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2 years ago

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Identify the constant of proportionality from the table.

1 answer:

choli [55]2 years ago

3 0

Step-by-step explanation:

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Can anyone please help me with this? i need a step by step explanation please! very appreciated:)

EastWind [94]

Answer:

Step-by-step explanation:

x and y are variables. That means they represent numbers that are unknown. When we solve for x or y, we are trying to find what number the variable represents.

Y is a number that equals both 5x-9 and 3x+7. If it is a number, it can only have one value, so we can say that 5x-9 and 3x+7 have the same value.

In other words, 5x-9 = 3x+7.

Another way of thinking about this step is substitution. y=3x+7, so in the equation y=5x-9, we can replace the y with 3x+7. It will give 3x+7 = 5x-9.

In either case, we have this new equation

5x-9 = 3x+7.

From here it's just simple algebra- subtract 3x from each side

2x -9 = 7

and add 9 to each side

2x = 16

and divide each side by 2.

x = 8.

All these steps work because if two things equal each other, when you do the same thing to both of them (such as add 9), the new values will still equal each other.

Now that we know that x = 8, we can take one of the original equations

y=5x-9

and put 8 in for x.

y=5*(8) -9.

If x represents the value 8, we can obviously switch out x for 8.

Now simplify

y=40 -9

y = 31

Now we know that x = 8 and y = 31.

5 0

3 years ago

Read 2 more answers

The point-slope form of the equation of a line that passes through points (8,4) and (0, 2) is y-

Oksi-84 [34.3K]

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

While the point-slope equation of a line is given by:

$y-y_ {0} = m (x-x_ {0})$

Where:

m: It's the slope

$(x_ {0}, y_ {0}):$ It is a point through which the line passes

In this case we have a line through:

(8,4) and (0,2)

Therefore, its slope is:

$m = \frac {2-4} {0-8} = \frac {-2} {- 8} = \frac {1} {4}$

Its point-slope equation is:

$y-4 = \frac {1} {4} (x-8)$

Then, we manipulate the expression to find the equation of the slope-intersection form:

$y-4 = \frac {1} {4} x- \frac {8} {4}\\y-4 = \frac {1} {4} x-2\\y = \frac {1} {4} x-2 + 4\\y = \frac {1} {4} x + 2$

Therefore, the cut-off point with the y-axis is $b = 2$

ANswer:

$y = \frac {1} {4} x + 2$

7 0

3 years ago

Help me pls guys/girls

Kamila [148]

Answer:

V = 9.828 * 10^7 mm^3

a= 9.828 b = 7

9,827,000 mm^3

Step-by-step explanation:

The volume of a rectangular prism is

V = l*w*h

V = 1.2 *10^3 * 3.9*10^2 * 2.1*10^2

We multiply the numbers out front and add the exponents (the powers of 10)

V = (1.2*3.9*2.1) * 10^(3+2+2)

V = 9.828 * 10^7 mm^3

Rewriting this in standard form means moving the decimal 7 places to the left. Since there is not enough places add zeros

9,827,000 mm^3

5 0

3 years ago

Solve the given quadratic equation 2x2 + x + 1 = 0.

Ivan

Answer:

2×2+x+1=0

4+x+1=0

5+x=0

x=-5

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B80%7D%7B100%7D%20%20%3D%20" id="TexFormula1" title=" \frac{80}{100} = " alt=" \f

alukav5142 [94]

Answer: 0.8 or 80% (either way is correct)

Explanations 80/100 equals 80 divided by 100 which equals 0.8 ; 0.8 equals 80%

(Hope this helps!)

3 0

3 years ago

Read 2 more answers