f(x)=2x+3 g(x)=x-4 Find (fg)(x) (Hint use FOIL)

Answer:

D.

Step-by-step explanation:

x + 6 ≤ 8

subtract 6 on both sides.

x ≤ 2

Option D is the correct answer.

Step-by-step explanation:

In this equation, given

f(x) = 3x + 9 and g(x) = 5x -1

So the question is what is the value of f if we put the value of g(x) in f(x)

So to solve the equation we need to replace the value of x in f(x) with g(x)

So it was obtained as below

f(g(x)) = 3(5x-1) + 9

= (15 x - 3) + 9

= 15 x + 6

Answer:

you find the gcf/ greatest common factor of both numbers which is 6, so 6 plastic containers

Step-by-step explanation:

Determine the distance covered by a car traveling 80 km/h for each unit and time given. The answer should be in meter in one hour.

What is a kilometer?

1,000 meters is one metric unit of measurement (approximately 0.62 miles).

The car is travelling at the speed of 80 kilometers per hour.

One hour is  60 minutes.

So car will travel in ideal conditions 80 kilometers in one hour which is 60 minutes.

So just convert the kilometers into meters.

1 kilometer = 1000 meters,

Thus,

80 kilometers = 80,000 meters.

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Answer:

is there any thing else in that question

Answer:

1.03309 × 10^4

Step-by-step explanation:

First, move the decimal 4 times to the left in the number. This is so that m = 1.03309 is greater than or equal to 1 but less than 10.

Then, since the decimal was moved to the left,  the exponent n is positive

n = 4

Write in the scientific notation form, m × 10n

= 1.03309 × 10^4

Hope this helps you out!

Answer:

7 1/2

Step-by-step explanation:

Let's add the whole numbers first, 3 + 4 = 7

Then, we add the fraction, and since the denominator is the same, there's no need for a change, so we just add the top. 1/8 + 3/8 is 4/8, which can be simplified to 1/2

so answer is 7 1/2

Answer:

z = <21, 24, -27>

Hope this helps!

Step-by-step explanation:

z = 3(10) - 2(4) + (-1) = 21

z = 3(5) - 2(-3) + (3) = 24

z = 3(-10) - 2(-1) + (1) = -27

z = <21, 24, -27>

a. Yes, there is a BST B and a query value X such that the search for X in B visits the following sequence of key values in the given order.

b. No, there is no BST B and a query value X such that the search for X in B visits the following sequence of key values in the given order.

c. Yes, there is a BST t and a query value x such that the search for x in t visits the following sequence of key values in the given order.

A binary search tree (BST) is a data structure used to store a set of elements in a way that allows efficient search, insertion, and deletion operations.

It is a binary tree in which each node has at most two children, called left and right children.

Here the values are 11, 41, 71, 101, 141 The given questions can be answered as follows

(a) Yes, it is possible to construct a BST where the search for x visits the sequence of key values 11, 41, 71, 101, 141.

(b) No, it is not possible to construct a BST where the search for x visits the sequence of key values 101, 141, 41, 11.

This is because in BST, the values to the left of a node are always smaller than the node's values, and the values to the right are always larger.

Therefore, if the search reaches a node with a value greater than the value of the query, it will never be reached

revisit nodes with smaller values.

(c) Yes, it is possible to construct a BST where the search for x visits the key value 1 sequence. The tree would consist of a single node with a key value of 1.

Therefore

a. Yes, there is a BST B and a query value X, so a search for X from B visits the next sequence of key values in the given order.

b. No, there is no BST B and a query value of X, so a lookup of X from B visits the next sequence of key values in the given order. c. Yes, there is a BST t and a query value x, so a search for x from t visits the next sequence of key values in the given order.

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Answer:

d

Step-by-step explanation:

Answer:

y int.=5

slope=-7/4

Step-by-step explanation:

-7x-4y=-20

+7x       +7x

-4y=7x-20

/-4 /-4 /-4

y=-7/4x+5

The lines L1 and L2 are perpendicular to each other.

To determine whether the given lines are perpendicular or not, we need to check if their slopes are negative reciprocals of each other.

Slope of L1 = (y2 - y1) / (x2 - x1)

where (x1, y1) = (-4, 1)       and

        (x2, y2) = (8, 5)

Slope of L1 = (5 - 1) / (8 - (-4))

                  = 4/12

                  = 1/3

Now,

Slope of L2 = (y2 - y1) / (x2 - x1)

where (x1, y1) = (1, 3)    and

          (x2, y2) = (3, -3)

Slope of L2 = (-3 - 3) / (3 - 1)

                   = -6/2

                   = -3

Check if the slopes are negative reciprocals of each other. The slopes of L1 and L2 are 1/3 and -3 respectively.

