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3 years ago

9

Which phrase matches the algebraic expression below 2(x-7)+10

2 answers:

Alekssandra [29.7K]3 years ago

8 0

Answer:

The sum of a number and 7 multiplied by 2 is increased by 10

Step-by-step explanation:

zubka84 [21]3 years ago

7 0

The sum of a number 7 multiplied by 2 then is increased by 10

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Which of these numbers is divisible by 2 A. 2612 B.1241 C.4263

julia-pushkina [17]

Answer:

A. 2612

cause 2612 is a even number

6 0

3 years ago

Kali is selling two different kinds of soup - tomato soup and clam chowder. She has a total of 80 bowls, so she can sell no more

algol13

You are looking for the shaded region that would be contained in both of the inequalities.

You have:
$x+y \leq 80$ $5x+10y\ \textgreater \ 500$

If you graph an shade the correct half-plane for those equations, you will see there is a triangular region on the left side of the first quadrant.

4 0

3 years ago

Find the extreme values of the function f(x, y) = 4x2 + 6y2 on the circle x2 + y2 = 1.

julia-pushkina [17]

Answer with Step-by-step explanation:

We are given that

$f(x,y)=4x^2+6y^2$

Let g(x,y)= $x^2+y^2=1$

We have to find the extreme values of the given function

$\nabla f(x,y)$

$\nabla g(x,y)=$

Using Lagrange multipliers

$\nabla f(x,y)=\lambda \nabla g(x,y)$

$f_x=\lambda g_x$

$8x=\lambda 2x$

Possible value x=0 or $\lambda=4$

If x=0 then substitute the value in g(x,y)

Then, we get $y=\pm 1$

$f_y=\lambda g_y$

$12y=\lambda 2y$

If $\lambda=4$ and substitute in the equation

Then , we get possible value of y=0

When y=0 substitute in g(x,y) then we get

$x=\pm 1$

Hence, function has possible extreme values at points (0,1),(0,-1), (1,0) and (-1,0).

$f(0,1)=6$

$f(0,-1)=6$

$f(1,0)=4$

$f(-1,0)=4$

Therefore, the maximum value of f on the circle $x^2+y^2=1$ is $f(0,\pm1)=6$ and minimum value of $f(\pm1,0)=4$

7 0

3 years ago

The perimeter of a rectangle is 42 inches. If the width of the rectangle is 6 inches, what is the length?

ozzi

Answer:

15 inches

Step-by-step explanation:

42 = 2L + 2(6)

first, we need to isolate L.

solve 2(6) to make this easier

42 = 2L + 12

42 - 12 = 2L + 12 - 12 ( this cancels out 12. )

30 = 2L

30 ÷ 2 = 2L ÷ 2 ( this cancels out 2. )

15 = L

8 0

3 years ago

Which best represents the units of the average rate of change for the boiling point based on the amounts of ethylene glycol in t

mario62 [17]

Answer:

Option b. degrees Fahrenheit/(mililiters)

Step-by-step explanation:

we know that

The formula to calculate the average rate of change between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have that

the units of the y-axis are ${\°F}$

the units of the x-axis are ${ml}$

therefore

the units of the the average rate of change are

$m=\frac{\°F}{ml}$

3 0

3 years ago