The graph of f(x) = 2*- is shown.For which values of x is f(x) decreasing?JA(-1, 3) (3, 0)(-1, 3)(300)4-1(1, 3) (3, 0)

Answer:

$170

Step-by-step explanation:

Sally costs 30

Max costs 40

Goliath costs 80(1.25) = 100

add them up

$170

Answer:

x=3

Step-by-step explanation:

7x+9=30

   7x=30-9

       =21

     x=21÷7

       =3

Answer:

Step-by-step explanation:

the answer is 18 I think?

Answer:

18

Step-by-step explanation:

6 (legs) x 3 (ants) = 18 legs

It can also be represented as 6+6+6 (18)

hope this helps :)

Answer:

C

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

Given the following question:

Product costs: $90
Monthly bills: $2,300
Manufacturing costs: $75

How much profit did they make in one month if they sold 495 units?

In order to find the answer, we first need to multiply the cost of the product by the units sold last month, then subtract the bills/manufacturing costs.

One unit = 90 dollars
495 units sold last month

\(90\times495=44550\)
\(=44550\)

The company made 44,550 from the product last month.

Now apply the fees/costs:
2,300 dollars in monthly costs
75 dollars in manufacturing costs PER UNIT

\(44550-2300=42250\)
\(75\times495=37125\)
\(42250-37125=5125\)
\(=5125\)

Which means the company made a total profit of "$5,125 dollars" or option D last month.

Hope this helps.

The Boolean expression A >= B is equivalent to  !(A < B) (option A)

To simplify a Boolean expression, use De Morgan's Law.

De Morgan's Law is used to simplify or find the equivalent of a negation of compound expressions.

The principle is:

NOT (A AND B) is equivalent to (NOT A) OR (NOT B)

NOT (A OR B) is equivalent to (NOT A) AND (NOT B)

When the expression involves >, <, = signs, then to simplify the expression, move the not and flip the sign.

! is the symbol of negation or NOT.

Hence,

! (>) becomes <=

! (<) becomes >=

Here are some examples:

!(A > B) is equivalent to (A <= B)

!(A <= B) is equivalent to (A > B)

!(A >= B) is equivalent to (A < B)

!(A == B) is equivalent to (A != B)

!(A != B) is equivalent to (A == B)

!(A < B) is equivalent to (A >= B)

From the above list we can conclude that A >= B is equivalent to !(A < B) (option A)

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Answer:

y=8x+5

Step-by-step explanation:

m = slope

b = y-intercept

Answer:

≈51.55

Step-by-step explanation:

∆/360 πD = 7.2

x/360 *22/7*16= 7.2

x/360 *50/2/7= 7.2

x/360 = 63/440

x =51.54545455

≈51.55

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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Answer:

231

Step-by-step explanation:

The Two sets, A and B, are said to be disjoint sets if A n B=ϕ

The Two sets, A and B, are said to be disjoint sets if A n B=ϕ

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The unit rate of change in this situation is 0.25 mile per hour.

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The percentage of people with blood pressure below 133 is 78.81%.

First, we need to calculate the Z-score for the value 133 using the formula:

Z = (X - μ) / σ

where X is the value (133), μ is the mean (121), and σ is the standard deviation (15).

Z = (133 - 121) / 15

Z = 12 / 15

Z = 0.8

Next, we can use a standard normal distribution table or a calculator to find the area under the curve to the left of the Z-score 0.8.

Looking up the Z-score of 0.8 in the standard normal distribution table, we find that the area to the left of 0.8 is 0.7881.

Therefore, the percentage of people with blood pressure below 133 is 78.81%.

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The population of the group in 2019 is 2,134,000 people

Let P represent the population in thousands of people in the year t after 2011

Given the equation:

\(P=1200(2)^{0.1038t}\)

a) The population of the group in 2019, that is t = 8(2019 - 2011):

\(P=1200(2)^{0.1038*8}=2134\)

b) The population of the group in 2029, that is t = 18(2029 - 2011):

\(P=1200(2)^{0.1038*18}=4382\)

The population of the group in 2019 is 2,134,000 people

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Answer:

\(w=6p-4\)

Step-by-step explanation:

Start with:

\(-6p+w=-4\)

Add \(-6p\) to both sides of the equation.

\(w=6p-4\)

Answer:

6p-4=w

Step-by-step explanation:

-6p + w =  -4

+6p             +6p

6p-4=w

The correct pairs of the functions and their inverses are given by the image at the end of the answer.

To find the inverse function, we exchange x and y in the original function, then isolate y.

The first function that we want to find the inverse is:

f(x) = (2x - 1)/(x + 2).