The product of the slopes = (1/3) × (-3) = -1

Since the product of the slopes is -1, the lines are perpendicular to each other. Therefore, the lines L1 and L2 are perpendicular to each other.

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Answer:

1/5 + 3/5 = 45 = 0.8

Step-by-step explanation:

Spelled result in words is four fifths.

(a) In the case where A is the set of all words of English and R is defined by the alphabetical order, R is a partial order on A. This is because R meets the criteria for a partial order: reflexivity, antisymmetry, and transitivity.

However, R is not a total order, as some words may not be directly comparable, such as words starting with the same letter.

(b) When A is the set of all words of English and R is defined by the first letter's alphabetical order, R is again a partial order on A.

It meets the same criteria as mentioned before: reflexivity, antisymmetry, and transitivity. But it is not a total order, as words with the same first letter cannot be compared based on this relation.

(c) For A being the set of all countries and R defined by population, R is a partial order on A. The criteria for reflexivity, antisymmetry, and transitivity are met as well.

However, R is not a total order since countries with the same population size cannot be compared.

In summary, all three cases exhibit partial orders on A, but none of them represent total orders.

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Patrick’s August finance charge will be $0.6717 more if it is calculated using the previous balance method.

Previous balance method: Interest charges are based on the amount owed at the beginning of the previous month's billing cycle.

Adjusted balance method: Based on finance charges on the amount(s) owed at the end of the current billing cycle after credits and payments have been posted.

The total amount on which interest will be applied using the previous balance method is;

\(= 1,466.22+28.48+40.00+31.76\\\\ = 1566.46\)

So, interest levied on this is;

\(= 1566.46 \times 15.40 \times \dfrac{30}{360} \times \dfrac{1}{100}\\\\=20.10\)

Now, the total amount on which interest will be applied using the adjusted balance method is;

\(= 1566.46-150.00-115.75\\\\=1300.71\)

So, interest levied on this is;

\(= 1300.71 \times 15.40 \times \dfrac{30}{360} \times \dfrac{1}{100}\\\\=16.69\)

The difference between charges by previous balance method and adjusted balance method is;

= 20.10 - 16.69 = 3.41

Hence, Patrick’s August finance charge will be $0.6717 more if it is calculated using the previous balance method.

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Answer:

------------------------

We have a repeating decimal 4.6(1).

Let's express it as a GP:

Fund the sum of infinite GP, with the first term of a = 0.01 and common ratio of r = 0.1:

Add 4.6 to the sum:

Hence the fraction is 4 11/18.

Answer:

i'm pretty sure it's 67,78,92

Step-by-step explanation:

Hope this helps!

The correct answer is option B which is the lower quartile, median, and upper quartile are 67,78,92 respectively.

A rectangle is created to represent the second and third quartiles, normally with a vertical line inside to indicate the median value, in a simple way of presenting statistical data on a plot.

As we can see in the given image the lower vertical line is lying at the point of 67 the middle line is lying at 78 and the higher vertical line is lying at 92.

Therefore the correct answer is option B which is the lower quartile, median, and upper quartile are 67,78,92 respectively.

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Answer:

23.56 length units

Step-by-step explanation:

To calculate the perimeter of a triangle, we need to calculate the length of all the sides, then sum up the lengths.

To calculate each side, we take the differences of the coordinates of consecutive vertices, square, add, and take square-root (Pythagoras theorem).

Side 1: (3,-2), (5, -8)

difference in coordinates=(2,-6), length=sqrt(2^2+6^2) = sqrt(40)

Side 2: (5, -8), (-2,1)

difference in coordinates=(7,-9), length=sqrt(7^2+9^2) = sqrt(130)

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

difference in coordinates=(5,-3), length=sqrt(5^2+3^2) = sqrt(34)

Perimeter

= sum of sides

= sqrt(40)+sqrt(130)+sqrt(34)

= 6.32+11.40+5.83

= 23.56 approximately

Answer:

I think its 60x?

Step-by-step explanation:

Answer:

Expanded form - (0×1+9×1/10+1×1/100+5×1/1000) miles per minute.

(a) the percent of those  who have a dog also have a cat is  40% .

(b) the percent of those who have a cat also have a dog is  60% .

