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
GalinKa [24]
3 years ago
5

2x + 4y = 12 y = x – 3 What is the solution to the system of equations? (–1, 8) (8, –1) 5 1/2 1/2 5

Mathematics
1 answer:
Goryan [66]3 years ago
5 0

Answer:

The solution is (8, -1).

Step-by-step explanation:

2x + 4y = 12..........(1)

y = 1/4x – 3 ..........(2)

Substitute y = x - 3 in equation (1):

2x + 4(1/4x - 3) = 12

2x + x - 12 = 12

3x = 24

x = 8.

Now substitute for x in equation (2):

y = 1/4 *8 - 3

y = -1.

You might be interested in
Given that 1 x2 dx 0 = 1 3 , use this fact and the properties of integrals to evaluate 1 (4 − 6x2) dx. 0
Debora [2.8K]

So, the definite integral  \int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74

Given that

\int\limits^1_0 {x^{2} } \, dx = 13

We find

\int\limits^1_0 {(4 - 6x^{2} )} \, dx

<h3>Definite integrals </h3>

Definite integrals are integral values that are obtained by integrating a function between two values.

So, Integral \int\limits^1_0 {(4 - 6x^{2} )} \, dx

So, \int\limits^1_0 {(4 - 6x^{2} )} \, dx = \int\limits^1_0 {4} \, dx - \int\limits^1_0 {6x^{2} } \, dx \\=  4[x]^{1}_{0}    - \int\limits^1_0 {6x^{2} } \, dx \\=  4[x]^{1}_{0}    - 6\int\limits^1_0 {x^{2} } \, dx \\= 4[1 - 0]    - 6\int\limits^1_0 {x^{2} } \, dx\\= 4[1]    - 6\int\limits^1_0 {x^{2} } \, dx\\= 4    - 6\int\limits^1_0 {x^{2} } \, dx

Since

\int\limits^1_0 {x^{2} } \, dx = 13,

Substituting this into the equation the equation, we have

\int\limits^1_0 {(4 - 6x^{2} )} \, dx = 4 - 6\int\limits^1_0 {x^{2} } \, dx\\= 4 - 6 X 13 \\= 4 - 78\\= -74

So, \int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74

Learn more about definite integrals here:

brainly.com/question/17074932

4 0
2 years ago
U need question problem 2 to solve problem 3
Sergio [31]

Answer:

You are correct

Step-by-step explanation:

Start with 1 1/2. This can be made into an improper fraction which is 3/2

Now multiply both top and bottom of 3/2 by 5

(3*5)/(2 * 5) = 15 / 10

16/10 is just slightly bigger than 15/10

3 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP 50 POINTS! What correctly identifies the property shown?
mash [69]

Answer:

Commutative property

Step-by-step explanation:

Hope that helps!


5 0
3 years ago
Jim earns a regular hourly rate of $5 and a premium hourly rate of $6 He worked 45 Hours last week what is his gross pay
denpristay [2]
(40*5)+(5*6)=200+30 = 230

answer: $230
6 0
3 years ago
Read 2 more answers
△ABC≅△DEF, BC=4x−12, and EF=−3x+16. Find x and EF.
kirill [66]

x = 4 and EF = 4 ⇒ 3rd answer

Step-by-step explanation:

If two triangles are congruent, then

1. Their corresponding sides are equal

2. Their corresponding angles are equal

3. Their areas and perimeters are equal

∵ △ ABC ≅ △ DEF

∴ AB ≅ DE

∴ BC ≅ EF

∴ AC ≅ DF

∵ BC = 4 x - 12

∵ EF = -3 x + 16

∵ BC = EF

∴ 4 x - 12 = -3 x + 16

Let us solve the equation to find x

∵ 4 x - 12 = -3 x + 16

- Add 3 x for both sides

∴ 7 x - 12 = 16

- Add 12 to both sides

∴ 7 x = 28

- Divide both sides by 7

∴ x = 4

Substitute the value of x in the expression of EF

∵ EF = -3 x + 16

∵ x = 4

∴ EF = -3(4) + 16 = -12 + 16

∴ EF = 4

x = 4 and EF = 4

Learn more:

You can learn more about congruence of Δs in brainly.com/question/3202836

#LearnwithBrainly

3 0
2 years ago
Other questions:
  • (9x+1/2)+(7x-9 1/12)
    13·2 answers
  • Help me please if you can i need too get these done and catch up
    15·1 answer
  • Graham makes $62,800 per year. He has individual health care, which is $52 per month. His yearly contribution is 10% of the tota
    7·1 answer
  • The domain of a sequence can include decimals and irrational numbers.
    9·1 answer
  • Translate the phrase into an algebraic expression <br> The sum of y and 3
    10·1 answer
  • –2x + y = 3 2x – y = 4 Using elimination to solve this system results in the equation .
    14·1 answer
  • Convert into 24 hours clock.4.17pm​
    10·1 answer
  • PLEASE HELP,, MARKING BRAINLIEST!!!<br><br> Solve for the value of x.
    12·1 answer
  • Which transformation maps the strip pattern onto itself?
    8·1 answer
  • Graph the function f(x)=-3x+1.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!