Use algebra to write an expression for each of the following without using the multiplication sign or the division sign. 3 more than the value of x

Answer:

Scars to Your Beautiful Analysis

Alessia Cara uses figurative language to emphasize that our differences are what makes us beautiful and we should embrace it. She personifies that the world has possibilities to change its opinions on people with differences by saying "the world could change it's heart".

Step-by-step explanation:

is this it?

The value of x for the chord is:

x = 12

A chord of a circle is a straight line segment whose endpoints both lie on a circular arc.

Recall that: If two chords intersect inside the circle, then they cut each other in such a way that the product of the lengths of the parts is the same for the two chords.

Using the above principle, we can say:

3 * x = 4 * 9

3x = 36

x = 36/3

x = 12

Thus, the value of x for the chord is 12.

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Step-by-step explanation:

Make f(x) = 0

\( {x}^{2} + 6x + 11 = 0\)

\( {x}^{2} + 6x = - 11\)

\(( \frac{6}{2} ) ^{2} = 3 ^{2} = 9\)

\( {x}^{2} + 6x + 9 = - 11 + 9\)

(x+3)²= -2

(x+3)²+2= 0

f(x)= (x+3)²+2

Which is the f(x) in graphing form.

The speed of the second pedestrian is 5 kilometers per hour.

Let's say that the speed of the second pedestrian is S.

We know that the other pedestrian walks at a speed of 4km/h, and they (together) travel a distance of 27km in 3 hours, then we can write the linear equation:

(4km/h + S)*3h = 27km

It says that both pedestrians work, together, a total of 27km in 3 hours.

Now we can solve that linear equation for S, to do this, we need to isolate S in the left side of the equation.

4km/h + S = 27km/3h = 9 km/h

S = 9km/h - 4km/h = 5km/h

The speed of the second pedestrian is 5 kilometers per hour.

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Let's represent the number with the variable "x". According to the given property, we can write the following equation:

3(x + 4) < 7x

Now, let's solve this inequality to find the range of numbers that satisfy the property.

3x + 12 < 7x

Subtract 3x from both sides:

12 < 4x

Divide both sides by 4 (since the coefficient of x is 4):

3 < x

So, the range of numbers that satisfy the given property is x > 3.

Therefore, any number greater than 3 will satisfy the condition. For example, 4, 5, 6, 7, 8, etc.Step-by-step explanation:

Answer:

It should be 10 for the first box, 1000 for the second box and 100 for the third box.

Step-by-step explanation:

Each extra decimal place value added, u have to multiply it by the next value place such as tenths/hundreths/thousandths

Answer:

(2, 0), (-2, 0)

Step-by-step explanation:

f(x) = x³ - 2x² - 4x + 8

(x³ - 2x²) (-4x + 8)

x²(x - 2) - 4(x - 2)

(x² - 4) (x - 2)

(x + 2)(x - 2)(x - 2)

(x + 2) (x - 2)²

 x = -2, 2 multiplicity of 2

I hope this helps!

The binomial theorem states that: \((x + y)^n = \sum_{k=0}^n{n\choose k} x^{n-k}y^k\). So, the binomial expansion of (2x - 3y)⁵ is: \(32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\).

Now, let's use the Binomial Theorem to find the binomial expansion of (2x - 3y)⁵. We will have to find the coefficients for each term. So, let's get started. n = 5x = 2xy = -3[nCr = n! / (r! * (n-r)!)]

Term k = 0: \( {5 \choose 0} (2x)^5 (-3y)^0\) = 32x⁵

Term k = 1: \({5 \choose 1} (2x)^4 (-3y)^1\) = -240x⁴y

Term k = 2: \({5 \choose 2} (2x)^3 (-3y)^2\) = 720x³y²

Term k = 3: \({5 \choose 3} (2x)^2 (-3y)^3\) = -1080x²y³

Term k = 4: \({5 \choose 4} (2x)^1 (-3y)^4\) = 810xy⁴

Term k = 5: \({5 \choose 5} (2x)^0 (-3y)^5\) = -243y⁵

Now we can combine all of these terms to form the binomial expansion of (2x - 3y)⁵:\((2x - 3y)^5 = 32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\)

Therefore, the binomial expansion of (2x - 3y)⁵ is: \(32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\).

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Answer:

1) Yes, it is rational.

2) Yes, it is rational.

3) There are three repeating digits.

Step-by-step explanation:

Lets solve them in order.

1) First lets see what the characteristics of a rational number are. We know that, to be a rational number, a number must either:

An irrational number is a number that never repeats or ends. They are also not integers, but we will focus on the never repeats or ends part.

So, lets look at it. Does 0.147 repeat, terminate, be expressed as a fraction, and is it an integer? Well, its not an integer, it doesn't repeat, and it isn't a fraction. However, it does terminate, which means it is rational.

2) Is 0.147 repeating a rational or irrational number. Remember, we need to see if it terminates, repeats, is an integer, or is a fraction. Well, it doesn't terminate, it is not a fraction, and it is not an integer. However, it does repeat. That means that it is a rational number.

