MATHEMATICS HIGH SCHOOL

Simplify 5 + 2{x - 4[3x + 7(2 - x)]}.
-34x - 107
34x - 107
34x + 107

Answers

Answer 1
Answer: 5 + 2(x - 4[3x + 7(2-x)]) \n \n 5 + 2(x - 4(3x + 14-7x)) \n \n 5 + 2(x - 4((3x - 7x) + 14)) \n \n 5 + 2(x - 4(-4x + 14)) \n \n 5 + 2(x + 16x - 56) \n \n 5 + 2(17x - 56) \n \n 5 + 34x = 112 \n \n 34x - 107 \n \n Answer: \fbox {34x - 107}
Answer 2
Answer:

Answer:

b) 34x - 107

Step-by-step explanation:

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In circle P, diameter QS measures 20 centimeters.What is the approximate length of arc QR? Round to the nearest tenth of a centimeter. explain.
A sequence of numbers begins with 12 and progresses geometrically. Each number is the previous number divided by 2.Which value can be used as the common ratio in an explicit formula that represents the sequence? 2 6 12

Answer the question in the picture

Answers

This answer depends on how well you know your graph. There are four quadrants. When the x and y coordinates are both negative then we know that he is in quadrant III. The robot makes a right 90° turn so he's now heading into quadrant IV. Quadrant IV has a positive x and negative y.

So, a straight path from (-10, -5) would be to (10, -5). Hope this helped!

The director of marketing at a large company wants to determine if the amount of money spent on internet marketing is a good predictor of company profit. She fits a least-squares regression line to 20 months of data and computes the following regression line:Profit = 372.6 + 17.2(advertising dollars)
What is the value of the residual for advertising dollars spent equal to $1,020 and Profit equal to $17,500? Round to the nearest integer.

Answers

Given:
Profit = 372.6 + 17.2(advertising dollars)
advertising dollars = 1,020
profit = 17,500

Profit = 372.6 + 17.2(advertising dollars)

We'll just input the amount specified in the equation. 
17,500 = 372.6 + 17.2 (1020)
17,500 = 372.6 + 17,544
17,500 = 17,916.60

As you can see, the values do not equal. Its difference is the residual value.

17,916.60 - 17,500 = 416.60 residual value

What number should be added to both sides of the equation to complete the square?x2 + 12x = 11

Answers

given:
x² + 12x = 11

perfect square:

a² + 2ab + b²

a² = x² ⇒ x * x
2ab = 12x ⇒ 2(6)x
b² = 6² ⇒ 36

x² + 12x + 36 = 11 + 36

(x+6)(x+6) = 47

Both sides must be added with 36.

Answer:

36.

Step-by-step explanation:

We have been given an equation x^2+12x=11 and we are asked to find the number that should be added to both sides of the equation to complete the square.

To complete the square we divide the constant with x term by two and add the square of that number to both sides of equation to complete the square.

((b)/(2))^2

We can see that constant of x term is 12, so let us divide 12 by 2.

(12^2)/(2^2)

(144)/(4)

36

Therefore, we should add 36 to both sides of our equation to complete the square.

After adding 36 to both sides of our equation we will get,

x^2+12x+36=11+36

x^2+12x+6^2=47

(x+6)^2=47

Given rectangular prism ABCD. Choose all of the terms that best describe each of the sets of lines or points. Points D, G and J collinear intersecting parallel noncollinear noncoplanar

Answers

Answer:

Step-by-step explanation:

The given parallelogram is attached.

First, we have to define some terms:

  • Collinear means that they are on the same line, non-collinear is the opposite.
  • Intersecting means that the point are touching each other, this apply to segments.
  • Parallel means that they will never intersect, because they have the same slope or inclination, this apply to lines also.
  • Coplanar means that points are in the same plane, non-coplanar is the opposite.

So, if we observe points D, G and J, from given options, they are non-collinear and non-coplanar, because they are not on the same line, nor plane.

(5a^2 - b^2) - (4a^2 + 3b^2) - (a^2 - 7b^2)

Answers

answer:

3b²

step-by-step explanation:

(5a² - b²) - (4a² + 3b²) - (a² - 7b²)

= 5a² - b² - 4a² - 3b² - a² + 7b²

  • combine like terms

= 3b²
(5a^2 - b^2) - (4a^2 + 3b^2) - (a^2 - 7b^2)=\n 5a^2-b^2-4a^2-3b^2-a^2+7b^2=\n 3b^2

HELP (KHAN ACADEMY)
solve for x

Answers

As we can see

x+32=90

x= 90-32

x= 52
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