MATHEMATICS HIGH SCHOOL

9x+10=11x-10
Please show work

Answers

Answer 1

Answer:

Answer:

$x=10$

Step-by-step explanation:

1) Subtract 10 from both sides of the equation

$9x+10=11x-10\n9x+10-10=11x-10-10$

2) Simplify

a. Subtract the numbers

b. Subtract the numbers again

$9x=11x-20$

3) Subtract 11x from both sides of the equation

$9x=11x-20\n9x-11=11x-20-11x$

4) Simplify

a. Combine like terms

b. Combine like terms again

$-2x=-20$

5) Divide both sides of the equation by the same term

$-2x=20\n(-2x)/(-2) =(-20)/(-2)$

6) Simplify

a. Cancel terms that are in both the numerator and denominator

$(-2x)/(-2) =(-20)/(-2) \nx=(-20)/(2)$

b. Divide the numbers

$x=(-20)/(-2x) \nx=10$

Answer 2

Answer: Simplifying
9x + 10 = 11x + -10

Reorder the terms:
10 + 9x = 11x + -10

Reorder the terms:
10 + 9x = -10 + 11x

Solving
10 + 9x = -10 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
10 + 9x + -11x = -10 + 11x + -11x

Combine like terms: 9x + -11x = -2x
10 + -2x = -10 + 11x + -11x

Combine like terms: 11x + -11x = 0
10 + -2x = -10 + 0
10 + -2x = -10

Add '-10' to each side of the equation.
10 + -10 + -2x = -10 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = -10 + -10
-2x = -10 + -10

Combine like terms: -10 + -10 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

Related Questions

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Answers

Answer:

0.6 gallons of pure saline

Step-by-step explanation:

15-12=3

3=×0.03

20 gallons ×0.03=0.6 gallons

Which of the following equations has infinitely many real solutions? A. 4x + 1 = x - 1 B. 4x + 1 = 4x - 1 C. 4(x - 7) = 4x + 28 D. 4(x - 7) = 4x - 28

Answers

The equation that has infinitely many real solutions is:

B. 4x + 1 = 4x - 1

In this equation, when you simplify it, you'll find that it states 1 = 1, which is always true. This means there are infinitely many solutions because any value of x would make the equation true.

Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15, end of a blanket per day. She has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways.Write an inequality to determine the number of days, Darcie can skip crocheting and still meet her goal.

Answers

Answer:

x≤ 60 - (3÷1/15)

Step-by-step explanation:

Number of blankets to be made = 3

Darcie crochets 1/15 blanket per day

To crochet one carpet she needs = 15 days

To crochet three carpets she needs = 15*3 = 45 days

Number of days she had = 60 days

She can skip days = 60-45 = 15 days

Let x be the number of days to complete her work.

Thus the equation becomes x≤ 60 - (3÷1/15)

You can solve for x to determine the number of days, Darcie can skip crocheting, you will get the answer 15....

3
pies
×
3
cups per pie =

cups

Answers

Answer: 9 cups

Step-by-step explanation:

$3*3=9$

A football is kicked toward the goal. The height of the ball is modeled by the function h(x) = -16t^2 + 64t where t equals the time in seconds and h(x) represents the height of the ball at time t seconds. What is the axis of symmetry and what does it represent?A. x = 2; it takes 2 seconds to reach the maximum height and 2 seconds to fall back to the ground

B. x = 2; it takes 2 seconds to reach the maximum height and 4 seconds to fall back to the ground

C. x = 4; it takes 4 seconds to reach the maximum height and 4 seconds to fall back to the ground

D. x = 4; it takes 4 seconds to reach the maximum height and 8 seconds to fall back to the ground

Answers

We will solve the equation: $-16 x^(2) +64t=0$
t(-16 t + 64 )=0, t1=0,
-16t+64=0, 16 t = 64, t2=4
This is a square function ( graph : parabola ) with the zeroes: t1=0 and t2=4.
The axis of symmetry is x=2. It takes 2 seconds to reach the maximum height and 2 seconds to fall back to the ground (Answer: A).

Answer:

Step-by-step explanation:

If f(x)=64-x2 and g(x)=8-x which is the rule of the function (f + g)(x)?