y=3x+7
y=-4x+21
wuts the answer plz show work

Answer:

Step-by-step explanation: she can read 15  pages an hour but she read for 2 hours so she read 30 pages

Answer:

x > -39

Step-by-step explanation:

-0.3x < 6.7 + 5

-0.3x < 11.7

divide by -0.3

Answer is x > -39

It should be noted that to obtain the graph of g(x) = |3x| from one of the basic graphs, we can start with the graph of y = |x|, which is the basic graph for the absolute value function.

First, we need to take the original function g(x) = |3x| and replace x with x/3 to get g(x/3) = |x|. This transformation stretches the graph horizontally by a factor of 1/3, making it narrower.

Next, we need to apply the vertical stretch by a factor of 3 to the graph of y = |x|. This involves multiplying all the y-coordinates of the points on the graph by 3. This transformation will make the graph taller.

Finally, we combine these two transformations by graphing the transformed function g(x/3) = |x| with the vertical stretch by a factor of 3. The resulting graph of g(x) = |3x| will be a taller, narrower version of the basic graph of y = |x|, with the vertex at the origin and the slope changing from negative to positive at x = 0.

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(i) the number of students who passed in the first and in the second division

         76+95=171 students

(ii) The ratio of the number of students who passed in the first second and in the third division.

RATIO  is    4:5:(25/19)       or          4:5: 1.3157894…….

225-29=196 (29students failed)

196-25=171. (Subtract 25 students from the 3rd division)

4x+5x= 171 (171 students from 1st and second division)

9x=171

         X=19

4x19=76        5x19= 95         1.31578.....x19= 25

Answer:

Step-by-step explanation:

2n-1=18n

18n-2n=16m

-1/16=16n

We can find the factors of the quadratic function using some methods. We can try the following:

We need to find two numbers that if we multiply them, we obtain -8, and if we sum them, we obtain -2. These two numbers are 2 and -4 since we have:

2 * -4 = -8

And

2 - 4 = -2

Then, since we need these two numbers in factored form, we have that the quadratic function is the same as (x + 2)(x - 4).

Therefore, the factored form for the quadratic function is (x + 2)(x - 4) ( option D).

We can also find these values using the quadratic formula, and after finding the roots for the equation, we only need to change the signs of the obtained roots to have the factors of the quadratic expression.

2/3 + 1/4 = 11/12

Fractions are very important in many areas such as math, physics, engineering, chemistry and many more, understanding how to add fractions with unlike denominators is a fundamental skill that will help you in many aspects of your life.

Adding fractions with unlike denominators can be a bit tricky, but with the right understanding and techniques, it's definitely doable.

When we add fractions with unlike denominators, we need to first find a common denominator. A common denominator is a number that is a multiple of both denominators. Once we have a common denominator, we can add the fractions as usual by adding the numerators and keeping the denominator the same.

Here are a few examples of adding fractions with unlike denominators:

2/3 + 1/4

We can find a common denominator by finding the least common multiple (LCM) of 3 and 4. The LCM of 3 and 4 is 12.

So, we can convert 2/3 to 8/12 by multiplying the numerator and denominator by 4.

We can convert 1/4 to 3/12 by multiplying the numerator and denominator by 3.

Now we can add the fractions by adding the numerators: 8/12 + 3/12 =

1/5 + 2/7

We can find a common denominator by finding the least common multiple (LCM) of 5 and 7. The LCM of 5 and 7 is 35.

So, we can convert 1/5 to 7/35 by multiplying the numerator and denominator by 7.

We can convert 2/7 to 10/35 by multiplying the numerator and denominator by 5.

So, we can convert 3/4 to 9/12 by multiplying the numerator and denominator by 3.

We can convert 1/3 to 4/12 by multiplying the numerator and denominator by 4.

Now we can add the fractions by adding the numerators: 9/12 + 4/12 = 13/12

So, 3/4 + 1/3 = 13/12

It's important to note that when adding fractions, it's also important to simplify the final result if possible.

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Answer:

See below

Step-by-step explanation:

Basically, the associative property states that when an expression has three terms, they can be grouped in any way to solve that expression.

For example, \((8*4)*5=8*(4*5)\) if you're doing multiplication, or \((8+4)+5=8+(4+5)\), if you're doing addition.

Answer:

8 kg 6g, 8.06 kg , 8600g

Step-by-step explanation:

If you get this correct, don't forget to drop rating.

Step-by-step explanation:

convert every option in kg to the same unit in g

1kg=1000g

so 8kg = 8×1000 = 8000g

8.06kg = 8.06×1000 = 8060g

now the values can be written as

8060g, 8000g, 6g, 8600g

now arranging in increasing order I.e from smallest to biggest:

6g 8000g 8060g 8600g

which in its original unit is

6g 8kg 8.06kg 8600g

Answer:

$42?

Step-by-step explanation:

Answer:

g(f(x)) = 6x^2 + 8x - 25

Step-by-step explanation:

So, first we have to substitute f(x) into the place of x in the g(x). This will be shown as g(f(x)) (which is what we need to solve). Next, we have to substitute 3x^2 + 4x - 7 into the place of x in 2x - 11. We do this because we had to substitute f(x) into the place of x in g(x).

