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2 years ago

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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there are a total of 100 balloons.if the ratio of yellow balloons to blue balloons is 8 to 12,how many of them are yellow?

IrinaK [193]

The ratio of yellow balloons to blue balloons is 8:12
Then there are 100 balloons. Making the equation, we are able to have:
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3 years ago

15. JAGUARUNDI A jaguarundi springs from a fence post to swat at a low flying bird.

sukhopar [10]

Answer:

The discriminant, -14.71 < 0, shows that there is no solution of the equation, h = -16·t² + 22.3·t + 2, at the line 'h = 10' feet, therefore, the Jaguarundi height as she springs will not be up to 10 feet and therefore she will not reach the bird

Step-by-step explanation:

From the question, the equation that models the Jaguarundi's height, 'h', ma be written approximately as follows;

h = -16·t² + 22.3·t + 2

Where;

t = The time (duration) in seconds

The discriminant of the equation a·x² + b·x + c = 0 is b² - 4·a·c

When h = 10, we have;

10 = -16·t² + 22.3·t + 2

∴ 0 = -16·t² + 22.3·t + 2 - 10 = -16·t² + 22.3·t - 8

The discriminant of the given quadratic equation is given as follows;

The discriminant = 22.3² - 4 × (-16 × (-8)) = -14.71 < 0

Therefore, the function, h = -16·t² + 22.3·t + 2 has no real root at h = 10

The parabola does not reach or pass through the line h = 10 which is the height at which the bird is flying.

The Jaguarundi will not reach the bird flying at the height of 10 feet.

7 0

3 years ago

Read 2 more answers

One fifth of the sum of a number and -3 is twice the number

aleksley [76]

Answer:

x = $\frac{-1}{3}$

Step-by-step explanation:

Let the number be x.

$\frac{1}{5} (x - 3) = 2x\\$

x - 3 = 10x

9x = -3

x = $\frac{-1}{3}\\$

6 0

3 years ago

Which set of ordered pairs represents y as a function of x?

Serjik [45]

Answer:

D{(0, 0), (-1, -0.5), (-2, -1), (-3, -1.5), (-4, -2)}

Step-by-step explanation:

A function is a relation in which we take every element of the first group and assign an unique element of the second group.

So, the set of ordered pairs that represents y as a function of x is the set that take every value of x and assign an unique value of y.

Then, the set A is not a function because we have the ordered pairs (3,9) and (3,16) in which we have two values of y for the value of x=3.

At the same way, we can said that B and C aren't functions.

Finally, D is the set of ordered pairs that represents y as a function of x because every x has an unique value of y.

6 0

3 years ago