Find the values of x for which the function y = x – 5x - 13x + 3 is increasing".

Answer:

0

Step-by-step explanation:

2/10 is 2/10 away from 0, 2/10 is 3/10 away from 1/2, and 2/10 is 8/10 away from 1

Answer:

25 percent

Step-by-step explanation:

The value of A is closest to P1,132,069.

To determine the value of A, we can use the concept of a sinking fund and present value calculations. A sinking fund is established by making regular deposits over a certain period of time to accumulate a specific amount of money in the future.

In this scenario, we need to accumulate P5M (P5,000,000) in six years. The deposits are made at the beginning of each year, and the interest rate is 8% per annum. We want to find the value of each deposit, denoted as A.To calculate the value of A, we can use the formula for the future value of an ordinary annuity:

FV=A×( r(1+r)^ n −1 )/r

where FV is the future value, A is the annual deposit, r is the interest rate, and n is the number of periods.

Substituting the given values and Solving this equation, we find that A is approximately P1,132,069.

Therefore, the value of A, closest to the given options, is P1,132,069 (option a).

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Answer:

each pound of chocolate is 75 cents

Step-by-step explanation:

75+75+75=225

Answer:

The complete question is as below:

Stacy and Melissa work as waitresses.  They both earn $7.75 per hour, plus tips. Last weekend, Stacy worked x number of hours and earned $153.95 in tips. Melissa worked y number of hours and earned $129.02 in tips.  Stacy determined that using the expression 7.75x + 153.95 + 7.75y + 129.02 will calculate the amount the girls earned together last weekend.  Select another expression the girls could also use.

A. 7.75x + y + 282.97

B. 7.75(x + y) + 282.97

C. 7.75(xy) + 282.97

D. 7.75x + 7.75y – 282.97

Option B,7.75(x + y) + 282.97  is correct

Step-by-step explanation:

Stacy already calculated total earnings of both of them with expression

7.75x + 153.95 + 7.75y + 129.02

The expression can be rewritten by simplifying it

first and foremost we can arrange the expression as follows:

7.75x+7.75y+153.95+129.02

7.75 is common to 7.75x+7.75y

7.75(x+y)+153.95+129.02

the sum of these two numbers 153.95+129.02=282.97

7.75(x+y)+282.97

From all indications,option B is the correct answer out of all options provided

Option D is obviously because of the negative sign introduced since the requirement is to compute total earnings not the difference between the two earnings

Answer: I did get a chance to look for the new one on my way back from the Senate and I will be there at the same time as the first time in the new season and then we going to go look for it and I get it to you tomorrow

Step-by-step explanation:

The required value of x for the given proportion is 45.31

What is proportion?

Proportion is a mathematical relationship or ratio between two or more values. It is used to compare the size, quantity, or degree of two or more objects or measurements. Proportion can be expressed as a fraction, decimal, or percentage. It is often used in geometry, algebra, and calculus to determine the size of a shape or to solve an equation. Proportion is also used in statistics to compare data sets. In everyday life, proportion is used to make sure that items are in good balance with each other. For instance, proportions are used when baking a cake or making a recipe to ensure that the ingredients are properly combined.

Given, the proportion

x : 15 = 29 : 9.6

or, x = \(\frac{29}{9.6}\) × 15

or, x = 45.31

Hence, the required value of x for the given proportion is 45.31

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A matrix with m rows and m columns is required in order to define a mapping from into by the rule t(x)ax, where m is a positive integer.

A matrix, a, is necessary in order to define a mapping from into by the rule t(x)ax.

Let's have a look at how many rows and columns are required to define this mapping.

In order to define a mapping from into by the rule t(x)ax, a should be a square matrix with the same number of rows and columns.

Therefore, a matrix with m rows and m columns is required in order to define a mapping from into by the rule t(x)ax, where m is a positive integer.

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a) Demand function: Qd = 30,000 - 100P, Supply function: Qs = -P b) Equilibrium price: $303.03, Equilibrium quantity: 27,697 vehicles. c) New equilibrium price: $333.33, New equilibrium quantity: 24,000 vehicles. d) Excess demand of 417 vehicles. e) New equilibrium price: $250, New equilibrium quantity: 24,750 vehicles.

a) The demand function for the bridge usage can be written as:

Qd = 30,000 - 100P

Where Qd represents the quantity demanded (number of vehicles crossing the bridge) and P represents the toll price.

The supply function for the bridge usage can be written as:

Qs = -P

Where Qs represents the quantity supplied (number of vehicles allowed to use the bridge by the city) and P represents the toll price.

b) To find the equilibrium price and quantity, we set the quantity demanded equal to the quantity supplied:

30,000 - 100P = -P

Simplifying the equation, we get:

30,000 = 99P

P = 303.03

Substituting the value of P back into either the demand or supply function, we find:

Qd = 30,000 - 100(303.03)

Qd = 27,697

Therefore, the equilibrium price is $303.03 and the equilibrium quantity is 27,697 vehicles.

c) If the demand for the bridge usage decreases by 10%, the new demand function becomes:

Qd = 0.9(30,000 - 100P)

Setting the new demand equal to the supply function:

0.9(30,000 - 100P) = -P

Solving the equation, we find:

P = 333.33

Substituting the value of P back into the demand or supply function, we get:

Qd = 0.9(30,000 - 100(333.33))

Qd = 24,000

Therefore, the new equilibrium price is $333.33 and the new equilibrium quantity is 24,000 vehicles.

d) With a toll charge of $100, we use the demand function from part c) and the original supply function:

0.9(30,000 - 100P) = -100

Solving the equation, we find:

P = 305.56

Substituting the value of P back into the demand or supply function, we get:

Qd = 0.9(30,000 - 100(305.56))

Qd = 24,417

Since the quantity demanded is greater than the quantity supplied, there is an excess demand of 24,417 - 24,000 = 417 vehicles.

e) If the supply of the bridge usage decreases by half, the new supply function becomes:

Qs = -0.5P

Setting the new supply equal to the demand function from part c):

0.9(30,000 - 100P) = -0.5P

Solving the equation, we find:

P = 250

Substituting the value of P back into the demand or supply function, we get:

Qd = 0.9(30,000 - 100(250))

Qd = 24,750

Therefore, the new equilibrium price is $250 and the new equilibrium quantity is 24,750 vehicles.

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the greater fraction is 39 ,  To compare 6/9 and 3/4, we can convert 3/4 to a fraction with a denominator of 9:

what is  denominator ?

In a fraction, the denominator is the bottom number that represents the total number of equal parts into which a whole is divided or the total number of parts in the fraction. For example, in the fraction 3/5, the denominator is 5

In the given question,

A. 46 or 310:

To compare 46 and 310, we can use the benchmark fraction 1/2.

46 is less than 1/2 (which equals 50/100) and 310 is greater than 1/2.

Therefore, the greater fraction is 310.

B. 27 or 58:

To compare 27 and 58, we can use the benchmark fraction 1/4.

27 is greater than 1/4 (which equals 25/100) and 58 is greater than 1/2.

Therefore, the greater fraction is 58.

C. 35 or 39:

To compare 35 and 39, we can use the benchmark fraction 1/2.

35 is less than 1/2 (which equals 50/100) and 39 is greater than 1/2.

Therefore, the greater fraction is 39.

a. 45 or 910:

To compare 45 and 910, we can convert them to a common denominator of 90:

45/1 = 45/1 x 10/10 = 450/10

910/1 = 910/1 x 9/9 = 8190/9

Now we can compare 450/90 and 8190/90:

450/90 = 5/1

8190/90 = 910/1

Therefore, the greater fraction is 910.

b. 57 or 814:

To compare 57 and 814, we can convert them to a common denominator of 28:

57/1 = 57/1 x 4/4 = 228/4

814/1 = 814/1 x 1/1 = 814/28

Now we can compare 228/28 and 814/28:

228/28 = 57/7

814/28 = 29/1

Therefore, the greater fraction is 814.

c. 312 or 13:

To compare 312 and 13, we can convert 13 to a fraction with a denominator of 12:

13/1 = 13/1 x 12/12 = 156/12

Now we can compare 312/1 and 156/12:

