y) = (x, 3x + 2), and you're told that x is taken from the set {-2, -1, 0, 1, 2}.

When x = -2, the corresponding value of y is

y = 3•(-2) + 2 = -6 + 2 = -4

Answer:

hii

Step-by-step explanation:

3(x-2)-2x+3=-12

3 times x = 3x

3 times -2 = -6

3x-6-2x+3=-12

3x + 2x = 5x

-6 + 3 =-3

i don't know the rest I'm sorry

Given data:

The first given number is a=6.15x10^7.

The given number can be written as,

a=61,500,000

Thus, the given number can be expressed as 61,500,000.

Answer:

Step-by-step explanation:

4 pies.. cut into 6 slices each.. is 4 *6 = 24

Answer:

24 people

Step-by-step explanation:

Answer:

  4

Step-by-step explanation:

You are given a table of function values in which x increases by 2, and you want to know the factor by which f(x) increases when x increases by 1.

Let k represent the factor by which f(x) increases when x increases by 1. This means ...

  f(2) = k·f(1)

  f(3) = k·f(2) = k·(k·f(1)) = k²·f(1)

  64 = k²·4

  k² = 64/4 = 16

  k = √16 = 4

The output value increases by a factor of 4 as the input value increases by 1.

__

Additional comment

The table values would also be obtained if the factor of increase were -4. That is, f(x) = -(-4)^x would give the same table. In that case, f(x) would not be a continuous function.

The total cost of Beatrice dishwasher for the new house including tax is written as D + 0.02D.

Let

price of the dishwasher = D

Tax percentage = 2%

Amount of tax = 2% of D

= 2/100 × D

= 0.02D

Beatrice total cost for the dishwasher = price of the dishwasher + Amount of tax

= D + 0.02D

Hence, the expression which represents the total cost of Beatrice dishwasher is D + 0.02D

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Answer:

bowl of colorful marbels

Step-by-step explanation:

bowl+marbels

Answer:

x=90°

Step-by-step explanation:

As in the angle, there is a box giving us info that x has to be 90°.

But to be sure that there is no mistake we have to do the following:

So we are looking at the surroundings of angle x (which is on a straight line) we see that it is a right angle and look at the angle on the same line is a right angle too.

The equation right angle=90° helps us see that because there are two right angles on a 180° line (90°+90°+180°).

Therefore the answer is:

x=90°

Answer:c

Step-by-step explanation:

The resulting graph is a circle with center at (-3,-1) and radius 3.

The graph of the equation (x+3)²+(y+1)²=9

is a circle with center at (-3,-1) and radius 3. The equation of a circle with center (a,b) and radius r is given by the equation (x-a)² + (y-b)² = r². By comparing the given equation with the standard equation of a circle, we can easily see that the center of the circle is (-3,-1) and the radius is 3. To graph a circle, we need to first plot the center of the circle, which is (-3,-1) in this case. Next, we need to mark the radius of the circle, which is 3 units. We can do this by measuring 3 units from the center in any direction and marking the point. Since the radius of the circle is the same in all directions, we can repeat this process for other directions to get points on the circumference of the circle. We can use a compass to make this process easier. After plotting a sufficient number of points, we can draw a smooth curve passing through all the points to obtain the graph of the circle.

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The stars in order from the closest one to the farthest one are:

0.883, 0.886, 0.89, 1.25

so, the answer is A.

What is a sequence?

A sequence is an enumerated collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms).

To put the given distances in order from the closest one to the farthest one, we need to arrange them in ascending order.

That means we need to start with the smallest value and move toward the largest value.

Looking at the given distances, we see that the smallest value is 0.883, followed by 0.886, then 0.89, and finally 1.25, which is the largest value.

Putting the given distances in ascending order, we get:

0.883, 0.886, 0.89, 1.25

Therefore, the stars in order from the closest one to the farthest one are:

0.883, 0.886, 0.89, 1.25

so, the answer is A.

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Answer:

Step-by-step explanation:

H(n)=91x(-1/7) n-1

do not know

Hope it helps the answer is the 2nd one have a great day

Answer:

no

Step-by-step explanation:

tell me if its right...

