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3 years ago

Determine the expression you can substitute for y in to solve the system below.

Mathematics

1 answer:

FromTheMoon [43]3 years ago

6 0

Answer:

Step-by-step explanation:

given are the two following linear equations:

f(x) = y = 1 + .5x

f(x) = y = 11 - 2x

Graph the first equation by finding two data points. By setting first x and then y equal to zero it is possible to find the y intercept on the vertical axis and the x intercept on the horizontal axis.

If x = 0, then f(0) = 1 + .5(0) = 1

If y = 0, then f(x) = 0 = 1 + .5x

-.5x = 1

x = -2

The resulting data points are (0,1) and (-2,0)

Graph the second equation by finding two data points. By setting first x and then y equal to zero it is possible to find the y intercept on the vertical axis and the x intercept on the horizontal axis.

If x = 0, then f(0) = 11 - 2(0) = 11

If y = 0, then f(x) = 0 = 11 - 2x

2x = 11

x = 5.5

The resulting data points are (0,11) and (5.5,0)

At the point of intersection of the two equations x and y have the same values. From the graph these values can be read as x = 4 and y = 3.

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In art class, Arthur has created a triangle painting 1/5 of his painting is purple. He decided he wants to Paint 4/8 of the purp

babymother [125]

$\frac{1}{10}$ part of the whole painting is gold colored.

<u>Solution:</u>

Given that , In art class, Arthur has created a triangle painting $\frac{1}{5}$ of his painting is purple.

He decided he wants to Paint $\frac{4}{8}$ of the purple area gold

We have to find what fraction of the whole painting will be painting?

Now, $\frac{1}{5}$ part of whole painting is purple

And, $\frac{4}{8}$ part of the purple area is gold ⇒ $\frac{4}{8}$ part of the $\frac{1}{5}$ part of whole painting is gold

$\text { Then, fraction of gold color }=\frac{4}{8} \times \frac{1}{5}=\frac{1}{2} \times \frac{1}{5}=\frac{1}{10}$

Hence, $\frac{1}{10}$ part of the whole painting is gold colored.

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3 years ago

Which linear function represents the line given by the point-slope equation y-8=

Nina [5.8K]

Answer:

$f(x)=x+4$

Step-by-step explanation:

we have

$y-8=(x-4)$

This is the equation of the line in point slope form

where

The slope is m=1

The point is (4,8)

Convert to slope intercept form

Isolate the variable y

Adds 8 both sides

$y-8+8=x-4+8$

Combine like terms

$y=x+4$

Convert to function notation

$f(x)=x+4$

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3 years ago

There are 438 students at a middle school. If 38% of the students participate in after school sports what would the number of st

umka21 [38]

Answer:166

Step-by-step explanation:438x.38=166

438 being the total amount of students

.38 being the 38% involved (moved percentage two to the left to make it a decimal)

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3 years ago

Explain the steps to take when writing a coordinate geometry proof.

andrezito [222]

Answer:

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Step-by-step explanation:

3 0

3 years ago

Element X is a radioactive isotope such that every 66 years, its mass

LenKa [72]

Answer:

194.5315427 grams

Step-by-step explanation:

The half-life of element x would be 66 years. So, after 20 years you would have:

.5^(20/66) x 240=0.810548 x 240

=194.5315427 grams of the element left ......

3 0

2 years ago