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slava [35]
4 years ago
7

in the usa, the shoe sizes or men are approximated by the equation 3f-s=24, where f represents the length of the foot in inches

and s represents the shoe size. use the function to determine the x and y intercept. State the meaning of each in terms of this problem situation
Mathematics
1 answer:
Otrada [13]4 years ago
8 0

Answer:

x intercept = 8

y intercept = -24

Step-by-step explanation:

In the USA, the shoe sizes or men are approximated by the equation 3f-s=24, where f represents the length of the foot in inches and s represents the shoe size.

<u>When we represent this equation using a graph, we mark the independent variable on the x axis and the dependent variable on the y axis.</u>

Here the foot length is the independent variable and the shoe size is the dependent variable. Hence we take foot length on x axis.

To get x intercept put y=0, f = \frac{24}{3} = 8 inches .

This is the point from which where we start our shoe size.

The y intercept , s = -24.

You might be interested in
Which property is shown by -3 x (6+5) = -3 x 6+ -3 x 5
aniked [119]

Answer:

The distributive property of multiplication

Step-by-step explanation:

we know that

The <u>distributive property of multiplication</u>  states that the product of a number by a sum, is equal to multiply each addend by the number (This is called distributing the number) and then, you can add the products

so

a*(b+c)=a*b+a*c

in this problem we have

-3*(6+5)=-3*6+-3*5 ----> the number -3 is distributed

therefore

We have the distributive property of multiplication

4 0
4 years ago
The least common multiple of two numbers is 3780, and the greatest common divisor is 18. given that one of the numbers is 180, w
garri49 [273]
<span>To solve these GCF and LCM problems, factor the numbers you're working with into primes: 
3780 = 2*2*3*3*3*5*7
180 = 2*2*3*3*5 
</span><span>We know that the LCM of the two numbers, call them A and B, = 3780 and that A = 180. The greatest common factor of 180 and B = 18 so B has factors 2*3*3 in common with 180 but no other factors in common with 180. So, B has no more 2's and no 5's
</span><span>Now, LCM(180,B) = 3780. So, A or B must have each of the factors of 3780. B needs another factor of 3 and a factor of 7 since LCM(A,B) needs for either A or B to have a factor of 2*2, which A has, and a factor of 3*3*3, which B will have with another factor of 3, and a factor of 7, which B will have. 
So, B = 2*3*3*3*7 = 378.</span>
8 0
3 years ago
What is the shape of the cross-section formed when a plane containing line AC and line EH intersects this cube? What is the area
velikii [3]

Answer:

Cross section is a rectangle.

Area of cross section = 16 sqrt(2) = 22.63 sq. units (to 2 decimals)

Step-by-step explanation:

Given a cube.

top face ABCD is parallel and congruent to bottom face EFGH  ........(1)

justified by the properties of cubes

Sides AE and CH are perpendicular to faces ABCD and EFGH ..........(2)

justified by the properties of cubes

Diagonals AC and EH are congruent ......................(3)

justified by (1), congruent top and bottom faces  

Consider cross-section ACHE

AC is congruent and parallel to  EH   (1) & (3)

EA & HC are perpendicular to AC      (2)

Therefore the quadrilateral ACHE is a rectangle.

Length of diagonal AC = sqrt(4^2+4^2) = 4 sqrt(2)  ..........pythagoras theorem

AE = CH = DG = 4      properties of cube, all sides equal

Area of ACHE = 4* 4sqrt(2) = 16 sqrt(2) = 22.63 sq. units

4 0
3 years ago
1. 1/48 simplified
Hatshy [7]

Answer:

The answer is 10

Step-by-step explanation:

\frac{1}{2} x = 5 \\ x = 10

3 0
3 years ago
PLEASE HELP ME!!! THANK YOU SO MUCH!
monitta

Answer: B / 2,6,10,14,18

Step-by-step explanation:

you were given the equation next input 1 for n.

Solve and a = 2

Then you input 2 for n. Solve and you get a =6.

Do  this up until you get to 5.

6 0
3 years ago
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