312/1 = 312/1 x 12/12 = 3744/12

156/12 = 13/1

Therefore, the greater fraction is 312.

a. 5/6 : 3/4 :

To find equivalent fractions with a common denominator, we can use the product of the denominators:

5/6 = 5/6 x 4/4 = 20/24

3/4 = 3/4 x 6/6 = 18/24

20/24 > 18/24

Therefore, 5/6 > 3/4.

b. 4/7 : 2/3 :

To find equivalent fractions with a common denominator, we can use the product of the denominators:

4/7 = 4/7 x 3/3 = 12/21

2/3 = 2/3 x 7/7 = 14/21

12/21 < 14/21

Therefore, 2/3 > 4/7.

a. 6/9 or 3/4:

To compare 6/9 and 3/4, we can convert 3/4 to a fraction with a denominator of 9:

3/4 = 3

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Answer:

See explanations below

Step-by-step explanation:

Given the equation

6x-9 = 15

Add 9 to both sides

6x-9+9 = 15+9

6x = 24

x = 24/6

x = 4

For the equation

16x - 20 = 44+ 5x

Since we have x variables on both sides, we will collect the like terms

16x - 5x = 44+20

11x = 64

Divide both sides by 11

11x/11 = 64/11

x = 64/11

x = 5.82

Hence the value of x is 5.82

Answer:

x × 1/2 - 3

Step-by-step explanation:

in slope intercept form an equation is written in y=mx+b where m is the slope and b is the y intercept

from the graph you can see the line goes up 1 and right 2, up 1 right 2, etc. that means the slope is positive 1/2

the line cross the y access at -3, therefore the y intercept is -3

so

\(y = \frac{1}{2} x - 3\)

Answer:

christian closest-0.5 is the distance he traveled which is less than 8 and 6

Step-by-step explanation:

Freddie is the fastest because christian travles .1 miles every 2 minutes being the slowest  and .8 is greater than .66666

Answer:

a. Christian

b. Freddie

Step-by-step explanation:

a.

y = mx + b

m is the slope. It represents the speed of walking.

b is the y-intercept. It represents the distance from the school at time 0. Time 0 is when a person leaves his home, so the higher b is the farther from the school the person lives.

Freddie: y = -0.8x + 8

b = 8

Freddie lives 8 miles from school.

Christian: (0, 0.5); b = 0.5

Christian lives 0.5 miles from school.

Trevor: (0, 6) from the graph. b = 6; Trevor lives 6 miles from school.

a. Answer: Christian

b.

Each slope is the speed.

Freddie: m = -0.8

Christian: m = (0.4 - 0.5)/(2 - 0) = -0.1/2 = -0.05

Trevor: m = rise/run = -2/3 = -0.666...

The fastest speed is the slope with the highest absolute value.

b. Answer: Freddie

An experiment can show that all angles of a rectangle are equal and angles.

To verify experimentally that all angles of a rectangle are equal and right angles, you can perform the following steps:

Through these steps, you can verify experimentally that all angles of a rectangle are equal and right angles.

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To find the volume of a square based pyramid, we use the formula V = (1/3) x base area x height. In this case, the base of the pyramid is a square with side length 10 cm. To find the area of the base, we square the side length, giving us 100 cm². The height of the pyramid is 12 cm.

Plugging in these values into the formula, we get V = (1/3) x 100 cm² x 12 cm = 400 cm³. Therefore, the volume of this square based pyramid is 400 cubic centimeters.

It is important to note that when finding volume, we use the unit cubed, which in this case is cm³. This signifies that we are dealing with three dimensions (length, width, and height) and not just one (such as cm² for area).
To find the volume of a square-based pyramid, use the formula V = (1/3) × Base Area × Height. In this case, the base is a square with side length 12 cm, so the Base Area = 12 cm × 12 cm = 144 cm². The height is 10 cm. Now, apply the formula: V = (1/3) × 144 cm² × 10 cm = 48 cm³ × 10 cm = 480 cm³. So, the volume of the square-based pyramid is 480 cm³.

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Answer:

65

Step-by-step explanation:

Triangles are 180 degrees in total. If you add the degrees that are known, 62 and 53, you get 115. Then you would do 180-115, which is 65. 65 would be the value of x. Hope this helps!