So this is how your equation should look, and then solve:

g(f(x)) = 2(3x^2 + 4x - 7) - 11

g(f(x)) = 6x^2 + 8x - 14 - 11

g(f(x)) = 6x^2 + 8x - 25   < ---- This is your answer

Hope this helps!

Answer:

3rd

Step-by-step explanation:

Answer:

(4.75, 2.25)

Step-by-step explanation:

Given the coordinate (x,y). If this coordinate is reflected over the x axis, the resulting coordinate will be (x, -y)

Note that the y coordinate was negated.

Let the original point needed be (x, y)

If the new point is located at (4.75, -2.25)

Since the y coordinate was negated, then;

-y = -2.25

y = 2.25

x = 4,75 (x coordinate remains the same)

Hence the original point is (4.75, 2.25)

These partitions represent all the unique combinations of odd numbers that add up to 6.

To answer this question, we need to consider the different ways that we can partition the number 6 using only odd numbers.
First, let's list out all the possible odd numbers that we can use: 1, 3, and 5.
To partition 6, we can start with using just one odd number:
- 1 + 5
- 3 + 3
If we use two odd numbers, we can have:
- 1 + 1 + 1 + 3
- 1 + 1 + 5
- 1 + 3 + 1
- 1 + 5 + 1
- 3 + 1 + 1
- 3 + 3
If we use three odd numbers, we can have:
- 1 + 1 + 1 + 1 + 1 + 1
- 1 + 1 + 1 + 3
- 1 + 1 + 3 + 1
- 1 + 1 + 5
- 1 + 3 + 1 + 1
- 1 + 3 + 3
- 1 + 5 + 1
- 3 + 1 + 1 + 1
- 3 + 1 + 3
- 3 + 3 + 1
- 5 + 1 + 1
- 5 + 1
In total, there are 11 different ways to partition 6 using only odd numbers.
There are three different ways to partition the number 6 using only odd numbers (1, 3, 5, ...). These partitions are:
1. 1 + 1 + 1 + 1 + 1 + 1 (six ones)
2. 1 + 1 + 1 + 3 (three ones and one three)
3. 3 + 3 (two threes)
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Answer: 3x - 23

Step-by-step explanation:

To solve the equation goes thus:

= 2(x-7)+x-9.

We have to open the bracket first

= 2x - 14 + x - 9

We then collect like terms

= 2x + x - 14 - 9

= 3x - 23

Therefore, the answer is 3x - 23

Answer:

a) 44

b) 11

c) 4

Step-by-step explanation:

a) x + 46 = 90

   x = 90 - 46

   x = 44

b) 9x + 81 = 180

   9x = 180 - 81

   9x = 99

     x = 11

c) (5x + 30) + 40 = 90

   (5x + 30) = 90 - 40 = 50

    5x + 30 = 50

    5x = 50 - 30

    5x = 20

       x = 4

Answer: The answer is 50°

Step-by-step explanation: 65 + 65=130    180-130=50

Answer:

The answer to this is $39

Answer:

$39

Step-by-step explanation:

7 × 4 = 28

28 + 11 = 39

$39

To find the lengths of the shortest paths from a source vertex s to all other vertices in a graph g in O(|V| |E|) time, we can use Dijkstra's algorithm, a popular graph traversal algorithm that works efficiently for non-negative edge weights.

Dijkstra's algorithm starts by initializing the distance to the source vertex as 0 and all other distances as infinity. It maintains a priority queue to select the vertex with the minimum distance at each step. It iteratively explores the adjacent vertices, updating their distances if a shorter path is found. This process continues until all vertices have been visited.

By using a suitable data structure, such as a min-heap, for efficient priority queue operations, Dijkstra's algorithm can achieve a time complexity of O(|V| log|V| + |E|), which can be approximated as O(|V| |E|) for dense graphs (when |E| is close to |V|^2).

Therefore, by applying Dijkstra's algorithm, we can find the lengths of the shortest paths from s to all other vertices in graph g in O(|V| |E|) time complexity.

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The last term is 300

The sum of all the terms is 15150.0

The average of all the terms is 151.5

Here is an example solution in Python that follows the given pseudocode:

# Prompt for and read the first term

first_term = int(input("Enter first term: "))

# Prompt for and read the common difference

common_difference = int(input("Enter common difference: "))

# Prompt for and read the number of terms

number_of_terms = int(input("Enter number of terms: "))

# Calculate the last term

last_term = first_term + (number_of_terms - 1) * common_difference

# Calculate the sum of all the terms

sum_of_terms = number_of_terms * (first_term + last_term) / 2

# Calculate the average of all the terms

average_of_terms = sum_of_terms / number_of_terms

# Display the results

print("The last term is", last_term)

print("The sum of all the terms is", sum_of_terms)

print("The average of all the terms is", average_of_terms)

If you run this code and enter the values from the sample run (first term: 3, common difference: 3, number of terms: 100), it will produce the following output:

The last term is 300

The sum of all the terms is 15150.0

The average of all the terms is 151.5

The program prompts the user for the first term, common difference, and number of terms. Then it calculates the last term using the given formula. Next, it calculates the sum of all the terms and the average of all the terms using the provided formulas. Finally, it displays the calculated results.

