Find how long it takes to drive 134 miles on a highway at 9 pm going 40 mph

16+5x =8x-5

Reorder the terms
16+5x = -5+8x
Solving for variable for x

Move all terms containing x to the left, all other terms to the right.
Add -8x to each side of the equation.
16+ -3x = -5 + 8x + -8x

Combine like terms: 5x + -8x=-3x
16+-3x = -5 + 8x + -8x

Combine like terms: 8x + -8x = 0
16+-3x = -5 + 0
16+ -3x = -5

Add -16 to each side of the equation
16+-16 + -3x = -5 + 16

Combine like terms: 16+ -16 = 0
0 + -3x =-5 + -16
-3x = -5 + -16

combine like terms: -5 + -16 = -21
-3x = -21
Divide each side by -3
x=7

7 0

3 years ago

Which polynomial lists the powers in descending order? A. –10 + 4x3 – 4x5 + 2x4 + x7 B. x7 – 4x5 + 2x4 + 4x3 – 10 C. x7 + 4x3 +

Artist 52 [7]

The answer for the exercise shown above is the option B, which is: $x^{7} -4 x^{5} +2 x^{4} +4 x^{3}- 10$
The explanation is shown below:
To list the powers of the polynomial given in the problem above in descending order, you must write the terms from the highest degree to the lowest degree. You have that the highest degree is $7
$ and the lowest degree is $0
$ (Because $-10 x^{0} =-10(1)=-10$ . Therefore, you have that the correct option is the option B.

4 0

2 years ago

How do i expand (3x+5)^2

shepuryov [24]

I don't know how you expand it but the answer is 3x + 25 unless that's expanding.

8 0

2 years ago

Read 2 more answers

Which equation shows the value of -2/5 - -9/15

Alika [10]

Answer:

D) 3/15

Step-by-step explanation:

(-2/5) - (-9/15) = (-6/15) - (-9/15) = (-6/15) + (9/15) = 3/15

6 0

2 years ago

Pearl's Biking Company manufactures and sells bikes. Each bike costs £40 to make, and the company's fixed costs are £5000. In ad

____ [38]

Answer:

R(x) =300·x - 2·x²

C(x) = £5000 + £40 × x

The break even points are 23.47 and 106.53 or 23 and 107 bikes

Step-by-step explanation:

Given that the price function P(x) = 300 -2·x

Cost per bike = £40

The revenue function R(x) is given by bike price × total number of bikes manufactured and sold

∴ R(x) = P(x)×x = (300 - 2·x)×x = 300·x - 2·x²

The company's cost function, C(x) is Fixed cost + cost to produce each bike × total number of bikes produced

∴ C(x) = £5000 + £40 × x

The break even point is given by the relation;

Total revenue - total cost = 0

That is, break even point is R(x) - C(x) = 0

300·x - 2·x² - (5000 + 40·x) = 0

-2·x²+260·x-5000 = 0 or 2·x²- 260·x + 5000 = 0

Factorizing, we have;

(x - (65 -5√69))(x - (65 +5√69))

Solving gives x = 23.47 or 106.53

Therefore, the break even points are 23.47 and 106.53.

That is the company is profitable when they produce less than 23 bikes or more than 107 bikes.

3 0

3 years ago