What is -2-+4 equal?

Answer:
\(3x-2+\frac{5}{x}\)

Step-by-step explanation:

To divide the polynomial (9x^3 - 6x^2 + 15x) by the monomial 3x^2, we can write it as:

(9x^3 - 6x^2 + 15x) ÷ (3x^2)

To simplify the division, we divide each term of the polynomial by 3x^2:

(9x^3 ÷ 3x^2) - (6x^2 ÷ 3x^2) + (15x ÷ 3x^2)

To divide monomials with the same base, we subtract the exponents. So:

9x^3 ÷ 3x^2 = 9/3 * (x^3/x^2) = 3x^(3-2) = 3x

(-6x^2) ÷ (3x^2) = -6/3 * (x^2/x^2) = -2

15x ÷ 3x^2 = 15/3 * (x/x^2) = 5/x

Putting it all together, we have:

(9x^3 - 6x^2 + 15x) ÷ (3x^2) = 3x - 2 + 5/x

Therefore, the division of (9x^3 - 6x^2 + 15x) by 3x^2 is 3x - 2 + 5/x.

Briana will take minutes to fill an order alone at her clothing boutique is 12 minutes.

Eva takes to fill an online order at her clothing boutique. = 6 minutes

If Eva and Briana fill an order together = 4 minutes

Briana will take minutes to fill an order alone at her clothing boutique = X minutes.

then the equation will be :

1/6 + 1/x = 1/4

1/x =  1/4 -  1/6

now solve equation by taking LCM

1/x = (6-4)/4x6

1/x = 2/24

1/x = 1/12

x = 12

so the value of x is 12

Briana will take minutes to fill an order alone at her clothing boutique is 12 minutes.

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Answer:

20\(c^{6}\)

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

given

(- 4c³)(- 5c³) ← remove parenthesis

= - 4 × c³ × - 5 × c³

= - 4 × - 5 × c³ × c³

= 20 × \(c^{(3+3)}\)

= 20\(c^{6}\)

The average change as a simplified mixed number would be,

⇒ 1 3/4

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

We have to given that;

The running back for the Bulldogs football team carried the ball 7 times for a total loss of 12 1/4 yards.

Now, The average change as a simplified mixed number would be,

⇒ (12 1/4) / 7

⇒ (49/4) / 7

⇒ (49 / 4×7)

⇒ 7/4

⇒ 1 3/4

Therefore, The average change is,

⇒ 1 3/4

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Answer:

a) .38 × 2,450 = 931 people buy the local newspaper.

b) 2,450 - 931 = 1,519 people do not buy the local newspaper.

The only option that is ordered from least to greatest is:

The equation that models the relationship between the amount of time Rita spends on the treadmill (t) and the distance she walks (d) is: d = 2t

To determine the equation that models the relationship between the amount of time Rita spends on the treadmill (t) and the distance she walks (d), let's analyze the given table.

Since the table displays the relationship between time and distance, we can observe the pattern and infer the equation. Let's assume that Rita walks at a constant speed.

Table:

Time (t) Distance (d)

10 2

20 4

30 6

40 8

50 10

From the table, we can see that the distance Rita walks is always twice the amount of time she spends on the treadmill. This implies that for every 10 units of time, Rita walks 2 units of distance. Therefore, we can conclude that the relationship between time and distance can be represented by a linear equation.

Let's define the equation:

d = m * t

In this equation, 'd' represents the distance, 't' represents the time, and 'm' represents the slope or rate at which Rita walks.

From the given table, we can observe that for every 10 units of time (t), the distance (d) increases by 2 units. This indicates that the slope (m) of the equation is 2.

Therefore, the equation that models the relationship between the amount of time Rita spends on the treadmill (t) and the distance she walks (d) is:

d = 2t

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Answer:

27

reason:

did it recently

A)
i) the inequality to show the number of ballons that the dance committee can buy is: 0.80b + 65 ≤ 125

ii)  solving the inequality above, we arrive at b ≤ 75
B) The graph is attached accordingly.