3) Now, to figure out how many repeating digits there are. In math, we know that the line above the numbers in the decimal place means that they repeat. So simply find out how many digits are below that line. Well, we see that 1, 4, and 7 are under the line. In total that is three digits. So the answer is 3.

Answer:

9

Step-by-step explanation:

If its perpendicular, it probably bisects EH, so just split it in half.

Answer:

bowl of colorful marbels

Step-by-step explanation:

bowl+marbels

Step-by-step explanation:

the average score would be 3 i think

Hello.

Divide the two numbers, then multiply by 100.

5/17 = 0.294

0.294 * 100 = 29.4

5/17 as a percentage is 29%

(in full, 29.411764%)

For a second-degree polynomial of the form ay^2 + by + c = 0, we can calculate the discriminant D and get some information about the possible solutions for the equation.

If D (discriminant) is greater than 0, there will be 2 real solutions, if D is equal to 0, there will be only one real solution and if D is less than 0 there won't be a real solution.

The discriminant is given by the following formula:

D = b^2 - 4ac​

In this case, we have the equation 2y^2 - y - 8 =0, then we get:

D = (-1)^2 - 4(2)(-8) = 1 + 64 = 65

As you can see D > 0 , then the equation 2y^2 - y - 8 =0 has two different real solutions

The two solutions can be calculated by means of the quadratic formula:

By replacing 2 for a, -1 for b and -8 for c, we get:

Then, the two solutions to the given equation are 2.27 and -1.77

The 9th term of this arithmetic sequence is 6.

In an Arithmetic Progression (AP), the nth term is given by the formula-

a9 = a + (n-1)d

where a = first term of the AP

d = common difference

Here, we are given that a= 10 and d = - ½

Let the 9th term of the AP be a9

Therefore, according to the formula for finding the nth term of an AP, we get-

a9 = a + (9-1)d

a9 = a + 8d

Substituting the values of a and d given in the question-

a9 = 10 + 8(-1/2)

a9 = 10 - 4

a9 = 6

Thus, the 9th term of the arithmetic sequence is 6.

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The test score of 20 students are :

90, 60, 85, 100, 100, 90, 100, 75, 100,95, 95, 85, 30, 100, 40, 15, 100, 90, 70, 80

Number of students = 20

Mean : The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

In the given question

Sum of all data = 90+60+85+100+100+90+100+75+100+95+95+85+30+100+40+15+100+90+70+80 = 1600

Sum of all data = 1600

Substitute the value in the expression of Mean :

Mean is 80

Mode : The mode is the number that occurs most often in a data set.

In the given data, frequency of each marks :

In the table, we can see that the maximum number of students has obtained 100 marks so

Mode = 100

Median : Median is the middle value of the set of the order Data

It express as :

Arrange the data in the ascending order : 15, 30, 40, 60, 70, 75, 80, 85, 85, 90, 90, 90, 95, 95, 100, 100, 100, 100, 100, 100

n is the total number of terms :

as n = 20, which even so:

Median is 90

Answer :

The mode 100

The mean 80

The median 90

Answer:

Step-by-step explanation:

rise over run. the slope is -3 for 10.

Answer:

-3/1

Step-by-step explanation:

An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.

An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.

This function is one-to-one because for every element x in P, there is a unique element 2x in Q. It is onto because every element y in Q has a preimage x in P such that f(x) = y (e.g., y/2 = x).

Furthermore, this function preserves the group structure between P and Q, as it satisfies the properties of an isomorphism. In this case, the group structure is addition, and the function f preserves addition: f(x + y) = 2(x + y) = 2x + 2y = f(x) + f(y) for all x, y in P.

Therefore, the function f: P -> Q defined as f(x) = 2x is an example of a one-to-one function that is an isomorphism between sets P and Q.

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To solve this problem, we can use the formula for probability:

P(event) = number of favorable outcomes / total number of outcomes

First, let's find the total number of outcomes. We are selecting 4 balls from 11 without replacement, so the total number of outcomes is:

11C4 = (11!)/(4!(11-4)!) = 330

where nCr is the number of combinations of n things taken r at a time.

Now let's find the number of favorable outcomes for each part of the problem.

Part 1: Exactly two white balls and two red balls

To find the number of favorable outcomes for this part, we need to select 2 white balls out of 6 and 2 red balls out of 5. The number of ways to do this is:

6C2 * 5C2 = (6!)/(2!(6-2)!) * (5!)/(2!(5-2)!) = 15 * 10 = 150

So the probability of selecting exactly two white balls and two red balls is:

P(2W2R) = 150/330 = 0.45 (rounded to two decimal places)

Part 2: At least two white balls

To find the number of favorable outcomes for this part, we need to consider two cases: selecting 2 white balls and 2 red balls, or selecting 3 white balls and 1 red ball.

The number of ways to select 2 white balls and 2 red balls is the same as the number of favorable outcomes for Part 1, which is 150.

