How many solutions does the system of equations below have?

y = –6x + 5
y
=
–6
x
+
1
2

The smallest number that can be subtracted from each number to obtain a perfect square of 996058 is 998.

To find the smallest number that can be subtracted from each number so that the difference is a perfect square of 996058, we need to find the square root of 996058 and round it down to the nearest whole number.

The square root of 996058 is approximately 998.027. Rounding it down gives us 998.

Therefore, the smallest number that can be subtracted from each number to obtain a perfect square of 996058 is 998.

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The correct question is given thus:

what smallest number could be subtracted from each number so that the difference is a perfect square number of 996058?

Answer:

1152 is the volume

Step-by-step explanation:

you welcome

Step-by-step explanation:

let x be the distance between B and P

tan(67)=x/5000

x=2.3558 . 5000

x=11779feet

Answer:

11,779 feet

Step-by-step explanation:

Is the answer

Answer: 40

Step-by-step explanation: x=−3

(−3)2−(7)(−3)+10

(−3)2−(7)(−3)+10

=40

The name of an item that a person can only buy once in one's lifetime are:

These are known to be a product that one can buy and a person can use for a lifetime until they grow tired of using it.

Note that not all product can or need to last forever but there are a lot of products that can actually do. some of which are:

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Answer:

24

Step-by-step explanation:

9-3=6 and 6 divided by 1/3 is 18. then u  add 18 plus 6 and that'll give u 24.

The secret number is 564 as we solve it by given question.

jack's favorite number is 836 so here we have number 836 and

jill subtracts a secret number from 836 and her answer is the smallest possible combination of all the digits from jack's favorite number

so here we have a number 836

let we subtract x from 836 to get a number which is smallest number by using 836

the number which we can make by using these 3 degits are

368, 386, 638, 683, 836, 863 anf from all these numbers the smallest number which can be using 836 is 368

as given in question we have 836 and we will subtract x and get 368 so

836 - x = 368

x = 836 - 368

x = 564

the secrets number is 564.

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The term "difference" relates to subtraction, thus since they are looking for an unknown number's "difference," we can utilize the variable "x." X-7

Subtraction is an operation to find the difference of two numbers; yet, the outcome of subtraction is a difference.

The greater-than sign is represented by the letter >. Therefore, 9>7 is understood to mean "9 is greater than 7." The sign for less than is. (greater than or equal to) and are two more comparison symbols (less than or equal to).

The larger than, less than, and equal to signs are referred to as our "at least" signs.

7 divided by a number equals x-7.

Four times is four or four.

At the very least = -52 = Response negative 52

Connect them all,

x-7(4)<-52

4(x - 7) ≥ -52

4x - 28 ≥ -52

4x ≥ -24

x ≥ -6.

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So the slope of the line between these two points is 0.177, which can be rounded to 0.18

To calculate the slope of a line between two points, you need to use the following formula:

slope = (y2 - y1) / (x2 - x1)

Where (x1, y1) and (x2, y2) are the coordinates of the two points. In this case, we are using weight as the explanatory variable, so x1 = 3.5 (the weight of the rat), y1 = 4.5 (the cost of feeding the rat), x2 = 30 (the weight of the beagle), and y2 = 9.2 (the cost of feeding the beagle). Plugging these values into the formula, we get:

slope = (9.2 - 4.5) / (30 - 3.5)

slope = 4.7 / 26.5

slope = 0.177

So the slope of the line between these two points is 0.177, which can be rounded to 0.18. The slope represents the average change in the dependent variable (feed cost) per unit change in the independent variable (weight). So, in this case it means that the feed cost increase of 0.18 dollar per pound.

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Using weight as the explanatory variable, the slope of the line between two points (3,5, 4.50) and (30, 9.20) is 0.17

In this question we have been given a Rat weighs 3. 5 pounds and costs $4. 50 per week to feed, while a Beagle weighs 30 pounds and costs $9. 20 per week to feed.