C) See the description of the solution below.

Let's start by defining our variables. Let b be the number of balloons that the dance committee could buy.

The cost of b balloons is $0.80b. We want to make sure that the cost of the balloons plus the amount already spent on decorations ($65) is less than or equal to the budget of $125. So we can write the following inequality:

0.80b + 65 ≤ 125

Now we can solve for b:

0.80b + 65 ≤ 125

0.80b ≤ 125 - 65

0.80b ≤ 60

b ≤ 75

Therefore, the dance committee can buy up to 75 balloons to stay within their budget.

To graph the solution set, we can plot b on the horizontal axis and shade the region to the left of b = 75, since b must be less than or equal to 75.

The solution set represents all possible values of b that satisfy the inequality. In this case, the solution set is b ≤ 75, which means that the dance committee can buy up to 75 balloons and still stay within their budget.

As the number of balloons increases, the cost of the balloons also increases, and the amount of money left in the budget decreases.

Therefore, the more balloons the dance committee buys, the less money they will have left for other decorations or expenses.

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Full Question:


Since the above question is incomplete, it appears you are referring to the question below.


The dance committee has a budget of $125 to decorate the gym for a spring dance. They already spent $65. Some members want to buy helium balloons that cost $0.80 each.

A) Write and solve an inequality to show the number of balloons that the dance committee could buy.

B) Graph the solution set for the inequality.
C) Describe what the solution means and how the number of balloons affects the amount in the budget.

Answer:

15000 meters

Step-by-step explanation:

1 kilometer = 1000 meters

Therefore 15 Kilometer = 15 x 1000 = 15000

So Francis drove 15000 meters to get to the store and back.

Populations with a lower growth rate take a longer time to double because ln(1 + r) <<< ln2 hence the time required increases.

The term exponential growth is defined by the exponential function;

P = Po(1 + r)^t

Where;

P = population at time t

Po = population initially present

r = rate of growth

t = time

If P = 2Po

2Po =  Po(1 + r)^t

2 = (1 + r)^t

ln2 =tln1 + r

t = ln2/ln(1 + r)

Populations with a lower growth rate take a longer time to double because ln(1 + r) <<< ln2 hence the time required increases.

The only way to double the population in one year is to let it increase by 100% such that;

t =ln2/ln (1 + 1)

t =ln2/ln2

t = 1

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Answer:

perpendicular because the slopes are opposite

Step-by-step explanation:

Susan has 875 grams of grapes left.

1. Susan bought a 1 kilogram bag of grapes, which is equivalent to 1000 grams (since there are 1000 grams in a kilogram).

2. Susan ate 125 grams of the grapes on her way home.

3. To find out how many grams of grapes Susan has left, we need to subtract the amount she ate from the initial weight of the bag. Therefore, we subtract 125 grams from 1000 grams.

  1000 grams - 125 grams = 875 grams

4. Thus, Susan has 875 grams of grapes left.

measurement units:

In this problem, we used grams as the measurement unit. Grams are commonly used to measure the weight of small objects like grapes. Since the problem stated that Susan bought a 1 kilogram bag of grapes, it was necessary to convert the kilogram measurement to grams.

This conversion was done by multiplying the kilogram value by 1000 (1 kilogram = 1000 grams). By using the correct measurement units, we were able to accurately calculate the amount of grapes Susan had left after eating a portion.

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The formula for a function of the form \(y = a\cdot e^{-x} + b\cdot x\) with global minimum at \((1, 10)\) is \(y = 5\cdot e^{1-x}+5\cdot x\).

We can use first and second derivative tests to determine all coefficients of the function described in statement so that the point given is an absolute minimum. The expressions for such tests are introduced below:

FDT

\(-a\cdot e^{-x}+b = 0\) (1)

\(b = a\cdot e^{-x}\)

SDT

\(y''=a\cdot e^{-x}\) (2)

Where \(y'' > 0\).

