pls help

Does this graph
show a linear,
quadratic, or
exponential
function?

the investment after 3 years will be worth $73.21

Amount invested = Principal

P = $55

n = number of time scompounded = annually

n = 1

rate = r = 10% = 0.1

FV = future value after 3 years

Using compound interest formula:

substituting the values in the formula:

Hence, the investment after 3 years will be worth $73.21

Explanations;

Let the number of pots be "x"

Let the number of buckets be "y"

Since we have 192 items, hence;

x + y = 192 ............................... 1

If Pitts bought pots for 5 dollars each and joe bought buckets for 7dollars each and spent 140 dollars, this can be expressed as:

5x + 7y = 140 ............................ 2

Solve the equations simultaneously to get the value of x and y:

x + y = 192 ............................... 1 * 7

5x + 7y = 140 ............................ 2 * 1

_________________________________________________

7x + 7y = 1344

5x + 7y = 140

Subtract

7x - 5x = 1344 - 140

2x = 1204

x = 1204/2

x = 602

This shows that 602 pots were bought.

Substitute x = 602 into the equation 1 to get y:

602 + y = 192

y = 192 - 602

y = -410

Since the y value cannot be negative, we can say that 602 pots were bought but the solution to the system of equation is (602, -410)

SOLUTION:

Case: Equations

Method:

The table:

Plotting the points

Studying the points, could either be quadratic or exponential.

We will proceed to test the points but because the increase of the y values as x increases from left to right is not a fine pattern, it will most likely not be exponential.

Next, we test a quadratic model on the graph

Final answer:

Quadratic function

To be linear, you'd need a fixed increase in the y-values for a constant increase in the x-values.  As x increases by 1 in each new point, your y-values increase by 1, 3, 5, and 7 respectively.  That is not the same increase each time.  This is not linear.

To be exponential, you need a fixed percent increase in the y-values between the points.  From (-2,-16) to (-1,-15), your increase is 1/16 or 6.25%.  From (-1,-15) to (0,-12), your increase is 3/15 or 20%.  That is not a constant percent increase.

The only option left is quadratic.  

To find the function, start with c = -12, based on the point (0,-12).

This gives you f(x) = ax^2 + bx -12

Next plug in (2,0) into f(x):  0 = 4a + 2b - 12

And plug in (1,-7) into f(x):  -7 = a + b -12

You now have two equations with two unknowns.

Solve equation 2 for a:  
         5-b = a

Substitute that into equation 1

        0 = 4(5-b) + 2b - 12

        0 = 20 -4b + 2b - 12

        -8 = -2b

        4 = b

Substitute that b-value into 5-b=a

        5 - 4 = a

        1 = a

You have your three values and have your function:

        f(x) = 1x^2 + 4x - 12    or    f(x) = x^2 + 4x - 12

You can confirm that the other points also fit with this function.

Given:

Required:

To find the range of the function (uv)(x).

Explanation:

We know that

The horizontal asymptote of this function is at y=3.

So, the range of this function is from

Final Answer:

The range of (uv)(x) is

SOLUTION:

Step 1:

In this question, we are meant to find the x-intercept and y-intercept of the graph of :

First, we are meant to graph it

Second, we are meant to find:

a) x-intercept

b) y - intercept

Step 2:

The graph of :

is as follows:

Step 3:

Given the equation:

Next, given the equation:

The solution to the indicated operation will be 9 and 2/3.

We have to find the sum of 2 and 1/6 and 7 and 3/6.

We can write the mixed fractions as:-

2 and 1/6 = 13/6

7 and 3/6 = 45/6

Adding the improper fractions, we get,

(13+45)/6 = 58/6 = 29/3

We can this improper fraction write it as :-

9 and 2/3

Mixed fraction

It is a form of a fraction which is defined as the ones having a fraction and a whole number.

2 and (1/7), where 2 is a whole number and 1/7 is a fraction.

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QUESTION

Find the scale factor that was used to change (o) to the scale image (s)

[o]10 [s] 4

solution

To find the scale factor, you will simply use the formula:

Scale factor = scaled image / original

Scale factor = 4/10 = 0.4

Answer:

Find the scale factor that was used to change the Original (O) to the Scaled Image (S).o'10"S

The basic formula that is used for calculating the scale factor is, Scale factor = Dimension of the new shape ÷ Dimension of the original shape. In case, if the original figure is scaled up, the formula is written as, Scale factor = Larger figure dimensions ÷ Smaller figure dimensions.

