Which of the following expressions are equivalent to -x/y

The value of the expression x² + 10x, when x = 2 is 24.

In the expression x² + 10x, x represents a variable, which is a placeholder for a value that can change. We are given that x = 2, which means we substitute 2 for x in the expression:

x² + 10x = 2² + 10(2)

Here, 2² means 2 raised to the power of 2, which is 2 multiplied by itself: 2² = 2 x 2 = 4.

10(2) means 10 multiplied by 2, which is 20.

So we can substitute these values in the expression:

x² + 10x = 2² + 10(2)

= 4 + 20

= 24

Therefore, when x is equal to 2, the value of the expression x² + 10x is 24.

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The complete question:

Evaluate the expression x² + 10x, when x = 2.

Answer:

1. 15.9

2. 12

3. 7.29

4. 20.8

5. 11.0

Step-by-step explanation:

We can use the Pythagorean Theorem to solve for x (a squared minus b squared equals c squared)

Example number 1 is solved by  17 squared - 6 squared equals 253

You do square root and get 15.90

Number 4 is you have to divide 24 by 2 because it is one of the sides

So it is 24 squared minus 12 squared

You find square root and get 20.80

Answer:

2π(x+y+z)

is the factorization

Answer:

\(y = 130x + 1750\)

Step-by-step explanation:

Given

\(a = 1750\) --- students in 2014

\(m = 130\) --- rate

Required

Write a linear equation for the scenario

A linear equation is represented as:

\(y =mx + a\)

Where

\(m \to\) rate

\(a \to\) y intercept i.e. initial value

So, we have:

\(y =mx + a\)

\(y = 130x + 1750\)

The linear equation y = 130x + 1750 with an increasing slope of 130 and a constant of 1750

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

In 2014, the number of full-time students at your local community college was 1750.

The admissions office anticipates that the enrollment will increase at a constant rate of 130 students per year for the next several years.

We know that the equation of a line is given as

\(\rm y = mx + c\)

where m is the rate, c be the number of students in 2014.

Then we have

m = 130

c = 1750

Then the equation will be

\(\rm y = 130x + 1750\)

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00.0000142; Yes, the probability of 2 jackpots in 8 plays is extremely small.

It is a branch of mathematics that deals with the occurrence of a random event.

Given,

A slot machine at a hotel is configured so that there is a 1/1400 probability of winning the

jackpot on any individual trial.

guest plays the slot machine 8 times

We need to find probability of

exactly 2 jackpots. If a guest told the hotel manager that she had hit two jackpots in 8 plays of the slot machine

The probability of winning is 1/1400. Therefore, the probability of losing is 1-1/1400 = 1399/1400.

Therefore, the probability of winning 2 times out of the 8 trials, and the rest 6 trials being a loss is:

56×(1/1399)²×(1/1400)⁶

=3.8×10⁻²⁴

Which is an extremely low probability. Therefore, the manager would be surprised for sure.

Hence,00.0000142; Yes, the probability of 2 jackpots in 8 plays is extremely small.

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Answer:

  145.39

Step-by-step explanation:

The ratio of supply to demand will be 1 at the equilibrium price:

  S(p)/D(p) = 1 = 140e^(0.005p)/(448e^(-0.003p))

  448/140 = e^(0.005p -(-0.003p)) = e^(0.008p)

  ln(448/140) = 0.008p . . . . . . . . . taking the natural log

  p = ln(448/140)/0.008 ≈ 145.39

The equilibrium price is about $145.39.

Answer: 16, -1

Step-by-step explanation:

since the x is +10 more than d and the y is -7 less than d, you just add another +10 and -7 to get your next point

Step-by-step explanation:

The equation for this function is y=2x

So 32*2=64

36/2=18

2*x=2x

y/2=y/2

2x*2=4x

(x+3)*2=2x+6

Answer:

17 - m

Step-by-step explanation:

because 17 is being decreased

and it is decreased by m

so the correct equation will 17 - m

The lowest form of 6/42 is 1/7 and,

the lowest form of 14/28 is 1/2.

What is the lowest form of fraction?

When there is no common factor between the fraction's numerator (top) and denominator (bottom), the fraction is said to be in its simplest form. This is also known as its Lowest form.

In fraction 6/42, both denominator and numerator have common factor as 6, So we divide the denominator and numerator by 6.

