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Ksju [112]
3 years ago
10

Simplify: (-x^2 - 7x + 10) - (8x^2 + 8x + 8).

Mathematics
1 answer:
JulijaS [17]3 years ago
8 0

Answer:

-(9 x^2 + 15 x - 2)

Step-by-step explanation:

Simplify the following:

-(8 x^2 + 8 x + 8) - x^2 - 7 x + 10

Factor 8 out of 8 x^2 + 8 x + 8:

-x^2 - 7 x + 10 - 8 (x^2 + x + 1)

-8 (x^2 + x + 1) = -8 x^2 - 8 x - 8:

-8 x^2 - 8 x - 8 - x^2 - 7 x + 10

Grouping like terms, -x^2 - 8 x^2 - 7 x - 8 x - 8 + 10 = (-x^2 - 8 x^2) + (-7 x - 8 x) + (10 - 8):

(-x^2 - 8 x^2) + (-7 x - 8 x) + (10 - 8)

-x^2 - 8 x^2 = -9 x^2:

-9 x^2 + (-7 x - 8 x) + (10 - 8)

-7 x - 8 x = -15 x:

-9 x^2 + -15 x + (10 - 8)

10 - 8 = 2:

-9 x^2 - 15 x + 2

Factor -1 out of -9 x^2 - 15 x + 2:

Answer:  -(9 x^2 + 15 x - 2)

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katrin [286]

1.1x+1.2x-5.4=-10x

Move all terms to the left:

1.1x+1.2x-5.4-(-10x)=0

Add all the numbers together, and all the variables

2.3x-(-10x)-5.4=0

Get rid of parentheses

2.3x+10x-5.4=0

Add all the numbers together, and all the variables

12.3x-5.4=0

Move all terms containing x to the left, all other terms to the right

12.3x=5.4

x=5.4/12.3

x=3.8571428571429/8.7857142857143

Hope it helps!

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3 years ago
Properties of square
nikklg [1K]

a square is a quadrilateral

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4 years ago
3/4 of a piece of metal has a mass of 15kg.what is the mass of 2/5 of the piece of metal
olga2289 [7]
3/4=15
let,
total mass is x
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Hope this helps!
8 0
3 years ago
Need help please!! I’m confused
trapecia [35]

Answer:

y = -0.2x + 3.8

Step-by-step explanation:

it states it has been 7 weeks. 0.2 x 7 is 1.4. That means they started with 2.4 + 1.4 meters thick of ice sheet, which is 3.8, which is the number they started with. So, b = 3.8 and it says it melts 0.2 so it's a negative, which is -0.2 as slope. So, y = -0.2x + 3.8

4 0
3 years ago
Identify a horizontal or vertical stretch or compression of the function f(x)=\sqrt(x) by observing the equation of the function
ale4655 [162]

By applying the concept of transformation, the <em>transformed</em> function g(x) = √[(3/2) · x] is the consequence of applying a <em>stretch</em> factor of 3/2 on the <em>parent</em> function f(x) = √x.

<h3>How to compare two functions by concepts of transformation</h3>

In this question we have a <em>parent</em> function g(x) = √[(3/2) · x] and a <em>transformed</em> function f(x) = √x. Transformations are operations in which parent functions are modified in their relationships between inputs and outputs.

In this case, the difference between f(x) and g(x) occurred because of the application of a operation known as <em>vertical</em> stretch, defined below:

f(x) = g(k · x), k > 0     (1)

Where k is the <em>stretch</em> factor. There is a compression for 0 ≤ k < 1.

By applying the concept of transformation, the <em>transformed</em> function g(x) = √[(3/2) · x] is the consequence of applying a <em>stretch</em> factor of 2/3 on the <em>parent</em> function f(x) = √x. (Right choice: C)

To learn more on transformations: brainly.com/question/11709244

#SPJ1

7 0
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