Step-by-step explanation:

Answers:

20hr=100$

50hr=2500$

Step-by-step explanation:

Answer

T' = (5, -1)

I' = (5, -3)

E' = (1, -1)

Explanation

Given the below triangle

T = ( -5, -1)

I = (-5, -3)

E = (-1, -1)

When reflected over y -axis, the x - cordinate is negated while the y - coordinate remains unchanged

Mathematically,

(x , y ) ------------------------ (-x , y)

T = ( -5, 1)

T' = [-(-5) , -1)]

T' = (5, -1)

I = (-5, -3)

I' = [-(-5) , -3)

I' = (5, -3)

E = (-1, -1)

E' = [-(-1), -1)]

E' = (1, -1)

Therefore, the reflected triangle over y - axis has the following points

T' = (5, -1)

I' = (5, -3)

E' = (1, -1)

a) The cost of 1 cup coffee will be $2

b) The cost of 1 muffin will be $1.67

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The cost of a cup of coffee is $0.75 more than a donut.

Maya buys 12 donuts and 2 cups of coffee which costs $19.

Now,

Let the cost of coffee = x

And, The cost of donut = y

The cost of muffins = z

Since, The cost of a cup of coffee is $0.75 more than a donut.

So, we can formulate;

⇒ x = y + 0.75    .... (i)

And, Maya buys 12 donuts and 2 cups of coffee which costs $19.

So, We can formulate;

⇒ 12y + 2x = $19

Substitute the value of first equation in above equation we get;

⇒ 12y + 2x = $19

⇒ 12y + 2 (y + 0.75 ) = $19

⇒ 12y + 2y + 1.5 = $19

⇒ 14y + 1.5 = $19

⇒ 14y = $19 - 1.5

⇒ 14y = 17.5

⇒ y = 17.5 / 14

⇒ y = 1.25

Hence,

⇒ x = y + 0.75

⇒ x = 1.25 + 0.75

⇒ x = 2

Thus, The cost of 1 cup of coffee = $2

Since, Angelo buys 6 donuts and 2 muffins which costs $12.50 total.

So, we can formulate;

6z + 2y = $12.50

Substitute y = 1.25 in above equation, we get;

6z + 2 × 1.25 = $12.50

6z + 2.50 = 12.50

6z = 12.50 - 2.50

6z = 10.00

z = 10.00 / 6

z  = 1.67

Thus, The cost of 1 muffin will be $1.67.

Therefore,

a) The cost of 1 cup coffee will be $2

b) The cost of 1 muffin will be $1.67

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Solution.

Given that the fabric sample is in a shape of a circle

The answer is 221.558 ft^2

1. Crystal can open a new credit card account.

2. If Crystal opens a credit card account, she should keep track of her spending and pay monthly bills on time.

Since Crystal has paid off her debts from the car loan, moved to her parent's home, and enrolled in community college, the chances of her getting into debt are quite low, so she can get a credit card to take care of her expenses as long as she works full time and keeps track of her monthly bills.

If Crystal opens a credit card account, she should keep a spending track and pay her monthly bills on time. She should work full-time and make sure that she pays it off.

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Answer:

wait do you need all the answers to it

12°C above zero -----> means

0°C+12°C=12°C

answer is

If a die is rolled 60 times, then it will land on number three 8 times.

When a die was rolled 60 times.

The die landed on one 11 times, two on 9 times, on four 12 times, on five 12 times, and on six 8 times.

Now, we know a die has six sides with numbers 1,2,3,4,5, and 6 marked on it.

Let x be the number of times the die landed on 3.

The total number of times the die rolled = the sum of the number of times each number landed when rolled.

number times 1 landed + number times 2 landed + number times 3 landed + number times 4 landed + number times 5 landed + number times 6 landed = 60

11 + 9 + x + 12 + 12 + 8 = 60

52 + x = 60

Subtracting 52 from each side of the equation,

52 + x - 52 = 60 - 52

x = 8

Hence, the number of times that three rolled is 8.

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The proportion of flour, water, sugar and butter required in the batter are 21, 9, 6 and 3 cups respectively

In mathematics, a ratio shows how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six. Similarly, the ratio of lemons to oranges is 6:8 and the ratio of oranges to the total amount of fruit is 8:14.

In this given question, we can find the value of each ingredient;

The cups of flour required is

[tex]7:3:2:1 = 7 + 3 + 2 + 1 = 13\\\frac{7}{13} * 39 = 21 cups[/tex]

The cups of water required is

[tex]\frac{3}{13}*39 = 9 cups[/tex]

The cups of sugar required is

[tex]\frac{2}{13}* 39 = 6 cups\\[/tex]

The cups of butter required is

[tex]\frac{1}{13}*39 = 3 cups[/tex]

The number of cups of flour, water, sugar and butter required are 21, 9, 6 and 3 cups respectively.

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The equation of line passing through the point (-2 , 11) and (1, -4) will be;

⇒ y = - 5x + 1

What is Equation of line?

The equation of line in slope - intercept form is defined as;

⇒ y = mx + b

Where, m is slope

And, b is y - intercept.

Given that;

Two points on the line are (-2 , 11) and (1, -4).