Using weight as the explanatory variable, we need to find the slope of the line between these two points.

Here weight is  the explanatory variable i.e., an independent Variable

This means, we place the values of weight on the x-axis and the feed cost on the y-axis.

So, the two data points from the weight and feed cost data set would be:

(3,5, 4.50) and (30, 9.20)

Let m be the slope of line between these two points

Using the formula of slope,

m = (9.20 - 4.50) / (30 - 3)

m = 0.1741

m = 0.17

Therefore, the required slope is 0.17

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The chapter test from maths teacher will contain 15 questions of worth 4 points.

Let the number of questions having weightage of 4 marks be x. Now, we know that problems will only be worth 2 and 4 points. Also we know that some of these problems will be 35. Thus, let us form the equation.

20 + x = 35

Rewriting the equation according to x

x = 35 - 20

Performing subtraction on Right Hand Side of the equation

x = 15

Thus, there will be 15 questions of 4 points.of the maths test to be conducted next week.

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Answer:

5.3

Step-by-step explanation:

The simplified trigonometric expression in this problem is defined as follows:

sin(3x)/sin²(x) = 3csc(x) - 4sin(x).

The trigonometric expression in this problem is defined as follows:

sin(3x)/sin²(x).

The equivalent expression for the sine of 3x is given as follows:

sin(3x) = 3sin(x) - 4 sin³(x).

Then the expression can be written as follows:

(3sin(x) - 4 sin³(x))/sin²(x)

The subtraction is in the numerator, hence the expression can be simplified as follows:

3sin(x)/sin²(x) - 4sin³(x)/sin²(x)

3/sin(x) - 4sin(x)

One divided by the sine is equivalent to the cossecant, hence:

3/sin(x) - 4sin(x) = 3csc(x) - 4sin(x).

Meaning that the first option among those given on the image at the end of the answer is correct.

The problem is given by the image shown at the end of the answer.

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Answer:

5

Step-by-step explanation:

reminder of rules for division

• If signs are the same then positive result

• If signs are different the negative result

\(\frac{8}{-4}\) + 7 ( signs of division are different )

= - 2 + 7

= 5

Answer:

5

Step-by-step explanation:

Order of operations PEMDAS / PleasExcuseMyDearAuntSally

1Parentheses 2Exponents 3Multiplication 4Division 5Addition 6Subtraction

8 divided by (-4) + 7 = 5

step 1 parentheses

(-4) = (-4)

(example for other parentheses problems:

8*(12-7)+3 =

step 1

(12-7) = 5

step 2

8*5+3 = 43 )

step 2

(no multiplication or exponents in the problem)

8 divided by (-4) = -2

step 3

-2 + 7 = 5

The equation representing the situation is: Total Earnings = (Number of Car Washes) × (Charge per Car Wash) + (Tips)

To represent the situation where Rhett made 250 car washes with his mobile car wash company, charging $75.00 per car wash and receiving $35.00 in tips, we can use an equation. The equation captures the total earnings and takes into account the number of car washes, the charge per car wash, and the tips received.

The first part of the equation, (Number of Car Washes) × (Charge per Car Wash), calculates the earnings from the car washes themselves. In this case, Rhett made 250 car washes and charged $75.00 per car wash, so the expression would be 250 × $75.00.

The second part of the equation, (Tips), accounts for the additional income received in the form of tips. In this case, Rhett received $35.00 in tips.

By combining these two components, we get the equation: Total Earnings = (250 × $75.00) + $35.00, which represents the total earnings made by Rhett through his mobile car wash business.

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Answer:

b=?(x)

h=2.9

A=5.8

A=b×h/2

5.8=2.9x/2

5.8×2=2.9x

11.6=2.9x

11.6/2.9=x

4=x

If area of the triangle  is 5.8 square meters then the length of the base is 4 meters.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Area of the given triangle is five point eight square meters.

The height of the triangle is two point nine meter (2.9 m).

We need to find the length of the base.

Area of triangle =1/2×Base×Height

5.8 = 1/2 ×Base × 2.9

5.8=1.45 Base

Divide both sides by 1.45

Base = 5.8/1.45

Base = 4 meters

Hence, if area of the triangle  is 5.8 square meters then the length of the base is 4 meters.

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We can see that the values of H can be found dividing each value of G by 4. So, the answer is:

Each term in Pattern G is 4 times the corresponding term in Pattern H.

the only student that is correct is Stepheh. "The vertex is at (–4, –1)."

Here we have the quadratic equation:

f(x) = (x + 3)*(x + 5)

The first claim is: "The y-intercept is at (15, 0)."

This is clearly false, as the y-intercept is at x = 0, and in that point we have x = 15.

The second claim is:

"The x-intercepts are at (–3, 0) and (5, 0)"

This is false, in the factored equation we can see that the x-intercepts are x =-3 and x = -5.

Third claim:

"The vertex is at (-4, -1)"

The middle value between the zeros is:

(-3 + (-5))/2 = -4

Evaluating the function in x = -4 we get the y-value of the vertex:

f(-4) = (-4 + 3)*(-4 + 5) = -1*1 = -1

So the vertex is at (-4, -1), this claim is true.

The fourth claim is:

"The midpoint between the x-intercepts is at (4, 0)."

Which is false, we already saw that the midpoint between the x-intercepts is at x = -4

Then the only student that is correct is Stepheh. "The vertex is at (–4, –1)."

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Answer:

1538.6cm^3

Step-by-step explanation:

See the image for solution

Hope it helps

Have a great day

Without the actual data or information on the relationship between the weight of yellow-spotted salamanders and the number of yellow spots on their back.

The choice of the trend line would depend on the nature of the relationship observed in the specific data set. To determine the best-fitting trend line for the relationship between the weight of yellow-spotted salamanders and the number of yellow spots on their back, we would need the actual data points and perform a regression analysis. This analysis would help identify the nature of the relationship (linear, quadratic, exponential, etc.) between the variables.

Based on the characteristics of the data, such as linearity or curvature, the most appropriate trend line could be selected. However, since we do not have access to the data or any information about the relationship between weight and spot count, we cannot determine which trend line would best fit the data without further information.

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Answer: I believe it would be no solution

Step-by-step explanation

Answer:

No solutions

Step-by-step explanation:

y=7x+12;y=7x+2

Step: Solvey=7x+12for y:

y=7x+12

Step: Substitute7x+12foryiny=7x+2:

y=7x+2

7x+12=7x+2

7x+12+−7x=7x+2+−7x(Add -7x to both sides)

12=2

12+−12=2+−12(Add -12 to both sides)

0=−10

Answer:

a/9 - 4

Step-by-step explanation:

The expression will be (x/9) - 4.

It is given that a number x is the quotient of a number and 9 decreased by 4.

We have to find the variable expression for this.

What will be the expression for , 2 times of a number minus 4 ?

The expression will be 2x -4.

Quotient of a number and 9

= x / 9

Decrease this by 4 ; we get

= (x / 9 ) - 4

Thus , the expression will be (x/9) - 4.

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Answer:

A

Step-by-step explanation:

I think its A.. correct me if im wrong

Answer:

B

Step-by-step explanation:

Answer: A reflection is a transformation representing a flip of a figure. When reflecting a figure in a line or in a point, the image is congruent to the preimage. ... A reflection maps every point of a figure to an image across a fixed line. The fixed line is called the line of reflection.

The leading coefficient determines the shape of the graphs, such as how

the characteristic of a function are directed.

Correct response:

The graphs that represents functions that have a negative leading

coefficient are;

Graph A:

The function in graph A is x³

When the coefficient of x³ is negative, the value of the function rises as x decreases from 0 to -∞, and decreases as x increases from 0 to ∞

Therefore;

Graph B:

The value of the graph decreases as the magnitude of x increases

therefore, the graph is similar to a quadratic function, such that the leading

coefficient is negative, which inverts the function to give increasing output

with negative value as the value of x increases.

