start at 5 create a pattern that multiplies each no. by 3 and subtracts 2 stop when you have 5 no.

The factored form of [tex]\(x^2 - 6x + 9\)[/tex] is [tex]\((x - 3)^2\)[/tex].

To factor the expression [tex]\(x^2 - 6x + 9\)[/tex], we'll use a technique called "completing the square."

Write the expression [tex]\(x^2 - 6x + 9\)[/tex].

Identify the perfect square trinomial. Since (9) is a perfect square and (2) times the square root of (9) equals (6), we can rewrite the expression as [tex]\((x - 3)^2\)[/tex].

Check the correctness of your result by expanding [tex]\((x - 3)^2\)[/tex] to ensure it equals [tex]\(x^2 - 6x + 9\)[/tex]. Expanding [tex]\((x - 3)^2\)[/tex] gives us [tex]\(x^2 - 6x + 9\)[/tex], which matches the original expression.

So, the factored form of [tex]\(x^2 - 6x + 9\)[/tex] is [tex]\((x - 3)^2\)[/tex].

Answer:  6 steps forward and 6 steps backward

Hope this helped :D

Answer:

$190

Step-by-step explanation:

The salvage value can be modeled by the function y = kx, where x is the number of tons of steel, y is the salvage value, and k is the price per ton.

Pick a point from the table, (2, 380), and evaluate the function y = kx at this point.

Therefore, the price per ton for raw steel is $190.

Final answer:

Based on the provided table, the price per ton for raw steel is calculated by dividing the salvage value by the tons of steel. The consistent result across the table is $210 per ton, making the correct answer C. $210.

Explanation:

To determine the price per ton for raw steel based on the table provided, we need to analyze the consistent increase in salvage value with respect to the tons of steel. Looking at the table:

For 2 tons of steel, the salvage value is $420.

For 4 tons of steel, the salvage value is $840.

For 6 tons of steel, the salvage value is $1,260.

For 8 tons of steel, the salvage value is $1,680.

For 10 tons of steel, the salvage value is $2,100.

To find the price per ton, we can divide the salvage value by the number of tons of steel. For example:
$$420 \div 2\text{ tons} = $210 \text{ per ton}$$

The price per ton remains consistent for every salvage value given, confirming that the price per ton of raw steel is $210.

Therefore, the correct answer is C. $210.

Answer: 55%

Work:

99 + 121 = 220

121 / 220 = 0.55 = 55%

Answer:

The answer is D.

Step-by-step explanation:

First divide:

-24/-6 is 4.

Now you have 4 - 4

subtract:

4-4 = 0.

Option A is correct. The equivalent expression is −2.1−(5.9+3.7)

Given the expression −2.1+(−5.9)+(−3.7)

Before we can determine the equivalent expression, we need to first know that:

The given expression then becomes;

−2.1+(−5.9)+(−3.7) = -2.1 - 5.9 - 3.7

Factoring out the negative sign from the last two terms;

 -2.1 - 5.9 - 3.7 =  -2.1 - (5.9 + 3.7)

Hence the equivalent expression is −2.1−(5.9+3.7)

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To identify where the first digit of the quotient will go when dividing 3381 by 47 without actual division, start from the leftmost digit of 3381. Since 47 is a two-digit number, take the first two digits from 3381. Since 47 can be subtracted from '33' zero times, move to the next digit, forming '338'. The first digit of the quotient will be in the hundreds place.

To determine where to write the first digit of the quotient when dividing 3381 by 47 without actually performing the division, you can utilize an understanding of place values. Looking at the divisor, 47, it is a two-digit number. Hence, you need a two-digit number or greater from the dividend, 3381, to start the division.

Starting from the leftmost digit (the highest value place), we take the first two digits, which give us '33'. In this case, 47 can be subtracted from '33' only zero times. Therefore, move onto the next digit, forming '338', a 3-digit number. Now, 47 can be subtracted from '338', thus the first digit of the quotient will go in the hundreds place.

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The lower bound of the width of the rectangle is 19.35 mm. Without the length, we cannot determine the exact lower bound for the area of the rectangle. However, if we know the length, we can calculate it by multiplying the length by 19.35 mm.

The lower bound of the width of the rectangle, measured to one decimal place, is slightly less than the measured value. Thus, the lower bound of the width would be 19.35 mm (since we are accurate to 1 decimal place). However, without information about the length of the rectangle, we cannot exactly determine the lower bound of the area of the rectangle.

