Evaluate the following expression.
1-4x (-3) +8 x (-3)

Notice that the relationship between the number of pounds of gummy candy and the number of dollars that that number of pounds costs is a function because there cannot be two prices for the same number of pounds.

Now, notice that the graph that Tommy creates does not represent a function because it fails the vertical line test at x=3.

Also, from the given table we get that (4,11) is a point of the graph.

Then the graph that Tommy creates is not correct.

Answer: No, because the graph does not represent a function and the point (4,11) is not part of the graph.

26.219 Miles in 128 minutes.

First we have to convert miles to km:

Since 1 mile = 1,609 km

26.219 x 1,609 = 42,041.561 km

Then divide the distance by the time:

42,041.561/ 128 = 192.85 km per minute

The numerical length of the line segment RT is 6.

Length:

Length is the measuring unit used to identifying the size of an object or distance from one point to the other.

Given,

There is a point on the line segment RT.

And the values of the pots are,

RT = 3x, RS = 3x - 5 and ST = 3x - 1.

Now we need to find the length of the line segment RT.

To find the line of the line segment RT,

We have to add the length of the segments,

That can be written as,

=> RT = RS + ST

Now, we have to apply the values of the point to the equation, then we get,

=> 3x = 3x - 5 + 3x - 1

=> 3x = 6x - 6

=> 6x - 3x - 6

=> 3x - 6

=> 3x = 6

=> x = 2

If the value of x is 2, then the length of the line segment RT is,

RT = 3x => 3 x 2 = 6

Therefore, the length of the line segment RT is 6.

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Let's begin by listing out the information given to us:

The height of the door frame is 6.5 feet. To convert to inches, we have:

Answer:

The equation f(x) = a(1 + r)x can also be used to compute exponential growth, where:

The function is represented by the word f(x).

The initial value of your data is represented by the a variable.

The growth rate is represented by the r variable.

Time is represented by the variable x.

To calculate the probability of event A, divide the number of outcomes favorable to A by the total number of possible outcomes.

so

Step 1

a)let

b) now, replace in the formula and simplify

.

therefore, the answer is

I hope this helps you

Answer:

2 x [tex]10^{35}[/tex]

Step-by-step explanation:

7 ÷ 3 is about 2

[tex]\frac{10^{25} }{10^{-10} }[/tex] = [tex]10^{35}[/tex]  When you are dividing powers with the same bases, you subtract the exponents

25 - -10 = 25 + 10 = 35

The last statement would be true, because you would convert 7/12 into a fraction and 15/24 into a fraction. From their fraction eyes to State you would turn them into decimals and then percentiles.

Answer:

D: They are both the same

Step-by-step explanation:

I took the test

Answer:

Given to solve,

From the rules for limits, we can see that for any polynomial, the limit of the polynomial when x approaches a point k is equal to the value of the polynomial at k.

The given function of the limit is a quadratic function, the limit of the quadratic equation when x approaches a point -1 is equal to the value of the quadratic equation at -1.

we get,

Answer is : 0

Length: L

Width: W

The area of a rectangle is:

The perimeter of a rectangle is:

Given information:

Solve L in the second equation (Perimeter):

Given :

a charity received a donation of $19.4 million

Which represents 43% of the charity funds

Let the total funds = x

So,

43% of x = 19.4 million

So,

Rounding to the nearest million ,

The answer is : total donated funds = 45 million

Solution

In 2011 The temperature in Darrtown is

The temperature increased by 3% in 2012

The temperature will be

The temperature decreased by 4.5% in 2013

The temperature will be

Therefore, the temperature in 2013 is 64 degrees Fareheint

Option B

Answer:

See image

depending on what is in the numerator of your question:

24 OR 15 SEE IMAGE!

Step-by-step explanation:

f(48) just means to use 48 in place of x in your work.

f(x) = 12 + x/4

f(48) = 12 + 48/4

Hopefully, your text/worksheet/screen is clear on which problem you are doing.



we have that

Costs that stay the same from week to week or month to month

-savings for college

-Rent

Costs that cannot be adjusted within a budget

-Car insurance

-Health care

Costs that can be adjusted within a budget

-cell phone

-gasoline

-hair cut

-Groceries

The probability of NOT choosing the 6 is 7/8.

Probability is used to calculate the likelihood that a random event would happen. The chances that the random event happens is a probability value that lies between 0 and 1. The more likely it is that the event occurs, the closer the probability value would be to 1. If it is equally likely for the event to occur or not to occur, the probability value would be 0.50.

The probability of NOT choosing the 6 = number of cards that are not 6 / total number of card

Cards that do not have a value of 6 = 1, 2, 3, 4, 5, 7, 8

Total is 7

The probability of NOT choosing the 6 = 7 / 8

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In the table says that every letter that weighs less that 1 oz. have a price of 42, in the graphic we represented that in this part:

Following the data in the table as above we got the final graphic.

And for the question:

If you have a letter that weighs 1.7 oz. it will be more than 1 oz. but less than 2 oz. so you will pay 66, as we can see in the following graphic:

we know that

the area of triangle ABC is equal to the area of two right triangles

so

triangle ABD and triangle BDC

D is a point between point A and point C

step 1

Find the length of segment AD

Applying Pythagorean Theorem in the right triangle ABD

10^2=AD^2+8^2

100=AD^2+64

AD^2=100-64

AD^2=36

AD=6

Find teh area of triangle ABD

A=AD*BD/2

A=6*8/2

A=24 units^2

step 2

Find the area of triangle BDC

A=DC*DB/2

DC=21-6=15 units

A=15*8/2

A=60 units^2

step 3

Find teh area of triangle ABC

Adds the areas

A=24+60=84 units^2

therefore

Answer:

I am assuming you are looking for the x-intercepts and y-intercepts...here they are.

x-intercepts: (-7/2,0) , (-1,0) , (4,0)

y-intercepts: (0,-5)

Hope this helps...if not, please expound your question more.

The Midline of a Sinusoid

A sinusoid is a periodic function which parent expression is:

f(x) = A. sin (wt)

Where A is the amplitude and w is the angular frequency

The sine function has a maximum value of A and a minimum value of -A.

The midline can be found as the average value of the maximum and the minimum value.

For the parent function explained above, the midline is:

Since Mx and Mn are, respectively A and -A, the midline is zero.

The graph shown in the image has a maximum of Mx=1 and a minimum of Mn=-5.

Thus, the midline is:

The midline of the graph is y=-2

We have the following:

replacing when x is 2:

The set of points that represents a dilation from the origin of triangle RST are: D. R'(0 , 8), S'(8 , 36), T'(16, 8).

In Mathematics, dilation is a type of transformation which changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

For the given coordinates of triangle RST, the dilation with a scale factor of 4 from the origin (0, 0) or center of dilation should be calculated as follows:

Point R (0, 2) → Point R' (0 × 4, 2 × 4) = Point R' (0, 8).

Point S (2, 9) → Point S' (2 × 4, 9 × 4) = Point S' (8, 36).

Point T (4, 2) → Point T' (4 × 4, 2 × 4) = Point T' (16, 8).

In conclusion, the other sets of points do not represents a dilation from the origin of triangle RST.

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As of the given condition ordered pair in the option D  R'(0 , 8), S'(8 , 36), T'(16, 8), represents the dilated coordinates of the former triangle.

Given that,
Coordinates of the triangle, R(0 , 2), S(2 , 9), and T(4 , 2).
The scale factor for the dilation = 4

The scale factor is defined as the ratio of the modified change in length to the original length.

Here,
According to the question,
The dilated coordinate is given as,
R' = (0×4 , 2×4) = (0, 8)
S' = (2×4, 9×4) = (8, 36)
T' = (4×4, 2×2) = (16, 8)

Thus, As of the given condition ordered pair in the option D  R'(0 , 8), S'(8 , 36), T'(16, 8), represents the dilated coordinates of the former triangle.

