4-(x+9)-000000000000000000000000000

The system of inequalities that best represent the shaded feasible region shown on the graph is

information gotten from the question include

inequality graph showing shaded regions

some interpretation on the information from the question include

This interpretation removes the first, the second and the last options

making the third option the correct choice

other consideration is the intercept

the first equation at x= 0, x - 4y > -2,  y > 2

the second equation at x= 0, x + 2y > 4,  y > 1/2

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Answer:

2 : 1

12 : 6

30 : 15

Step-by-step explanation:

Look at the ratios one by one.  Starting with 6 : 3, we can see that it's of the form 2a : a.

2 : 1

12 : 6

30 : 15

These are all equivalent.

Answer:

-33x+2 I hope this is the answer

The correct way to measure the zone of inhibition is to place a known amount of an antimicrobial agent on a solid medium.

Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimetres (cm2), square metres (m2) or square kilometres (km2). Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.

The zone of inhibition is then measured as the area surrounding the antimicrobial agent where microbial growth has been inhibited. This area is typically measured in millimeters. To accurately measure the zone of inhibition, it is important to ensure that the size of the inoculum and the amount of antimicrobial agent used remain constant. Additionally, it is important to consider the type of organism being studied, as different organisms can have different levels of susceptibility to the antimicrobial agent. Finally, the medium used should be appropriate for the organism being studied, as different media can produce different results.

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Step-by-step explanation:

Reflection on y-axis;

J(1,1)=j'(-1,1)

K(4,3)=k'(-4,3)

L(4,6)=L'(-4,6)

M(1,6)=M'(-1,6)

GIVEN

The coordinates of the vertices of the parallelogram are given to be:

SOLUTION

Recall the formula used to calculate the angle between two vectors:

where A.B is the dot product of the vectors A and B.

The angle between vectors A and B can be calculated as follows:

Therefore:

The same pattern is followed for the other angles.

Hence, the angles are given to be:

Answer:

I am not so sure about this one.

Step-by-step explanation:

Answer: kdsl.dmcs

Step-by-step explanation:

The segment of a triangle is the median of the triangle. This is the line that join a vertex of the triangle to the opposite side of the triangle.

Answer:

Chart:

x           y

-6         11

3           5

15         -3

-12        15

Step-by-step explanation:

The only things you can plug in are the domain {-12, -6, 3, 15}

Plug in the domain into equation to find y.

-6 :

y = -2/3 (-6) +7

y = +47

y=11

(-6,11)

3:

y = -2/3 (3) +7

y = -2 +7

y = 5

(3, 5)

15:

y = -2/3 (15) +7

y =  -10 +7

y = -3

(15 , -3)

-12:

y = -2/3 (-12) +7

y = 8 + 7

y= 15

(-12,15)

Answer:

1) 11

2) 3

3) -3

4) -12

Step-by-step explanation:

eq(1):

\(y = \frac{-2}{3} x + 7\\\\y - 7 = \frac{-2}{3} x\\\\x = (y - 7)\frac{-3}{2} \\\\x = (7-y)\frac{3}{2} ---eq(2)\)

1) x = -6

sub in eq(1)

\(y = \frac{-2}{3} (-6) + 7\\\\y = \frac{12}{3} + 7\\\\y = 4+7\\\\y = 11\)

2) y = 5

sub in eq(2)

\(x = (7-5)\frac{3}{2} \\\\x = 3\)

3) x = 15

sub in eq(1)

\(y = \frac{-2}{3} 15 + 7\\\\y = \frac{-30}{3} +7\\\\y = -10 + 7\\\\y = -3\)

4)

sub in eq(2)

\(x = (7-15)\frac{3}{2} \\\\x = -8\frac{3}{2}\\ \\x = -12\)

Answer:

$1,407.10

Step-by-step explanation:

1000(1.05)^7 = 1.05^7 ≈ 1.40710 * 1000 = $1,407.10

The vertex form of \(f(x) = -3/4​x^2+6x−14 is f(x) = -3/4​(x−4)^2−64/3.\) the vertex form of \(f(x) = x² − 10x + 29 is f(x) = 1(x−5)^2+4.\)The vertex is (5, 4) and (4, -64/3).

The formula for vertex form is given as follows;\(a(x−h)2+k.\)

The vertex form of a quadratic function is given by;\(f(x) = a(x−h)^2+k.\)

To express f(x) in the form \(a(x−h)2+k\). we follow the steps below;\(f(x)=x^2−10x+29\)

Given quadratic function is written in standard form\((ax² + bx + c) = f(x).\)

Therefore, a = 1, b = −10, and c = 29. Now, to get the vertex form, we need to complete the square.

To complete the square, we can subtract and add b²/4a, which is (−10)²/(4*1) = 25 from the equation.

Doing so will not change the value of the equation, as we are adding and subtracting the same number, which is equivalent to adding zero.\(f(x) = 1(x² − 10x + 25 - 25 + 29)f(x) = 1[(x - 5)^2 + 4].\)

The vertex is (5, 4), which is represented as h = 5 and k = 4.