Hence:

x = (2y - 1)/(y + 2)

(y + 2)x = 2y - 1

xy + 2x = 2y - 1

xy - 2y = -1 - 2x

y(x - 2) = -1 - 2x

y = (-1 - 2x)/(x - 2) (which is the inverse function).

The second function which we want to find the inverse is:

y = (x + 2)/(-2x + 1)

Then:

x = (y + 2)/(-2y + 1)

x(-2y + 1) = y + 2

-2yx + x = y + 2

-2yx - y = 2 - x

-y(2x + 1) = 2 - x

y = (x - 2)/(2x + 1)  (which is the inverse function).

The third function which we want to find the inverse is:

y = (x - 1)/(2x + 1)

Then:

x = (y - 1)/(2y + 1)

2yx + x = y - 1

2yx - y = -1 - x

y(2x - 1) = -1 - x

y = (-x - 1)/(2x - 1) (which is the inverse function).

The fourth function which we want to find the inverse is:

y = (2x + 1)/(2x - 1)

Then:

x = (2y + 1)(2y - 1)

2yx - x = 2y + 1

2yx - 2y = 1 + x

2y(x - 1) = (1 + x)

y = (x + 1)/(2(x - 1)) (which is the inverse function).

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Answer:

The simplest interest will be $15 ⇒ B

Step-by-step explanation:

The rule of the simple interest is I = Prt, where

∵ Eugene borrows $250 at a 4% annual interest rate

∴ P = 250

∴ r = 4% = 4 ÷ 100 = 0.04

∵ The time is 18 months

→ Change the time to year because the rate is annual

∵ 1 year = 12 months

∴ t = 18 ÷ 12 = 1.5 years

→ Substitute the values of P, r, and t in the rule above to find the interest

∵ I = 250 × 0.04 × 1.5

∴ I = 15

∴ The simplest interest will be $15

Based on the Pythagorean theorem, in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side. So, we can use this to find the possible values of the third side of the triangle.

The two given sides are 15 cm and 17 cm. We can label the unknown side as "x". Then, we can set up an equation:

15^2 + 17^2 = x^2

Simplifying this equation, we get:

225 + 289 = x^2

514 = x^2

x = sqrt(514)

Therefore, the possible value of the third side that would make it a right triangle is approximately 22.72 cm.

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

The three quadratic equation with different maximum and/or minimum values are y = (x-4)² – 1, y = -(x-4)² + 1, and y = -3(x-4)² + 3.

Quadratic equation:

In math, quadratic equation is the algebraic equation of the second degree in x.

The general form of quadratic equation is

ax² + bx + c = 0,

where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x² is a non-zero term(a ≠ 0).

Given,

Here we need to find the three equations for quadratics in vertex form that have roots at 3 and 5 but have different maximum and/or minimum values.

As per the definition of quadratic equation, here we have to write the quadratic equation, that have the roots of 3 and 5,

Here the problem was going to call for two equations but then we have realized that it could be as simply as multiplying the a and c values by -1. Therefore, the equation are,

=> y = (x-4)² – 1,

=> y = -(x-4)² + 1,

=> y = -3(x-4)² + 3.

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Answer:

C

Step-by-step explanation:

Volume = 0.5 * Base * Height * Length

You have to multiply by 0.5 because it is a Triangular prism

base(b) = 4.1

Height (h) = 7.2

Length (l) = 3.5

Plug in the numbers to the equation below and you get 51.66

Hope this Helps! :)

Answer: 178

Step-by-step explanation:

18x13

234 area of white granite

8x7

56 area of blue granite

234-56 to find the area of the white granite

Answer: that is imposibble

Step-by-step explanation:

Answer:

Its C

Step-by-step explanation:

first you would do the square which would be 3x3 which is 9 next you would do the rectangle which is 9x3 which is 27

9+27=36

Answer:

a=3

b=-5

c=2

Step-by-step explanation:

Because first arrange them in decreasing order by their variables powers like this 3x²-5x+2 after that take the the coefficients

Answer: 51

Step-by-step explanation: QTR is the inscribed angle, so QTR = 1/2 * QSR, so QSR = 78. QSR is an isosceles triangle, since it uses the radius of the circle twice, so QRS = (180 - 78)/2 = 51

Answer:

This spinner can be designed in 5040 ways.

Step-by-step explanation:

Number of possible arrangements:

The number of possible arrangements of n elements is given by:

\(A_{n} = n!\)

In this question:

7 colors, so:

\(A_{7} = 7! = 5040\)

This spinner can be designed in 5040 ways.