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ANSWER:

EXPLANATION:

Given:

To find:

The domain and the range

Recall that the domain of a function is the set of possible input values for which the function is defined.

To determine the domain of a function from a graph, we consider the possible x-values from left to right.

So the domain of the given function can be written as;

The range of a function is the set of possible output values.

To determine the range of a function from a graph, we consider the possible y-values from the bottom to the top.

So the range of the given function can be written as;

we use the formula

Where Cn is the final amount= co the initial amount, n the number of months and i the rate dividing between 100

transform the mixed number

now, replace

the solution is 12,862

We will assume the next table to answer this question (a linear function) (since the data in the question is not clear):

Having this information, we can find the slope using the formula for it:

If we pick up from the table the next points:

x1 = 1, y1 =6

x2 = 2, y2 = 8

Then

We can use the slope-point formula to find the y-intercept. We can use the point (3, 10). Then, we have:

We end up with the slope-intercept formula for the line. Then the y-intercept is 4. In other words, if we have x = 0, then y = 4.

Then the slope for the values represented in the proposed table is m = 2, and the y-intercept is y = 4.

Answer:

translated 8 units down and then reflected across the y-axis

A) 9 cups of berries to 12 cups of juice

Explanation

to figure out this, we need to find the original ratio and then compare

Step 1

find the ratio:

ratio cups of berries to cups of juices

hence, the rario is 3/4

Step 2

now, check the ratio of every option

a)9 cups of berries to 12 cups of juice

b) 12 cups of berries to 9 cups of juice

c) 6 cups of berries to 15 cups of juice

d) 15 cups of berries to 10 cups of juice

therefore, the option that haas the same ratio is a) 3/4

I hope this helps you

Given the situation to model the arithmetic and the geometric sequences.

Imagine you are four years old. A rich aunt wants to provide for your future. She has offered to do one of two things.

Option 1: She would give you $1000.50 a year until you are twenty-one.

This option represents the arithmetic sequence

The first term = a = 1000.50

The common difference = d = 1000.50

The general formula will be as follows:

Simplify the expression:

Option 2: She would give you $1 this year, $2 next year, and so on, doubling the amount each year until you were 21.

This option represents the geometric sequence

The first term = a = 1

The common ratio = r = 2/1 = 2

The general formula will be as follows:

Now, we will compare the options:

The first term of both options is when you are four years old that n = 1

you only received money for ten years so, n = 10

So, substitute with n = 10 into both formulas:

So, the answer will be:

For ten years, the option that gives the most money = Option 1

Answer:

(f + g)(x) = 2x³ + 3x² + x + 2

Explanation:

If f(x) = 2x³ - 5x² + x - 3 and g(x) = 8x² + 5, we can calculate (f + g)(x) as follows

(f + g)(x) = f(x) + g(x)

(f + g)(x) = (2x³ - 5x² + x - 3) + (8x² + 5)

Then, we can simplify the expression adding the like terms, so

(f + g)(x) = 2x³ - 5x² + x - 3 + 8x² + 5

(f + g)(x) = 2x³ + (-5x² + 8x²) + x + (-3 + 5)

(f + g)(x) = 2x³ + 3x² + x + 2

Therefore, the answer is:

(f + g)(x) = 2x³ + 3x² + x + 2

The probability that 2 girls and 2 boys are selected is given by:

Therefore, the correct choice is option D) 3/7.

To calculate the length between A and B you have to draw them in the cartesian system and link them with a line, then using that line as hypothenuse, draw a right triangle, whose base will be paralel to the x-axis and its height will be paralel to the y-axis.

Using the coordinates calculate the length of the base and height of the triangle:

Base= XA-XB= (-1)-(-8)=7

Height= YB-YA=7-(-7)=14

Now you have to apply pythagoras theorem you can calculate the length of the hypotenuse:

The distance between poins A and B is 15.65