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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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2 years ago

Read 2 more answers

Represent the given condition using a single variable, x. Three consecutive odd integers.

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X
X+2
X+4

Those are 3 consecutive odd integers

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3 years ago

The women’s heptathlon in the Olympics consists of seven track and field events: the 200-m and 800-m runs, 100-m high hurdles, s

SpyIntel [72]

Answer: Prokhorova is more outstanding.

Step-by-step explanation: To compare scores from different distributions, first standardize it:

z-score = $\frac{x-\mu}{\sigma}$

where

x is the individual mean you want to compare

μ is the mean of the population

σ is standard deviation

For Gertrud Bacher:

z-score = $\frac{129-137}{5}$

z-score = $-1.6$ (s)

The negative sign indicates Bacher's mean is less than the mean

For Yelena Prokhorova:

z-score = $\frac{660-600}{30}$

z-score = 2 (cm)

The positive sign indicates Prokhorova's mean is more than the mean.

Using z-score table, you determine the percentiles are:

For Bacher: Percentile = 5.5%

For Prokhorova: Percentile = 97.7%

Bacher's percentile means she is above 5.5% of the participants, while Prokhorova is 97.7% above the other competitors, which means Prokhorova have a better performance and deserves more points.

3 0

3 years ago

Find the slope of the line that passes through the points (0,-4) and (10,3)

expeople1 [14]

Answer:

$\displaystyle m = \frac{7}{10}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Slope Formula: $\displaystyle m = \frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Identify

Point (0, -4)

Point (10, 3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m = \frac{3--4}{10-0}$
[Fraction] Subtract: $\displaystyle m = \frac{7}{10}$

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3 years ago