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Reptile [31]
3 years ago
13

Math help ASAP!! Also both drop down boxes are the same.

Mathematics
1 answer:
Llana [10]3 years ago
7 0

Answer:

Domain: amount of fuel in the airplane's tank (in gallons)

The set of all real numbers from 0 to 200

Range: weight of airplane (In  pounds)

The set of all real numbers from 3000 to 4400

Step-by-step explanation:

We have the following function

W=7F+3000

Where W represents the weight of the plane in pounds and F represents the amount of fuel in gallons.

The domain of a function is the set of values ​​"F" that can be entered in a function W(F) to obtain an output value of W.

In this case the range of the function W(F) is the whole set of values W_1, W_2, W_3, ..., W_n that are obtained for F_1, F_2, F_3, ..., F_n

Note that, in this case, equation W(F) is used to obtain the weight of the airplane from the amount of fuel F.

Then the domain of the function is the amount of fuel in the airplane tank (in gallons). Since the tank can only hold up to 200 gallons, and there are no negative volume units, then the domain is all real numbers between 0 and 200.

The range of the function is the weight of the plane (in pounds). Note that the minimum weight of the airplane with 0 gallons of fuel is 3000 pounds and the maximum weight with the full tank is 4400 pounds.

Then the range is all real numbers between 3000 and 4400

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What is 7 im so confused
erastova [34]

Answer:

7 weeks

Step-by-step explanation:

John saves  f(x) = 60+5x

Sarah saves g(x) =x^2 +46

They save the same amount of money

Set the equations equal

60+5x =x^2 +46

Subtract 60 from each side

60+5x -60 =x^2 +46-60

5x= x^2 - 14

Subtract 5x from each side

5x -5x= x^2-5x - 14

0 = x^2-5x - 14

Factor

0 = (x-7) (x+2)

Using the zero product property

x-7=0   x+2 =0

x=7  x=-2

Since we cannot have negative weeks

x=7

5 0
3 years ago
Dorothy is using fabric to cover a photo album the width of the fabric is 5/8 of a yard the area of the fabric is 5/16 square ya
saul85 [17]

For this case we assume that the photo album is rectangular in shape and therefore the fabric too. By definition, the area of a rectangle is given by:

A = a * b

Where:

a: It is the length of the rectangle

b: It is the width of the rectangle

According to the problem data we have to:

b =\frac {5}{8} \yard\\A = \frac {5} {16} \ yards ^ 2

Substituting:

\frac {5} {16} = a * \frac {5} {8}

We clear "a":

a = \frac {\frac {5} {16}} {\frac {5} {8}}\\a = \frac {5 * 8} {16 * 5}\\a = \frac {8} {16}\\a = \frac {1} {2}

Thus, the length of the fabric is \frac {1} {2} yards.

ANswer:

The length of the fabric is\frac {1} {2} yards.

5 0
4 years ago
If 25% of the students in elementary algebra courses receive a grade of A, and there are 300 students enrolled in elementary alg
djyliett [7]

Answer:

Total number of students receiving A grade = 75

Step-by-step explanation:

Total number of students enrolled in elementary algebra this year =300

Percentage of students receiving a grade of A = 25%

To find number of students that will receive a grade of A.

Solution:

In order to find the number of students that will receive a grade of A, we will find the percentage students receiving A grade of the total number of the student.

Number of students receiving A grade = 25\%\ of\textrm{ Total number of students}

⇒ 25\%\ of\ 300

Writing 25% as fraction and multiplying.

⇒ \frac{25}{100}\times 300

⇒ \frac{7500}{100}

⇒ 75

∴ Total number of students receiving A grade = 75 (Answer)

6 0
3 years ago
When graphing y < 5x − 2, what kind of boundary line is used and where will the graph be shaded?
ZanzabumX [31]
Well, what's the graph of say y = 5x - 2?

the line will come by graphing that, y = 5x - 2... then we check the points that lie on either side of the line.

for example... the point (0,4) is a point that lies on the left-hand-side of that line..... so... let's check for its true/false value

(0, 4)    x = 0, y = 4

y < 5x - 2

4 < 5(0) - 2

4 < 0 - 2

4 < -2   <--- now, is that true? is 4 lesser than -2? well, nope

so, that means the region where 0,4 lies, is the FALSE region, and we do not shade that part, so the part that needs shading is the other side.

The boundary line is dashed, meaning, it DOES NOT include the points lying on that line, but just anything off that, because y < 5x - 2, means "y" is less than, NOT EQUALS OR LESS, but just less.

check the picture below.

3 0
3 years ago
It must exceed seven
nignag [31]
The digits that are between numbers 1 and 10 and larger than 7 are: 8, 9, 10
6 0
3 years ago
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