All categories

4 years ago

N divided by 7 is less than 15 how do I solve this to graph it

Mathematics

1 answer:

kiruha [24]4 years ago

3 0

N/7 < 15

You can solve for N in this inequality, but there is nothing else to solve for.

We can treat this inequality like a standard algebraic equation.

<em><u>Multiply both sides by 7</u></em>

N < 105

The value of N is less than the value of 105.

You might be interested in

What is 5x - 2=13 using the Golden Rule of Equations.

Hoochie [10]

According to my calculations, x should equal 2.2

4 0

3 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

4 years ago

Rewrite each equation in vertex form by completing the square. Then identify the vertex.

Cerrena [4.2K]

ANSWER

Vertex form:

$y = ( {x + 4)}^{2} - 11$

Vertex

V(-4,-11)

EXPLANATION

The given expression is

$y = {x}^{2} + 8x + 5$

We complete the square to get the vertex form.

Add and subtract half the square of the coefficient of x.

$y = {x}^{2} + 8x + 16 + 5 - 16$

$y = ( {x + 4)}^{2} - 11$

The vertex is

V(-4,-11)

7 0

3 years ago

Read 2 more answers

Distribute -(-4v+6.3w-9.8)

Firdavs [7]

Answer:

4v-6.3w+9.8

Step-by-step explanation:

If you distribute the negative sign (same as distributing -1), then you get -(-4v) + (-6.3w) - (-(9.8))

Basically it's switching the signs

Hope that helped :)

3 0

3 years ago

HI PLZ HELPI NEED AN ANSWER!! (And will mark brainliest if a legit answer thanks)

trapecia [35]

Option 3: a 90 degree rotation clockwise

You can tell that it is 90 degrees because the original started completely in quadrant 2 and the final image is completely in quadrant 1. If it was only rotated 45 degrees the final image would be part in quadrant 2 and part in quadrant 1. It was rotated clockwise because that is the way a clock goes.

Hope this helps! ;)

6 0

3 years ago