If we know that \((x, y) = (1, 10)\), then we have the following system:

\(10 = a\cdot e^{-1}+b\) (3)

\(b = a\cdot e^{-1}\) (4)

\(y'' = a\cdot e^{-1}\) (5)

By (4) in (3):

\(10 = 2\cdot a\cdot e^{-1}\)

\(a = \frac{10}{2\cdot e^{-1}}\)

\(a = 5\cdot e\)

By (5) we prove that \(y'' > 0\), and we get the value of \(b\) by (4):

\(b = 5\)

Thus, the formula for a function of the form \(y = a\cdot e^{-x} + b\cdot x\) with global minimum at \((1, 10)\) is \(y = 5\cdot e^{1-x}+5\cdot x\).

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Answer:

(a) 110

Step-by-step explanation:

We can plug in 7 for a and 3 for b.  Then we can simplify

11(a + b)

11(3 + 7)

11(10)

110

Thus, the value of 11(a + b) when a = 7 and b = 3 is 110, or answer a

The figure is indeed symmetric and the number of lines of symmetry the snowflake has is C. Yes; 6 lines of symmetry.

Generally a snowflake is hexagonal and has 6-way radial symmetry. Thus, one can rotate it 60 degrees (the sixth of full rotation) and it still appears the same.

So, overall, this means that a snowflake holds 6 lines of symmetry which divide it into two identical halves reflecting each other. Consequently, it can be rotated in 60-degree increments and still holds identicality. Akin to this final property, the snowflake artifact possesses six uniquely divided

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10 and 1/3 minus 7 and 2/3 is equal tο 8/3 οr 2 and 2/3.

In Maths, a fractiοn is used tο represent the pοrtiοn/part οf the whοle thing. It represents the equal parts οf the whοle. A fractiοn has twο parts, namely the numeratοr, and denοminatοr. The number οn the tοp is called the numeratοr, and the number οn the bοttοm is called the denοminatοr.

Tο subtract 7 and 2/3 frοm 10 and 1/3, we can write bοth as imprοper fractiοns with a cοmmοn denοminatοr and then subtract:

10 and 1/3 - 7 and 2/3 = (31/3) - (23/3)

Tο subtract these fractiοns, we need a cοmmοn denοminatοr, which is 3. We can rewrite the fractiοns with the cοmmοn denοminatοr οf 3:

(31/3) - (23/3) = (31 - 23)/3 = 8/3

Therefοre, 10 and 1/3 minus 7 and 2/3 is equal tο 8/3 οr 2 and 2/3.

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Complete question:

Convert the given sentence in to an algebraic expression and solve. Ten and one third minus seven and two thirds

Answer:

208

Step-by-step explanation:

112+96=208

The equation that is shown by the graph is y = -x + 4

From the graph, we have the following observation:

The above means that the graph represents a linear equation

The points on the graph are

(0, 4) and (4, 0)

Calculate the slope using

m = (y2 - y1)/(x2 - x1)

This gives

m = (0 - 4)/(4 - 0)

Evaluate

m = -1

The linear equation is represented as

y = mx + c

So, we have

y = -x + c

Where c = y, when x = 0

So, we have:

c = 4

This means that

y = -x + 4

Hence, the equation that is shown by the graph is y = -x + 4

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Answer:

x^2(x-5)

Step-by-step explanation:

f(x)=x-5

g(x)=x^2

g(f(x)=?

x^2(f(x)=?

x^2(x-5)

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9514 1404 393

Answer:

  D.  (x -5)²

Step-by-step explanation:

Replace the variable with the function argument.

