if f(x) = 2X -5 and g(x)=x^2-8 find (f+g)(x)

Answer: 3/2

Step-by-step explanation: just believe me

The value of the dilation factor is 3/2 after a dilation centered at the origin, and the image of the CD is C'D' option first is correct.

The transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.

We have CD after dilated from centered it becomes C'D'

Let m be the dilation factor:

Then,

6m = 9     ⇒  m = 3/2

-4m - -6    ⇒  m = 3/2

2m = 3      ⇒  m = 3/2

-8m = -12  ⇒   m = 3/2

Thus, the value of the dilation factor is 3/2 after a dilation centered at the origin, and the image of the CD is C'D'. If the coordinates of the endpoints of these segments are C(6,-4), D(2,-8), C'(9,-6), and D'(3.-12)

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Since y_1(0) = 1, it satisfies the initial condition. However, y_2(0) = 0 does not satisfy the initial condition, as it should be y(0) = 1. Therefore, only y_1(t) is a solution of the initial value problem.

To verify that both y_1(t) = 1 - t and y_2(t) = -t^2/4 are solutions of the initial value problem, we first need to understand what the problem is. An initial value problem is a differential equation that includes an initial condition. In this case, we can assume that the initial condition is y(0) = 1.
Now, let's substitute both y_1(t) and y_2(t) into the differential equation and see if they satisfy the initial condition. The differential equation is not provided, but assuming it is y'(t) = -t/2, we have:
y_1'(t) = -1
y_2'(t) = -t/2
Substituting y_1(t) and y_2(t) into the differential equation gives:
y_1'(t) = -1

= -t/2 (when t = 2)
y_2'(t) = -t/2

= -t/2 (for all t)
Thus, both y_1(t) and y_2(t) satisfy the differential equation. Now, let's check if they satisfy the initial condition.
y_1(0) = 1 - 0

= 1
y_2(0) = -0^2/4

= 0
In conclusion, y_1(t) = 1 - t is the only solution that satisfies the differential equation and initial condition, while y_2(t) = -t^2/4 is not a solution since it does not satisfy the initial condition.

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answer :

A. y = – 4x + 5

Step-by-step explanation:

make y = 4x-5 equal to each of the answer choices and see if you get an answer

STEPS:

1.

make 4x - y = 5 into a y= equation

4x - y = 5 is  y = 4x-5

2.

then make y = 4x-5 equal to each of the answer choices and see if you get an answer

A.

4x-5 = -4x+5

8x = 10

x = 10/8 = 5/4

yes, it has one solution

its also an intersecting line because

one line has 4x and the other has -4x

4x and -4x are slopes and opposite signs so

the lines are intersecting

B.

4x-5 = 4x-5

since they are the same on both sides of the equal sign they have

infinite solutions

they are also both the same line

C.

2y=8x-10 when simplified is y=4x-5

so its just like choice B

they are also both the same line

4x-5 = 4x-5 which is

0 = 0

since they are the same on both sides of the equal sign

infinite solutions

they are also both the same line

D.

-2y=-8x-10 when simplified is y=4x+5

4x-5 = 4x+5 when you work it out you get the answer

0 = 5

since when you solve the equation and get 0 = 5

that means its there is no solution

its also parallel line because both lines have 4x as a slope

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Answer:

$1.89 per pound

Step-by-step explanation:

$7.56÷4

The point at which three or more lines intersect is the point of:
C. Concurrency

Equality: the relationship between expressions that represent the same value or mathematical object

Tangency: he state of being tangent; having contact at a single point or along a line without crossing. type of: contact. the state or condition of touching or of being in immediate proximity. (electronics) a junction where things (as two electrical conductors) touch or are in physical contact.

Concurrency: When two or more lines pass through a single point, in a plane, they are concurrent with each other and are called concurrent lines. A point that is common to all those lines is called the point of concurrency. This property of concurrency can also be seen in the case of triangles.

Parallelism: n geometry, parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet. They can be both horizontal and vertical.

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The linear correlation coefficient is approximately 0.173.

To find the linear correlation coefficient (also known as Pearson's correlation coefficient) for the given data set, you can use the following formula:

r = [nΣ(xy) - (Σx)(Σy)] / sqrt{ [nΣ(x²) - (Σx)²] [nΣ(y²) - (Σy)²] }

Where:

n is the number of data points,

Σ represents the sum of the values,

Σ(xy) is the sum of the products of x and y,

Σ(x²) is the sum of the squared x values,

Σ(y²) is the sum of the squared y values.

Let's calculate the correlation coefficient step by step:

n = 5

Σx = 4 + 5 + 16 + 14 + 8 = 47

Σy = 15 + 29 + 15 + 25 + 27 = 111

Σ(xy) = (415) + (529) + (1615) + (1425) + (8*27) = 1258

Σ(x²) = (4²) + (5²) + (16²) + (14²) + (8²) = 401

Σ(y²) = (15²) + (29²) + (15²) + (25²) + (27²) = 2826

Now, substituting the values into the formula:

r = [5 * 1258 - (47 * 111)] / sqrt{ [5 * 401 - (47²)] * [5 * 2826 - (111²)] }

r = (6290 - 5217) / sqrt{ (2005 - 2209) * (14130 - 12321) }

r = 1073 / sqrt{ (-204) * (1819) }

r = 1073 / sqrt{ -371276 }

Therefore, the linear correlation coefficient is approximately 0.173.

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t = 43

My reasoning is that I just did this and if you were to times 4 x 9 you would get minus ce tre avergae t pens

Answer: here 11454

Step-by-step explanation:

3y + 2x = 44 is the equation of the line through (10, 8) and (4, 12).

A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.

Given, two coordinates of a line \(\left(10,8\right) and \left(4,12\right)\)

The slope of the line formula is:

\(m = \frac{y₂ - y₁}{ x₂ - x₁}\)

Let's substitute our numbers.

\(m = -\frac{8 -12}{4-10}\)  =  -4/6

The GCF of these two numbers is 2

So, our slope  =  -2/3

The general equation of a line is y = mx +c

Therefore the equation of the line is y = -2/3x + c

Since, this line passes through ( 10, 8 )

Hence, it must satisfy these coordinates

8 = -2/3 * 10 + c

44/3 = c

Thus the equation of the line is y = -2/3x +44/3

the equation of the line is 3y + 2x = 44.

Therefore, The equation of the line that passes through (10, 8) and (4, 12) is 3y + 2x = 44.

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Answer:

11 times

Step-by-step explanation:

hope this helps

Answer:

11.

Step-by-step explanation:

10 x 10 = 100

10 x 11 = 110

10 x 12 = 120 which is too much so its the one above.

Answer:

uh I don't even know what this is

Answer: x = 500

Step-by-step explanation:

Use the Pythagorean Theorem

a²+b²=c²

300² + 400² = x²

90000 + 160000 = x²

250000 = x²

√250000 = √x²

500 = x

hope i explained it :)

Answer:

C is your y intercept 3.99b is your slope

Step-by-step explanation:

Answer:

x = 22

Step-by-step explanation:

(6x - 36) and 96° are alternate exterior angles and are congruent , so

6x - 36 = 96 ( add 36 to both sides )

6x = 132 ( divide both sides by 6 )

x = 22

The mean, variance, and standard deviation for the probability distribution X -5 3 9 11  P(X) 0.598 0.122 0.213 are 0.067Mean ≈ 0.03, Variance ≈ 47.36, Standard Deviation ≈ 6.88, respectively.


The mean, variance, and standard deviation for the given probability distribution can be calculated as follows:
A. Mean:
Mean = Σ(X * P(X))
Mean = (-5 * 0.598) + (3 * 0.122) + (9 * 0.213) + (11 * 0.067)
Mean = -2.99 + 0.366 + 1.917 + 0.737
Mean ≈ 0.03
B. Variance:
Variance = Σ((X – Mean)^2 * P(X))
Variance = [(-5 – 0.03)^2 * 0.598] + [(3 – 0.03)^2 * 0.122] + [(9 – 0.03)^2 * 0.213] + [(11 – 0.03)^2 * 0.067]
Variance = [(-5.03)^2 * 0.598] + (2.97)^2 * 0.122 + (8.97)^2 * 0.213 + (10.97)^2 * 0.067
Variance ≈ 47.36
C. Standard Deviation:
Standard Deviation = √Variance
Standard Deviation ≈ √47.36
Standard Deviation ≈ 6.88

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Answer:

$3.15

Step-by-step explanation:

Method 1:

4 oranges = 1.40

9 oranges = x

1.40 / 4 = 0.35

This is 0.35 per orange

0.35 x 9 = 3.15

$3.15

Method 2:

1.40/4 = x/9

12.6 = 4x       (cross multiply 9 and 1.4 and cross multiply 4 and x)

x = 12.6 / 4

x = 3.15

$3.15

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

$73.25

Step-by-step explanation:

35 + 2.55(15) = 38.25 + 35 = 73.25

Based on the previous test scores, the conclusion is that you cannot enter the competition

The given parameters are

Previous test score = 91, 84, 76, 85

Worth of each test = 100

Goal = At least 440

Add up the previous test scores

So, we have:

Previous test score = 91 + 84+76+ 85

Evaluate the sum

So, we have

Previous test score = 336

Let the possible test score in the last test be x

So, we have the following equation

x + Previous test score = Goal

This gives

x + 336 = At least 440

Express as inequality

x + 336 >= 440

Evaluate the like terms

x >= 104

The highest score of a test is 100.

This means that you cannot score 104 in the last test

Hence, the conclusion is that you cannot enter the competition

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1 gram is equal to 1,000,000 micrograms.

Micrograms (µg) are a unit of measurement of mass in the metric system and are part of the International System of Units (SI). They are used to measure small amounts of mass, such as that of drugs, vitamins and other nutrients. Micrograms are one millionth of a gram, and one thousandth of a milligram.

It is often used in the medical and scientific field where precise measurements are needed.

To convert grams to micrograms, you multiply the number of grams by 1,000,000. To convert micrograms to grams, you divide the number of micrograms by 1,000,000.

It is important to be careful when working with micrograms because it is a very small unit of measurement. It is important to use a precise scale when measuring micrograms and to be aware of the significant digits when recording or reporting measurements.

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Answer:

It is rounded

Step-by-step explanation:

Answer:

It is already rounded up, unless you have forgotten the decimal point.

Step-by-step explanation:

Using the distributive property 4 (3 + 4x - 2y) is equal to (12 + 16x - 8y).

The distributive property of multiplication is one of the mathematical properties.

The distributive property states that multiplying a factor by the sum of two or more numbers or addends will yield the same result as multiplying each number separately by the same factor and adding the products together.

The implication of the distributive property is that 4 (3 + 4x - 2y) is of equal value as (12 + 16x - 8y).

4 (3 + 4x - 2y)

= (3 x 4) + (4x x 4) - (2y x 4)

= (12 + 16x - 8y)

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Answer:omak sus

Step-by-step explanation:

The solution is, the side lengths that are possible are from 6 to 30. as, The inequality is, 6 ≤  x ≤ 30.

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

given that,

Natasha wants to plant a square garden and enclose it with a fence.

She has 120 feet of fencing available

and she wants the sides of her garden to be at least 6 feet long.

now, we have to Write and solve the inequality that describes the side lengths that are possible,

so, we have,

the garden is square, so, perimeter = 4 * side length

now. let, the length of side = x

we get,

perimeter = 4x = y

so, we get,

x ≥ 6 ......(1)

and, y ≤ 120

i.e. 4x ≤ 120

or, x ≤ 30 .....(2)

so, from 1 & 2 we get,

The inequality is, 6 ≤  x ≤ 30

Hence, The solution is, the side lengths that are possible are from 6 to 30. as, The inequality is, 6 ≤  x ≤ 30.

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Answer:

£2,120.00

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year.

Solving our equation:

A = 2000(1 + (0.03 × 2)) = 2120

A = $2,120.00

The total amount accrued, principal plus interest, from simple interest on a principal of £2,000.00 at a rate of 3% per year for 2 years is £2,120.00.

Answer:

140, 141

Step-by-step explanation:

Guess and check would work pretty good on this question. But let's use algebra to solve this problem.

The left page number we don't know, so let's call it x.

The next page is the next number in a row (consecutive), so it will be x+1.

The sum is 281.

x + x + 1 = 281

combine like terms.

2x + 1 = 281

Subtract one from both sides.

2x = 280

divide both sides by 2.

2x/2 = 280/2

x = 140



140 is the number on the left page. 141 is the number on the right page.

140 + 141 = 281

The page numbers are 140 and 141.

According to the question we have our assumption must be false and there are indeed infinitely many primes of the form 4k+3.

To prove that there are infinitely many primes of the form 4k+3, where k is a nonnegative integer, we can use a proof by contradiction. Assume that there are only finitely many primes of this form, say p1, p2, p3, ..., pn.

Consider the number N = 4(p1p2p3...pn) - 1. This number is of the form 4k+3, since the product of primes is also of this form.

Now, any prime factor of N must also be of the form 4k+3, since any prime factor of N cannot be 2 (since N is odd) and it cannot be of the form 4k+1 (since N leaves a remainder of 3 when divided by 4).

However, this contradicts our assumption that p1, p2, p3, ..., pn are the only primes of the form 4k+3, since N is a prime greater than pn and is also of this form.

Therefore, our assumption must be false and there are indeed infinitely many primes of the form 4k+3.

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Answer:

51

Step-by-step explanation:

4*12=48

48+3=51

one foot = 12 inches

Samantha's height in inches is 51 inches.

To find Samantha's height in inches, we need to convert her height from feet and inches to inches. We know that 1 foot is equal to 12 inches. Therefore, we can convert her height in feet and inches to inches using the following steps:

Step 1: Convert her height in feet to inches. Samantha is 4 feet tall, so her height in inches due to feet is 4 * 12 = 48 inches.

Step 2: Add the additional height in inches. Samantha is also 3 inches tall, so we add 3 inches to the previous result.

48 inches (from feet) + 3 inches = 51 inches

Samantha's height is 51 inches.

In conclusion, Samantha's height in inches is 51 inches.

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The general solution of the given second-order linear ordinary differential equation is y = (c1 + c2x)e^(5x) + 22/25, where c1 and c2 are arbitrary constants.

The given differential equation is y'' - 10y' + 25y = 22. To find the general solution, we first need to find the complementary function by solving the associated homogeneous equation, which is y'' - 10y' + 25y = 0.

Assuming a solution of the form y = e^(rx), we substitute it into the homogeneous equation and obtain the characteristic equation r^2 - 10r + 25 = 0. Solving this quadratic equation, we find that r = 5 is a repeated root.

Therefore, the complementary function is of the form y_c = (c1 + c2x)e^(5x), where c1 and c2 are arbitrary constants.

Next, we find a particular solution for the non-homogeneous equation y'' - 10y' + 25y = 22. Since the right-hand side is a constant, we can assume a constant solution y_p = a.

Substituting y_p = a into the differential equation, we find that 25a = 22, which gives a = 22/25.

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Answer:

answer is option C y= 4x +4

Siddharth and Alek's new restaurant, located near the UW campus, is experiencing great success.

Despite being takeout-only, the restaurant is able to accept orders through multiple food delivery apps, including UberEats, DoorDash, Fantuan, and more. The restaurant utilizes a total of k apps, each having its own queue of customers.

The restaurant's decision to accept orders through various food delivery apps allows them to reach a wider customer base and cater to the preferences of different users.

By partnering with multiple platforms like UberEats, DoorDash, and Fantuan, the restaurant can tap into their respective user bases and leverage their delivery infrastructure. Each of these apps likely operates independently, maintaining their own queues of customers and managing orders received through their platform.

By utilizing k total apps, the restaurant can efficiently handle a large volume of orders and effectively serve its customers while benefiting from the popularity and reach of multiple delivery platforms.

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The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.

Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.

However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.

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