Select one of the factors of 3x2 + 4x − 4.

(x + 4)
(3x + 2)
(3x − 2)
(x − 2)

Answer: a

Step-by-step explanation:

First term

[tex]\int \sqrt{10x-15} \mathrm{dx}[/tex]

We can use the substitution u=10x-15, meaning dx = 1/10 du.

[tex]=\frac{1}{10} \int \sqrt{u} \mathrm{du}\\\\=\frac{1}{15}u^{3/2}+C\\\\=\frac{1}{15}(10x-15)^{3/2}+C[/tex]

Second term

[tex]\int (10x-15)^{10} \mathrm{dx}[/tex]

We can use the substitution u=10x-15, meaning dx = 1/10 du.

[tex]=\frac{1}{10} \int u^{10} \mathrm{du}\\\\=\frac{1}{110} u^{11}+C\\ \\ =\frac{1}{110}(10x-15)^{11}+C[/tex]

Third term

[tex]\int \frac{1}{10x-15} \mathrm{dx}[/tex]

We can use the substitution u=10x-15, meaning dx = 1/10 du.

[tex]=\frac{1}{10} \int \frac{1}{u} \mathrm{du}\\\\=\frac{1}{10} \ln u+C\\\\=\frac{1}{10} \ln(10x-15)+C[/tex]

Adding these results, we get the answer to be a.

Answer:

the slope is -5/2 and the y-intercept is (0,-3)

Step-by-step explanation:

Answer:

y = -5/2x - 3

Step-by-step explanation:

First you distribute, -5/2 or -2.5 (x +4)

Which results in y - 7 = -2.5x + -10

and then add +7 to both sides

y = -2.5x + (-3 )

Turn x into a fraction and:

y = -5/2x - 3 The last answer choice

i t h i n k

Answer:

y = 0x

explaination

Answer:

0%

Step-by-step explanation:

The gain on the first oven = 18000 x 20% = 18000 x 20/100
= 18000 x 0.2 = 3600. Since it is a gain, we have to add this number

So selling price = 18000 + 3600 = 21600

The loss on the second oven is also the same 18000 x 0.2 = 3600. This time, it being a loss, selling price = 18000-3600 Total= 14400

The total before sales price of both ovens C  = 18000 + 18000 = 36,000

Total sold price S = 14, 400 + 21,600 = 36000

So net gain/loss = S - C = 36000 - 36000 = 0

So net gain/loss as percent = 0%

Answer:

D. (x-9)(x-3)

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The required number is 874 and 423.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

My  number has 2 periods, There are digits 8,7,4 in that order and 4,2,3 in that order.

According to given question we have

First period=4(Ones) , 7(Tens) , 8(Hundreds)

Number        Hundred           Tens             Ones

874                    8                       7                     4

Second Period =3(Ones) , 2(Tens) , 4(Hundreds)

Number        Hundred           Tens             Ones

423                 4                       2                     3

Therefore, the required number is 874 and 423.

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[tex]she \: paid = 2(1.69) + 1(1.49) + 1(1.09) + 0.68=6.64 \\ change = 10 - 6.64 = 3.36[/tex]

The total number of vehicles is simply given as

A total number of vehicles. =[tex]\int_0^{20} f(x) d x[/tex]

This is further explained below.

Generally, How far away two things or points are may be measured, either quantitatively or quantitatively, using something called distance.

When discussing physics or using the term in daily conversation, "distance" may either refer to a literal measurement or an approximation based on several other factors.

In conclusion, Here, we need to include all of the cars that are available on the length of road that is 20 miles long, and we can accomplish this by integrating the density function f. (x).

Therefore a total number of vehicles. =[tex]\int_0^{20} f(x) d x[/tex]

Option C

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Table number 4 is showing the value of Y as a function of X.

A binary connection in mathematics links elements of one set, referred to as the domain, with elements of another set, referred to as the codomain. A new set of ordered pairs made up of elements from sets X and Y and x in X is known as a binary relation across these sets.

The variable Y as a function of X is represented by table number 4. Because for every value of X there is a different value of Y.

X                   Y

26               -26

-26              24

28               -28

-28              28

Therefore, table number 4 is showing the value of Y as a function of X.

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Answer:

√2

Step-by-step explanation:

An irrational number is one that cannot be expressed as p/q where both p and q are integers

Square roots of numbers which do not result in an integer are irrational

So it is the last choice √2

Answer:

48.43552415324934

Step-by-step explanation:

61.73²-38.27² = 2346

[tex]\sqrt{2346}[/tex] = 48.43552415324934

Answer:

x - 9 = -1

Step-by-step explanation:

When you see less than you switch the numbers. So, for instance, it says 9 less than x means x-9

Answer: 10

Step-by-step explanation:

Whenever you have a subtraction symbol next to a negative it automatically becomes positive.

Answer:

70 inches

Step-by-step explanation:

remembering that 1 foot is 12 inches, you would do 12 inches multiplied by 5 feet. 12x5=60. After adding 60 inches to the remaining 10 inches, you get 70 inches. The tree is 70 inches tall

The fractional representation of each plot is given by 12/67 , 79/335 , 58/335 , 143/670 and 133/670 .

A fraction denotes a component of a whole or, more broadly, any number of equal pieces. A common or simple fraction is made up of a non-zero denominator that is displayed below (or after) the line that the numerator is displayed above (or before a slash, as in the case of 12). Compound fractions, and mixed numeral fractions are examples of uncommon fractions that use numerators and denominators.

The total area of the lot is given by (19750+15000+14500+17875+16625) =83750 square feet.

Fractional representation of Lot 1= 15000 ÷ 83750 = 12/67

Fractional representation of Lot 2= 19750 ÷ 83750 = 79/335

Fractional representation of Lot 3= 14500 ÷ 83750 = 58/335

Fractional representation of Lot 4= 17875 ÷ 83750 = 143/670

Fractional representation of Lot 5= 16625 ÷ 83750 = 133/670

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The distinction in feet between the elevation at Zabriskie purpose and Badwater Basin​ is 930 feet.

The image of the amount line of the question is given below.

From the image , we are able to see that

Zabriskie purpose is at 648 feet and Badwater Basin is at - 282 feet.

The distinction between these points is given by

= 648 - (-282)

= 930 feet

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The complete question is mention below :

The number line shows four elevations in Death Valley National Park.Enter the difference ,in feet between the elevation at Zabriskie Point and Badwater Basin​ .

Step-by-step explanation:

the slope is a line is always the factor of x.

and it is the ratio (y coordinate difference / x coordinate difference) when going from one point to another.

y = 2x + 4

has the slope 2. which is 2/1. so, for every increase of x by 1 unit, y increases by 2 units.

and this line has a y-intercept of 4 (the y-value when x = 0).

remember, the slope-intercept form of a line is

y = ax + b

a is the slope, b is the y-intercept.

a perpendicular slope (90°) turns that ratio upside down and flips the sign (because if the original line was going up, the perpendicular line is going down and vice versa).

so, the slope of the perpendicular line is -1/2.

the y-intercept was already given to us, so the desired line equation is

y = -1/2 x + 3

or

y = -x/2 + 3

Answer:

2500

Step-by-step explanation:

1×10^6/10=10%

=1×10^5 then divide by 10 will give 10

=1×10^4 divide by 4 to get 2.5 of the original 10%

=2.5×10^3

=2500

Two expressions with equal sign is equation, if (m/n)(x) for x=-3 is (m/n)(-3)=m(-3)/n(-3).

Two expressions with equal sign is called as Equation.

Given,
(m/n)(x) for x=-3

i.e means we need to find (m/n)(-3)

So we have to calculate by putting -3 in to two functions m and n.

(m/n)(-3)=m(-3)/n(-3)

Therefore (m/n)(x) for x=-3 is (m/n)(-3)=m(-3)/n(-3).

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The combined estimated weight of the two whales is 945.7 Pounds.

The estimated weight of a blue whale = 3.46 × 105

Total estimated weight of a blue whale = 363.3 Pounds

Now, the estimated weight of a sea whale = 5.6 × 104

Total estimated weight of a sea whale = 582.4 Pounds

For finding the combined estimated weight of the two whales,

we will add the total estimated weight of both whales.

Here is how we will do it:

Total estimated weight of a blue whale + Total estimated weight of a sea whale

= 363.3 Pounds + 582.4 Pounds

Hence, 945.7 Pounds will the combined estimated weight of the two whales.

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If an increase in the price of blue jeans leads to an increase in the demand for tennis shoes, then blue jeans and tennis shoes are substitutes.

Two or more expressions with an Equal sign is called as Equation.

The statement "If an increase in the price of blue jeans leads to an increase in the demand for tennis shoes"

Substitutes are two goods that can be used in place of each other for a similar purpose.

In this case, if the price of blue jeans increases, consumers may switch to buying more tennis shoes instead, since they serve a similar purpose in terms of clothing.

Complements are two goods that are used together, such as peanut butter and jelly.

Normal goods are goods whose demand increases as income increases, while inferior goods are goods whose demand decreases as income increases.

Hence, If an increase in the price of blue jeans leads to an increase in the demand for tennis shoes, then blue jeans and tennis shoes are substitutes.

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Answer:

[tex]6\frac{1}{9}[/tex]

Step-by-step explanation:

You said you needed the answer fast if you want I cant still give an explination.

The sum of the terms till infinity of the sequence 1, 1 / 4, 1 / 16, 1 / 64 will be 4 / 3.

We have the sequence:

1, 1 / 4, 1 / 16, 1 / 64. ​

Initial term = a

a = 1

Common ratio = d

d = 1 / 4

The formula for the sum of the terms to infinity is given by:

S_∞ = a / (1 – r)

S_∞ = ( 1 ) / (1 – 1 / 4)

S_∞ = 1 / ( 3 / 4 )

S_∞ = 4 / 3

Therefore, we get that, the sum of the terms till infinity of the sequence 1, 1 / 4, 1 / 16, 1 / 64 will be 4 / 3.

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The average yearly salary of the final year is 67000 in dollars.

An average is a single number selected to stand in for a collection of numbers; it is frequently the product of the sum of the numbers divided by the total number of the collection. For example, the average of the integers 2, 3, 4, 7, and 9 is 5.

Let x = the average salary of an individual with the bachelor's degree, in dollars.

Then the average salary of an individual with master's degree is (2x - 35000)in dollars.

According to the sum of these salaries is 118000 dollars:

x + (2x-35000) = 118000

by solving we get

x = 153000/3

x = 51000

Hence, The average salary of an individual with the bachelor's degree is 51000 in dollars.  

the average salary of an individual with the master's degree (2*51000 - 35000) = 67000 in dollars.

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Greetings from Brasil...

Putting SIN² A in evidence

SIN² A(1 + TG² A) = TG² A

           1 + TG² A = SEC² A

SIN² A(SEC² A) = TG² A

SIN² A/COS² A = TG² A

TG² A = TG² A

Answer:

B) 2

Step-by-step explanation:

Is BK bisecting CD?

x + 1 = 2x -1  Subtract x from both sides

1 = x -1  Add 1 to both sides

2 = x

Answer: 75^5 which mean 75 to the 5th power

Step-by-step explanation:

Answer:

[tex]2 \frac{5}{8} [/tex]

Step-by-step explanation:

[tex]1. \: \frac{1 \times 6 + 1}{6} \times 2 \frac{1}{4} \\ 2. \: \frac{6 + 1}{6} \times 2 \frac{1}{4} \\ 3. \: \frac{7}{6} \times 2 \frac{1}{4} \\ 4. \: \frac{7}{6} \times \frac{2 \times 4 + 1}{4} \\ 5. \: \frac{7}{6} \times \frac{8 + 1}{4} \\ 6. \: \frac{7}{6} \times \frac{9}{4} \\ 7. \: \frac{7 \times 9}{6 \times 4} \\ 8. \: \frac{63}{6 \times 4} \\ 9. \: \frac{63}{24} \\ 10. \: \frac{21}{8} \\ 11. \: 2 \frac{5}{8} [/tex]

Answer:

w = 7

Step-by-step explanation:

12.75w + 25 = 114.25

12.75w + 25 - 25 = 114.25 - 25

12.75w = 89.25

12.75w/12.75 = 89.25/12.75

w = 7

Hope this helps!  :)