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
antiseptic1488 [7]
2 years ago
8

If the equations 2x +y =7 and x-y=2are solved simultaneously, then y=_________​

Mathematics
1 answer:
alisha [4.7K]2 years ago
7 0

Answer:

y = -2x + 7 and y = x - 2

Step-by-step explanation:

2x + y = 7

y = -2x +7

x - y = 2

-y = -x +2

y = x - 2

You might be interested in
Ashley is making $500 a week at her job. She receives a 20% pay raise.
tamaranim1 [39]

Answer:

$100 increase

Step-by-step explanation:

500 x 20%

= $100 increase


5 0
3 years ago
Read 2 more answers
Find the value of x that maximized the volume of the following:
Shtirlitz [24]

Check the picture below.

as you can see, the graph of the volume function comes from below goes up up up, reaches a U-turn then goes down down, U-turns again then back up to infinity.

the maximum is reached at the close up you see in the picture on the right-side.

Why we don't use a higher value from the graph since it's going to infinity?

well, "x" is constrained by the lengths of the box, specifically by the length of the smaller side, namely 5 - 2x, so whatever "x" is, it can't never zero out the smaller side, and that'd happen when x = 2.5, how so? well 5 - 2(2.5) = 0, so "x" whatever value is may be, must be less than 2.5, but more than 0, and within those constraints the maximum you see in the picture is obtained.

5 0
2 years ago
Find the numbers b such that the average value of f(x) = 7 + 10x − 9x2 on the interval [0, b] is equal to 8.
barxatty [35]

Answer:

The numbers b such that the average value of f(x) = 7 +10\cdot x - 9\cdot x^{2} on the interval [0, b] is equal to 8 are b_{1} \approx 1.434 and b_{2} \approx 0.232.

Step-by-step explanation:

The mean value of function within a given interval is given by the following integral:

\bar f = \frac{1}{b-a}\cdot \int\limits^b_a {f(x)} \, dx

If f(x) = 7 +10\cdot x - 9\cdot x^{2}, a = 0, b = b and \bar f = 8, then:

\frac{1}{b}\cdot \int\limits^b_0 {7+10\cdot x -9\cdot x^{2}} \, dx = 8

\frac{7}{b}\int\limits^b_0 \, dx  + \frac{10}{b}  \int\limits^b_0 {x}\, dx - \frac{9}{b}  \int\limits^b_0 {x^{2}}\, dx = 8

\left(\frac{7}{b} \right)\cdot b + \left(\frac{10}{b} \right)\cdot \left(\frac{b^{2}}{2} \right)-\left(\frac{9}{b} \right)\cdot \left(\frac{b^{3}}{3} \right) = 8

7 + 5\cdot b - 3\cdot b^{2} = 8

3\cdot b^{2}-5\cdot b +1 = 0

The roots of this polynomial are determined by the Quadratic Formula:

b_{1} \approx 1.434 and b_{2} \approx 0.232.

The numbers b such that the average value of f(x) = 7 +10\cdot x - 9\cdot x^{2} on the interval [0, b] is equal to 8 are b_{1} \approx 1.434 and b_{2} \approx 0.232.

7 0
3 years ago
300 juniors at Central High School took the ACT last year. The scores were distributed normally with a mean of 24 and a standard
Usimov [2.4K]

Answer:

150 students

Step-by-step explanation:

According to statement we have the following information

number of juniors=n=300

mean score=24

standard deviation score=4

The number of students that score above 24 is determined by

Number of students score above 24=number of juniors* P(student score above 24)

P(student score above 24)=P(x>24)=P(x-mean/sd>24-24/4)=P(z>0)=0.5.

Students score above 24=np=300*0.5=150

Hence there are 150 students scored above 24.

4 0
4 years ago
Elena cashed a check for $$4350 at Quick Cash. The fee to cash
serious [3.7K]

Answer:

522

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Find the x-intercepts for the parabola defined by the equation below. y = x2 - 9x + 18
    14·2 answers
  • Suzanne owns a small business that employs 5 other people. Suzanne makes $100,000 per year and the 5 employees make between $40,
    10·2 answers
  • 6p-10c-8 when p=6 and c=8
    10·1 answer
  • Simplify the exprssion -3/6 minus 5/7
    13·2 answers
  • How many students participated in the survey ?
    7·1 answer
  • The U.S. Fish and Wildlife Service reported that the mean length of six-year-old rainbow trout in the Arolik River in Alaska is
    11·1 answer
  • A jeweler had 38 inches of silver chain. She need five times that much to make some necklaces and 3 times that amount to make so
    6·1 answer
  • 2) Eduardo put some money into an account 15 years ago that paid 6% interest compounded
    13·1 answer
  • How do I solve this equation by completing the square. 4X^2 + 12x +5 = 21
    6·1 answer
  • Over what interval is the graph of y = 2 + (x − 3)2 increasing?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!