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
spayn [35]
2 years ago
12

(3x+15) (6x+3) m<1 is

Mathematics
1 answer:
Allisa [31]2 years ago
8 0

Answer:

x = 4

Step-by-step explanation:

Simplifying

3x + 15 = 6x + 3

Reorder the terms:

15 + 3x = 6x + 3

Reorder the terms:

15 + 3x = 3 + 6x

Solving

15 + 3x = 3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.

15 + 3x + -6x = 3 + 6x + -6x

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

15 + -3x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0

15 + -3x = 3 + 0

15 + -3x = 3

Add '-15' to each side of the equation.

15 + -15 + -3x = 3 + -15

Combine like terms: 15 + -15 = 0

0 + -3x = 3 + -15

-3x = 3 + -15

Combine like terms: 3 + -15 = -12

-3x = -12

Divide each side by '-3'.

x = 4

Simplifying

x = 4

You might be interested in
1
Dafna1 [17]
Your problem is too spaced out too understand! Next time make sure he spacing is more understandable and readable! sorry
5 0
3 years ago
Anybody know the answer to this question you
MariettaO [177]

Try to divide by each prime number starting with 2. If it is divisible, keep trying the same prime number until it is not divisible. Then move on to the next prime number, 3. Keep dividing until you get 1. All the prime numbers you divided by are the prime factorization.

List of the first several prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Start with 85.

85 is not divisible by 2.

Move on to 3.

85 is not divisible by 3.

Move on to 5.

85/5 = 17

17 is a prime number, so now divide 17 by 17.

17/17 = 1

We divided just by 5 and 17.

Answer: The prime factors of 85 are 5 and 17.

4 0
3 years ago
Please help me <br> Show your work <br> 10 points
Svet_ta [14]
<h2>Answer</h2>

After the dilation \frac{5}{3} around the center of dilation (2, -2), our triangle will have coordinates:

R'=(2,3)

S'=(2,-2)

T'=(-3,-2)

<h2>Explanation</h2>

First, we are going to translate the center of dilation to the origin. Since the center of dilation is (2, -2) we need to move two units to the left (-2) and two units up (2) to get to the origin. Therefore, our first partial rule will be:

(x,y)→(x-2, y+2)

Next, we are going to perform our dilation, so we are going to multiply our resulting point by the dilation factor \frac{5}{3}. Therefore our second partial rule will be:

(x,y)→\frac{5}{3} (x-2,y+2)

(x,y)→(\frac{5}{3} x-\frac{10}{3} ,\frac{5}{3} y+\frac{10}{3} )

Now, the only thing left to create our actual rule is going back from the origin to the original center of dilation, so we need to move two units to the right (2) and two units down (-2)

(x,y)→(\frac{5}{3} x-\frac{10}{3}+2,\frac{5}{3} y+\frac{10}{3}-2)

(x,y)→(\frac{5}{3} x-\frac{4}{3} ,\frac{5}{3}y+ \frac{4}{3})

Now that we have our rule, we just need to apply it to each point of our triangle to perform the required dilation:

R=(2,1)

R'=(\frac{5}{3} x-\frac{4}{3} ,\frac{5}{3}y+ \frac{4}{3})

R'=(\frac{5}{3} (2)-\frac{4}{3} ,\frac{5}{3}(1)+ \frac{4}{3})

R'=(\frac{10}{3} -\frac{4}{3} ,\frac{5}{3}+ \frac{4}{3})

R'=(2,3)

S=(2,-2)

S'=(\frac{5}{3} (2)-\frac{4}{3} ,\frac{5}{3}(-2)+ \frac{4}{3})

S'=(\frac{10}{3} -\frac{4}{3} ,-\frac{10}{3}+ \frac{4}{3})

S'=(2,-2)

T=(-1,-2)

T'=(\frac{5}{3} (-1)-\frac{4}{3} ,\frac{5}{3}(-2)+ \frac{4}{3})

T'=(-\frac{5}{3} -\frac{4}{3} ,-\frac{10}{3}+ \frac{4}{3})

T'=(-3,-2)

Now we can finally draw our triangle:

8 0
3 years ago
A jacket at the store is being offered at a 25% discount. If the original price of the jacket is x, which answer choice shows an
Fofino [41]

Answer:

0.75x

Step-by-step explanation:

Given that :

Discount rate= 25%

Original price = x

Discounted price of jacket :

(100 - discount rate)% * original price

(100 - 25)% * x

75% * x

0.75x

3 0
2 years ago
Find the erea of the trapezoid.
Lubov Fominskaja [6]

Answer:

um 48 8*6=48

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Meryl spends a total of $68.82 for 2 pairs of sneakers with the same cost. The sales tax is $5.32. Meryl also uses a coupon for
    7·2 answers
  • 10 times as much as is 1\10 of 900
    12·1 answer
  • A microwave manufacturing company has just switched to a new automated production system. Unfortunately, the new machinery has b
    7·1 answer
  • Help me to understand this
    11·1 answer
  • Please help me answer the middle question please and thank you
    12·2 answers
  • Fully factorise 15ab - 35a
    12·1 answer
  • WILL MARK BRAINLIEST! Match each pair of angles with the correct angle relationship(s). Explain your reasoning for each.
    13·1 answer
  • One year there was a total of 59 commercial and noncommercial orbital launches worldwide. In addition, the number of noncommerci
    13·1 answer
  • What is the value of X?
    8·2 answers
  • *PLEASE ANSWER!! ITS FOR MY QUIZ!!*
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!