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Answer:

x³ - 5x² + 8x - 6

Step-by-step explanation:

(x² - 2x + 2)(x - 3) ← product is required

Each term in the second factor is multiplied by each term in the first factor , that is

x²(x - 3) - 2x(x - 3) + 2(x - 3) ← distribute all 3 parenthesis

= x³ - 3x² - 2x² + 6x + 2x - 6 ← collect like terms

= x³ - 5x² + 8x - 6 → (b)

Answer:

g( x)^2=x^2-6x+9=f(x)-4x+7, f(x)=g(x)^2-4g(x)-5=(g(x)-2)^2-9=(g(x)+7)×(g(x)-11)

f(x)=x^2-2x+2=g(×)^2+4x-7

Good evening ,

______

Answer:

x= -1

____________________

Step-by-step explanation:

-5X - 16 = 8x - 3​

⇔-5x-8x = -3+16

⇔-13x = 13

⇔x = -1

Answer:

x = -1

Step-by-step explanation:

-5X - 16 = 8x - 3​

add 5x on both sides

⇒ -5X - 16+5x= 8x -3 + 5x    

⇒ -16 = 13x -3

add 3 on both sides

⇒-16 + 3 = 13x -3 +3

⇒ -13 = 13x

divide both sides by 13

⇒ -13/13 =13x/13

∴ -1 = x

Answer:

The correct answer is 4.

Step-by-step explanation:

Hey!

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Steps To Solve:

4.6(x - 3) = -0.4x + 16.2

~Distributive property

4.6x - 13.8 = -0.4x + 16.2

~Add 0.4 to both sides

4.6x - 13.8 + 0.4= -0.4x + 16.2 + 0.4

~Simplify

5x - 13.8 = 16.2

~Add 13.8 to both sides

5x - 13.8 + 13.8 = 16.2 + 13.8

~Simplify

5x = 30

Divide 5 to both sides

5x/5 = 30/5

~Simplify

x = 6

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Answer:

[tex]\large\boxed{x~=~6}[/tex]

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Hope This Helped! Good Luck!

The repair took:

                    2 hours and 45  minutes.

The worker charges $54 for the first hour, and $15.50 for each additional 15 minutes.

Let he does a job of additional 15 minutes for: x times.

This means that:

Cost for additional minutes will be: $ 15.50x

Hence, his total cost will be equal to: 54+15.50x

i.e.

54+15.50x=162.50

i.e.

15.50x=162.50-54

i.e.

15.50x=108.50

i.e.

x=108.50/15.50

x=7

Hence, the work took a total of:

60+15×7=165 minutes

which is: 2 hours and 45 minutes.

Answer:

(a) 3,874 students.

(b) 46,488 students.

Step-by-step explanation:

We have been given the each grade level at Hooperville Schools has 298 students.

(a) To find the number of students that attend Hooperville Schools, we will multiply the number of grades by 298.

[tex]\text{Students that attend Hooperville Schools}=13\times 298[/tex]

[tex]\text{Students that attend Hooperville Schools}=3,874[/tex]

Therefore, 3,874 students attend Hooperville Schools.

(b) We have been given that nearby district, Willington, is much larger. They have 12 times as many students.

To find the number of students that attend schools in Willington, we will multiply number of students at Hooperville schools by 12.

[tex]\text{Students that attend Willington Schools}=12\times 3,874[/tex]

[tex]\text{Students that attend Willington Schools}=46,488[/tex]

Therefore, 46,488 students attend schools in Willington.

Hey!

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Solution:

Remember to follow PEMDAS.

= (68 * 95) + 90 / 10

= (6,460) + 90 / 10

= 6,460 + 9

= 6,469

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Answer:

6,469

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Hope This Helped! Good Luck!

In order to find the answer to the question you will have to use PEMDAS and then solve.

[tex](68\times95)+90\div10[/tex]

Using PEMDAS:

[tex]68\times95=6460[/tex]

[tex]6460+90\div10[/tex]

[tex]90\div10=9[/tex]

[tex]6460+9[/tex]

[tex]6460+9=6469[/tex]

[tex]=6469[/tex]

Therefore your answer is "6469."

Hope this helps.

You can write it as 4/873. This is the fraction form.

Hope this helped

Answer:

218.25

Step-by-step explanation:

Answer:

15=0 not a real number

Step-by-step explanation:

8+9p=9p-7  

+7          +7

15+9p=9p

-9p        -9p

15=0

Answer:

B and C

Step-by-step explanation:

A linear pair is supplementary.

It always helps to draw out a diagram with the information you have - it makes the solving process more visual and sometimes easier. I have attached a diagram of this linear pair.

So, since a linear pair is supplementary, we know these two angles add to equal 180°. Let's write this in an equation.

(5n + 15) + (4n + 21) = 180

Solve for n.

(5n + 15) + (4n + 21) = 180

5n + 15 + 4n + 21 = 180

9n + 36 = 180

9n = 144

n = 16

We're not done yet - now we have to plug this in for n to find the angle measures.