In the question ,

it is given that ,

the percent of children who have a dog = 45% ,

the percent of children having cat = 30%

the percent of children having dog and cat = 18% ,

Part(a)

the percent of children that have a dog also have a cat is

= (number of children that have dog and cat)/(number of children having dog)

= 18/45

= 0.4 = 40% .

Part(b)

the percent of children that have a cat also have a dog is

= (number of children that have dog and cat)/(number of children having cat)

= 18/30

= 0.6 = 60% .

Therefore , the required percent for part(a) is 40% and part(b) is 60% .

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Answer:

2

Step-by-step explanation:

-3 + 5 is 2

So where there is an equal sign but no number there is supposed to be a 2.

HOPE THIS HELPED

HAVE A GREAT DAY/NIGHT :)

Answer:

3

Step-by-step explanation:

-3 + 5 = 2

5 + -4 = 1

-2 + -1 = 3

The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.

To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:

We have:

Point: (0, 1)

Slope: 5xy

We can start by integrating the slope function to find the equation of the curve:

∫(dy/dx) dx = ∫(5xy) dx

Integrating both sides:

∫dy = ∫(5xy) dx

Integrating with respect to y on the left side gives us:

y = ∫(5xy) dx

To solve this integral, we treat y as a constant and integrate with respect to x:

y = 5∫(xy) dx

Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:

y = 5 * (1/2) * x^2y + C

Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:

1 = 5 * (1/2) * (0)^2 * 1 + C

1 = C

Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:

y = 5 * (1/2) * x^2y + 1

Simplifying further, we have:

y = (5/2) * x^2y + 1

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Multiply the upper system by -4:

\( - 7x - 5y = - 11\)

\(7x + 5y = 7\)

\(0 = - 3\)

\(this \: system \: admits \: no \: solutions\)

The equation of the tangent line to the curve y = ln(x^2 - 5x + 1) at the point (5,0) is y = 0.

To find the equation of the tangent line to the curve y = ln(x^2 - 5x + 1) at the point (5,0), we need to find the slope of the tangent line at that point.

The derivative of y = ln(x^2 - 5x + 1) is:

y' = (2x - 5)/(x^2 - 5x + 1)

At the point (5,0), we have:

y' = (2(5) - 5)/(5^2 - 5(5) + 1) = 0

So the slope of the tangent line at (5,0) is 0.

The equation of the tangent line can be written as:

y - y1 = m(x - x1)

where (x1, y1) is the point of tangency and m is the slope.

Since the slope is 0, we have:

y - 0 = 0(x - 5)

which simplifies to:

y = 0

Therefore, the equation of the tangent line to the curve y = ln(x^2 - 5x + 1) at the point (5,0) is y = 0.

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In a two-player game with one player having four available strategies and the other player having three available strategies, there can be a total of twelve outcomes. This is determined by the four strategies available to the first player multiplied by the three strategies available to the second player.

YEETTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT I FEEL BAD BUT

Part A: Therefore, the cake weighs 112 ounces. Part B: Therefore, after 20 seconds, the tap will dispense 20 seconds × 1.2 pints/second = 24 pints of water.

Part A:

To convert pounds to ounces, we can use the conversion factor: 1 pound = 16 ounces.

Given that the cake weighs 3 (4/1) pounds, we can calculate the weight in ounces as follows:

3 4/1 pounds = 3 pounds + 4/1 pounds = 3 pounds + 4 pounds = 7 pounds

Converting 7 pounds to ounces: 7 pounds × 16 ounces/pound = 112 ounces

Therefore, the cake weighs 112 ounces.

Part B:

To convert gallons to pints, we can use the conversion factors: 1 gallon = 4 quarts and 1 quart = 2 pints.

Given that the running tap dispenses 0.15 gallons of water every second, we can calculate the amount of water dispensed in pints as follows:

0.15 gallons × 4 quarts/gallon × 2 pints/quart = 0.15 × 4 × 2 = 1.2 pints

Therefore, after 20 seconds, the tap will dispense 20 seconds × 1.2 pints/second = 24 pints of water.

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The interest earned in a savings account after 12 months on a balance of $1000, with an interest rate of 1.5% APY compounded yearly, is $15.00.

A savings account is a type of bank deposit account that typically pays interest and allows customers to access their funds at any time. Savings accounts are a safe, convenient way to store money, and they offer a variety of benefits, including allowing customers to earn interest on their deposits, access their funds quickly and securely, and take advantage of certain tax benefits.

This is calculated by multiplying the principal balance ($1000) by the interest rate (1.5%) and then multiplying by the number of years (12). Therefore, the interest earned is calculated as follows:
$1000 x 1.5% x 12 = $15.00.

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