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3 years ago

6

Find the value of y for the given value of x. y=x2+9;x=−12

1 answer:

DiKsa [7]3 years ago

7 0

Answer:

0

Step-by-step explanation:

0 is what i got

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The question is in the picture. The answer is 14 but I don't know how to get that.

andrezito [222]

Let's convert the problem into Arithmetic progression:
It would be: 5, 9, 13, ....

Here, a = 5, d = 9 - 5 = 4
We know, S(n) = n/2 [ 2a + (n-1)d ]

Substitute the known values,
434 = n/2 [ 2(5) + (n - 1)4 ]
434 * 2 = n [ 10 + 4n - 4 ]
868 = 10n + 4n² - 4n
= 4n² + 6n - 868 = 0

d = b² - 4ac
d = 6² - 4(4)(-868)
d = 36+13888
d = 13924

Now, roots = -b +- √d / 2a
= (-6 + √13924) / 2(4) OR (-6 - √13924) / 2(4)
= (-6 + 118) / 8 OR (-6 - 118) / 8
= 112/8 OR -124/8
= 14 OR -15.5

As number of sticks can't be in negative/decimal or fraction form, -15.5 would be fully rejected.

In short, Your Answer would be 14 [ Remaining root ]

Hope this helps!

7 0

3 years ago

Read 2 more answers

Water is steadily dripping from a faucet into a bowl. You want to write an equation that represents the number of milliliters y

pav-90 [236]

9514 1404 393

Answer:

k = 16
y = 16x

Step-by-step explanation:

y is proportional to x when it satisfies the equation ...

y = kx

where k is the constant of proportionality. The equation can be solved for k by dividing by x:

k = y/x

The value of k for the given relation is ...

k = (320 mL)/(20 s)

k = 16 mL/s . . . the constant of proportionality

Then the equation is ...

y = 16x

7 0

4 years ago

What is the value of x?

soldi70 [24.7K]

Answer:

$5\sqrt{3}$

Step-by-step explanation:

A triangle with angles of 30-60-90 will always have sides that measure in the following proportions:

The side opposite the 30* angle = a

The side opposite the 60* angle = $a\sqrt{3}$

The side opposite the 90* angle = 2a

(I used "a" here because your question uses "x" and I don't want to confuse things, but usually people use "x" rather than "a")

They gave us that the hypotenuse (the side opposite the 90* angle) is 10, from there we can figure out the other sides:

Since the side opposite 90* is 2a, and 2a = 10, divide 10 by 2 and you get a = 5.

Once we know what "a" is, we can fill in the rest:

30* = 5

60* = $5\sqrt{3}$

90* = 10

3 0

3 years ago

The list shows the score of each game completed at a bowling alley during a one-hour period. 90, 96, 120, 124, 130, 135, 140, 14

HACTEHA [7]

90, 96, 120, 124, 130, 135, 140, 145, 148, 290, 290. How would the data graphed on a horizontal number line appear to be clustered or skewed?

6 0

3 years ago

Make the variable in the brackets as the subject of each of the following formulae mx + 2x = 6

Airida [17]

Answer:

See Explanation

Step-by-step explanation:

Given

$mx + 2x = 6$

Required

Make the variable in bracket the subject

From the given expression, none of the variables (m and x) are in brackets.

So, I will solve for m and then solve for x

Solving for m:

$mx + 2x = 6$

Subtract 2x from both sides

$mx = 6 - 2x$

Divide both sides by x

$m = \frac{6 - 2x}{x}$

Solving for x:

$mx + 2x = 6$

Factorize

$x(m+2)= 6$

Divide both sides by m + 2

$x = \frac{6}{m+2}$

7 0

3 years ago