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VARVARA [1.3K]
2 years ago
8

Select the correct answer. Consider the following system of equations. Use this graph of the system to approximate its solution.

A diagonal curve rises through (negative 5, 1) through (6, 6). A diagonal curve declines through (negative 6, 5) through (7, negative 6) on the x y coordinate plane. A. B. C. D.

Mathematics
1 answer:
vesna_86 [32]2 years ago
7 0

The approximate solution to the given system of equations, considering the graph, is given as follows:

D. \left(-\frac{13}{4}, \frac{5}{2}\right).

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

On a graph, the solution of a system of equations is given by the intersection between the curves. In this graph, the intersection of the two curves happen close to x = -3.25, y = 2.5, hence the solution is approximated by:

D. \left(-\frac{13}{4}, \frac{5}{2}\right)

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

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A triangle has side lengths 8, 11, and 13. Is it a right triangle?
amid [387]

Answer:

It is not a right triangle. It is an obtuse triangle.

Step-by-step explanation:

6 0
3 years ago
This is rlly easy but Im to lazy to do it- I mark brainliest.
kkurt [141]

Answers:

A.   6 Large taxis = 42 seats 9 Small taxis = 36 seats = 78  seats in total

  B.  6 Large taxis =  $498 + 9 Small taxis = $450     498+450= $948

   

    C.  5 Large taxis and 10 Small taxis

Step-by-step explanation:

A.   6 Large taxis = 42 seats 9 Small taxis = 36 seats = 78  seats in total

If I did 8 small taxis the total number of seats would be 74, so I did one small taxi more to make it fair. There would be seats for everyone but 3 seats extra

  B.  6 Large taxis =  $498 + 9 Small taxis = $450     498+450=948

   

    C.  5 Large taxis and 10 Small taxis

While the more small taxis there are, the more cheaper it is for Max but the less seats there would be for 75 people, So I did 1 more small taxi and 1 less large taxi.

The total number of seats now is 75 seats which is perfect amount for 75 people

So the total cheaper cost would $915 while still maintaining a fair amount of seats which is 75

3 0
3 years ago
Work out the value of a and b in the identity.<br> 3ax + 6 - 4(x + b)= 11x + 14
Levart [38]

Answer:

a=5, b=-2

Step-by-step explanation:

If you simplify the equation, you get:

3ax +6 -4x -4b - 11x - 14 = 0 =>

3ax - 15x -4b -8 = 0

group together x's and constants:

(3a-15)x -8 -4b = 0

To make this 0 for all x, we have to find an a such that 3a-15 = 0 and b such that -8-4b = 0. this leads to a=5, b=-2

5 0
3 years ago
A ½in diameter rod of 5in length is being considered as part of a mechanical linkagein which it can experience a tensile loading
Evgesh-ka [11]

Answer:

a. Maximum Load = Force = 27085.09 N

b. Maximum Energy = 3.440 Joules

Step-by-step explanation:

Given

Rod diameter = ½in = 0.5in

Length = 5in

Young's modulus = 15.5Msi

By applying the 0.2% offset rule,

The maximum load the rod can hold before it gets to breaking point is given as follows by taking the strain as 0.2%

Young Modulus = Stress/Strain ------- Make Stress the Subject of Formula

Stress = Strain * Young Modulus

Stress = 0.2% * 15.5

Stress = 0.002 * 15.5

Stress = 0.031Msi

Calculating the area of the rod

Area = πr² or πd²/4

Area, A = 22/7 * 0.5^4 / 4

A = 22/7 * 0.25 / 4

A = 5.5/28

A = 0.1964in²

The maximum load that the rod would take before it starts to permanently elongate is given by

Force = Stress * Atea

Force = 0.031Msi * 0.1964in²

Force = 31Ksi * 0.1964in²

Force = 6.089Ksi in²

Force = 6.089 * 1000lbf

Force = 6089 lbf

1 lbf = 4.4482N

So, Force = 6089 * 4.4482N

Force = 27085.09 N

b.

Using Strain to Energy Formula

U = V×σ²/2·E

Where V = Volume

V = Length * Area

V = 5 in * 0.1964in²

V = 0.982in³

σ = Stress = 0.031Msi

= 0.031 * 1000Ksi

= 31Ksi

= 31 * 1000psi

= 31000psi

E = Young Modulus = 15.5Msi

= 15.5 * 1000Ksi

= 15.5 * 1000 * 1000psi

= 15500000psi

So,

Energy = 0.982 * 31000²/ ( 2 * 15500000)

Energy = 943,702,000/31000000

Energy = 30.442in³psi

------- Converted to ftlbf

Energy = 2.537 ftlbf

-------- Converted to Joules

Energy = 3.440 Joules

7 0
4 years ago
Solve the following system : -x + 5y = 8 and 3x + 7y = -2
poizon [28]

-x + 5y = 8

multiply this equation by 3

-3x + 15y = 24

now add it to the other equation  ( elimination)

-3x + 15y = 24

3x + 7y = -2

-----------------------

0x  + 22 y = 22

divide each side by 22

y =1


substitute into -x + 5y =8  to find x

-x + 5(1) = 8

-x + 5 = 8

-x =3

divide by -1

x =-3

Answer (-3,1)

Choice A


4 0
4 years ago
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