Hence, we get 1/7.

Similarly, In fraction 14/28, both denominator and numerator have common factor as 14, So we divide the denominator and numerator by 14.

Hence, we get 1/2.

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Given:

The trinomial is

\(c^2+2c+n\)

To find:

The value of n for which the given trinomial is a perfect square and then factor the trinomial.

Solution:

We know that, the perfect square trinomial is given by

\((a+b)^2=a^2+2ab+b^2\)        ...(i)

We have,

\(c^2+2c+n\)        ...(ii)

From (i) and (ii), we get

\(a^2=c^2, 2ab=2c, b^2=n\)

\(a=c\)

Similarly,

\(2ab=2c\)

\(2ab=2a\)           \([\because a=c]\)

\(b=\dfrac{2a}{2a}\)

\(b=1\)

Now,

\(n=b^2\)

\(n=1^2\)

\(n=1\)

The value of n is 1.

The trinomial is

\(c^2+2c+1\)

Splitting the middle term, we get

\(=c^2+c+c+1\)

\(=c(c+1)+1(c+1)\)

\(=(c+1)(c+1)\)

\(=(c+1)^2\)

Therefore, the factorized form of the trinomial is \((c+1)^2\).

The maximum home value that can be financed is approximately $35,365.85.

Let's represent the maximum home value that can be financed by H.

If the minimum down payment is 18%, the amount financed is 100% - 18% = 82%.

Therefore, we have:

H × 82% = $29,000

Multiplying both sides by (1/82%), we get:

H = $29,000 / 82%

= $35,365.85

Hence, the maximum home value that can be financed is approximately $35,365.85.

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Answer:

The answer is C

Step-by-step explanation:

If you graph the points then it is clear that it is the answer because the point are directly across from each other horizontally.  

Answer:

B

Step-by-step explanation:

As said in B, use the vertical line test. For any vertical line, does it hit the graph in two points? No. Therefore, the answer is B.

This particular function is f(x)=x^2.

Hope that helped,

-sirswagger21

Answer:

Yes is passes the vertical line test

Step-by-step explanation:

This parabola is a function. it has a one to one correspondence and passes the vertical line test

Let's assume that the width of the gravel path is x feet. Then, the outer dimensions of the garden including the gravel path will be (25+2x) feet by (21+2x) feet.

The area of the garden and the path together will be:

(25+2x) * (21+2x) = 525 + 92x + 4x²

The area of the garden alone will be:

25 * 21 = 525

So, the area of the gravel path alone will be:

(25+2x) * (21+2x) - 525 = 92x + 4x²

We know that the area of the gravel path is 696 square feet, so we can set up an equation:

92x + 4x² = 696

Simplifying the equation, we get:

x² + 23x - 174 = 0

Using the quadratic formula, we get:

x =  (-23±\(\sqrt{\frac{(23^{2}-41(-174)) }{2*1} }\) )

x =  (-23±\(\sqrt{\frac{(1681)}{2} }\) )

x = (-23 ± 41) / 2

Since we're looking for a positive value for x, we can ignore the negative solution:

x = 9

Therefore, the width of the gravel path can be 9 feet.

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Answer:

2√2 units.

Step-by-step explanation:

To find the length of the line joining points A(3, 5) and B(1, 3), we can use the distance formula. The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Substituting the coordinates of points A and B into the formula, we have:

d = sqrt((1 - 3)^2 + (3 - 5)^2)

  = sqrt((-2)^2 + (-2)^2)

  = sqrt(4 + 4)

  = sqrt(8)

  = 2sqrt(2)

Therefore, the length of the line joining points A and B is 2√2 units.

Final Correct Answer:

14n - 16g + 8

Hope this helps :)

Error:

The error was that I'm the first step where they distributed -4 to the numbers - 3n, + 4g, - 2 wrong. They multiplied with the wrong integer rules.

Real answer - how to solve:

- 4 multiply by - 3n would be + 12n (Negative times Negative equals Positive).

-4 multiply by + 4g would be - 16g (Negative times Positive equals Negative).

- 4 multiply by - 2 would be + 8 (Negative times Negative equals Positive).

So that was the error.

