If c=1/3 and b=3 solve 3c divided by (2b to the 2nd power

Buenos días! ¡Claro que sí! Para pasar una función f(x) a F(x) - 1, simplemente debemos restar 1 a la función original.

Si f(x) = 3x^2 - 4x + 1, entonces:

F(x) = f(x) - 1

F(x) = (3x^2 - 4x + 1) - 1

F(x) = 3x^2 - 4x

Por lo tanto, la función F(x) obtenida al restar 1 a la función f(x) = 3x^2 - 4x + 1 es F(x) = 3x^2 - 4x.

Interval notation is a way of writing the subsets of the real number line.

There are 2 types of brackets used to represent two types of intervals on the number line.

A closed interval is one that includes its endpoints. Closed brackets, [ ], are used to write out the intervals. For example, the interval 0 ≤ x ≤ 3 is represented as:

An open interval is one that does not include its endpoints. Open brackets, ( ), are used in this case. For example, the interval 0 < x < 3 is represented as:

The interval in the question is given to be:

This means that the interval contains all real numbers less than or equal to 1:

ANSWER: The answer is "less than or equal to".

Answer:

16 and 21

Step-by-step explanation:

two years ago they were 14 and 19 which we can figure out using the equation (33-5)/2=14 and 33-14=19. so we add 2 to both of those numbers to get their current ages.

Part (a)

The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.

\(C(x)=500+1.25x\)

Part (b)

The revenue is the number of slushies sold multiplied by the amount charged per slushie.

\(R(x)=3.50x\)

Answer:

Axis of symmetry:  x = 5

Vertex form:  y = -4(x - 5)² + 3

Step-by-step explanation:

Given ordered pairs: (2, -33)  (3, -13)  (4, -1)  (5, 3)  (6, -1)

Axis of Symmetry

As this is a parabola, it will be symmetrical.  

To determine the axis of symmetry, identify two ordered pairs that have the same y-values and find their midpoint.

Two ordered pairs with the same y-value:  (-4, 1)  and  (6, -1)

Midpoint of x = 4 and x = 6 is:  x = 5

Therefore, the axis of symmetry is x = 5

Vertex form

Vertex form of a quadratic equation:  y = a(x - h)² + k

(where (h, k) is the vertex)

The axis of symmetry is the x-value of the vertex of the parabola.

As we have been given the point when x = 5, the vertex is:  (5, 3)

Substituting this into the formula:

⇒ y = a(x - 5)² + 3

To find the value of a, substitute any of the other points into the formula and solve for a.

Using (4, -1)

⇒ a(4 - 5)² + 3 = -1

⇒ a(-1)² = -4

⇒ a = -4

Therefore, the vertex form of the parabola is:

y = -4(x - 5)² + 3

A mean is an arithmetic average of a set of observations. The mean height of the five students is 148.

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

Given that the mean height of three boys is 150 centimeters. Therefore, the sum of height of the three boys is,

Mean Height of boys = Sum of height of boys / Number of boys

150 = Sum of height of boys/ 3

Sum of height of boys = 150 x 3 = 450

Also, given that the mean height of two girls is 145 centimeters. Therefore, the sum of height of the two girls is,

Mean Height of girl = Sum of height of girls/ Number of girls

145 = Sum of height of girls/ 2

Sum of height of girls = 145 x 2 = 290

Further, the mean height of five students is,

Mean height of five students = Sum of height of students / Number of students

Mean height of five students = (450 + 290)/ 5

Mean height of five students = 740 / 5

                                                = 148

Hence, the mean height of the five students is 148.

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Answer:

3

Step-by-step explanation:

Given

y - 3 = 4(x - 0)

y - 3 = 4x

y = 4x + 3

Comparing with y = mx + c

we get

y-intercept (c) = 3

hope it will help :)

A graph of the linear equation -3x + 5y = 7 in slope-intercept form is shown in the image attached below.

In Mathematics, a graph is a type of chart that is typically used for the graphical representation of data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate respectively.

Next, we would rearrange and simplify the given given linear equation in slope-intercept form in order to enable us plot it on a graph:

-3x + 5y = 7

5y = 3x + 7

y = 3x/5 + 7/5

Lastly, we would use an online graphing calculator to plot the given function as shown in the graph attached below.

In conclusion, the slope of this linear equation is equal to 3/5 and it does not represent a proportional relationship.

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Answer:

depression

Step-by-step explanation:

The amount of the last payment that Elroy will make is $710, which includes the $200 monthly payment and a balance of $510.

The last payment amount is the result of the mathematical operations of subtraction and multiplication.

The first mathematical operation was the subtraction of the down payment from the total cost of the video game system.

Using multiplication, the monthly payments are determined to be $3,400 for 17 months.  This is subtracted from the remaining balance to obtain the last payment amount.

The cost of a custom video game/virtual sound system = $4,210

Down payment = $100

The remaining balance for monthly payment = $4,110 ($4,210 - $100)

Payment period = 18 months (1¹/₂ years)

Monthly payments = $200

Payment for the first 17 months = $3,400 (17 x 200)

Last payment = $710 ($4,110 - $3,400)

Thus, if Elroy makes the minimum monthly payment of $200 till the last payment, then he will pay $710 to settle the account.

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He made a $100 down payment and agreed to pay the entire purchase off in 1 1/2 years The minimum monthly payment is $200 if he makes the minimum monthly payment up until the last payment what will be the amount of his last payment?

Answer:131072

Step-by-step explanation: 2 x 4= 8,

8 x 4 = 32,

32 x 4 = 128,

128 x 4 = 512,

512 x 4= 2,048,

2,048 x 4 = 8,192,

8192 x 4 = 32768,

32768 x 4 = 131072

Answer:

29.4°

Step-by-step explanation:

The equation can be rearranged to give C directly.

