1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Salsk061 [2.6K]
3 years ago
9

I need help with this one please. 5X=1/2(3x-2)

Mathematics
1 answer:
Sholpan [36]3 years ago
4 0
X = -2/7
5x = 1/2 ( 3x - 2 )
5x = 1.5x - 1
3.5x = -1
x = -2/7
You might be interested in
Prove that there are infinitely many primes of the form 4k + 3, where k is a non-negative integer. [Hint: Suppose that there are
Simora [160]

Answer:

The prove is as given below

Step-by-step explanation:

Suppose there are only finitely many primes of the form 4k + 3, say {p1, . . . , pk}. Let P denote their product.

Suppose k is even. Then P ≅ 3^k (mod 4) = 9^k/2 (mod 4) = 1 (mod 4).

ThenP + 2 ≅3 (mod 4), has to have a prime factor of the form 4k + 3. But pₓ≠P + 2 for all 1 ≤ i ≤ k as pₓ| P and pₓ≠2. This is a contradiction.

Suppose k is odd. Then P ≅ 3^k (mod 4) = 9^k/2 (mod 4) = 1 (mod 4).

Then P + 4 ≅3 (mod 4), has to have a prime factor of the form 4k + 3. But pₓ≠P + 4 for all 1 ≤ i ≤ k as pₓ| P and pₓ≠4. This is a contradiction.

So this indicates that there are infinite prime numbers of the form 4k+3.

6 0
3 years ago
Read 2 more answers
2. Which of these situations can be represented by the
stealth61 [152]

Answer:

B

Step-by-step explanation: Because he gains $25, which is positive

4 0
2 years ago
Read 2 more answers
Use the general slicing method to find the volume of the following solids. The solid whose base is the region bounded by the cur
Y_Kistochka [10]

Answer:

The volume is V=\frac{64}{15}

Step-by-step explanation:

The General Slicing Method is given by

<em>Suppose a solid object extends from x = a to x = b and the cross section of the solid perpendicular to the x-axis has an area given by a function A that is integrable on [a, b]. The volume of the solid is</em>

V=\int\limits^b_a {A(x)} \, dx

Because a typical cross section perpendicular to the x-axis is a square disk (according with the graph below), the area of a cross section is

The key observation is that the width is the distance between the upper bounding curve y = 2 - x^2 and the lower bounding curve y = x^2

The width of each square is given by

w=(2-x^2)-x^2=2-2x^2

This means that the area of the square cross section at the point x is

A(x)=(2-2x^2)^2

The intersection points of the two bounding curves satisfy 2 - x^2=x^2, which has solutions x = ±1.

2-x^2=x^2\\-2x^2=-2\\\frac{-2x^2}{-2}=\frac{-2}{-2}\\x^2=1\\\\x=\sqrt{1},\:x=-\sqrt{1}

Therefore, the cross sections lie between x = -1 and x = 1. Integrating the cross-sectional areas, the volume of the solid is

V=\int\limits^{1}_{-1} {(2-2x^2)^2} \, dx\\\\V=\int _{-1}^14-8x^2+4x^4dx\\\\V=\int _{-1}^14dx-\int _{-1}^18x^2dx+\int _{-1}^14x^4dx\\\\V=\left[4x\right]^1_{-1}-8\left[\frac{x^3}{3}\right]^1_{-1}+4\left[\frac{x^5}{5}\right]^1_{-1}\\\\V=8-\frac{16}{3}+\frac{8}{5}\\\\V=\frac{64}{15}

5 0
3 years ago
A recipe requires 5 cups of sugar. you can only measure with a 3/4 cup. How many 3/4 cups do you need for the recipe?
alekssr [168]

Answer:

1 1/2?

Step-by-step explanation:

7 0
3 years ago
Someone check my answers please
Aleksandr-060686 [28]

Answer:

their all good but B is blank

7 0
3 years ago
Other questions:
  • Use Substitution to solve the system of equations. c+b=12 2b-3c=1 1/2
    7·1 answer
  • Algebraic expression of The product of 8 and z plus the product of 6.5 and y
    13·1 answer
  • If a credit card holder has a low APR. The minimum monthly payments will be?
    5·1 answer
  • The value of √1.2321<br>​
    14·2 answers
  • What is this ?? Pls help
    12·1 answer
  • Marla’s mom bought a 36-pack of water bottles at the supermarket. Each bottle has 500 mL of water. How many liters of water is t
    9·2 answers
  • A community center rents their hall for special events. They charge a fixed fee of $200 plus an hourly fee of $15. Lin has $300
    15·1 answer
  • PLEASE HELP <br> What compass heading<br> represents 35° north of west?
    11·1 answer
  • Find the slope of each line​
    10·2 answers
  • Explain how to use a polynomial identity to factor x^6-27y^3
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!