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Answer:

No the question iant a function

The coefficient of x^11 in b^m x^m/(1 - bx)^m + 1 is zero.

To find the coefficient of x^11 in the given functions, we'll apply the binomial theorem or other appropriate techniques. (a) x^2(1 - x)^-10

The coefficient of x^11 in x^2(1-x)^-10 is obtained by choosing a power of x^2 and a power of (1-x) such that their product is x^11.

There are many ways to write x^11 using these two quantities, but the only way that gives a non-zero coefficient is to choose x^2 from the first term and (1-x)^9 from the second term.

Therefore, the coefficient of x^11 is equal to:C(10+9-1,9) x^2(1-x)^9 = C(18,9) x^2(1-x)^9 = 48620x^2(1-x)^9(b) x^2 - 3x/(1 - x)^4

We can write x^2 - 3x/(1 - x)^4 = x^2 - 3x(1-x)^-4 as a power series expansion of the form ∑n≥0 a_nx^n. Using the binomial theorem to expand (1-x)^-4, we get:a_n = (-1)^n C(n+3-1,3-1) (-3)^(n-1) for n ≥ 1.For n=1, we have a_1 = -6, and for n=6, we have a_6 = 315.

For all other values of n, we have a_n = 0.The coefficient of x^11 in x^2 - 3x/(1 - x)^4 is therefore zero.(c) (1 - x^2)^5/(1 - x)^5

We can write (1 - x^2)^5/(1 - x)^5 as a power series expansion of the form ∑n≥0 a_nx^n.

Using the binomial theorem to expand (1-x^2)^5, we get:a_n = (-1)^k C(5,k) C(n+4-2k,k) for n ≥ 0 and k ≤ 5.For k=0, we have a_n = (-1)^n C(n+4,4), and for k=1, we have a_n = (-1)^n C(5,1) C(n+2,2).For all other values of k, we have a_n = 0.

The coefficient of x^11 in (1 - x^2)^5/(1 - x)^5 is therefore zero.(d) x + 3/1 - 2x + x^2We can write x + 3/1 - 2x + x^2 = x(1-x) + 3(1-x)^-1 as a power series expansion of the form ∑n≥0 a_nx^n. Using the binomial theorem to expand (1-x)^-1, we get:a_n = (-1)^n C(n+1-1,1-1) 3^n for n ≥ 0.

For n=1, we have a_1 = 3, and for n=2, we have a_2 = -2.For all other values of n, we have a_n = 0.The coefficient of x^11 in x + 3/1 - 2x + x^2 is therefore zero.(e) b^m x^m/(1 - bx)^m + 1

We can write b^m x^m/(1 - bx)^m + 1 as a power series expansion of the form ∑n≥0 a_nx^n. Using the binomial theorem to expand (1-bx)^-m, we get:a_n = (-1)^k C(m+k-1,k) b^mk^n for n ≥ m.For n=m, we have a_m = b^m C(m-1,m-1).For all other values of n, we have a_n = 0.

The coefficient of x^11 in b^m x^m/(1 - bx)^m + 1 is therefore zero.

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Answer:

?

Step-by-step explanation:

???????????????

The slope of the line is -1.

A line's slope is defined as the ratio of the change in y coordinate to the change in x coordinate.

Now the given points are : (-4,6) and (-1,3)

We know that the slope of a line is given by :

\(m=\frac{y_2-y_1}{x_2-x_1}.\)

Now we can put the values of the points to get the slope as

\(m=\frac{3-6}{-1-(-4)}\\\\\)

or , m = -1

Hence the slope of the line is -1

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Answer:

A dependent variable represents a quantity whose value depends on how the independent variable is manipulated. y is often the variable used to represent the dependent variable in an equation.

Step-by-step explanation:

Statistics computed for larger random samples tend to be less variable compared to statistics computed for smaller random samples.

This statement is based on the concept of the Central Limit Theorem (CLT) in statistics. According to the CLT, as the sample size increases, the distribution of the sample mean approaches a normal distribution regardless of the shape of the population distribution. This means that the variability of the sample mean decreases as the sample size increases.

The variability of a statistic is commonly measured by its standard deviation or variance. When working with larger random samples, the individual observations have less impact on the overall variability of the statistic. As more data points are included in the sample, the effects of outliers or extreme values tend to diminish, resulting in a more stable and less variable estimate.

In practical terms, this implies that estimates or conclusions based on larger random samples are generally considered more reliable and accurate. Researchers and statisticians often strive to obtain larger sample sizes to reduce the variability of their results and increase the precision of their statistical inferences.

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Answer:

ok so the equation will be

35d+28=203

-28

35d=175

divide by 35

d=5

she drove to work 5 times

Hope This Helps!!!

Answer:

(2, 3)

Step-by-step explanation:

because the triangle moved 2 times to the right (x) and 3 times higher (y)