Step-by-step explanation:

1. Distribute.

2n - 4( - 3n + 4g - 2)

2n + 12n - 16g + 8

2. Combine Like Terms (CLT).

2n + 12n - 16g + 8

14n - 16g + 8

Answer:250%

Step-by-step explanation:

Step-by-step explanation:

3

1

6

100

8

They are the answers

Answer:

I will 2 of the problems and you can do the 3. If you need help then I am here, but try some on your own too. I will do :-

1/3 of 9

1/3 of 24

Hope this helps, thank you :) !!

The population of North Carolina will reach 12 million in the year 2028.

Population growth is defined as the increase in the number of people which is calculated using population growth rate.

Given that,

Population in 2010 = 9.5 million

Population is increasing to 1.3% per year.

Annual growth rate = 1.3% = 1.3/100 = 0.013

We have the population growth formula,

P = P₀ e^(r t)

Here, P₀ = 9.5 million = 9,500,000

and P = 12 million = 12,000,000

r = 0.013

We have to find t.

12,000,000 = 9,500,000 e^(0.013t)

120 / 95 = e^(0.013t)

Taking natural logarithm on both sides and also ㏑(e^m) = m ㏑ e, we get,

㏑(12/9.5) = 0.013t × ㏑e

[㏑(12/9.5) ÷ 0.013] = t  [since ln e = 1]

t = 17.97 ≈ 18 years

The year is 2010 + 18 = 2028

Hence in the year 2028, the population will be 12 million.

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Answer:

0

Step-by-step explanation:

If A is an event that will never happen, then P(A)=​0

Step-by-step explanation:

please mark me as brainlest

Answer:

3x + (2 - x) = 10

3x + 2 - x = 10

2x + 2 = 10

2x = 10 - 2

2x = 8

x = 8/2

x = 4

y = 2 - x

y = 2 - 4

y = -2

Answer:

2

Step-by-step explanation:

2*3+3*4 x 1/3 power 2

6+12 x 1/9

18 x 1/9

2 x 1 (because 9 and 18 are cutted by each other)

2

2

To evaluate the expression (2b+3a)×(c^2) when a=4, b=3, and c=1/3, we substitute the given values into the expression and perform the indicated arithmetic operations:

(2b + 3a) × (c^2)

= (2(3) + 3(4)) × ((1/3)^2) (substitute a=4, b=3, c=1/3)

= (6 + 12) × (1/9) (evaluate 2(3) + 3(4) and (1/3)^2)

= 18/9

= 2

Therefore, when a=4, b=3, and c=1/3, the expression (2b+3a)×(c^2) equals 2.

The four rectangles can be painted with 7 different paints in 840 ways.

A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order. For example, the permutation of set A={1,6} is 2, such as {1,6}, {6,1}, there are no other ways to arrange the elements of set A.

The formula for permutattion is;

\(P_r_n = \frac{n!}{(n-r)!} \\\)

where r = 4

n = 7

Substituting the values for n and r

\(P = \frac{7!}{(7-4)!}\)

\(P = \frac{7!}{3!}\)

P = 840 ways.

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Answer:

1.Many pairs of triangles designed into a building, for example as roof ends, would be congruent, so the roof beam and the top edges of the walls are horizontal.

2.The congruent triangle is used in most of the building that are design to stay in bad conditions and Strong winds for Example the Sydney Bridge.

3.in real life two triangles are rarely exactly congruent. However they are crucial in the construction of large man-made structures. This is because a triangle is the most stable shape and the congruence is needed to create even surfaces.

Answer:

91

Step-by-step explanation:

This is the answer, I took a pic of the work

Answer:

91

Step-by-step explanation:

2

13x

7

-------

9 1

7 X 3 = 21

7×1 =7

7+2 =8

8+1 = 9

The volume of the rectangular prism is 31.2 \(m^{3}\).

To find the volume of a rectangular prism, we multiply the length, width, and height of the prism.

Given that the length of the rectangular prism is 4m, the width is 6.5m, and the height is 1.2m, we can find the volume as follows:

Volume = length x width x height

= 4m x 6.5m x 1.2m

= 31.2 cubic meters

Therefore, the volume of the rectangular prism is 31.2 cubic meters.

To understand what this means, imagine filling the rectangular prism with cubic blocks, each having a volume of 1 cubic meter. We would need to place 31.2 of these blocks to completely fill the prism. Another way to think about it is that the prism could hold 31.2 cubic meters of water, if filled to the brim without any spillage.

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