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
Margarita [4]
3 years ago
5

Compute a value for y that satisfies the equation below. -3y - 12 = -4

Mathematics
1 answer:
lesantik [10]3 years ago
5 0
First, add 12 to both sides of the equation,
                            -3y - 12 + 12 = -4 + 12
                                -3y = 8
Then, divide both the left hand and right hand sides of the equation by -3
                                   (-3y) / -3 = 8/-3
The value of y is therefore,
                                         y = -8/3
You might be interested in
Find all real solutions to the equation (x² − 6x +3)(2x² − 4x − 7) = 0.
Jet001 [13]

Answer:

x = 3 + √6 ; x = 3 - √6 ; x = \frac{2+3\sqrt{2}}{2} ;  x = \frac{2-(3)\sqrt{2}}{2}

Step-by-step explanation:

Relation given in the question:

(x² − 6x +3)(2x² − 4x − 7) = 0

Now,

for the above relation to be true the  following condition must be followed:

Either  (x² − 6x +3) = 0 ............(1)

or

(2x² − 4x − 7) = 0 ..........(2)

now considering the equation (1)

(x² − 6x +3) = 0

the roots can be found out as:

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}

for the equation ax² + bx + c = 0

thus,

the roots are

x = \frac{-(-6)\pm\sqrt{(-6)^2-4\times1\times(3)}}{2\times(1)}

or

x = \frac{6\pm\sqrt{36-12}}{2}

or

x = \frac{6+\sqrt{24}}{2} and, x = x = \frac{6-\sqrt{24}}{2}

or

x = \frac{6+2\sqrt{6}}{2} and, x = x = \frac{6-2\sqrt{6}}{2}

or

x = 3 + √6 and x = 3 - √6

similarly for (2x² − 4x − 7) = 0.

we have

the roots are

x = \frac{-(-4)\pm\sqrt{(-4)^2-4\times2\times(-7)}}{2\times(2)}

or

x = \frac{4\pm\sqrt{16+56}}{4}

or

x = \frac{4+\sqrt{72}}{4} and, x = x = \frac{4-\sqrt{72}}{4}

or

x = \frac{4+\sqrt{2^2\times3^2\times2}}{2} and, x = x = \frac{4-\sqrt{2^2\times3^2\times2}}{4}

or

x = \frac{4+(2\times3)\sqrt{2}}{2} and, x = x = \frac{4-(2\times3)\sqrt{2}}{4}

or

x = \frac{2+3\sqrt{2}}{2} and, x = \frac{2-(3)\sqrt{2}}{2}

Hence, the possible roots are

x = 3 + √6 ; x = 3 - √6 ; x = \frac{2+3\sqrt{2}}{2} ; x = \frac{2-(3)\sqrt{2}}{2}

7 0
2 years ago
You are working as an office apprentice for the bksb Newcastle Arena. You are helping collect a customer satisfaction survey for
Nana76 [90]

Answer:

Step-by-step explanation:

6 0
2 years ago
What is the cross-sectional area of a cement pipe 2 in. thick with an inner diameter of 5 ft? Use pie 3.14.
Paul [167]

Answer:

1.60 ft^{2}

Step-by-step explanation:

Assuming that this is a cylindrical pipe, the area can be determined by applying the formula for calculating the area of a circle.

i.e Area = \pir^{2}

So that,

for the inner part of the pipe,

r = \frac{diameter}{2}

 = \frac{5}{2}

 = 2.5 feet

Area of the inner part of the pipe = \pir^{2}

                                 = 3.14 x (2.5)^{2}

                                 = 19.625

Are of the inner part of the pipe is 19.63 ft^{2}.

Total diameter of the pipe = 5 + 0.2

                                           = 5.2 feet

r = \frac{5.2}{2}

 = 2.6 feet

Area of the pipe = \pir^{2}

                            = 3.14 x (2.6)^{2}

                            = 21.2264

Area of the pipe is 21.23 ft^{2}.

Thus the cross sectional area = Area of the pipe - Area of the inner part of the pipe

                                           = 21.2264 - 19.625

                                           = 1.6014

The cross sectional area of the cement pipe is 1.60 ft^{2}.

6 0
2 years ago
Reese is selling lemonade at the parade. He gets to keep 10% of the money he collects. A large lemonade is $7.00 and a small lem
jeka94

Answer:

We conclude that the simplified expression is:

0.10\left(7l\:+\:2s\right)=0.7l+0.2s

Step-by-step explanation:

Given the expression

0.10\left(7l\:+\:2s\right)

Apply the distributive law:   a(b+c) = ab+ac

a = 0.1, b = 7l, c = 2s

0.10\left(7l\:+\:2s\right)=0.1\cdot \:7l+0.1\cdot \:2s

                       =7\cdot \:0.1l+2\cdot \:0.1s

                        =0.7l+0.2s

Therefore, we conclude that the simplified expression is:

0.10\left(7l\:+\:2s\right)=0.7l+0.2s

4 0
3 years ago
If two fair dice are rolled, what is the probability that the total showing is either even or less than five?
vampirchik [111]

Answer:

50/50

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • In 1935 there were 15,295 banks in the United States in 2003 there were 9,182 banks what is the percent of change
    12·1 answer
  • What is the slope of the line 3y = 5x + 7
    14·1 answer
  • Which are correct representations of the inequality -3(2x - 5) <5(2 - x)? Select two options.
    8·1 answer
  • Kailey wrote 8,912,000 in scientific notation as 89.12 x 10(exponent 5). Which statement best describes Kailey’s work?
    10·2 answers
  • You borrow $2000 from the bank at 1% annual interest compounded monthly. The monthly payment is $100. What is the balance after
    8·1 answer
  • Help help help please i need help
    13·1 answer
  • If the conditional statement, “If today is Friday, then yesterday was Thursday” is true, which other statement must also be true
    7·1 answer
  • Area & Surface Area:Question 7
    9·1 answer
  • Solve <br>60000000+63636733-7373 ​
    8·1 answer
  • X^{4} - 5x^(2) + 2x + 3 &lt; 0
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!