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Elis [28]
2 years ago
7

McKenna needs to build a window frame. She needs 2 pieces of lumber that are 4 34 feet long and 2 more that are 3% feet long. Ho

w much lumber does McKenna need in all?
​
Mathematics
1 answer:
otez555 [7]2 years ago
6 0

Answer:

15.5 feets of lumber

Step-by-step explanation:

To build a window frame :

Length of lumber needed = 4 3/4 feets and 3 feets

Number of 4 3/4 feets lumber needed = 2

Number of 3 feets lumber needed = 2

Total required lumber :

(2 * 4 3/4)feets + (2 * 3) feets

(2 * 19/4) feets + 6 feets

9.5 feets + 6 feets

= 15.5 feets

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Which point is a solution to the inequality shown in this graph
astra-53 [7]

Answer:

D: (1,5) Apex

Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
What value does ​f(x,y) = (x + 2y)/(x -2y) approach as​ (x,y) approaches​ (0,0) along the​ x-axis?
WARRIOR [948]

Answer:

B. ​f(x,y) has no limit and does not approach infinity or minus infinity as​ (x,y) approaches​ (0,0) along the​ x-axis.

Step-by-step explanation:

Given the function

​f(x,y) = (x + 2y)/(x -2y)

We can apply

y = mx

then

lim (x,y) → (0, 0)  f(x,y) = lim (x,mx) → (0, 0)  f(x, mx)

⇒  lim (x → 0) (x + 2mx)/(x -2mx) = lim (x → 0) x(1+2m)/(x*(1-2m)) = (1+2m)/(1-2m)

If

y = x²

then

lim (x,y) → (0, 0)  f(x,y) = lim (x → 0)  f(x)

⇒  lim (x → 0) (x + 2x²)/(x -2x²) = (1 + 4(0))/(1 - 4(0)) = 1

If

y = x³

then

lim (x,y) → (0, 0)  f(x,y) = lim (x → 0)  f(x)

⇒  lim (x → 0) (x + 2x³)/(x -2x³) = (1 + 6(0)²)/(1 - 6(0)²) = 1

We applied L'Hopital's rule to solve the limits.

Then, we can say that ​f(x,y) has no limit since the limits obtained are different.

4 0
3 years ago
A farmer has 20 acres to plant in wheat and barley. He has to plant at least 15 acres. Wheat costs $200 per acre to plant and ba
maria [59]

Answer:

  • 16 acres of barley only (no acres of wheat)

Step-by-step explanation:

A graph shows cost of planting puts an upper limit on planted area. The lower limit is provided by the requirement to plant at least 15 acres. The vertices of the feasible solution region are ...

  (wheat acres, barley acres) = {(0, 15), (0, 16), (3, 12)}

The profit associated with these scenarios will be ...

  for (0, 16): 16·350 = 5600

  for (3, 12): 3·450 +12·350 = 1350 +4200 = 5550

To maximize profit, the farmer should plant 16 acres of barley.

4 0
3 years ago
What is the slope intercept form for y-5=3(x-3)
zubka84 [21]

Answer:y=3x-4

Step-by-step explanation:

you add 5 on both sides

simplify

and get y on one side

slope is 3

the y intercept is -4

4 0
2 years ago
- 3x + 4 and passes through the point (2,5)
Anuta_ua [19.1K]

Answer:

y=(x+13)/3

Step-by-step explanation:

the question is not quite clear, i think u mean y= -3x + 4

then, the slope of the line perpendicular to the given line is m1.m2= -1, hence, -3.m2= -1 m2 = 1/3

y-5=1/3(x-2) y=x/3+13/3 or y=(x+13)/3

6 0
3 years ago
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