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
iragen [17]
3 years ago
15

3x^3 - 2y^-6x^2y^2+xy for x=2/3 and y=1/2

Mathematics
1 answer:
Dominik [7]3 years ago
4 0

Answer:

-13

Step-by-step explanation:

3x^3 - 2y^-6x^2y^2+xy

x=2/3 and y=1/2

Solve :

3x^3 - 2y^-6x^2y^2+xy

Put value of x and y in this equation

= 3(2/3)^3 - 2(1/2)^-6(2/3)^2(1/2)^2+(2/3)(1/2)

= -13

You might be interested in
You make one pitcher of iced tea and one pitcher of lemonade for a party. Just before the party starts, you catch a little misch
daser333 [38]

Answer:

This scenario shows that there is more lemonade in the iced tea

Step-by-step explanation:

According to the given statement there is a mischievious child who is mixing the two beverages. The child says that only one cup of the iced tea was taken and put in the lemonade. Then, the child took only one cup of the lemonade-tea mixture that was just created and put it back into the pitcher of iced tea.

This scenario shows that there is more lemonade in the iced tea....

3 0
3 years ago
Josh is wrapping a box that is 5 feet long 14 feet wide and 3 feet tall with wrapping paper. How much wrapping paper will he nee
kaheart [24]
Hes gonna need 210 feet of wrapping paper bc 14x5 = 70 and 70x3 =210
4 0
3 years ago
Read 2 more answers
Look at the triangle show on the right. The Pythagorean Theorem states that the sum of the squares of the legs of a right triang
Vladimir [108]

Answer:

cos^2\theta + sin^2\theta = 1

Step-by-step explanation:

Given

(\frac{b}{r})^2  + (\frac{a}{r})^2

Required

Use the expression to prove a trigonometry identity

The given expression is not complete until it is written as:

(\frac{b}{r})^2  + (\frac{a}{r})^2  = (\frac{r}{r})^2

Going by the Pythagoras theorem, we can assume the following.

  • a = Opposite
  • b = Adjacent
  • r = Hypothenuse

So, we have:

Sin\theta = \frac{a}{r}

Cos\theta = \frac{b}{r}

Having said that:

The expression can be further simplified as:

(\frac{b}{r})^2  + (\frac{a}{r})^2  = 1

Substitute values for sin and cos

(\frac{b}{r})^2  + (\frac{a}{r})^2  = 1 becomes

cos^2\theta + sin^2\theta = 1

3 0
4 years ago
Could someone help me rnnn?
GuDViN [60]

Answer:

vertex = (0, -4)

equation of the parabola:  y=3x^2-4

Step-by-step explanation:

Given:

  • y-intercept of parabola: -4
  • parabola passes through points: (-2, 8) and (1, -1)

Vertex form of a parabola:  y=a(x-h)^2+k

(where (h, k) is the vertex and a is some constant)

Substitute point (0, -4) into the equation:

\begin{aligned}\textsf{At}\:(0,-4) \implies a(0-h)^2+k &=-4\\ah^2+k &=-4\end{aligned}

Substitute point (-2, 8) and ah^2+k=-4 into the equation:

\begin{aligned}\textsf{At}\:(-2,8) \implies a(-2-h)^2+k &=8\\a(4+4h+h^2)+k &=8\\4a+4ah+ah^2+k &=8\\\implies 4a+4ah-4&=8\\4a(1+h)&=12\\a(1+h)&=3\end{aligned}

Substitute point (1, -1) and ah^2+k=-4 into the equation:

\begin{aligned}\textsf{At}\:(1.-1) \implies a(1-h)^2+k &=-1\\a(1-2h+h^2)+k &=-1\\a-2ah+ah^2+k &=-1\\\implies a-2ah-4&=-1\\a(1-2h)&=3\end{aligned}

Equate to find h:

\begin{aligned}\implies a(1+h) &=a(1-2h)\\1+h &=1-2h\\3h &=0\\h &=0\end{aligned}

Substitute found value of h into one of the equations to find a:

\begin{aligned}\implies a(1+0) &=3\\a &=3\end{aligned}

Substitute found values of h and a to find k:

\begin{aligned}\implies ah^2+k&=-4\\(3)(0)^2+k &=-4\\k &=-4\end{aligned}

Therefore, the equation of the parabola in vertex form is:

\implies y=3(x-0)^2-4=3x^2-4

So the vertex of the parabola is (0, -4)

5 0
3 years ago
Read 2 more answers
Expand the decimal number 453682​
tester [92]

0.453682

= 0.4+0.05+0.003+0.0006+0.00008+0.000002

453682.0

= 400000+50000+3000+600+80+2+0.0

Must click thanks and mark brainliest

5 0
3 years ago
Other questions:
  • one positive integer is 5 less than twice another. the sum of their squares is 725. find the integers
    10·1 answer
  • In which direction will the parabola open?
    10·1 answer
  • An example in which a percentage is greater than 100%
    9·1 answer
  • I need help with this
    6·1 answer
  • Plz help fast will give brainiest
    6·1 answer
  • I really need help school end trw and i have 1 question till i am done but i dont know what it is PLEASE HELP FAST
    12·2 answers
  • Giving thanks and brainliest for best answer <3
    6·2 answers
  • Identify the simplest form of each ratio.
    10·1 answer
  • Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 510 miles on 20 gallons
    7·2 answers
  • 11/12 + 4/9 simplified
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!