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2 years ago

1. Which range of numbers is most appropriate for the y-axis scale and interval on a graph given the

Mathematics

1 answer:

nata0808 [166]2 years ago

4 0

Answer:

Option B.

Step-by-step explanation:

We need to find the range of numbers is most appropriate for the y-axis scale and interval on a graph for given table.

From the given table it is clear that the minimum value of y is 10 and the maximum value of y is 34.

It means 10 and 34 must be included in the Range.

In option C and D 34 in not included in the range, so these options are incorrect.

In option A, 10 is the minimum value of range and interval of 10 is not possible for the range 10-35, because it contains only multiple of 10 on the y-axis. So, this option is incorrect.

In option B, both 10 and 34 are included and interval of 5 is possible for range 0-35.

Therefore, the correct option is B.

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Solve the following equation. Remember to check for extraneous solutions 1/(x-6) + (x/(x-2)) = (4/(x²-8x+12)).

xxMikexx [17]

Answer:

-1, 2, 6

Step-by-step explanation:

We have to solve the equation as follows: 1/(x-6) + (x/(x-2)) = (4/(x²-8x+12)).

Now, we have, $\frac{1}{x-6} +\frac{x}{x-2} = \frac{4}{x^{2}-8x+12 }$

⇒ $\frac{(x-2)+x(x-6)}{(x-2)(x-6)} = \frac{4}{x^{2}-8x+12 }$

⇒ $\frac{x-2+x^{2}-6x }{(x-2)(x-6)} =\frac{4}{(x-2)(x-6)}$

⇒ $\frac{(x-2)(x-6)}{x^{2}-5x-2 }=\frac{(x-2)(x-6)}{4}$

⇒ $(x-2)(x-6)[\frac{1}{x^{2} -5x-2} -\frac{1}{4} ]=0$

⇒ $(x-2)(x-6) =0$ or, $[\frac{1}{x^{2} -5x-2} -\frac{1}{4} ]=0$

If, (x-2)(x-6) =0, then x=2 or x=6

If, $[\frac{1}{x^{2} -5x-2} -\frac{1}{4} ]=0$ , then $x^{2} -5x-2=4$

and (x-6)(x+1) =0

Therefore, x=6 or -1

So the solutions for x are -1, 2 6. (Answer)

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3 years ago

What is the perimeter of a rectangle that is 2m 10cm by 45cm?

Amiraneli [1.4K]

$P=2l+2w\\
l=2\text{ m }10\text{ cm}=210 \text{ cm}\\
w=45\text{ cm}\\\\
P=2\cdot210+2\cdot45\\
P=420+90\\
P=510 \text{ cm}$

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3 years ago

Suppose an isosceles triangle ABC has A= pi/6 and b=5=c. What is the length of a^2.

ioda

5^2(2-sqrt3) is the answer here is the link to how to do it https://socratic.org/questions/suppose-an-isosceles-triangle-abc-has-a-30-and-b-c-5-what-is-the-leng...

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2 years ago

Based on the data in this two-way table, if a flower is picked at random, what is the probability of getting a yellow flower?

Westkost [7]

Answer 50:50

If you add 105 and 210 together you get 315 which is equal to the number of yellow flowers alone

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2 years ago

Read 2 more answers

Evaluate (y - 9) + (3 + x), when y = 15 and x = 5

svet-max [94.6K]

Answer:

Step-by-step explanation:

It says 'Evaluate (y - 9) + (3 + x), when y = 15 and x = 5'.

So we'd put 15 in y's place. It'll look like this (15 - 9).

Then we'd put 5 in x's place. It'll look like this (3 + 5).

You subtract (15 - 9) which equals 6. And you'd add (3 +5) which equals 8. You add 6 + 8 together since those are your answer for the parentheses. Your final should be 14. Hopefully this helped!

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2 years ago