Therefore;

Graph C:

The given function in graph C is a linear function having a negative slope,

therefore;

Graph D:

The function of the graph in Graph D, that have y values that increases

exponentially as x increases is a quadratic function.

Given that y increases as the value of x increases, the leading coefficient

(coefficient of x²) is positive.

Therefore;

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Answer:

It's -0.5 when substitute the value of x into the right side and solve.

Step-by-step explanation:

To find the number of people who like all three fruits, we can use the principle of inclusion-exclusion.In a group of 6 people, 45 like apples, 30 like bananas, and 15 like oranges.

The total number of people who like only two fruits is 22, and they like at least one of the fruits.

Let's break it down:
- The number of people who like apples only is 45 - 22 = 23.
- The number of people who like bananas only is 30 - 22 = 8.
- The number of people who like oranges only is 15 - 22 = 0 (since there are no people who like only oranges).
To find the number of people who like all three fruits, we need to subtract the number of people who like only one fruit from the total number of people in the group:

6 - (23 + 8 + 0)

= 6 - 31

= -25.
Since we can't have a negative number of people, there must be an error in the given information or the calculations. Please check the data provided and try again.

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There are no people in the group who like all three fruits. In a group of 6 people, 45 like apples, 30 like bananas, and 15 like oranges. We need to find the number of people who like all three fruits. To solve this, we can use a formula called the inclusion-exclusion principle.

This principle helps us calculate the number of elements that belong to at least one of the given sets.

Let's break it down:

1. Start by adding the number of people who like each individual fruit:
  - 45 people like apples
  - 30 people like bananas
  - 15 people like oranges

2. Next, subtract the number of people who like exactly two fruits. We know that there are 22 people who fall into this category, and they also like at least one of the fruits.

3. Finally, add the number of people who like all three fruits. Let's denote this number as "x".

Using the inclusion-exclusion principle, we can set up the following equation:

    45 + 30 + 15 - 22 + x = 6

Simplifying the equation, we get:

    68 + x = 6

Subtracting 68 from both sides, we find that:

    x = -62

Since the number of people cannot be negative, we can conclude that there are no people who like all three fruits.

In conclusion, there are no people in the group who like all three fruits.

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Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

The Edit Distance Algorithm is an important concept in computer science. The algorithm compares two strings and finds the minimum number of operations (insertions, deletions, and substitutions) that are required to transform one string into the other.

Below is the solution to the given question:

X = (B, A, N, A, N, A)      

Y = (P, A, N, D, O, R, A)

Table to compute Edit Distance:

P A N D O R A 0 1 2 3 4 5 6 B 1 1 2 3 4 5 6 A 2 1 2 3 4 5 6 N 3 2 1 2 3 4 5 A 4 3 2 3 4 5 6 N 5 4 3 2 3 4 5 A 6 5 4 3 4 5 4

The table shown above contains the minimum number of operations required to transform one string into the other. The top row represents string Y, and the left column represents string X. The table is filled using the following formula: If the characters at the current position are the same, then the value is taken from the diagonal element. (In this case, no operation is required.)

If the characters are different, then the value is taken from the minimum of the three elements to the left, above, and diagonal to the current element. (In this case, the operation that produces the minimum value is chosen.)

From the table above, the optimal solution can be found by tracing back the path that produced the minimum value. Starting from the bottom right corner, the path that produces the minimum value is:

A  -> R (Substitution)

O -> O (No operation)

D -> N (Substitution)

N -> A (Substitution)

A -> A (No operation)

P -> B (Substitution)

Therefore, the optimal solution is to substitute A with N, N with D, A with N, and P with B. So, (B, A, N, A, N, A) can be transformed into (P, A, N, D, O, R, A) using four operations.

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