5n + 15

5(16) + 15

80 + 15

95

4n + 21

4(16) + 21

64 + 21

85

Lastly, check your work by adding the angle measures.

95 + 85 = 180

m∠EFG = 95°

m∠GFH = 85°

Answer:

Step-by-step explanation:

3y + 1 - 2y = -3 -3y

4y = -4

y = -1

Answer:

y=-1

Step-by-step explanation:

First you combine like terms.

1y+1=-3-3y

Then you add 3 on both sides so the -3 cancels out.

1y+4=-3y

Then you subtract 1y on both sides to cancel out y.

4=-4y

Then you divide both sides by -4 to get y by itself.

y=-1

Answer:

7, B, 24

Step-by-step explanation:

2 . x+12 = 19

So what added to twelve equals 19? Well, 7 added to 12 is nineteen so that means x is equal to 7.

3. Inverse means opposite, so then number three would be B.

4. Finding the inverse means the opposite so subtracting the inverse of 24 is just 24 because those are opposites.

Answer:

The Correct Answer is D

Textile mills

Step-by-step explanation:

Answer:

5,200

Step-by-step explanation:

Significant figure = digit number

they want you to change 5239 to 2 s.f

thus,5200 <--2 digit number

To round the number 5,239 to two significant figures, we determine that the digit following the second significant figure is less than 5, so the number rounds down to 5,200.

The student is asking about rounding the number 5,239 to two significant figures. To round a number correctly to a certain number of significant figures, you start counting from the leftmost non-zero digit and keep the number of digits required. For the number 5,239:

Determine the second significant figure: The second digit after the leading 5 is 2, so that is where we will round the number.

Look at the digit following the last significant digit: In this case, it's a 3, which is less than 5.

Apply the rounding rules: Since the digit after the second significant figure is less than 5, we do not increase the second figure, and the rest of the digits become zeros.

Therefore, 5,239 rounded to two significant figures is 5,200.

Answer:

The value of x is 62°.

Step-by-step explanation:

It's 62° because it's a right angle (from the small box) . So you would do the given measurement (28°) and subtract that from 90°.

It should be A because C cannot exist at the moment. B and D are clearly slopes, so it has to be A.

If ( t = -3 ), then [tex]\( 3t^2 + 5t + 6 \)[/tex] equals 0.

To find the value of [tex]\( 3t^2 + 5t + 6 \)[/tex] when ( t = -3 ), substitute (-3) for ( t ) in the expression:

[tex]\[ 3(-3)^2 + 5(-3) + 6 \][/tex]

= 3(9) - 15 + 6

= 27 - 15 + 6

= 12 - 15

= -3

Therefore, when ( t = -3 ), \[tex]( 3t^2 + 5t + 6 \)[/tex] evaluates to (-3).

Understanding how to substitute values into algebraic expressions is fundamental in algebra. In this case, replacing ( t ) with (-3) allows us to find the specific value of the expression for that given input.

It's worth noting that this expression equals 0 for ( t = -3 ). This is an interesting mathematical result, indicating that the expression [tex]\( 3t^2 + 5t + 6 \) factors as \( (t + 3)(3t + 2) \),[/tex] making it equal to 0 when either \[tex]( t = -3 \) or \( t = -\frac{2}{3} \).[/tex] This connection between factors and roots is a crucial concept in algebra.

Answer:

a).429 with all numbers repeating

b)They all repeat

The equivalent decimal value is 0.429429 and the number 429 is repeated after the decimal.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

The question is incomplete.

The complete question is:

During a thunderstorm, 143 out of 333

houses lost electrical power.

a. Write the decimal equivalent for 143/333.

b. Use Structure What do you notice about the digits in the decimal equivalent?

As we know from the definition of the fraction, the number 143 is in the numerator and the number 333 is in the denominator.

= 143/333

After dividing:

= 0.429429....

The equivalent decimal value is 0.429429.

As we can see after dividing the number 429 is repeated after the decimal.

Thus, the equivalent decimal value is 0.429429 and the number 429 is repeated after the decimal.

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Answer:

13+x

Step-by-step explanation:

1. Since its commutative property you can switch it around and you will still get the same answer.

2. Instead of x+13 you can write it as 13+x

The commutative property in mathematics tells us that the order in which you add or multiply numbers doesn't change the outcome. Therefore, using the commutative property, the expression 'x + 13' can be rewritten as '13 + x'.

The commutative property in mathematics is a fundamental property that applies to both addition and multiplication. It states that the order in which you add or multiply numbers does not change the result. For example, 3 + 4 = 4 + 3 or 2 * 5 = 5 * 2.

So, when the question asks to use the commutative property to rewrite the expression x + 13, it simply means that you should reverse the order of the addition. Using the commutative property, the expression x + 13 changes to 13 + x.

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The first one is Function 4. The y intercept is wherever the slope intercepts the Y axis, which would only be once if it is a true function.  You can see that function 1's y intercept is 5. Function 2's is-4. Function 3's is -2. Function 4 tells you it's/ y intercept is 1. The one that's closest to 0 is number 4. As for the second one, the answer is function 1. I'm not positive on the third one, but can say function 4 is an answer.

Answer:

Step-by-step explanation:

Complete statement is;

⇒ 5 is 100 times of 0.05.

Here,

We have to make true statements of ''5 is 100 times _____''

What is Fraction?

A fraction represent how many part of a whole.

Now,

Since,  5/100 is equal to 0.05,

Hence, we can say that 5 is the result of multiplying 0.05 by 100.

As, 0.05 x 100 = 5

So, 5 is 100 times of 0.05.

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Hey!

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[tex]\large\boxed{C.~2.5~cm.}[/tex]

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Explanation:

On the centimeter it's measures in increments of 5. The iron passes the 95 mark, so we can automatically take out option A and B. The iron rod looks like its half way between the 100 and 95 mark. So we can say that the possible error of measurement is 2.5cm. 1cm. seems to small.

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Hope This Helped! Good Luck!

Answer:

[tex]2,5\: cm[/tex]

Step-by-step explanation:

It is impossible to calculate half-measurements in his case, so we can say so about this measurement.

I am joyous to assist you anytime.

The value of the given expression for the given variable values is 207.

The given expression is -w²-11uv+2v².

We need to find the value of the expression for u = -1, v = 8, and w = -3.

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.

Now, substitute u = -1, v = 8, and w = -3 in the expression -w²-11uv+2v².

We get, -w²-11uv+2v²=-(-3)²-11(-1)(8)+2(8)²

=-9+88+128=207

Therefore, the value of the given expression for the given variable values is 207.

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Answer:

[3, 8]

Step-by-step explanation:

Now, a 90°-clockwise rotation is the exact same as a 270°-counterclockwise rotation, and according to the 270°-counterclockwise rotation [90°-clockwise rotation] rule, you take the y-coordinate, bring it over to your new x-coordinate, and take the OPPOSITE of the x-coordinate and set it as your new y-coordinate:

Extended Rotation Rules

So, perform your rotation:

270°-counterclockwise rotation [90°-clockwise rotation] → [-8, 3] moves to [3, 8]

I am joyous to assist you anytime.

The image of the point (-8,3) after a rotation of 270 degrees counterclockwise is (3,8).

The image of the point (-8,3) after a rotation of 270 degrees counterclockwise can be determined by using the concept of rotation of vectors in a coordinate plane. A rotation of 270 degrees counterclockwise is equivalent to a 90 degrees clockwise rotation. To rotate a point, you can use the rotation matrix:

For a 90 degrees clockwise rotation, the rotation matrix is:

  [0  1]
  [-1  0]

Applying this matrix to point (-8,3) gives us:

  [0  1]   [-8]
  [-1  0]    [3]

Which results in:

  [3]
  [8]

Therefore, the new coordinates after rotation will be (3,8).

Answer:

  7a³-2b²

Step-by-step explanation:

[tex]8a^3-3b^2-(-a)^3+b^2=(8-1)a^3+(-3+1)b^2=7a^3-2b^2[/tex]

_____

Math symbols were invented so that expressions could be written unambiguously. You might find you are more likely to get the answers you need if you use them.

Answer:

122 ft^2.

Step-by-step explanation:

This area can be divided into 2 rectangles:

One of size 14 * 4 = 56 ft^2 and

another of size (15 - 4)* 6 =  66ft^2

Total 66 + 56 = 122 ft^2.

Answer:

Step-by-step explanation:

Let's start with the bigger portion of the non-shaded area.

It is 15*6 because it is showing us that the distance between the non-shded area and the shaded area is 6 feet, if we slide that over, it is exactly what we need. So...

15*6=90 feet

Now, the smaller part. BTW, we are pretending there is a line from the bottom left corner of the shaded, straight across to the real line at the 14.

That being said, we need to subtract 6 from 14 to get the dimension.

So...

14-6= 8 feet.

It tells us that the width is 4 feet.

8*4= 32.

Now we have to add. 32+90=122feet squared.

making the answer, B

Hope this helps!!!

Brady

Answer:

755

Step-by-step explanation:

The sum of 308+622+381=755

The sum of the numbers 308,622, and 381 is 755.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the numbers are 308, 622 and 381. The sum of the numbers will be calculated by adding all the numbers as below,

Sum = 308+622+381

Sum = 755

Hence, the sum of the numbers will be 755.

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Answer:

A. 1/5

Step-by-step explanation:

Add all the numbers up, you get 25. There is 5 yellow marbles, so that's a 5/25 chance of picking a yellow one, now you just have to simplify, you then get 1/5, because 5 ÷ 5 is 1, and 25 ÷ 5 is 5.