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3 years ago

9

State restrictions on the variable.

1 answer:

Mandarinka [93]3 years ago

7 0

There's one unforgivable taboo that transcends just about every branch of mathematics, and that's dividing by zero. Division by zero is undefined, so any fraction with a zero in its denominator is by definition absurd. For what values of x would the denominators on either of those fractions be zero? Those will define the restrictions on your variable.

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Are there any linear quantities in the chart shown? And if so, what is the slope of said pairs?

VashaNatasha [74]

The chart does not represent a linear quantity

<h3>How to determine if there are linear quantities in the chart shown?</h3>

From the chart, we have the following coordinates

(x, y) = (0.10, 0.14), (0.50, 0.32), (1.00, 0.46), (1.70, 0.59) and (2.00, 0.63)

To determine if the chart is a linear quantity, we simply calculate the slope using the coordinates.

The slope is calculated as:

m = (y2 - y1)/(x2 - x1)

So, we have:

m = (0.32 - 0.14)/(0.50 - 0.10) = 0.45

m = (0.46 - 0.32)/(1.00 - 0.50) = 0.28

In the above computations, the calculated slopes are not equal

Hence, the chart does not represent a linear quantity

Read more about linear equations at:

brainly.com/question/1884491

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7 0

2 years ago

For what value of k are the roots of the quadratic equation kx (x-2)+6=0 equal?

ser-zykov [4K]

Answer:

$\boxed{\sf k=6}$

Step-by-step explanation:

$\sf kx (x-2)+6=0$

Expand brackets.

$\sf kx^2 -2kx+6=0$

This is in quadratic form.

$\sf ax^2 +bx+c=0$

Since this is for equal roots:

$\sf b^2 -4ac=0$

$\sf a=k\\b=-2k\\c=6$

$\sf (-2k)^2 -4(k)(6)=0$

$\sf 4k^2-24k=0$

$\sf 4k(k-6)=0$

$\sf 4k=0\\k=0$

$\sf k-6=0\\k=6$

Plug k as 0 to check.

$\sf \sf 0x^2 -2(0)x+6=0\\6=0$

False.

So that means k must equal 6.

3 0

3 years ago

18 shirts for 279.45 what is the unit rate of the shirts?

adelina 88 [10]

The answer is 15.525. All you have to do is divide 279.45 by 18 which gives you 15.525.

3 0

3 years ago

A carton of eggs costs $2.90 and a package of bacon costs $3.10. How much

Dominik [7]

Answer:

$8.90

Step-by-step explanation:

((2)(2.90))+(3.10)= $8.90

3 0

3 years ago

Read 2 more answers

Solve the equation p/4+10=14

Gelneren [198K]

Answer:

p=16

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers