All categories

3 years ago

(9x + 5 ) - (6x +-8)

Mathematics

1 answer:

satela [25.4K]3 years ago

3 0

Answer: x = -4.333333333

Step-by-step explanation:

Simplifying

(9x + 5) + -1(6x + -8) = 0

Reorder the terms:

(5 + 9x) + -1(6x + -8) = 0

Remove parenthesis around (5 + 9x)

5 + 9x + -1(6x + -8) = 0

Reorder the terms:

5 + 9x + -1(-8 + 6x) = 0

5 + 9x + (-8 * -1 + 6x * -1) = 0

5 + 9x + (8 + -6x) = 0

Reorder the terms:

5 + 8 + 9x + -6x = 0

Combine like terms: 5 + 8 = 13

13 + 9x + -6x = 0

Combine like terms: 9x + -6x = 3x

13 + 3x = 0

Solving

13 + 3x = 0

Solving for variable 'x'.

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

Add '-13' to each side of the equation.

13 + -13 + 3x = 0 + -13

Combine like terms: 13 + -13 = 0

0 + 3x = 0 + -13

3x = 0 + -13

Combine like terms: 0 + -13 = -13

3x = -13

Divide each side by '3'.

x = -4.333333333

Simplifying

x = -4.333333333

You might be interested in

traveled Downstream a distance of 33 Mi and then came right back. If the speed of the current was 12mph and the total trip took

spayn [35]

<span>Traveled Downstream a distance of 33 Mi and then came right back. If the speed of the current was 12 mph and the total trip took 3 hours and 40 minutes.
Let S = boat speed in still water then (s + 12) = downstream speed (s -12) = upstream speed
Given Time = 3 hours 40 minutes = 220 minutes = (220/60) h = (11/3) h Time = Distance/Speed
33/(s +12) + 33/(s-12) = 11/3 3{33(s-12) + 33(s +12)} = 11(s+12) (s -12) 99(s -12 + s + 12) = 11(</span> s^{2} + 12 s -12 s -144) 99(2 s) = 11(s^{2} -144) 198 s/11 = (s^{2} -144) 18 s = (s^{2} -144) (s^{2} - 18 s - 144) = 0 s^{2} - 24 s + 6 s -144 =0 s(s- 24) + 6(s -24) =0 (s -24) (s + 6) = 0 s -24 = 0, s + 6 =0 s = 24, s = -6 Answer) s = 24 mph is the average speed of the boat relative to the water.

7 0

3 years ago

Devon is trying to find the unit price on a 6-pack of drinks on sale for $2.99. His sister says that at that price, each drink w

docker41 [41]

Answer:

Step-by-step explanation:

Devon's sister is incorrect.

Note 6 drinks thats cost $2.99

2.99 divided by 6 is $0.50

Thus each drink is approx. $0.50

She would find it if she divided total number of drinks by the total price

4 0

3 years ago

If y varies inversely as the square of x and y=4 when x=5, find y when x is 2

Len [333]

need to kind K

Y=k x 1/x^2 = k/x^2

Find K when y=4 & x=5

Y=k/x^2 =

4=k/5^2=

4=k/25

K=4*25 =100

When x = 2

Y=100/2^2

Y=100/4

Y=25

5 0

3 years ago

The graph of a quadratic function f(x) intersects the x-axis At -3 and 5. Create a function that would produce these results.

FinnZ [79.3K]

Answer:

f(x) = x² - 2x - 15

Step-by-step explanation:

∵ The function intersect x-axis at -3 and 5

∴ f(x) = 0 at x = -3 , 5

∵ The form of the quadratic equation is ⇒ ax² + -b/a x + c/a = 0

ax² - b/a x + c/a = 0

Where the sum of its roots is b/a and their multiplication is c/a

∵ a = 1

∵ -3 , 5 are the roots of the quadratic equation

∴ b = -3 + 5 = 2

∴ c = -3 × 5 = -15

∴ f(x) = x² - 2x - 15

6 0

3 years ago

Which set of numbers correctly identifies the lower extreme, the lower quartile, the median, the upper quartile, and the upper e

kobusy [5.1K]

I think the answer is c

6 0

3 years ago

Read 2 more answers

(9x + 5 ) - (6x +-8)​

(9x + 5 ) - (6x +-8)