Therefore, the vertex form of\(f(x) = x² − 10x + 29 is f(x) = 1(x−5)^2+4\).

To express f(x) in the form \(a(x−h)2+k.\)

we follow the steps below;\(f(x)=−3/4​x^2+6x−14.\)

Given quadratic function is written in standard form\((ax² + bx + c) = f(x).\)

Therefore, a = -3/4, b = 6, and c = -14. Now, to get the vertex form, we need to complete the square.

To complete the square, we can subtract and add b²/4a, which is (6)²/(-3/2) = -24 from the equation.

Doing so will not change the value of the equation, as we are adding and subtracting the same number, which is equivalent to adding zero.\(f(x) = -3/4(x² − 8x - 24/(-3/4) + 14)f(x) = -3/4[(x - 4)^2 - 64/3].\)

The vertex is (4, -64/3), which is represented as h = 4 and k = -64/3.

Therefore, the vertex form of\(f(x) = -3/4​x^2+6x−14 is f(x) = -3/4​(x−4)^2−64/3.\)

To write a quadratic function in vertex form, we must complete the square on the function. For both the functions\(f(x) = x² − 10x + 29\) and \(f(x) = -3/4​x²+6x−14\), we followed the same steps to complete the square, and then expressed the function in the form \(a(x−h)2+k.\)

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The estimated number of households that own a dog in the town is 120 households.

To estimate the number of households that own a dog in the town with 300 households, you will need to follow these steps:

1. Collect a random sample of households from the town. The sample size should be large enough to be representative of the entire population.

2. Determine the proportion of sampled households that own a dog.

3. Multiply the proportion of dog-owning households in the sample by the total number of households in the town (300).

For example, let's say you collected data from 50 households and found that 20 of them owned a dog. The proportion of dog-owning households would be 20/50 = 0.4 (40%).

To estimate the total number of households that own a dog in the town, multiply 0.4 by 300:
0.4 * 300 = 120 households

So, the estimated number of households that own a dog in the town is 120 households.

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Answer: The one on the left.

Step-by-step explanation:

There is no file, but the panda on the left is bigger.

Answer:

x < 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-2x > -12

Step 2: Solve for x

Here we see that any value x smaller than 6 would work as a solution to the inequality.

Answer:

x < 6

Step-by-step explanation:

Hello!

We can solve inequalities the same way as we solve equations. The most important rule is that when you divide or multiply both sides by a negative number, flip the sign.

The solution set for x is all values less than 6.

Answer:

ok

Step-by-step explanation:

Answer:

4th July 1776

Step-by-step explanation:

4th July is marked as independence day

The statement "As long as N is significantly less than K, logistic growth is indistinguishable from exponential" is false. If dN/dt > 0, then N increases.

The statement "As long as N is significantly less than K, logistic growth is indistinguishable from exponential" is false. Logistic growth takes into account the carrying capacity of the environment, represented by K, which limits the growth of a population as it approaches this limit. In contrast, exponential growth assumes an unlimited supply of resources and no constraints on population growth. Therefore, as N approaches K, logistic growth begins to level off, while exponential growth continues to increase indefinitely.
If dN/dt > 0, then N increases. This means that the population size is growing at a positive rate. If dN/dt is equal to zero, then N remains stable, indicating that the population size is not changing. Finally, if dN/dt is negative, then N decreases, indicating that the population size is shrinking. Therefore, the correct answer to this question is "increases."

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The value of x when the tangents intersect is 24.

The theorem of tangent intersection states that the the measure of the angle formed by two tangents that intersect at a point outside a circle is equal to one-half the positive difference of the measures of the intercepted arcs.

Therefore, let's use the theorem to find the value of x in the circle as follows:

61 = 1 / 2 × ((10x + 1) - (5x - 1))

61 = 1 / 2 × (10x - 5x + 1 + 1)

61 = 1 / 2 × (5x + 2)

61 = 1 / 2 (5x + 2)

61 = 5 / 2 x + 1

61 - 1 = 5 / 2 x

60 = 5 / 2 x

cross multiply

5x = 120

divide both sides by 5

x = 120 / 5

x = 24

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Answer:

m<PTQ=90

m<TSR=45

PT=9

We will use the ratio method to solve the question

∵ 50 kg contains 2 x 10^2 grams of sodium chloride

∵ We need to find the amount of sodium chloride in 1.8 x 10^3 people

who weigh 50 kg

At first, we must find the weight of 1.8 x 10^3 people

Now we will use the ratio method

→ kg: gm

→ 50. : 2 x 10^2

→ 9 x 10^4 : m

→ By using cross multiplication

Divide both sides by 50 to find m

The answer is A

The questions are matched with the graphs that are labeled A-H. (

The graph has some rules for matching them to the equation some of the rules are:

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By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

WHat is Divisibility?

Divisibility is a mathematical property that describes whether one number can be divided evenly by another number without leaving a remainder. If a number is divisible by another number, it means that the division process results in a whole number without any remainder. For example, 15 is divisible by 3

To prove that 4 evenly divides 11n - 7n for any positive integer n, we can use mathematical induction.

Base Case:

When n = 1, 11n - 7n = 11(1) - 7(1) = 4, which is divisible by 4.

Inductive Step:

Assume that 4 evenly divides 11n - 7n for some positive integer k, i.e., 11k - 7k is divisible by 4.

We need to prove that 4 evenly divides 11(k+1) - 7(k+1), which is (11k + 11) - (7k + 7) = (11k - 7k) + (11 - 7) = 4k + 4.

Since 4 evenly divides 4k, and 4 evenly divides 4, it follows that 4 evenly divides 4k + 4.

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

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Answer:

-3

Step-by-step explanation:

(-3, -1), (-5, 5)

Each point is (x, y).

slope = (difference in y)/(difference in x)

slope = (-1 - 5)/(-3 - (-5)) = -6/(-3 + 5) = -6/2 = -3

The slope is -3

Answer: About 0.2 gallons

Step-by-step explanation: 4/18=0.2 repeating, so each person gets about 0.2 gallons.

Each of her friend will get 4 and a half gallons of juice.

Division is one of the four main arithmetical operations by which we find the equal distribution of something.

Given that, At Lara's party, 4 gallon of fruit punch are shared equally among 18 friend.

To find how much each of them got, we will divide total amount of punch  by total number friends

Amount of juice each of them gets, = 18/4 = 4.5

Hence,  Each of her friend will get 4 and a half gallons of juice.

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Answer:

myrna farm has 265 and the commercial farm 500

Step-by-step explanation:

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The farm that has the most fruit trees are commercial farm.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that Foster's Farms has 53 fruit trees on their land. Myrna's Farms has five times as many fruit trees as Foster's. Therefore, the number of trees on Myrna's farm is,

Number of trees on Myran's farm = 5 × Number of trees on Foster's farm

                                                       = 5 × 53

                                                       = 265 trees

Since the number of trees on Myran's farm and Foster's farm is 265 trees and 53 trees, respectively, while the number of trees on the commercial farm has 500 fruit trees.

Hence, The farm that has the most fruit trees are commercial farm.

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The solution to the inequality f(x) ≤ 0 is the interval [-6, 2]. In other words, the values of x that satisfy the inequality are those that lie between -6 and 2, inclusive.

To solve the inequality f(x) ≤ 0, we need to find the values of x for which the function f(x) is less than or equal to zero.

We start by factoring the quadratic expression f(x) = x^2 + 4x - 12:

f(x) = (x + 6)(x - 2)

Setting this expression to zero, we get:

(x + 6)(x - 2) = 0

This gives us two solutions: x = -6 and x = 2.

Now, we need to determine the sign of f(x) in the intervals between these two solutions. We can use a sign chart to do this:

x f(x)

-∞ +

-6 0

2 0

+∞ +

From the sign chart, we see that f(x) is positive for x < -6 and for x > 2, and it is negative for -6 < x < 2.

To summarize, the solution to the inequality f(x) ≤ 0 for the function f(x) = x^2 + 4x - 12 is the interval [-6, 2].

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Equilateral Triangle: All 3 sides of a Triangle are equal in length

Isosceles Triangle: Two sides of Triangle are equal in length

Scalene: Triangle has different side lengths

So, for example, when you see Q1, you estimate the length of each side and think it is Scalene Triangle because all of its sides are of different length. (You can also use a ruler to find out the side lengths if it can be used for scale)

Q2, you can say that the side lengths AC and BC look similar, so it is an Isosceles Triangle

Q6, when you look at the side lengths, you can tell it is an equilateral Triangle because all the sides are equal in length

You can try the rest and check for yourself. If you still have any doubts, you could ask me. I hope this information helps you.

The probability of getting a heart on the fourth card but not before that is 0.2278

The probability of getting a heart on the fourth card can be calculated by multiplying the probability of not getting a heart in the first three cards by the probability of getting a heart on the fourth card.

The probability of not getting a heart in the first three cards can be calculated as follows:

(39/52) * (38/51) * (37/50) = 0.862

where 39/52 is the probability of not getting a heart on the first card, 38/51 is the probability of not getting a heart on the second card (given that no heart was drawn in the first card), and 37/50 is the probability of not getting a heart on the third card (given that no heart was drawn in the first two cards).

The probability of getting a heart on the fourth card can be calculated as follows:

13/49 = 0.265

where 13/49 is the probability of getting a heart on the fourth card (given that no heart was drawn in the first three cards).

So, the probability of getting a heart on the fourth card, but not before, can be calculated as:

0.862 * 0.265 = 0.2278

So, the chance of getting a heart on the fourth card, but not before, is approximately 22.78%.

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