Please help me. I'll give you guys a brainliest. Which proportional relationship has the greatest unit rate: the table or the equation? Tell me how u got the answer.
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Answer:

  y +1 = -5(x -4)

Step-by-step explanation:

You want the point-slope equation of the line with slope -5 through point (4, -1).

The point-slope equation of a line has the form ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

Substituting m=-5 and (h, k) = (4, -1), the equation is ...

  y -(-1) = -5(x -4) . . . . . . values substituted

  y +1 = -5(x -4) . . . . . . . simplified a bit

Answer:

120

Step-by-step explanation:

trough dependent sarcasm

Answer: The probability that both events A and B will occur is 5/18 or 0.28.

Step-by-step explanation:

To determine the probability that both events A and B will occur, we need to calculate the probabilities of each event separately and then multiply them together.

Event A: The probability of rolling a 5 or 6 on the first die is 2 out of 6 (since there are two favorable outcomes out of six possible outcomes on a fair six-sided die). Therefore, the probability of event A is 2/6 or 1/3.

Event B: The probability of not rolling a 1 on the second die is 5 out of 6 (since there are five favorable outcomes out of six possible outcomes). Therefore, the probability of event B is 5/6.

To find the probability that both events A and B occur, we multiply the probabilities:

Probability(A and B) = Probability(A) * Probability(B) = (1/3) * (5/6) = 5/18.

Answer:

5 times

Step-by-step explanation:

5/1=5

Answer:

5 times

Step-by-step explanation:

5/1=5 or 1+1+1+1+1=5

The student made the mistake of factoring both the numerator and denominator and then canceling out common factors.

An algebraic expression is a mathematical phrase that contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. It represents a quantity or a relationship between quantities and is used to solve problems in mathematics and other fields such as physics, engineering, and finance.

This is incorrect because not all factors in the numerator and denominator are the same. The numerator factors as (x+1)(x+2), while the denominator factors as (x+4)(x+2). Although both factors have (x+2) in common, the numerator also has a factor of (x+1) that is not present in the denominator. Therefore, we cannot simply cancel out the (x+2) terms in the numerator and denominator. The correct simplification would be to write:

\(\frac{x^{2}+3x+2 }{x^{2} +6x+8} =\frac{(x+1)(x+2)}{(x+4)(x+2)}\)

This mistake is common in Algebra because canceling out common factors is a valid simplification technique for some expressions, but it only works when all factors are the same in both the numerator and denominator. In this case, the student incorrectly assumed that all the factors were the same and canceled them out without checking.

I have made similar mistakes in the past, especially when working quickly or under pressure. To avoid making this mistake, I try to slow down and double-check my work, especially when simplifying expressions. I also try to factor carefully and make sure that all factors are the same in both the numerator and denominator before canceling them out.

My advice to future Algebra 2 students would be to take their time when simplifying expressions and to double-check their work. They should also make sure to factor carefully and check that all factors are the same before canceling them out. It's better to work slowly and accurately than to rush through problems and make careless mistakes. Finally, they should practice similar problems to reinforce the correct simplification technique.

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Answer:

23

Step-by-step explanation:

4x+3 if x = 5

then

4(5)+ 3

4 x 5 is 20

20 +3 is 23

so F(x=5) = 23

Answer:

Hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x-2)(x-2)(x-4)

Answer:

Angle A = tan^-1(11/5)
Angle C = 90 - tan^-1(11/5)
AC = sqrt(146)

Step-by-step explanation:

As this is a right triangle, we can apply the Pythagorean theorem a^2 + b^2 = c^2, where c is the hypotenuse while a and b are the legs, to solve for AC.

11^2 + 5^2 = AC^2

121 + 25 = AC^2

146 = AC^2

sqrt(146) = AC^2

Next, to find angle A, we can use one of the trigonometric functions. Let’s use tangent for simplicity. Tangent of an angle is “opposite divided by adjacent”. If we set the angle to A, opposite is side BC and the adjacent is side AB. Thus, tan(A) = 11/5 and tan^-1(11/5) = A.
Since the sum of angles in a triangle is 180, we can find angle C by setting up this equation: C = 180 - 90 - tan^-1(11/5), which is 90 - tan^-1(11/5)

Answer:

Table C

Step-by-step explanation:

For x and y to be proportional , then the values of

\(\frac{y}{x}\) = constant k

Table B

\(\frac{y}{x}\) = \(\frac{6}{3}\) = 2

\(\frac{y}{x}\) = \(\frac{24}{6}\) = 4

\(\frac{y}{x}\) = \(\frac{36}{9}\) = 4

The values are not constant

Table C

\(\frac{y}{x}\) = \(\frac{2}{3}\)

\(\frac{y}{x}\) = \(\frac{4}{6}\) = \(\frac{2}{3}\)

\(\frac{y}{x}\) = \(\frac{6}{9}\) = \(\frac{2}{3}\)

These values are constant

Then Table C shows a proportional relationship between x and y

Answer: C

Step-by-step explanation:

By the alternate interior angles theorem, we know that \(5y+14=8y-13 \longrightarrow y=9\).

So, this means that \(m\angle RPS=59^{\circ}\).

Now, if we consider \(\triangle RPS\), since angles in a triangle add to \(180^{\circ}\), this means that \(59+2x+1+3x=180 \longrightarrow x=24\).