Now, Equation of line is calculated as;

Slope of the line (m) = (- 4 - 11) / (1 - (-2))

                               = - 15/ 3

                               = - 5

The equation of line is;

⇒ y - y₁ = m (x - x₁)

Substitute all the values we get;

⇒ y - 11 = - 5 (x - (-2))

⇒ y - 11 = - 5 (x + 2)

⇒ y - 11 = -5x - 10

⇒ y = - 5x - 10 + 11

⇒ y = - 5x + 1

Thus, The equation of line passing through the point (-2 , 11) and (1, -4) will be;

⇒ y = - 5x + 1

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Given:-

water level rises 11 centimeters every 6 minutes.

To find:-

The y value at the point (18,y).

Considor the time as x axis and the water level as y axis. so we get an graph as,

Now to find the value at the point (18,y). we extend the graph,

So the value of y is 33.

This is our required answer.

The equation of line is D. y = 3x - 9

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. The m is a common symbol for slope.

The equation of a straight line is given by y=mx+c where m is the slope, c is the intercept, and x and y are variables.

Formula to be used :

[tex]m=\frac{y_{1}-y_{2} }{x_{1} -x_{2} }[/tex] where( y1,x1) and (y2 ,x2) are the coordinates of the points passing through the line.

Calculating Slope, [tex]m=\frac{3-(-3)}{4-2} =\frac{6}{2} =3[/tex]

Now, writing the equation of line is

[tex]y -y_{1} =m(x-x_{1} )\\y -3 =3(x-4)\\y-3 =3x - 12\\y =3x -12+3\\y =3x -9[/tex]

Thus, the slope-intercept form of the equation is y =3x -9.

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Answer:

A line segment AE is part of a line that goes from A to E, so we can make a line m such that it contains line segment AE as follows

Line segment AE is the red part of the line that goes from A to E.

Let n be the integer. Then, we can write the following equation

which is equal to

We can solve this quadratic function by applying the quadratic formula:

where in our case a=1, b=1 and c= -90. By substituting these values into the last formula, we get

then, we have

Then, the first solution is

and the second solution is

Then, we have the following solutions:

- Negative integer: n= - 10

- Positive integer: n=9

The only force is free fall. Mass is not relevant and there is no air resistance

From the question,

Let H be the height of the Cliff

Let Y be the distance of the geometry book from the base of the cliff.

Note that the angle of depression is alternate to the angle of elevation'

Let x be the number of hundredths in 5/10. Then 100 times x gives 5/10.

Solve for x.

So, there are 0.005 hundredths in 5/10.

We have a initial population P(0) of 3800.

We know that the population is decreasing by 1.4% each year, so the population at year 1 (2009) we will have a population of:

We can generalize this for P(n), where n is the number of years from 2008.

From 2008 to 2013 we have 2013-2008=5 years, so for the year 2013, the value of n is n=5.

Then, the population for 2013 will be P(5) and can be calculated as:

Answer: the predicted population for the year 2013 is 3541.

Answer:

C

Step-by-step explanation:

Answer:

are made of cells

Step-by-step explanation:

The five number summary is:

Minimum = 3

First quartile(Q1) =3

Median =7

Third quartile(Q3) = 22

Maximum = 25

Given data, 6, 5, 3, 3, 25, 22, 3, 23, 7, 3, 20, 19, 23, 18, 5.

 we have  to arrange in ascending order ,

3, 3, 3, 3, 5, 5,6, 7, 18, 19, 20, 22, 23, 23, 25

Minimum value = 3

Maximum value = 25

since , number of data = 15

So , Median = middle term = 7

Median of first half = First quartile

here first half = { 3, 3, 3, 3, 5, 5, 6}

median of first half terms = 3 (middle term)

Q1 = 3

Third quartile = Median of second half terms

( 18, 19, 20, 22, 23, 23, 25)

median of second half  terms = 22

Q3 = 22

Hence, the five-number summary for the given data set :

min = 3, Q1 =3,  median =7 , Q3 = 22, max = 25 .

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The probabilities in this problem are given as follows:

a) False positive: 0.0321 = 3.21%.

b) Diagnosed as not having diabetes: 0.8872 = 88.72%.

c) Actually has diabetes, if diagnosed as not having: 0.0019 = 0.19%.

Conditional probability is the probability of one event happening, considering a previous event. The formula is given as follows:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which the parameters are described as follows:

For item a, we have that:

Hence the probability of a false positive is given as follows:

p = 0.9177 x 0.035 = 0.0321 = 3.21%.

For item b, the percentage of people who is not diagnosed as having diabetes is divided as:

Hence the probability is:

P(A) = 0.965 x 0.9177 + 0.02 x 0.0823 = 0.8872 = 88.72%.

For item c, we find the conditional probability, as follows:

[tex]P(A \cap B) = 0.02 \times 0.0823 = 0.001646[/tex]

Then:

P(B|A) = 0.001646/0.8872 = 0.0019 = 0.19%.

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