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leva [86]
3 years ago
11

This graph shows a proportional relationship.

Mathematics
1 answer:
Vinvika [58]3 years ago
3 0

9514 1404 393

Answer:

  9/8

Step-by-step explanation:

The equation of a proportional relationship is ...

  y = kx

The constant of proportionality, k, can be found from ...

  k = y/x . . . . . above equation divided by x

Using the given points, we find the constant of proportionality to be ...

  k = (3/4)/(2/3) = (3/4)(3/2) = 9/8

The constant of proportionality is 9/8.

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Which number line graph matches the solution to –4x + 2 < 6?
lana66690 [7]

Answer:

I am not one hundred percent sure but I think it is D

6 0
3 years ago
I am stuck on the question because I don't know it.
artcher [175]

Answer:

2x^2-29 its A

Step-by-step explanation:

5x-5=-25

2x-2=-4

-25+-4=-29

X x X=x^2

X^2 + X^2=2x^2

6 0
3 years ago
Consider a wire of length 12 ft. The wire is to be cut into two pieces of length x and 12−x. Suppose the length x is used to for
Marat540 [252]

Answer:

x = 8

Step-by-step explanation:

When cutting the wire we will get two pieces

x             and          12 - x

If we build a circle whith x , the lenght of the circle will be x, and if we look at the equation for a lenght of a cicle  2*π*r = x

then r  = x/2π

and consequentely   A₁  = area of a circle  =  πr²       A₁  = π*x/2π  

A₁  = x/2

With the other piece  12  -  x     we have to make an square so wehave to divide that piece in four equal length

side of the square   =    s

s   = 1/4 ( 12 - x )    and the area is      A₂  = [1/4 ( 12 - x)]²

A₂  = ( 12 - x )²/16

Then     A₁  +  A₂  =  A(t)   and this area as fuction of x

A (x)  = x/2  +  1/16 ( 144 + x² -24x)          A (x)  =[ (8x + 144 + x² -24x)]/16

Taken derivatives in both sides

A´(x)  =  8  +  2x  - 24   = 0

   2x  -16  =  0         x  =  8    and   s =  12 - 8       s  =  4

7 0
4 years ago
Haley has 3 3/8 cups of sugar to make pies. If each pie uses 2 1/4 cups of sugar, how many pies can she make?
tester [92]

Answer:

With 3 3/8 cups of sugar Haley can make one and a half  pie.

Step-by-step explanation:

The amount of sugar required to make each pie  =   2 1/4 cup

Now,  2 \frac{1}{4}   = 2 + \frac{1}{4}   = 2 + 0.25  = 2.25

So, Haley uses 2.25 cup of sugar foe  each pie.

Total cups of Sugar Haley has = 3 3/8 cups.

Now,  3 \frac{3}{8}   = 3 + \frac{3}{8}   = 3 + 0.375  = 3.375

So, the total amount of sugar Haley has  is 3.375 cups.

Now, \textrm{Number of pies she can make}  = \frac{\textrm{Total cups of sugar she has}}{\textrm{Cups of sugar required for each cake}}

= \frac{3.375}{2.25}    =1.5

or the number of  pies she can make  =  1.5

Hence, with 3 3/8 cups of sugar Haley can Make 1 1/2 pie.

8 0
3 years ago
Which distance measures 7 units? A number line going from negative 8 to positive 8. A closed circle appears at negative 7 and is
kramer

Answer:

the distance between points M and P

Step-by-step explanation:

JUST TOOK THE TEST

6 0
3 years ago
Read 2 more answers
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