  G(F(x)) = G(x -5) = (x -5)² . . . . . matches choice D

According to the information, the perimeter of the triangle is ≈ 31.18

To find the distance between two points, we can use the distance formula:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Let's label the coordinates as follows:

Point 1: (-2, 3)

Point 2: (3, -2)

Now we can substitute these values into the distance formula:

distance = sqrt((3 - (-2))^2 + (-2 - 3)^2)

distance = sqrt((5)^2 + (-5)^2)

distance = sqrt(25 + 25)

distance = sqrt(50)

distance ≈ 7.07

Therefore, the distance from (-2, 3) to (3, -2) is approximately 7.07 units.

To find the perimeter of the triangle, we need to find the length of all three sides of the triangle and then add them up.

Using the distance formula, we can find the length of the sides:

Side 1: (-2,3) to (3,-2)

d = √[(3 - (-2))^2 + (-2 - 3)^2]

= √[5^2 + (-5)^2]

= √50

= 5√2

Side 2: (3,-2) to (-7,-2)

d = √[(-7 - 3)^2 + (-2 - (-2))^2]

= √[(-10)^2 + 0^2]

= 10

Side 3: (-7,-2) to (-2,3)

d = √[(-2 - (-7))^2 + (3 - (-2))^2]

= √[5^2 + 5^2]

= 5√2

Therefore, the perimeter of the triangle is:

5√2 + 10 + 5√2 = 15√2 + 10 ≈ 31.18 (rounded to two decimal places)

An two of the three sides are equal, so it is an isosceles triangle.

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Answer: $2.60

Step-by-step explanation:

$1+$1.60=$2.60

Answer:

6666

Step-by-step explanation:

Answer:

11331 non fiction books

Step-by-step explanation:

Given :

Total books = 67982

Childrens section = 1/3 of total

Number of children's books :

(1/3 * 67982) = 22660 books (approximately)

Books left :

67982 - 22660 = 45,322 books

Fiction books:

75% of remaining

0.75 * 45322

33991.5

= 33991 books

If the only section left is non - fiction, then

Non - fiction books = (45322 - 33991) = 11331

The biscuits should be placed 2.54 centimeters apart on the baking tray.

The unitary method is a way for solving a problem by the first value of a single unit and than finding the value by multiplying the single unit. Unitary method is a technique by which we can find the value of a single value from the value of more than one devices and the value of more than one unit from the value of a single unit. We can this method use for most of the calculations in math.

We are given that;

Elana must roll the dough into 7 inch rounds.

a) To convert this measurement to centimeters, we can use the conversion factor 1 inch = 2.54 centimeters. Therefore, 7 inches is equal to:

7 inches x 2.54 centimeters/inch = 17.78 centimeters

So, Elana must roll the dough into 17.78 centimeter rounds.

b) To rewrite all the ingredients using grams or milliliters, we need to know the density of each ingredient. Assuming that the density of each ingredient is the same as that of all-purpose flour (which is approximately 125 grams per cup), we can convert the measurements as follows:

1 cup flour = 125 grams flour

1/2 cup sugar = 100 grams sugar

2 teaspoons baking powder = 10 grams baking powder

1 teaspoon salt = 5 grams salt

1/2 cup cream = 120 milliliters cream (assuming a density of 1 gram per milliliter)

So, the rewritten ingredients are:

125 grams flour

100 grams sugar

10 grams baking powder

5 grams salt

120 milliliters cream

c) The recipe states that the oven should be preheated to 350 °F. To convert this temperature to Celsius, we can use the formula:

Celsius = (Fahrenheit - 32) x 5/9

So, the temperature in Celsius is:

Celsius = (350 - 32) x 5/9 = 176.67 °C

Therefore, Elana should heat the oven to 176.67 °C.

d) The recipe states that the biscuits should be placed on the baking tray 1 inch apart. To convert this measurement to centimeters, we can use the conversion factor 1 inch = 2.54 centimeters. Therefore, the biscuits should be placed on the baking tray:

1 inch x 2.54 centimeters/inch = 2.54 centimeters

Therefore, by unitary method answer will be 2.54 centimeters.

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Answer:

k(x)=-3/4x+5

Step-by-step explanation: