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Jet001 [13]
2 years ago
5

Which is the result when the equation y = -2/5x + 5/2 is converted to standard form?

Mathematics
2 answers:
finlep [7]2 years ago
5 0

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

to do away with the denominators, we can just use the LCD of all denominators and multiply both sides by it hmm, in this case is 10, the LCD of 5 and 2, so we'll use that.

y=-\cfrac{2}{5}x+\cfrac{5}{2}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{10}}{10(y)~~ = ~~10\left( -\cfrac{2}{5}x+\cfrac{5}{2} \right)} \\\\\\ 10y=-4x+25 \implies 4x+10y=25

mixer [17]2 years ago
4 0

Answer:

 4x+10y-25=0

Step-by-step explanation:

y=-\frac{2}{5} x+\frac{5}{2}

Multiply by 10 on both sides,

10y=-4x+25\\

so 4x+10y-25=0

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900 is 4 1/2% of what?
Svet_ta [14]
Simple, first change the 4.5% into 0.045

Thus,

900=0.045*n

900/0.045=0.045n/0.045

20,000=n

Thus, your answer is 20,000.
3 0
3 years ago
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5 divided by 978 with remainder
grigory [225]

Hi!

978 can't go into 5 at all, so the answer is 0 R: 978

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Value of p,q and r if (2^p)*(3^q)*(7^r)=1176
koban [17]

Answer:

p=3 , q=1 , r=2

Step-by-step explanation:

1176=2*2*2*3*7*7

1176=(2^3)*(3^1)*(7^2)

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Comparing Equation 1 & 2

we get p=3 , q=1, r=2

5 0
3 years ago
A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the
Stolb23 [73]

Answer:

  • t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.

Explanation:

<u>1) Explanation of the model:</u>

  • Given: h(t) = -16t² + 48t

  • This is a quadratic function, so the height is modeled by a patabola.

  • This means that it has a vertex which is the minimum or maximu, height. Since the coefficient of the leading (quadratic) term is negative, the parabola opens downward and the vertex is the maximum height of the soccer ball.

<u>2) Axis of symmetry:</u>

  • The axis of symmetry of a parabola is the vertical line that passes through the vertex.

  • In the general form of the parabola, ax² + bx + c, the axis of symmetry is given by x = -b/(2a)

  • In our model a = - 16, and b = 48, so you get: t = - ( 48) / ( 2 × (-16) ) = 1.5

<u>Conclusion</u>: since t = 1.5 is the axys of symmetry, it means that at t = 1.5 the ball reachs its maximum height and that it will take the same additional time to fall back to the ground, whic is a tolal of  1. 5 s + 1.5 s = 3.0 s.

Answer: t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.

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3 years ago
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Luba_88 [7]

Answer:

Step-by-step explanation:

the answer is 14

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