Step-by-step explanation:

7/20

=0.35

35%

=35/100

=0.35

Hence, 7/20=35%

The ratio of the perimeter of the smaller to larger rectangle is 3:4

The dimension of the smaller rectangle = 3 by 9

The dimension of the larger rectangle = 5 by 11

The perimeter of a rectangle is given by the relation :

Perimeter = 2(Length + width)

Perimeter of smaller rectangle = 2(3+9) = 24 ft²

Perimeter of larger rectangle = 2(5+11) = 32 ft²

Ratio of smaller to larger rectangle

Smaller perimeter : larger perimeter

24 : 32

Reduce to simplest form

3 : 4

Hence, ratio of smaller to larger rectangle is 3:4

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The cumulative distribution function of t, the number of years to maturity for a randomly selected bond is a. 1/4, b. 3/4, c. 1/2, d. 1/3.

The probability of a randomly selected bond maturing exactly after 5 years is 1/4. The probability of a randomly selected bond maturing after more than 3 years is 3/4. The probability of a randomly selected bond maturing between 1.4 and 6 years is 1/2.

a) P(T=5) = F(5) - F(4) = 3/4 - 1/2 = 1/4

b) P(T>3) = 1 - P(T≤3) = 1 - F(3) = 1 - 1/4 = 3/4

c) P(1.4 < T < 6) = F(6) - F(1.4) = 3/4 - 1/4 = 1/2

d) P(T≤5 | T≥2) = P(2 ≤ T ≤ 5) / P(T≥2) = (F(5) - F(2)) / (1 - F(2)) = (3/4 - 1/4) / (1 - 1/4) = 1/3

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The question is -

An investment firm offers its customers municipal bonds that mature after varying numbers of years. Given that the cumulative distribution function of t, the number of years to maturity for a randomly selected bond is:

f ( x ) = ⎧  0        t < 1

           ⎪ 1 / 4     1 ≤ t < 3

           ⎪ 1 / 2     3 ≤ t < 5

           ⎨ 3 / 4    5 ≤ t < 7

           ⎩  1           t ≥ 7

Find: a) P(T = 5) b) P(T > 3) c) P(1.4 < T < 6) d) P(T ≤ 5 | T ≥ 2)

Answer:

c-60/100

Step-by-step explanation:

6x10=60

10x10=100

making 60/100

or the other way round 60÷10=6    100÷10=10

The compound interest is obtained as $91.81, rounded off to the nearest hundredth.

In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one. You will then be left with the principal amount of the loan plus compound interest. The entire compound interest is then obtained by deducting the initial principal.

The equation that results will look like this:

Compound Interest = \(P(\left(1+r\right)^{ t}-1)\)

Amount, rate of interest and time is given as $1500, 2% and 3 years respectively.

First, change r as a percent to r as a decimal.

r = R/100

r = 2/100

r = 0.02 rate per year,

Then solve the equation for compound interest.

\(\text{Compound Interest}=1500(\left(1+0.02\right)^{3}-1)\\=1500(1.061208-1)\\=15000\cdot 0.061208\\\\=91.81\)

So, the compound interest is obtained as $91.81, rounded off to the nearest hundredth.

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Answer: its 1591.81

Step-by-step explanation:

I took the test and tried with the answer on top and got it wrong.

The amount of the investment after 8 years will be, $4,357.64

Given, $500 is invested in an account earning 7% interest compounded quarterly.

We have to find the value of the invested amount after 8 years,

as, Amount = P(1 + r/100)^t

where, P is the amount of money invested, r is the rate of interest and t is the amount of time

Amount = 500(1 + 7/100)^(8×4)

Amount = 500(1.07)^32

Amount = 500×8.715

Amount = 4,357.635

So, the amount of the investment after 8 years will be, $4,357.64

Hence, the amount of the investment after 8 years will be, $4,357.64

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Answer:

Step-by-step explanation:

Given function to be graphed is,

f(x) = -0.25x + 4

Table for the graph of the given function will be,

x        -2         0         2          4           6          8

f(x)     4.5       4        3.5        3          2.5        0

Now we can plot these points on the graph to find a line.

Graph of the linear function will be as the graph attached.

Answer:

Step-by-step explanation:

I took the test

You have a system of 3 equations with 3 unknown variables.

You can start by applying the reduction or elimination method to solve the system. Let's add equation (3) and equation (2)

This will be equation (4).

Now, let's apply the same method to equation (1) and (2) but, first you need to multiply equation (2) by 2:

Add equation (1) and (5)

This will be equation (6).