To find the number of ways to select 3 white balls and 1 red ball, we need to select 3 white balls out of 6 and 1 red ball out of 5. The number of ways to do this is:

6C3 * 5C1 = (6!)/(3!(6-3)!) * (5!)/(1!(5-1)!) = 20 * 5 = 100

So the total number of favorable outcomes for selecting at least two white balls is:

150 + 100 = 250

And the probability of selecting at least two white balls is:

P(at least 2W) = 250/330 = 0.76 (rounded to two decimal places)

Answer:

A and C

Step-by-step explanation:

20) Since the triangles are similar, you can say that 98 corresponds to 42 and 77 corresponds to 3x+6, because of this you can write an equation ((98/77)(3x-6) =42) and then simplify to get x = 13.

21) Since ABC and DFE are similar, we can say that 2x+2 corresponds to x+3 and 24 corresponds to 16. You can write this as the equation (24/2x+2)(x+3) = 16 and simplify to get x=5.

I hope this helps :)

Answer:

D

Step-by-step explanation:

Answer:

the solution (x,y) are any x and y that satisfy the equation.

One possible solution is (0,3) or x=0, y=3.

Btw, x(squared) + y(squared) =3(squared)  

is an equation of a circle centre (0,0) radius 3.

Answer:

Step-by-step explanation:

3 3/4

I need to type more, this is just filler. Ignore it.

a) The hypotheses are given as follows:

The claim is that the average has changed.

b) The p-value is of: 0.2846

c) The decision is of: Do not reject the null hypothesis.

d) The conclusion is of: There is not enough evidence to conclude that the average has changed from 16.

At the null hypothesis, it is tested if there is not enough evidence to conclude that the mean has changed, that is:

\(H_0: \mu = 16\)

At the alternative hypothesis, it is tested if there is enough evidence to conclude that the mean has changed, that is:

\(H_1: \mu \neq 16\)

The standard deviation for the population is known, hence the z-distribution is used to obtain the test statistic.

The equation is given as follows:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which:

The parameters for this problem are given as follows:

\(\overline{x} = 15.5, \mu = 16, \sigma = 3, n = 41\)

Hence the test statistic is given as follows:

z = (15.5 - 16)/(3/square root (41))

z = -1.07.

Using a z-distribution calculator, with a two-tailed test, as we are testing if the mean is different of a value, with z = -1.07, the p-value is of:

0.2846.

As the p-value is greater than the significance level of 0.10, the decision is to not reject the null hypothesis, leading to a conclusion that there is not enough evidence that the mean has changed.

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Answer:

y  = (-4/3)x + 6

Step-by-step explanation:

The Y-intercept of the graph is 6. You can find the slope by following rise over run, or the change in y divided by the change in x. From (0,6) to (3,2), there is a negative 4 change in y and positive 3 change in x.

Answer:

Step-by-step explanation:

To find the arc length of the polar curve r = 8cosθ between 0 and π/4, we can use the formula for arc length:

L = ∫a^b √(r^2 + (dr/dθ)^2) dθ

Substituting in the values for r and dθ, we get:

L = ∫0^(π/4) √(8^2cos^2θ + (-8sinθ)^2) dθ

= ∫0^(π/4) √(64cos^2θ + 64sin^2θ) dθ

= ∫0^(π/4) √(64) dθ

= ∫0^(π/4) 8 dθ

= 8(π/4 - 0)

= 8π/4

= 2π

Therefore, the arc length of the polar curve r = 8cosθ between 0 and π/4 is 2π.

The ratio when a baker made 28 cakes in 84 days is 1:3.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

This indicates that you're dividing information A by B. For instance, the ratio will be 5/10 if A is 5 and B is 10.

Since the baker made 28 cakes in 84 days. The ratio will be:

= 28 / 84

= 1 / 3

= 1:3

In conclusion, the ratio of cakes to number of days is 1:3.

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The solution to the linear system is c = -6 and d = 3.

To solve the linear system using the elimination strategy, we can eliminate one variable by adding or subtracting the equations. Let's solve the first linear system:

(1) 12c + 28d = 12

(2) -20c + 16d = 168

To eliminate one variable, we can multiply equation (1) by 5 and equation (2) by 3, which will result in opposite coefficients for 'c'. This will allow us to eliminate 'c' when adding the equations together:

(1) 60c + 140d = 60

(2) -60c + 48d = 504

Now, we can add the equations:

(60c + 140d) + (-60c + 48d) = 60 + 504

188d = 564

d = 564/188

d = 3

Substituting the value of 'd' back into equation (1):

12c + 28(3) = 12

12c + 84 = 12

12c = 12 - 84

12c = -72

c = -72/12

c = -6

The solution to the linear system is c = -6 and d = 3.

Now let's analyze the second linear system:

(1) 7x - 3y = 43

(2) 7x - 3y = 13

By comparing the two equations, we can see that they have the same coefficients for both 'x' and 'y', and the constant terms on the right side are different. This means the lines represented by the equations are parallel and will never intersect.

The linear system has no solution.

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Answer: 6,001 milliliters

Step-by-step explanation: 6 Liter translates to 6,000 milliliters, which is 1 less than 6,001 milliliters.

Answer:

I believe 6 liters is more.