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oksano4ka [1.4K]
3 years ago
13

Travis has decided to budget his spending money. He can spend no more than $ 143.15 every month. He has also decided to spend 5.

2 times as much money on video games as he spends on movies. What linear inequality describes this problem ?
Mathematics
1 answer:
dalvyx [7]3 years ago
4 0

Answer:m<$23.09

Step-by-step explanation: This question is tricky as there are unexplained variables.

Travis plans spending $143.15 every month but only two expenses were given to us, so other possible expenses may or may not be expended in this particular month.

That’s why we must include an inequality here.

Okay, back to the question.

Travis plans spending 5.2 times movie money on video games, my kinda dude.lol

Hence, 5.2m=v

m=movie budget

v=video games budget

But m+v<=143.15, the total proposed budget. Let’s replace v with 5.2m,

We have,

m+5.2m<=143.15

6.2m<=143.15

m<=23.0887

(We’ll have to approximate to the nearest cent)

m<$23.09

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Answer:

True

Step-by-step explanation:

64x³ + 125

64x³ = (4x)³ ← a perfect cube

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Thus 64x³ + 125 ← is a sum of cubes

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First divide both sides by 5. Then you get the answer. -0 or 0 I'm not sure tho


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Step-by-step explanation:

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Given the quadratic equation <img src="https://tex.z-dn.net/?f=y%20%3D%202%28x%20-1%29%5E%7B2%7D%20%2B%208" id="TexFormula1" tit
Sunny_sXe [5.5K]

Answer:

Part 1) "a" value is 2

Part 2) The vertex is the point (1,8)

Part 3) The equation of the axis of symmetry is x=1

Part 4) The vertex is a minimum

Part 5) The quadratic equation in standard form is y=2x^{2}-4x+10

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

y=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

if a > 0 then the parabola open upward (vertex is a minimum)

if a < 0 then the parabola open downward (vertex is a maximum)

The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

so

x=h

In this problem we have

y=2(x-1)^{2}+8 -----> this is the equation in vertex form of a vertical parabola

The value of a=2

so

a>0 then the parabola open upward (vertex is a minimum)

The vertex is the point (1,8)

so

(h,k)=(1,8)

The equation of the axis of symmetry is x=1

The equation of a vertical parabola in standard form is equal to

y=ax^{2}+bx+c

Convert vertex form in standard form

y=2(x-1)^{2}+8

y=2(x^{2}-2x+1)+8

y=2x^{2}-4x+2+8

y=2x^{2}-4x+10

see the attached figure to better understand the problem

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