 C = arccos((a^2 +b^2 -c^2)/(2ab))

 C = arccos((90^2 +55^2 -50^2)/(2·90·55))

 C = arccos(8625/9900) ≈ 29.4002°

 C ≈ 29.4°

The measure of angle C is approximately 29.46 degrees.

To find the measure of angle C (cos(C)) using the given values a = 55, b = 90, and c = 50, we can use the Cosine Rule formula:

cos(C) = (a² + b² - c²) / (2 * a * b)

Substitute the given values:

cos(C) = (55² + 90² - 50²) / (2 * 55 * 90)

Now, calculate the numerator:

cos(C) = (3025 + 8100 - 2500) / (2 * 55 * 90)

cos(C) = 8625 / 9900

Now, divide to get the final value of cos(C):

cos(C) ≈ 0.8707

To find the measure of angle C itself, we can take the inverse cosine (arccos) of this value:

C ≈ arccos(0.8707)

Using a calculator, you'll find:

C ≈ 29.46 degrees (rounded to two decimal places)

So, the measure of angle C is approximately 29.46 degrees.

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Answer:

8 pigs

Step-by-step explanation:

Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.

Suppose all animals are chickens.

Total no. of feet = 26 chickens × 2 feet

                           = 52 feet

Difference in total no. of feet = 68 feet - 52 feet

                                                = 16 feet

Difference in no. of feet each animal has

= 4 feet (a pig) - 2 feet (a chicken)

= 2 feet

∴ No. of pigs = 16 feet ÷ 2 feet

                      = 8 pigs

Answer: x=29

Step-by-step explanation: add 17 to both sides, you get x=29

Answer:

2.6

Step-by-step explanation:

Glass 1 is a right circular cylinder and Glass 2 is a cone. The total volume of water in both the glasses is 100 centimeters cubed. Some given dimensions are:

Right Circular Cylinder:

diameter = 5, thus radius is half of that, radius = cm

height = we need to find

(Note: Formula for volume, V, is )

Cone:

diameter = 6, thus radius is half of that, radius =  cm

height = 5.2 cm

(Note: Formula for volume, V, is )

Now adding the 2 volumes and equating to 100, and then solving for h will give us our answer (we will use π as 3.14). Let's do this.

cm. Hence height of glass 1 is 2.60 cm.

ANSWER: 2.60 cm

Answer:

2.6 centimeters

Step-by-step explanation:

The statement is true because 4 × 30%=120

In the first month, the price of the avocado is said to have been raised by 30 percent.

While already raised by 30 percent, another 30 percent raise would make the increase to be 60 percent.

While is at 60 percent, the third month the raise would be = 90 percent because 30 * 3 = 90

Then at 90 percent if there is another raise of 30 percent, the increase would grow to be 120 percent.

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8x + 1 = 7

y - x = 1

y = 1 + x

sub 1 + x in eqtn i

8x + 1 = 7 { 1 + x }

8x + 1 = 7 + 7x

8x - 7 = 7 - 1

x = 6

y - 6 = 1

y = 1 + 6

y = 7

So,

8x = 8 x 6 = 48

7y = 7 x 7 = 49

My present years is 48

Next year i will be 49

Multiple can be defined as a number that is the product of a given number and some other natural number. For example when we multiply 7 × 3=21 or 8×3 =24

Therefore my present age is 48 and next year will be 49

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Answer:

1/2 of 24 = 12

1/6 of 24= 4

1/4 of 24 = 6

Step-by-step explanation:

divide

Answer:

B

Step-by-step explanation:

2^2 x 5^2 = 100

Answer:

its yes

Step-by-step explanation:

because it's x 2  I hope this helps      

Answer:

D. but there should be an 8.33

Step-by-step explanation:

The answer should be 8.33 but in here it only says 7 which is the closest because the unit rate would be 8.33 miles an hour.

Answer:    It's not entirely clear what is being asked for in the given question, as it is not clear what the numbers represent or what operation is being performed. If you could provide more information or context, I would be happy to try and help you.

Step-by-step explanation:

The probability that the next person will purchase no costume is 7/166 if the 7 visitors purchased no costume.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

Total number of visitors = 7+143+16 = 166

Number of visitors purchased no costume = 7

The probability that the next person will purchase no costume:

= 7/166

Thus, the probability that the next person will purchase no costume is 7/166 if the 7 visitors purchased no costume.

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The amount that you need to save per month to fund the emergency fund would be $ 861. 58.

The discretionary money left per month would be $ 585. 88.

The gross income for the month :

= 17. 50 x 40 per week x 4 weeks a month

= $ 2, 800

The amount left which is realized funds for the month is:

= Gross income - FICA + Federal tax withholding + State tax withholding

= 2, 800 x ( 1 - 26. 15 %)

= $ 2, 067. 80

Five months of realized income for the emergency fund is:

= 2, 067. 80 x 5

= $ 10, 339

The amount to save per month is:

= 10, 339 / 12

= $ 861. 58

The amount left per month for discretionary expenses ;

= 2, 067. 80 - 861. 58 - 620. 24 rent

= $ 585. 88

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Answer:

Step-by-step explanation:

If both lines are open the rate of filling is:

Since tank is 1/3 full we need to fill the remaining 2/3 of it.

Time required:

Answer:

x^2=1

3x=+3

2=+2

Step-by-step explanation:

answers

1

3x

+2

hope it helps

Answer:

option 3

Step-by-step explanation:

u can eliminate option 1 and 4 because the circles are empty and this problem has an equal to sign. the greatest number x can be is -2 because that would make the left side of the equation equal to three. Therefore x must be less than or equal to -2 to make the equation true(as graphed)