Now, let's apply the elimination method again to equations (4) and (6). But, first let's multiply equation (4) by 2:

Now, let's add equations (6) and (7):

Now, you can replace this x-value into equation (6)

You know that x=-10/13, y=-2/13, now you can replace these values in any equation to find z-value:

Let's do it with equation (3)

The answer is X=-10/13, Y=-2/13 and Z=4/13

The equation of the sinusoid function is:

3 Sin πx + 2.

Let's analyze the given options to find the correct equation:

a. 3 Cos πx + 2:

This option is a cosine function with a vertical shift of 2, but it does not have the correct amplitude or period. Therefore, it is not the correct equation.

b. 3 Sin x: This option is a sine function with the correct amplitude, but it does not have the correct vertical shift or period. Therefore, it is not the correct equation.

c. 3 Sin πx + 2: This option is a sine function with the correct amplitude and vertical shift. Let's check if it has the correct period:

To determine if the period is correct, we need to calculate the x-values when the function repeats itself.

In this case, we need to find x-values such that sin(πx) = 0, since the function will reach its maximum and minimum points again at those x-values.

sin(πx) = 0 when πx = 0, π, 2π, 3π, ...

Solving for x, we have:

πx = 0 ⟹ x = 0

πx = π ⟹ x = 1

πx = 2π ⟹ x = 2

πx = 3π ⟹ x = 3

From this, we can see that the function repeats itself every integer value of x, which matches the given information.

Therefore, option (c) is the correct equation: 3 Sin πx + 2.

Option (d) 3 Cos x does not have the correct vertical shift or period, so it is not the correct equation.

Hence, the equation of the sinusoid function is:

3 Sin πx + 2.

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Computing the surplus producers receive when a $30 per unit price floor is imposed on the market is option C.$25.

To calculate the surplus producers receive, we need to find the difference between the price they receive at a given quantity and the price they would have received in the absence of the price floor.

When a price floor of $30 per unit is imposed on the market, the quantity supplied and demanded at this price are:

QX = (50 - 30)/4 = 5 units (demand)

QX = (30 - 10)/2 = 10 units (supply)

So, the surplus received by the producers is the difference between the price floor and the price they would have received in the absence of the price floor:

Surplus = 30 - (10 + 2 * 10) = 30 - 30 = $0.

However, the surplus for consumers is the difference between the price they would have paid in the absence of the price floor and the price floor:

Surplus = (50 - 4 * 5) - 30 = 25 - 30 = -$5.

So, the total surplus received by producers and consumers combined is $0 + (-$5) = -$5, which means that the price floor imposes a dead weight loss on the market.

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Answer:

\(x\approx 267\ miles\)

Step-by-step explanation:

Linear Modeling

Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

\(f(x)=mx+b\)

For the problem at hand, we must pick the adequate variables according to the data provided.

The question states the charge for renting a car is a function of the mileage. It also provides two points from which we can build our model. Let's set the following variables:

c = the charge for renting a car in dollars

x = the distance driven by the businessman in miles

Representing the ordered pair as (x,c), we have the points: (150,79) and (65,63.70). Our model will be expressed as:

\(c = mx+b\)

We must find the values of m and b with the data provided. Substituting the first point:

\(79 = 150m+b\)

Substituting the second point:

\(63.70 = 65m+b\)

Both equations form the following system:

\(\left\{\begin{matrix}150m+b=79\\ 65m+b=63.70 \end{matrix}\right.\)

Subtracting both equations:

\(150m-65m=79-63.70\)

Note the variable b was canceled out in the operation, leaving only the variable m to solve. Joining like terms:

\(85m=15.3\)

Solving:

\(m=15.3/85=0.18\)

From the first equation

\(79 = 150m+b\)

Solving for b:

\(b=79-150m=79-150(0.18) = 52.\)

The model for the problem is:

\(c=0.18x+52\)

Now we need to calculate how many miles (x) could be driven for c=$100. From the equation above, substitute c=100

\(100=0.18x+52\)

Solve for x:

\(0.18x+52=100\)

\(0.18x=100-52=48\)

\(x=48/0.18=266.67\)

Rounding to the closest integer:

\(\boxed{x\approx 267\ miles}\)

It should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

It should be noted that a graph is a diagram that is used to show the relationship that exists between the data presented or the information.

In this case, ut should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

The graph is attached below.

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