Find g'(x) for g(x) = 2x√x² +7

Answer:

C

Step-by-step explanation:

(f×g)x just means

f(x) × g(x)

Multiply the two given functions together. Use distributive property. To multiply terms with the same base, add the exponents.

see image.

In the probability distribution  table x=76 and p(x) is 0.3.

Here X is a random variable. P(X) is its probabilities corresponding to the different values of X.

now according to the properties of probability theory we know that sum of probabilities is 1.

so here to find the value of the probability of X corresponding to the value 76 we should use the following steps:

Probability means possibility. It is a branch of mathematics that deals with the occurrence of  random events. The value is expressed from zero to one.  The calculus of probability is introduced in mathematics to predict the probability of events occurring. Probability basically means the degree to which something is likely to happen. It is a basic theory of probability that is also used in  probability distribution, where  the probability of the result of a random experiment is studied. To determine the probability of an event, we should first know the total number of possible outcomes.

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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the formula for calculating probability

STEP 2: Find the probability of landing on a number greater than 5

STEP 3: Find the probability of landing on a number

Hence when ΔCDE is translated to ΔC'D'E', the congruency is correct  ΔDCE ≅ ΔD'C'E'

Triangle is a shape with three angles, thus when it is translated downward, it returns to its original form.

Triangle will remain unchanged after translation since the length of the sides and the measure of the angles are not altered.

Translation involves moving the same triangle to a new location while maintaining the triangle's angle and side.

therefore,

CD ≅ C'D'

CE ≅ C'E'

DE ≅ D'E'

Hence, Option (B) is correct answer.

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Answer:

B. Undefined

Step-by-step explanation:

x = 4 is a vertical line, and vertical lines are Undefined because they go straight up.

The expression when factorized is (5x + 1)(x + 1)(x - 3)

From the question, the expression is given as

5x³ - 9x² - 17x - 3

Express 9x² as 5x² - 15x²  + x²

So, we have

5x³ - 9x² - 17x - 3 = 5x³ + 5x² - 15x²  + x² - 17x - 3

Express -17x as x - 3x - 15x

So, we have

5x³ - 9x² - 17x - 3 = 5x³ + 5x² - 15x²  + x² + x - 3x - 15x  - 3

Rearrange the terms

5x³ - 9x² - 17x - 3 = 5x³ + 5x² - 15x²  - 15x  + x² + x - 3x - 15x - 3

Group the terms in 4's

5x³ - 9x² - 17x - 3 = (5x³ + 5x² - 15x²  - 15x)  + (x² + x - 3x - 15x - 3)

Factorize each group

5x³ - 9x² - 17x - 3 = 5x(x² + x - 3x - 3) + 1(x² + x - 3x - 3)

So, we have

5x³ - 9x² - 17x - 3 = (5x + 1)(x² + x - 3x - 3)

Factorize x² + x - 3x - 3

5x³ - 9x² - 17x - 3 = (5x + 1)(x(x - 3) + 1(x - 3))

So, we have

5x³ - 9x² - 17x - 3 = (5x + 1)(x + 1)(x - 3)

Hence, the factorized expression is (5x + 1)(x + 1)(x - 3)

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Answer:

The answer is 55.

Step-by-step explanation:

2/11 = 2/11 × 5/5 = 10/55

1/5 = 1/5 × 11/11 = 11/55

Answer:

55

Step-by-step explanation:

2/11 and 1/5

To find the common denominator, take 11 and multiply by 5

11*5 = 55

2/11 * 5/5 = 10/55

1/5 * 11/11 = 1/55

Answer:

The first 3 answers

Step-by-step explanation:

∠2 and ∠3 are vertical angles which means they are congruent. That would then make ∠1 and ∠4 congruent.

∠7 and ∠8 = 180 means that is a straight line.

∠4 and ∠5 are alternate interior angles which make them congruent.

That would then mean ∠3 and ∠4 = 180 which is a straight line because ∠3 would then be a corresponding angle to ∠7.

The total cost for 8 hours of work is $425.

The total cost for 10 hours of work is $525.

The total amount the plumber earns is made up of a fixed charge and a variable charge. A fixed charge is a charge that remains constant regardless of the number of hours the plumber works. The fixed charge is $25. The variable charge is the charge that increases per hours worked. The variable charge is $50 per hour.

Cost = fixed charge + variable charge

C = $25 + $50h

The total cost for 8 hours

$25 + $50(8)

$25 + $400

= $425.

The total cost for 10 hours

$25 + $50(10)

$25 + $500

$525.

Answer:

translate to eng

Step-by-step explanation:

Answer:

q = p + r + 3s

Step-by-step explanation:

q - r - 3s = p solve for q

q - r - 3s = p

add r to both sides:

q - r - 3s + r = p + r

q - 3s = p + r

add 3s to both sides:

q - 3s + 3s = p + r + 3s

q = p + r + 3s

Answer:

C' (6, 9 )

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

C (- 6, 9 ) → C' (6, 9 )

Answer:

-3+n ≥ -4n-3

Step-by-step explanation:

its good to use a number for n

if n = 5

-3+n ≥ -4n-3 or 3n-4≥4n + 1

for

-3+n ≥ -4n-3

-3+5 ≥ -4(5)-3

-2 ≥ -20-3

-2 ≥ -23

true

for

3n-4≥4n + 1

3(5)-4≥4(5) + 1

15-4≥20 + 1

11 ≥20 + 1

11 ≥21

not true

Answer:

Step-by-step explanation:

We will follow the same steps as in the previous question. First, we can start by leaving the variable [tex]y[/tex] alone.

In this step, let's be careful to give the variable [tex]x[/tex] odd numbers. The rational expression will then be an integer.

Finally, connect these three points. You can see the connected version in the photo. Good luck!

Answer:

23

Step-by-step explanation:

f(3) = f(2) + f(1) = 5 + 4 = 9

f(4) = f(3) + f(2) = 9 + 5 = 14

f(5) = f(4) + f(3) = 14 + 9 = 23

Answer:

substituting n by 5 gives;

f(5)=(5-1)+(5-2)=7

Answer: 18.1 cm, ( i think you can use a ruler)

Step-by-step explanation:

If the price of apples are proportional, the value of p is $6.75.

If the relationship between the price of apples and the number of apples bought are proportional, it means that as the number of apples bought increases, the price paid would increase.

The function that represents the cost of purchasing apples is:

Total cost = cost per apple x number of apples bought

$4.50 = 6c

c = $4.50 / 6

c = $0.75

The price of 9 apples is p

p = 9 x $0.95

p = $6.75

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A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. price of 9 apples is $6.75.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

We need to find the value of p.

For 6 Apples the price is $4.5

We need to find for 9 apples.

For 9 apples the price is p, which we have to find

Let us form a equation to find it.

6/4.50=9/p

Apply cross multiplication

6p=4.5(9)

6p=40.5

Divide both sides by 6

p=6.75

Hence price of 9 apples is $6.75.

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Answer: 6 5/12

Step-by-step explanation: You could do 3x4 = 12

so, 2x4 = 8, also 3x3 = 9 which would be 4 8/12 + 1 9/12, then just add.

Answer:

6 5/12

Step-by-step explanation:

We can first begin by separating the whole number and the fraction:
4 + 2/3 + 1 + 3/4

After reordering, it becomes:

4 + 1 + 2/3 + 3/4
5 + 2/3 + 3/4

Now, we must find the common denominator for the fractions so that we may add them:
The common denominator is 12.
5 + 2(4)/3(4) + 3(3)/4(3)

5 + 8/12 + 9/12

5 + 17/12

Simplifying the improper fraction gives us:

5 + 1 + 5/12

And the final answer is:

6 + 5/12

6 5/12

Hope this helped!

40 quarts

Explanation

to figure out this we need to know the equivalence

therefore, to convert gal into quarts jus multyply by 4

so

so, the answer is

40 quarts

I hope this helps you

The rational equation is simplified to  x² - 17x = 0

An algebraic expression can simply be defined as an expression composed of factors, variables, terms, coefficients and constants.

These expression are also described as expressions consisting of arithmetic operations such as;

Given the expression;

1/2 - 7/2x = 5/x

find the lowest common multiple

x - 7 /2x = 5/ x

cross multiply

x(x - 7) = 5(2x)

multiply through

x² - 7x = 10x

collect like terms

x² = 10x + 7x

x² - 17x = 0

Hence, the equation is x² - 17x = 0

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Answer: I am guessing that you want to know what x and y equals

​

The constant of proportionality between the amount of tomatoes he orders (in pounds), and their cost (in dollars) is: 4 dollars per pound

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

pounds , dollars

Calculating the proportion of the amount of tomatoes he orders and their cost we get:

Proportion dollars per pound = Dollars / pound

Proportion dollars per pound = $88/ 22 pounds = 4 $/pound

Proportion dollars per pound = $92/ 23 pounds = 4 $/pound

Proportion dollars per pound = $96/ 24 pounds = 4 $/pound

Proportion dollars per pound = $100/ 25pounds = 4 $/pound

As we could get the constant of proportionality is 4 $/pound

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

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Answer:

In both cases we get the same answer: the sum of the first 100 positive even numbers is 10,100.

Step-by-step explanation:

2 + 4 + 6 + 8 + ....+ 198 + 200 =

= (2 + 200) + (4 + 1998) + ... + (100 + 102) = 50*202 = 10,100

The unit price in dollars per ounce is 0.5 dollars per ounce.

According to the question,

We have the following information:

Debra makes 26.40 dollars from selling 52.8 ounces of lemonade.

Now, to convert this into dollars per ounce, we will divide the total amount by the number of ounces of lemonade:

Dollars per ounce = 26.40/52.8

Dollars per ounce of lemonade = 0.5

Now, we can also convert this into cent.

We know that 100 cent make 1 dollar.

So, 0.5 cents will make (0.5*100) cents or in other words, 50 cents.

Now, it will be 50 cents per ounce.

Hence, the units price of lemonade in dollar per ounce is 0.5.

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Since the area decreases the same percent each year, we will use the exponential function of decay to solve the question

Where:

a is the initial value

b is the factor of decay

y is the new value

x is the time

Let us find the answer using the calculator

Round it to the nearest square km means a nearest whole number

y = 1564 km^2

The final amount is 1564 square kilometers

The probability of winning the game is 1/11.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood of a particular event happening.

Given:

If we win the first time on the 11th game played.

So, we can consider the total is 11.

So, the  probability of winning the game

= 1/11

Hence, the probability of winning the game is 1/11.

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The equation of the line perpendicular to 4x + 4y =32 that passes through the point (7,1) is  x - y = 6 .

In the question ,

it is given that

the required line is perpendicular to 4x + 4y =32

the slope of 4x + 4y =32

4y = -4x + 32

y = -x + 8

slope = -1

so the slope of the perpendicular line [tex]=[/tex] 1   .

the equation of the perpendicular line passing through (7,1) and slope as 1  is

(y - 1) [tex]=[/tex] 1 (x - 7)

y-1 = x-7

x - y = 7-1

x - y = 6

Therefore , The equation of the line perpendicular to 4x + 4y =32 that passes through the point (7,1) is  x - y = 6 .

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Answer

Angle NOL = 70°

Explanation

Alternate angles are angles that are in opposite positions relative to a transversal intersecting two lines. If the two lines are parallel to each other, then alternate angles are equal.

We can see that Angle MLO and Angle NOL are alternate angles.

And since we have been told that KM and NP are parallel lines,

Angle NOL = Angle MLO = 70°

Hope this Helps!!!

Answer:

If breadth means width then it will be 12.5