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
Olenka [21]
3 years ago
14

X = 3 - y

Mathematics
2 answers:
bagirrra123 [75]3 years ago
6 0

Answer:

A

Step-by-step explanation:

Given the 2 equations

x = 3 - y → (1)

5x - 12 = y → (2)

Substitute x = 3 - y into (2)

5(3 - y) - 12 = y ← distribute and simplify left side

15 - 5y - 12 = y

3 - 5y = y ( add 5y to both sides )

3 = 6y ( divide both sides by 6 )

\frac{3}{6} = y, that is

y = 0.5 → A

beks73 [17]3 years ago
4 0

Answer:

A

Step-by-step explanation:

Plug the first equation into the second equation. 5(3-y)-12=y

15-5y-12=y. Combine like terms. 3-5y=y. Move the -5y to the other side. 3=y+5y which is 3=6y divide and y=1/2 or 0.5

You might be interested in
I know the answer is no solution but I don't know how to get it☹️ plz help!
Crank
When a linear equation is in the form y = mx + c, the c, or constant, is the intercept on the y axis, meaning it crosses the y axis at (0, 1).

The gradient (1/3 in this case) is how much the y increments (or decrements) per increase of 1 of the value of x.

This would mean that there would be one point at (0, 1), and another at (3, 2). Draw a line from these two points and beyond, and that is the graph sketched.
3 0
3 years ago
Which of the following has six faces?
Goryan [66]

Answer:

D

Step-by-step explanation:

Hexa means six, so a hexahedron is a figure with six faces. Therefore, choice D is the correct answer.

7 0
3 years ago
What is the first step in solving the equation x2 – 16/25 = 0?
Keith_Richards [23]

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 

                     x^2-(16/25)=0 

Step by step solution :<span>Step  1  :</span> 16 Simplify —— 25 <span>Equation at the end of step  1  :</span><span><span> 16 (x2) - —— = 0 25 </span><span> Step  2  :</span></span>Rewriting the whole as an Equivalent Fraction :

<span> 2.1 </span>  Subtracting a fraction from a whole 

Rewrite the whole as a fraction using <span> 25 </span> as the denominator :

<span> x2 x2 • 25 x2 = —— = ——————— 1 25 </span>

<span>Equivalent fraction : </span>The fraction thus generated looks different but has the same value as the whole 

<span>Common denominator : </span>The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

<span> 2.2 </span>      Adding up the two equivalent fractions 
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

<span> x2 • 25 - (16) 25x2 - 16 —————————————— = ————————— 25 25 </span>Trying to factor as a Difference of Squares :

<span> 2.3 </span>     Factoring: <span> 25x2 - 16</span> 

Theory : A difference of two perfect squares, <span> A2 - B2  </span>can be factored into <span> (A+B) • (A-B)

</span>Proof :<span>  (A+B) • (A-B) =
         A2 - AB + BA - B2 =
         A2 <span>- AB + AB </span>- B2 = 
        <span> A2 - B2</span>

</span>Note : <span> <span>AB = BA </span></span>is the commutative property of multiplication. 

Note : <span> <span>- AB + AB </span></span>equals zero and is therefore eliminated from the expression.

Check :  25  is the square of  5 
Check : 16 is the square of 4
Check : <span> x2  </span>is the square of <span> x1 </span>

Factorization is :       (5x + 4)  •  (5x - 4) 

<span>Equation at the end of step  2  :</span> (5x + 4) • (5x - 4) ——————————————————— = 0 25 <span>Step  3  :</span>When a fraction equals zero :<span><span> 3.1 </span>   When a fraction equals zero ...</span>

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the <span>denominator, </span>Tiger multiplys both sides of the equation by the denominator.

Here's how:

(5x+4)•(5x-4) ————————————— • 25 = 0 • 25 25

Now, on the left hand side, the <span> 25 </span> cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   (5x+4)  •  (5x-4)  = 0

Theory - Roots of a product :

<span> 3.2 </span>   A product of several terms equals zero.<span> 

 </span>When a product of two or more terms equals zero, then at least one of the terms must be zero.<span> 

 </span>We shall now solve each term = 0 separately<span> 

 </span>In other words, we are going to solve as many equations as there are terms in the product<span> 

 </span>Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

<span> 3.3 </span>     Solve  :    5x+4 = 0<span> 

 </span>Subtract  4  from both sides of the equation :<span> 
 </span>                     5x = -4 
Divide both sides of the equation by 5:
                     x = -4/5 = -0.800 

Solving a Single Variable Equation :

<span> 3.4 </span>     Solve  :    5x-4 = 0<span> 

 </span>Add  4  to both sides of the equation :<span> 
 </span>                     5x = 4 
Divide both sides of the equation by 5:
                     x = 4/5 = 0.800 

<span><span> x = 4/5 = 0.800
</span><span> x = -4/5 = -0.800
</span></span>
3 0
3 years ago
Read 2 more answers
One hundred teachers attended a seminar on mathematical problem solving. The attitudes of representative sample of 12 of the tea
GenaCL600 [577]

Answer:

3

Step-by-step explanation:

Mean = (3+7+-1+1+0+5+-3+2+-1+6+5+-2)/12

= 1.833

median is middle of ordered numbers -3/-2/-1/-1/0/1/2/3/5/5/6/8/7 here between the 6th and the 7th since with even number sample, there is not a unique middle. This would be 1.5

Standard deviation = √ 123.67/12

√10.3

=3.21

the change score that is 2.2 standard deviations below the mean.

1.83 - 2.2(3.21)

= 5.232

5 0
3 years ago
Read 2 more answers
Please help someone !???a
miv72 [106K]

I think question statement c is false about proof

7 0
3 years ago
Other questions:
  • The jones family drive 200 miles in 5 hours. The grant family drives 360 miles in 6 hours. Compare the car trips. Assume they bo
    14·1 answer
  • 3x-8(2x+3)= -6(2x+5)
    12·2 answers
  • Which statements are true
    5·1 answer
  • osha requires a ladder to meet the ground at 75 degree angle in order to function as safely as possible. of you need the ladder
    12·1 answer
  • Find an equation of the sphere through the point (4,3,-1) and has center (3,8,1).
    11·1 answer
  • PLEASE HELP ASAP!!!
    8·2 answers
  • Alex wants to have $2500 in his bank account after 2 years. if the account earns 5% interest compounded 2 times per year, how mu
    14·1 answer
  • You can also use the formula V= <br><br><br><br> pls help me out
    12·1 answer
  • You just obtained a credit card. You immediately purchase a stereo system for $200. your credit limit is $1000. Let's assume tha
    10·2 answers
  • Pam has ridden her new bike 7.2 miles. Dale has ridden his new bike 12.5 times as far as Pam.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!