But if we assume the length to be a certain value (let's say 'L'), the lower bound for the area (A) would be the product of this length and the lower bound of the width. So,

A = L*19.35 mm.

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The x-intersection of y=4x+8 is at the point (-2,0) and the y-intersection is at the point (0,8).

We want to find the points where the line y=4x+8 intersects the x and y-axis.

For the x-intersection, we set y=0.

So, 0=4x+8, which simplifies to x = -2. So, the x-intersection is at the point (-2,0).

For the y-intersection, we set x=0.

So, y=4*0+8, which gives y = 8. So, the y-intersection is at the point (0,8).

To find the x-intercept, set y=0 and solve for x:

0 = 4x + 8

x = -2

So, the x-intercept is (-2, 0).

To find the y-intercept, set x=0 and solve for y:

y = 4(0) + 8

y = 8

So, the y-intercept is (0, 8).

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to convert Fahrenheit to Celsius

 subtract 32 then multiply by 5/9 

example 80 degrees F would be (80-32=48, 48 *5/9 = 26.66) 27 degrees C

Final answer:

The approximate mean score for all the students on the quiz, calculated by weighing the means by the number of students in each section, is 85.71, which rounds to 86. Thus, the best answer choice (B)  from those provided is 85.

Explanation:

To find the overall mean score for all the students on the quiz, we need to weigh the mean scores by the number of students in each section. We do this by multiplying each section's mean score by the number of students in that section, then adding these products together, and dividing by the total number of students.

For Section A: 15 students × mean score of 80 = 1200 total points.
For Section B: 20 students × mean score of 90 = 1800 total points.

The total points for both sections is 1200 + 1800 = 3000 points.

The total number of students is 15 + 20 = 35 students.

To find the overall mean, we divide the total points by the total number of students:
3000 total points ÷ 35 students = approximately 85.71.

Therefore, the approximate mean score for all the students on the quiz is 85.71, which, when rounded to a whole number, is 86. The closest answer choice given is B. 85, so that would be the best selection from the available options.

Answer:

0.6 blocks/min

25 min

Step-by-step explanation:

3 blocks ÷ 5 min = 0.6 blocks/min

15 blocks ÷ 0.6 blocks/min = 25 min

2/3 cup pineapple for every 1/3 cup OJ

 there are three 1/3 cups in 1 cup

 so multiply 2/3 by 3

 2/3 * 3 = 6/3 = 2

 2 cups of pineapple juice is needed

Answer:  The required number of brushes that each student receive is 12.

Step-by-step explanation:  Given that an  art teacher has 40 paint brushes.she divides them equally among her 4 students.

She finds 8 more brushes and divides these equally among the students, as well.

We are to find the number of brushes that each student receive.

The total number of brushes that divides among the 4 students is

[tex]n=40+8=48.[/tex]

Since there were 4 students, so the number of brushes that each student receive is

[tex]n_b=\dfrac{n}{4}\\\\\\\Rightarrow n_b=\dfrac{48}{4}\\\\\Rightarrow n_b=12.[/tex]

Thus, the required number of brushes that each student receive is 12.

Final answer:

The regular price of each scented candle is $21, calculated by adding the $2 discount to the sale price of $19.

Explanation:

The regular price of each candle can be calculated by adding the discount back to the sale price.

If each candle costs $19 after a $2 discount, we just need to add the $2 discount to the sale price to find the regular price.

To calculate the regular price:
$19 (sale price) + $2 (discount) = $21 (regular price)

So, the regular price of each scented candle is $21 before the discount is applied.

The solution to the equation -15 = -4m + 5 is m = 5.

We have,

To solve the equation -15 = -4m + 5, you can follow these steps:

- Step 1:

Start by isolating the variable term (-4m) on one side of the equation.

You can do this by subtracting 5 from both sides:

-15 - 5 = -4m

Simplifying, we get:

-20 = -4m

Step 2:

Divide both sides of the equation by -4 to solve for m:

-20 / -4 = -4m / -4

Simplifying, we get:

5 = m

Therefore,

The solution to the equation -15 = -4m + 5 is m = 5.

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There are 3 extra pallets will be there.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example,Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

We have.

The warehouse already has 27 pallets of stock waiting to be unloaded, and the delivery van arrives with another 8.

So, total pallets

= 27 + 8

= 35

Now, the number of extra pallets

= 35- 32

= 3 pallets

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