So, \(m\angle RSP=\boxed{59^{\circ}}\)

Answer:

Step-by-step explanation:

y = -1/2x - 1 and x = -2,0,2

y1 = [- 1/2*(-2) ] -1 = [(-1)/(-4) ]-1 = 0 ,25 -1 = -0,75

when you have :

(-) / (-) = (+)

(-) / (+) = (-)

(-) + (-) = (-)  

if x = 0 (can't divide by zero )

if x = 0,2

y2=  [- 1/2*(0,2) ] -1 = [(-1)/(0,4) ]-1 = - 2,5  -1 = - 3,5

so for your graph you will have :

x1 = -2

x2 = 0,2

y1 = - 0,75

y2= -3,5

Answer:

(2x - 9)(x + 6) .

Step-by-step explanation:

2x^2 + 3x - 54

Use the 'ac' method to do this.

First multiply the first number by the last:

2 * -54 = -108.

Now we want 2 numbers whose product is -108 and whose sum is + 3,

- these are +12 and -9, so we write:

2x^2 + 12x - 9x - 54        Now factor by grouping:

= 2x(x + 6) - 9(x + 6)        x +6 is common, so:

= (2x - 9)(x + 6) .

Answer:

(x,y)=(0,4)

Step-by-step explanation:

write as systems as equations, multiply both sides of the equation by -1, sum the equations vertically to eliminate at least one variable, divide both sides of the equation by -19, substitute the given value of x into the equation 5x+y=4, The possible solution of the system is the ordered pairs (x,y) =(0,4), then you're done. whew. ;)

Answer:

i am pretty sure it is 95

Step-by-step explanation:

Answer:

B IS THE ANSWER.

Step-by-step explanation:

The angle is less than 50 degrees but more than 30.

Answer:

3.88 (put a bar on top of '88')

Step-by-step explanation:

Answer:

672

Step-by-step explanation:

If we call the number of non-fiction books as x, the number of fiction books would be 3x. Therefore: we can write the following equation:

3x - 120 = 2(x - 24)  ← the 3x - 120 and x - 24 represents the new number of books

3x - 120 = 2x - 48

x - 120 = 48

x = 168 which means 3x = 3 * 168 = 504, therefore the total number of books is 168 + 504 = 672.

Answer:

pt1 = d and pt 2= c and d

Step-by-step explanation:

Answer:

I know for fact part A is correct but I’m iyffy abt part B

Step-by-step explanation:

Hope it helps

Answer:

slope:1/4

y-intercept 0,2

                  4,3

Step-by-step explanation:

The error that was made in finding the area of the circle is that diameter was used for radius. The correct area of the circle is: 113.10 ft²

The formula for area of a circle is expressed as:

A = πr²

where:

A is Area

r is radius

From the given circle, we are given the diameter as 12.

But radius = diameter/2 = 12/2

radius = 6

Thus, the error is that they used the diameter as radius.

Correct area of circle = π * 6²

= 36π

= 113.10 ft²

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The percentage as a fraction is 29/100 and 0.29 as decimal

From the question, we have the following parameters that can be used in our computation:

Number = 29%

Multiply the expression by 1

So, we have the following representation

Number = 29% * 1

Express 1 as 100/100

Number = 29% * 100/100

So, we have

Number = 29 * 1/100

This gives

Number = 29/100

Divide the expression

Decimal = 0.29

Hence, the fraction is 29/100

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Answer:

D

Step-by-step explanation:

Answer:

I belive it's Y = 3/2x - 1

Step-by-step explanation:

Let's say the rectangle's width is equal to y. We know that the length is three times the width, so the length = 3 * y. We also know that the area for a rectangle is equal to length * width, so the area, z, is equal to

(3*y) * y = z

3 * y² = z

Now, let's increase the width of the rectangle by 1. We can replace y with y+1 (as y+1 is 1 greater than y), and 3 * y with 3 * (y+1) to get

3*(y+1) * (y+1) = new area

(3y+3)*(y+1) = new area

3y²+3y +3 y + 3 = new area

3y² + 6y + 3 = new area

The difference in area is equal to the new area subtracted by the old area, or

3y²+6y+3 - 3y² = 6y +3. The variable for x is not given, so if x = (2y+1), the answer would be the second choice. However, solely using the information given, it is impossible to determine a solution outside of saying that it is not option 4, as 6y + 3 ≠ 3

Answer:

6 / 8 or 3 / 4

Step-by-step explanation:

Subtraction lol

Answer:

The difference is 0

Explanation:

Generally, between 25 and 40 books will fit per shelf. Since 24 is less than 25, we can say that 24 books will fit on one shelf, so the minimum and the maximum number of shelves that will be used is 1. Therefore, the difference is:

Maximum - Minimum = 1 - 1 = 0

Answer:

\(\huge\boxed{\sf 18^{-3}}\)

Step-by-step explanation:

\(\displaystyle \frac{18^4}{18^7}\)

So, the expression becomes:

= \(18 ^{4-7}\)

= \(18^{-3}\)

\(\rule[225]{225}{2}\)

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

x+6=y

Step-by-step explanation:

Answer:

The equation of this line is y = -4.

Answer:

y=-4

Step-by-step explanation:

zero slope m=0

y-y1=m(x-x1)

y-(-4)=0(x-(-9))

y+4=0

y=-4