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2 years ago

If 18 is subtracted from twice the square of an integer, the

Mathematics

1 answer:

kherson [118]2 years ago

6 0

Answer:

-3/2

Step-by-step explanation:

Let x = the integer:

2x^2 - 18 = 9x

2x^2 - 9x - 18 = 0

Now either factor that or use the quadratic formula if you're lazy like me.

x = -3/2 and 6, so x must be 6 because it has to be an integer.

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What is the LCM of 4 and 14

horsena [70]

Answer:

Step-by-step explanation:

4x7=28

14x2=28

7 0

2 years ago

Read 2 more answers

let f(x)=2x^2+7x-4/x^3-1 what is the domain,range,roots,end behavior and intersect the y-axis of f(X)

victus00 [196]

Here's the factorization of the equation
f(x) = [ (x+4)(2x-1) ] / [ (x-1)(x^2+x+1) ]

Domain
The domain of a function is the set of input or argument values for which the function is real and defined.
- function domain : x < 1 or x > 1

Range
Resulting f(x) values: all Real Numbers

Roots
x = 1/2 & -4

Axis interception points
x-axis: (1/2, 0) , (-4, 0)
(y-axis): (0, 4)

Asymptotes
Vertical: x = 1
Horizontal: y = 0

3 0

2 years ago

I don't need you to work it out, just theorem(s) i need to reach the answer :)

VikaD [51]

Not sure why such an old question is showing up on my feed...

Anyway, let $x=\tan^{-1}\dfrac43$ and $y=\sin^{-1}\dfrac35$ . Then we want to find the exact value of $\cos(x-y)$ .

Use the angle difference identity:

$\cos(x-y)=\cos x\cos y+\sin x\sin y$

and right away we find $\sin y=\dfrac35$ . By the Pythagorean theorem, we also find $\cos y=\dfrac45$ . (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if $\tan x=\dfrac43$ , then (by Pythagorean theorem) $\sec x=\dfrac53$ , so $\cos x=\dfrac35$ . And from this, $\sin x=\dfrac45$ .

So,

$\cos\left(\tan^{-1}\dfrac43-\sin^{-1}\dfrac35\right)=\dfrac35\cdot\dfrac45+\dfrac45\cdot\dfrac35=\dfrac{24}{25}$

7 0

3 years ago

What is the lcd of 8/15 11/30 and 3/5

pogonyaev

Answer:

LCD(8/ 15 , 11/ 30 , 3/ 5 ) = LCM(15, 30, 5) = 2×3×5 = 30

Step-by-step explanation:

7 0

2 years ago

121 bricks in 16.5 minutes 22 brings in m minutes

Westkost [7]

Use a proportion.

121/16.5 = 22/m

121m = 16.5 * 22

11m = 16.5 * 2

11m = 33

m = 3

3 minutes.

4 0

2 years ago