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3 years ago

Graph the line that passes through the points (1, -9) and (1, -3) and determine

Mathematics

1 answer:

lys-0071 [83]3 years ago

4 0

Answer:

Step-by-step explanation:

The line is a vertical line with an equation of x = 1

y can be anything.

Draw (on graph paper) a dot at x = 1. Go down to - 3 and keep on going down to - 9. Then go up from x = 1. That's what this problem should give you.

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Maximize the objective function P = 2x + 1.5y for the feasible region shown. State the maximum value for P and the ordered pair

umka2103 [35]

Incomplete question. However, let's assume this are feasible regions to consider:

Points:

- (0, 100)

- (0, 125)

- (0, 325)

- (1, 200)

Answer:

Maximum value occurs at 325 at the point (0, 325)

Step-by-step explanation:

Remember, we substitute the points value for x, y in the objective function P = 2x + 1.5y.

- For point (0, 100): P= 2(0) + 1.5 (100) =150

- For point (0, 125): P= 2(0) + 1.5 (125) =187.5

For point (0, 325): P= 2(0) + 1.5 (325) = 487.5

For point (1, 200): P= 2(1) + 1.5 (200) = 302

Therefore, we could notice from the above solutions that at point (0,325) we attain the maximum value of P.

7 0

3 years ago

Rob is saving to buy a new MP3 player. For every $11 he earns babysitting, he saves $6. On Saturday, Rob earned $44 babysitting.

Anon25 [30]

Answer:

Rob saved $24 on Saturday.

Step-by-step explanation:

Given:

Rob is saving to buy a new MP3 player.

Money earned in baby sitting = $11

Money saved =$6

First we will find the Percentage of amount he saved.

Percentage of amount he saved can calculated by Amount saved divided by total money earned and then multiplying by 100.

framing in equation form we get;

Percentage of amount he saved = $\frac{6}{11} \times 100 \approx 54.55\%$

Now Given:

Money earned in babysitting on Saturday = $44

We need to find the Money he saved on Saturday.

Money Saved can be calculated by Percentage of amount he saved multiplying by Money earned in babysitting on Saturday and then divided by 100.

framing in equation form we get;

Money Saved on Saturday = $\frac{54.55}{100}\times 44 = \$24$

Hence Rob saved $24 on Saturday.

8 0

3 years ago

Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3

Nat2105 [25]

Question:

Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3 1/2 inches long. The scale of the floor plan is 1/4 inch = 1 foot. What is the actual length of Hector’s room?

Answer:

The actual length of Hector room is 14 foot

Solution:

Given that, On the floor plan, his bedroom is 3 inches wide and $3\frac{1}{2}$ inches long

The scale of floor plan is given as:

$\frac{1}{4} \text{ inch} = 1 \text{ foot }$

Therefore,

$1 \text{ inch } = 4 \text{ foot}$

To find: Actual length of floor

From given question,

$length = 3\frac{1}{2} \text{ inches}$

Converting the mixed fraction to improper fraction,

$length = \frac{2 \times 3 + 1}{2} = \frac{7}{2} \text{ inches }$

Since, 1 inch = 4 foot

$\frac{7}{2} \text{ inches } = \frac{7}{2} \times 4 \text{ foot } = 14 \text{ foot }$

Thus actual length of Hector room is 14 foot

6 0

3 years ago

4) A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glass, whereas the semicircle is

lisov135 [29]

Answer:

l=0.1401P\\

w =0.2801P

where P = perimeter

Step-by-step explanation:

Given that a window is in the form of a rectangle surmounted by a semicircle.

Perimeter of window =2l+\pid/2+w

$P= 2l+3.14 (w/2)+w$

Or $P = 2l+2.57w\\l = \frac{P-2.57w}{2}$

To allow maximum light we must have maximum area

Area = area of rectangle + area of semi circle where rectangle width = diameter of semi circle

$A=lw +\pi \frac{w^2}{8}$

$A=lw +\pi \frac{w^2}{8}\\A=w*\frac{P-2.57w}{2}+0.3925w^2\\2A= Pw-2.57w^2+(0.785w^2)\\2A' = P-5.14w+1.57 w\\2A" =-5.14+1.57$

Hence we get maximum area when i derivative is 0

i.e. $P-5.14w+1.57 w=0\\3.57w =P\\w = \frac{P}{3.57} =0.2801P$

$l = \frac{P-2.57w}{2}\\l = 0.1401P$

Dimensions can be

$l=0.1401P\\w =0.2801P$

5 0

3 years ago

#2) Jane wants to have a test average of at least 78.

Vlad [161]

She would have to score atleast a 74 on the test for her average to be 78

5 0

3 years ago