Answer:

10 oranges

Step-by-step explanation:

6 oranges is sold for $4.80

1 orange= 4.80/6

= $0.8

Austin spent $8.00 on oranges, then the amount of oranges he bought with this amount can be calculated as follows

= 8/0.8

= 10 oranges

Given:

y = 6

z = 2

To find:

value of expression 3y - z/y + 5z or (3y-z)/(y+5z)

Steps:

substituting the values we get,

3(6)-2/6 + 5(2)

= 18 - 1/3 + 10

= 27 + 2/3

since thats not there in the options i will try the 2nd one, (next time when writing question pls put brackets to signify if we to divide 2 numbers by and number

\(\frac{3(6)-2}{6+5(2)}\)

\(=\frac{18 - 2}{6 + 10}\)

\(= \frac{16}{16}\)

\(= 1\)

Therefore, the answer is option A) 1

Happy to help :)

If u need help, feel free to ask

The value of x from the right triangle is x = 3√11

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the first triangle be ΔABC

Let the second triangle be ΔDBC

Now , BD is perpendicular to AC

So , the triangles ΔABC and ΔDBC are similar

The measure of BD = x

The measure of AD = 9

The measure of DC = 20

Now , AD / AB = AB / DC

Substituting the values in the equation , we get

9/a = a/20

On simplifying the equation , we get

a² = 180

So , a = 3√20

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Now , the measure of x = √ ( 3√20 )² - ( 9 )²

So , the measure of x = √ ( ( 180 ) - 81 )

The measure of x = √ 99

The measure of x = 3√11

Hence , the measure of x of triangle is 3√11

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Answer:

4

Step-by-step explanation:

Rate of change forumla

\(m = \frac{y2 - y1}{x2 - x1} \)

We have our X points, -7 and -2. Now to find the Y value at those places.

For -7, Y is 5

For -2, Y is 25

Now we plug this into the equation

\( = \frac{25 - 5}{ - 2 - ( - 7)} = \frac{20}{5} = 4\)

The difference in the shortest collection times before and after the well installation is 20 minutes, calculated by subtracting the shortest time after installation (25 minutes) from before (45 minutes), as shown in the box and whiskers plot.

This is calculated by subtracting the shortest collection time after well installation (25 minutes) from the shortest collection time before well installation (45 minutes):

45 - 25 = 20 minutes.

This can be seen in the box and whiskers plot provided, where the lowest value for each distribution is denoted by the beginning of the whiskers.

So, the difference is before and after the well installation is 20 minutes.

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--The given question is incomplete, the complete question is given

" What is the difference in minutes between the shortest collection times before and after the well was installed"--

Hey there! I'm happy to help!

VOTES FOR MUNOZ TO SMITH

32:24

We see that both have a common factor of 8, so we can divide both by that.

4:3

This is in simplest form.

VOTES FOR PARK TO MUNOZ

20:32

We see that both have a common factor of 4, so we divide both by that.

5:8

This is completely simplified.

VOTES FOR SMITH TO TOTAL VOTES

24+32+20=76

24:76

We see that both have a common factor of 4, so will divide both by that.

6:19

We cannot simplify any more here.

VOTES FOR SMITH TO MUNOZ TO PARK

24:32:20

We can divide these all by four, so let's do that.

6:8:5

This can't be simplified anymore, so it is in simplest form.

Have a wonderful day! :D

Answer:

80

Step-by-step explanation:

20% of 400 is

= 20/100 * 400

= 80

There are no solutions for the equation 3x106 3x12.

The equation 3x106 3x12 can be rearranged to 3x106 - 3x12 = 0. This is a linear equation and can be solved using the equation ax+b=0, where a is the coefficient of the variable and b is the constant.

In this case, a = 3 and b = -3x106. To solve this equation, we can use the quadratic formula, which states that x = -b ± √b2 - 4ac / 2a.

Substituting the values for a, b, and c yields x = -(-3x106) ± √(3x106)2 - 4(3)(-3x106)/2(3). Simplifying this yields x = 3x106 ± √9x1012 - 36x1012/6.

This simplifies to x = 3x106 ± √-27x1012/6. Since the square root of a negative number is not a real number, this equation has no real solutions. Therefore, there are no solutions for the equation 3x106 3x12.

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Answer:

50 days

Step-by-step explanation:

40×300=1200

1200-700

500

so 1 day is 10 . 50 days is 500

The number of days he was absent from work will be 50 days

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a man gets Rs. 40 for every day he works, but is fined Rs. 10 for every day he is absent If he got Rs. 700 at the end of 30 days.

The number of days he was absent from work will be calculated as below:-

40×300 = 1200

             = 1200-700

             = 500

1 day is 10 then 50 days is 500. Therefore, the number of days he was absent from work will be 50 days

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Answer:

69min

Step-by-step explanation:

sue: 24min 40km

.6 min per 1km

×115

115 km = 69 min

Answer:

Part A

The Quadratic Function to model the total number of bricks the stack is f(x) = x²

Part B

The number of bricks we will have for 50 rows is 2500 bricks

Step-by-step explanation:

Part A

Let the Quadratic Function to model the total number of bricks the stack, f(x), where x is the number of rows be f(x) = a·x² + b·x + c

We have;

When x = 0, f(x) = 0, therefore, f(0) = a×0² + b×0 + c = 0 + 0 + c = 0

∴ c = 0

When x = 1, f(x) = 1, therefore, f(1) = a×1² + b×1 + 0 = 1

∴ a + b = 1...(1)

When x = 2, f(x) = 4, therefore, f(2) = a×2² + b×2  = 4

∴ 4·a + 2·b = 4...(2)

Multiply equation (1) by 2, and subtract it from equation (2) gives;

4·a + 2·b - 2×(a + b) = 4 - 2 × 1

2·a = 2

a = 1

From equation (1), we have;

b = 1 - a = 1 - 1 = 0

b = 0

∴ f(x) = a·x² + b·x + c = 1·x² + 0·x + 0 = x²

Therefore, the Quadratic Function to model the total number of bricks the stack, f(x), where x is the number of rows be f(x) = x²

Part B

If there are 50 rows in the stack, then we have, x = 50

Therefore;

f(50) = 50² = 2500

The number of bricks we will have for 50 rows is f(50) = 2500 bricks

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Answer:

8

Step-by-step explanation:

We will the pythagorian theorem :

Answer:

b=8

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle:

a^2+ b^2 = c^2 where a and b are the legs and c is the hypotenuse

a=6 and b = 10

6^2 + b ^2 = 10^2

36+ b^2 = 100

b^2 = 100-36

b^2 = 64

Taking the square root of each side

sqrt(b^2) = sqrt(64)

b = 8

Answer:

6m -22

Step-by-step explanation:

(m - 7) + 5(m - 3)

= m - 7 + 5m - 15

= 6m -22

Answer: 6m-22

Step-by-step explanation:

Given

 (m-7)+5(m-3)

Take off parentheses/distributive property

= m-7+5m-15

Move like terms together

=m+5m-7-15

Combine like term

=6m-22

Hope this helps!! :)

Please let me know if you have any question

The given one-on-one function is g(x) = 2x - 5, and it is necessary to find its inverse, g⁻¹(x).

We are given a function g(x) = 2x - 5.The inverse of g(x) is found by replacing g(x) with x and solving for x. Then interchange x and y and get the inverse function, g⁻¹(x).Therefore,

x = 2y - 5 => 2y

= x + 5

=> y = (x + 5) / 2Hence, the inverse function of

g(x) is g⁻¹(x) = (x + 5) / 2.

Domain of g(x) is all real numbers.Range of g(x) is all real numbers.

Domain and Range in interval notation:The range of a function is the set of all output values of the function. The domain of a function is the set of all input values of the function. The range and domain of a function can be represented using interval notation as shown below;

Domain of g(x) is all real numbers, i.e., (- ∞, ∞).

Range of g(x) is all real numbers, i.e., (- ∞, ∞).

Therefore, Domain = (- ∞, ∞), Range = (- ∞, ∞).

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Answer:

0.18 or 0.14 or 0.10

Step-by-step explanation: