what is the answer
2x+3x-7=42​

Answer:

Below

Step-by-step explanation:

Slope , m, is calculated  (y1-y2) / ( x1-x2) =

   Using the first two points :   (-5-0) / (-3 -0) = 5/3

slope = 5/3

Answer:

12x plus 9x

Step-by-step explanation:

Answer: 9 meters

set up a simple conversion:

X = 3m

Y = 3X

Y=3(3 meters)

Y=9 meters

Answer:

Down Here ↓↓↓↓

Step-by-step explanation:

1. The sum of all angles in a triangle is 180°

75° + 60° + x° = 180°

135° + x° = 180°

x° = 55°

2. The sum of all angles in a triangle is 180°

70° + 70° + x° = 180°

140° + x° = 180°

x = 40°

3. The sum of all angles in a triangle is 180°

1 : 2: 5 = 1x:2x:5x

1x + 2x + 5x = 180°

8x = 180°

x = 22.5°

2x = 45°

5x = 112.5°

4. The sum of all angles in a triangle is 180°. The angle in a line is 180°

Missing angle is 180° - 123° = 57°

The sum of angles in a triangle is 180°

57* + x° + 90* = 180°

57° + x° = 90°

x = 33°

5. We know that the sum of angles in a triangle is 180°. We can subtract the values of the two other angles from 180* to find the missing angle.

-Chetan K

After set s1.addAll(s2), s1 is [1, 2, 5, 2, 3, 6].

After performing the operation s1.addAll(s2) on sets s1 [1, 2, 5] and s2 [2, 3, 6], the set s1 would become[1, 2, 5, 2, 3, 6].

To determine the value of s1, the following steps has to be taken:

1. Start with sets s1 [1, 2, 5] and s2 [2, 3, 6].

2. Apply the addAll operation with set s2: [2, 3, 6]

3. Add each element from set s2 to set s1, while avoiding duplicates (since sets cannot have duplicate elements).

4. Therefore, suppose if set s1 is [1, 2, 5] and set s2 is [2, 3, 6] then, after s1.addAll(s2), the set s1 becomes [1, 2, 5, 2, 3, 6].

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Answer:

86 in.

Step-by-step explanation:

Answer:

\(3x+5y=-5\)

Step-by-step explanation:

First, we can put the given information into an equation in point-slope form:

\(y-y_1=m(x-x_1)\) when \((x_1,y_1)\) is the given point and \(m\) is the slope

Plug in the point (-5,2)

\(y-2=m(x-(-5))\\y-2=m(x+5)\)

Plug in the slope \(\frac{-3}{5}\)

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

Open up the parentheses

\(y-2=\frac{-3}{5} (x+5)\\y-2=\frac{-3}{5}x+\frac{-15}{5} \\y-2=\frac{-3}{5}x-3\)

Multiply all values by 5 to rid the fraction

\(5y-10=-3x-15\)

Add 3x to both sides

\(3x+5y-10=-3x-15+3x\\3x+5y-10=-15\)

Add 10 to both sides

\(3x+5y-10+10=-15+10\\3x+5y=-5\)

I hope this helps!

Answer:

B. x ~ 5

This is a right isosceles triangle

The function has an inverse that is also a function would be {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)} so correct option will be (A).

A certain kind of relationship called a function binds inputs to essentially one output. In other words, the function is a relationship between variables and the nature of the relationship.

We have been given that a function is only a function such that there is a unique value of y corresponding to x.

An inverse function is only be a function if the function which is going to be inverse is a function.

The inverse of a function: (x, y) → (y, x)

1. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}

It has unique y- values, the inverse won't repeat x-values, so the inverse is also a function.

Hence, The function has an inverse that is also a function would be {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)} so correct option will be (A).

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Volume of cylinder,=πr²h

(22÷7)×5²×3

3.14×25×3

235.5

Answer :

235.5 units³

Answer:

3/4

Step-by-step explanation:

You do the y^2-y^1 over x^2- x^1 and you will get your answer

Rise over run

The specific gravity of the combined product is 1.22

Specific gravity is the ratio of the density of a substance to the density of some substance (such as pure water) taken as a standard when both densities are obtained by weighing in air.

Given,

The total quantity of portion= 50 ml

Specific gravities of the three syrups = 1.10,1.25 and 1.32

Then,

The specific gravity of the combined product= \(\frac{1.10+1.25+1.32}{3}\)

= 1.22

Hence, the specific gravity of the combined product is 1.22.

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1) The time taken is 2.47 s

2) The time taken is 21.4 s

3) The time taken is 1.2 s

4) The time taken is 81 s

5) The time taken is 5.7 s

Using the equation of kinematics under gravity we knw that;

h = ut + 1/2 gt^2

h = height from which it fell

u = initial velocity

g = acceleration due to gravity

t = time taken

Given the fact that the objects were dropped from a height u = 0 m/s

h = 1/2 gt^2

t = √2h/g

1) √2 * 30/9.8

t =2.47 s

2) t = √2 * 2250/9.8

t = 21.4 s

3)  t = √2 * 7/9.8

t = 1.2 s

4) t = √2 * 32000/9.8

t = 81 s

5)  t = √2 * 160/9.8

t = 5.7 s

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Answer:

25/4

Step-by-step explanation:

I just did it and got It right on M period

The value of x = -25/ a

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.

WE have been given an equation 15 + ax/5=10. we need to solve for x

15 + ax/5=10

Subtract 10 from, both side then

15 - 10+ ax/5=10 -10

15 - 10+ ax/5= 0

5 + ax/5= 0

Now subtract ax/5 on both side we get

5  = -ax/5

Cross multiplication;

25 = -ax

Therefore, the value of x = -25/ a

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Answer:

50 pcs

Step-by-step explanation:

say

1000 pcs / $20

so 50 pcs / $

then

$10 * 50 pcs / $ = 500 pcs

Using it's concept, it is found that the probabilities are as follows:

a) 0.6637.

b) 0.6947.

c) 0.1527.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there is a total of 83 + 63 + 99 + 65 + 73 + 69 = 452 customers.

Item a:

63 + 99 + 65 + 73 = 300 are at least 20 but no older than 59, hence:

p = 300/452 = 0.6637.

Item b:

83 + 63 + 99 = 245 are younger than 40.

69 are older than 60.

Hence:

p = (245 + 69)/452 = 0.6947.

Item c:

69 customers are at least 60, hence:

p = 69/452 = 0.1527.

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Answer:

540

Step-by-step explanation:

Formula for calculating the sum of interior angles is ( n − 2 ) × 180

Where n = number of sides

The polygon shown has 5 sides so n = 5

To find the sum of the interior angles we simply plug in the values of n into the formula

( n − 2 ) × 180

plug in n = 5

( 5 - 2 ) × 180

Subtract 5 and 2

3 × 180

Multiply

= 540

And we are done

The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed

The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.

To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.

On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.

So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.

Therefore, the correct answer is: The total number of tasks Terrence completed.

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The number of different selections possible if at least 3 balls must be blue is 35


1. Calculate the total number of possible selections (6 red + 7 blue = 13 total): 13C4 = 715
2. Calculate the number of possible selections that have fewer than 3 blue balls: 6C4 = 15
3. Subtract the number of possible selections with fewer than 3 blue balls from the total number of possible selections: 715 - 15 = 700
4. Divide the answer by the number of selections with exactly 3 blue balls: 700/7 = 100
5. Multiply the result by the number of selections with exactly 4 blue balls: 100 * 7 = 700
6. Finally, subtract the number of selections with 4 blue balls from the total number of possible selections: 715 - 700 = 35

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Answer: A

Step-by-step explanation:

Answer: C. 8x2 - 6x - 3

Step-by-step explanation:

I took the test. Hope this helps

The prime polynomial is 8x^2 - 6x - 3

Polynomials are expressions that are represents using terms and coefficients

For a polynomial to be prime, then the polynomial cannot be factored into smaller expressions

From the given options, 8x^2 - 6x - 3 cannot be factorized.

Hence, the prime polynomial is 8x^2 - 6x - 3

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Answer:

The greatest common factor of the expression is 25x

Step-by-step explanation:

Here, we are interested in giving the greatest common factor of the expression.

We can do this by factorization till we have no common factors left.

the expression is;

100x^2 -250xy + 75x

we start with the common factor x;

x(100x -250y + 75)

The next thing to do here is to find the greatest common factor of 100,250 and 75.

The greatest common factor here is 25.

Thus, we have;

25x(4x -10y + 3)

There is no more factor to get from the terms in the bracket. This simply means that the terms in the bracket are no longer factorizable

So the greatest common factor we have is 25x

Option D. The faculty should use the median to make their argument. The median will be lower than the mean since the mean is influenced by the few extremely high salaries.

Mean is the average of any data set whereas the median is the middle value we get after arranging the data in ascending order.

So for example, if the salaries of any 5 faculty members are as follows:

$10,000 , $50,000 , $80,000 , $150,000 , $160,000

Mean= (10,000+50,000+80,000+150,000+160,000) / 5

Mean= $90,000

Median= (5+1) / 2

Median= 6/2

Median= 3rd value

As the data is already arranged in ascending order, Median is $80,000

Hence, if the faculty want to give the community the impression that they deserve higher salaries, they should advertise the median of their current salaries.

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To prove the statement that 3 divides (n³ + 5n + 6) for any integer n ≥ 20 using mathematical induction, we will show that the statement holds for the base case (n = 20) and then assume it holds for an arbitrary value of n and prove it for (n + 1).

Base case (n = 20):

Substitute n = 20 into the expression (n³ + 5n + 6):

(20³ + 5 * 20 + 6) = 9266

Since 9266 is divisible by 3 (9266 = 3 * 3088), the statement holds for the base case.

Inductive step:

Assume that the statement holds for an arbitrary value of n, denoted as k, i.e., 3 divides (k³ + 5k + 6).

Now we need to prove that the statement holds for (k + 1), i.e., 3 divides ((k + 1)³ + 5(k + 1) + 6).

Expand the expression ((k + 1)³ + 5(k + 1) + 6):

(k³ + 3k² + 3k + 1 + 5k + 5 + 6) = (k³ + 5k + 6) + (3k² + 3k + 6)

By the induction hypothesis, we know that (k³ + 5k + 6) is divisible by 3. Now we need to show that (3k² + 3k + 6) is also divisible by 3.

Factoring out 3 from (3k² + 3k + 6), we get: 3(k² + k + 2).

Since k² + k + 2 is an integer, we conclude that (3k² + 3k + 6) is divisible by 3.

Therefore, the statement holds for (k + 1).

By the principle of mathematical induction, we have shown that the statement "3 divides (n³ + 5n + 6)" holds for any integer n ≥ 20.

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Answer:

The number is 67

Step-by-step explanation:

Equations

Let's consider the number 83. The tens digit is 8 and the unit digit is 3. Note the tens digit's addition to the number is 80, and the unit's addition is 3. This means the tens digit adds 10 times its value, that is, 83 = 8*10 + 3.

Now, let's consider the number ab, where a is the tens digit, and b is the unit digit. It follows that

Number=10*a+b

The question gives us two conditions:

1) The sum of a two-digits number is 13.

2) The tens digit is 8 less than twice the units digit.

The first condition can be expressed as:

a + b = 13                     [1]

And the second condition can be written as:

a = 2b-8                      [2]

Replacing [2] into [1], we have:

2b-8 + b = 13

Operating:

3b = 13 + 8

3b = 21

Solving for b:

b = 21 / 3 = 7

Substituting into [2]:

a = 2*(7) - 8 = 6

Thus, the number is 67

Answer

Explanation

Given:

To determine the value of g(f(x)), we substitute x with 1/3x^2+4 for g=9x-12:

Therefore, the value of g(f(x)) is C:

Answer:

Step-by-step explanation: