Solve the following equation to determine the value of x: 3x + (x + 10) + 5x + (2x + 2) = 56

9514 1404 393

Answer:

Step-by-step explanation:

For higher-degree polynomials I find it extremely useful to use a graphing calculator to find the zeros.

The usual approaches are ...

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1. Rational roots will be factors of 10, so ±1, ±2, ±5, or ±10. The signs are all positive, so there are no positive real roots. The sum of odd-degree coefficients is the same as the sum of even-degree coefficients, so -1 is one of the roots. Removing that using synthetic division gives you ...

   f(x) = (x +1)(x^2 +11 +10)

The quadratic (more or less obviously) factors as (x+1)(x+10), so the complete factorization is ...

  f(x) = (x +1)^2(x +10)

and the zeros are {-10, -1, -1}.

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2. Rational roots will be factors of 18, so will be ±1, ±2, ±3, ±6, ±9, ±18. The sum of coefficients is 0, so x=1 is a root. The rule of signs tells you that there are 2 positive real roots, so there is one more positive real root. Synthetic division tells you the factoring so far is ...

  f(x) = (x -1)(x^3 +2x^2 -9x -18)

We note that the first two coefficients have the same ratio as the last two, so we can factor by grouping.

  x^3 +2x^2 -9x -18 = x^2(x +2) -9(x +2) = (x^2 -9)(x +2)

Factoring the difference of squares gives you the complete factorization, hence all of the roots. (The zeros are the values of x that make the factors zero.)

  f(x) = (x -1)(x +2)(x -3)(x +3)

The zeros are {-3, -2, 1, 3}.

Answer:

fsfsgsgsgsgsgsgsgsgsgssgsgsgsgsgegeveg

Answer:

original cost is 135$

Step-by-step explanation:

100%×54$÷40%= 135

Answer:

I'm pretty sure the answer is B

Answer:

see attached

Step-by-step explanation:

3x(x − 2)(5x + 2)

Answer:

Add your brain then get smart

Answer:

x- intercept (5, 0)

y- intercept (0, 2)

Step-by-step explanation:

x- intercept occurs at y= 0.

To find the x- intercept of the linear equation, substitute y= 0 into the equation.

4x +10y= 20

When y= 0,

4x +10(0)= 20

4x= 20

x= 20 ÷4 (÷4 on both sides)

x= 5

Thus, the x-intercept is (5, 0).

y-intercept occurs at x= 0.

4x +10y= 20

When x= 0,

4(0) +10y= 20

10y= 20

y= 20 ÷10 (÷10 on both sides)

y= 2

Thus, the y-intercept is (0, 2).

Answer:

= 30x − 18

Step-by-step explanation:

Answer: 30x - 18

Step-by-step explanation:

first, we multiply the parentheses by 6.

6 x 5x - 6 x 3

then, we calculate/multiply.

30x - 18

Answer:

the expression would be 3(7+s)

Answer:

10/ 12 x 2/ 3 = 10/ 12 x 8/ 12 = 80/12 = 6 8/12

Pls mark brainliest, (Plz correct me if wrong)

Step-by-step explanation:

Step-by-step explanation:

%decrease = 1800 - 500 * 100

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1800

%decrease = 1300/1800 * 100

% decrease = 72.2%

Average attendance in 2003 = 1800

Average attendance in 2004 = 500

Decrease in attendance = 1800 - 500 = 1300

Decrease percentage in attendance

[tex] = \frac{1300}{1800} \times 100[/tex]

[tex] = \frac{13}{18} \times 100[/tex]

[tex] = \frac{13}{9} \times 50[/tex]

=72.22

Answer:

y = -2x - 3

Step-by-step explanation:

First, find slope (m) of the line using two points (0, -3) and (1, -5):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 -(-3)}{1 - 0} = \frac{-2}{1} = -2 [/tex]

The line intercepts the y-axis at y = -3. Therefore the y-intercept (b) of the line = -3.

To write the equation that represents the line, substitute m = -2, and b = -3 into y = mx + b.

Thus:

y = -2x + (-3)

y = -2x - 3

Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

lowest x is -1 ant farthest is 4.

Answer:

x=19.5 or 19 1/2

Step-by-step explanation:

To find what x is we need to get x on one side of the equal sign with the numbers on the other side, but first, we need to add the same variables and numbers together.

Add:

4x+12=90

Move the 12 to the other side by subtracting 12 on both sides (You use the inverse of what you want to move to the other side)

4x+12-12=90-12

4x=78

Divide:

You need to divide 4x by 4 (Since 4x is the same thing as 4*x you need the inverse of multiplication to reverse it which is division)

x=19.5 or 19 1/2 (Since 1/2 is the same thing as 0.5)

Answer:

The answer is 8

Step-by-step explanation:

Multiply -1 by -8

Answer:0-0

Step-by-step explanation:

Answer:

8.58

Step-by-step explanation:

Brainliest plz

Answer: D. $43.75

Step-by-step explanation:

Find the slope m.

Use the point-slope formula.

Solve for y.

Answer:

Uranus distance from the sun is 1.79 billion miles.

Hope it helps :)

Step-by-step explanation:

If x + 3 is a factor of the polynomial h(x), then -3 is a zero or solution.

Answer:

https://brainly.com/question/11804436

Step-by-step explanation:

USE LINK!!!!

The points that are in the solution set of the given system of inequalities are (2, 0), (0, 2), and (0, 3).

a relationship between two expressions or values that are not equal to each other is called 'inequality.

To determine which point is in the solution set of the given system of inequalities, we need to check each point to see if it satisfies both inequalities.

A) (2, 0)

Plugging in the values of x=2 and y=0 into the inequalities, we get:

2+0 ≥ 2 which is true, and

4(2)+0 ≥ -1 which is true.

Therefore, point A (2, 0) is in the solution set of the given system of inequalities.

B) (0, 2)

Plugging in the values of x=0 and y=2 into the inequalities, we get:

0+2 ≥ 2 which is true, and

4(0)+2 ≥ -1 which is true.

Therefore, point B (0, 2) is in the solution set of the given system of inequalities.

C) (0, 3)

Plugging in the values of x=0 and y=3 into the inequalities, we get:

0+3 ≥ 2 which is true, and

4(0)+3 ≥ -1 which is true.

Therefore, point C (0, 3) is in the solution set of the given system of inequalities.

D) (0, -1)

Plugging in the values of x=0 and y=-1 into the inequalities, we get:

0+(-1) ≥ 2 which is false, and

4(0)+(-1) ≥ -1 which is false.

Therefore, point D (0, -1) is not in the solution set of the given system of inequalities.

Hence, the points that are in the solution set of the given system of inequalities are (2, 0), (0, 2), and (0, 3).

To learn more on Inequality click:

https://brainly.com/question/28823603

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Which point is in the solution set of the given system of inequalities?

x+y≥2

4x+y≥-1

A-(2, 0)

B-(0, 2)

C-(0, 3)

D-(0, –1)