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mash [69]
3 years ago
13

Type the number to the left of the rational number in the box to the point it represents on the number line.

Mathematics
1 answer:
morpeh [17]3 years ago
3 0

Is it a picture or an answer or something

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Where are the x-intercepts for f(x) = −4cos(x − pi over 2) from x = 0 to x = 2π?
yKpoI14uk [10]
Recall that to get the x-intercepts, we set the f(x) = y = 0, thus

\bf \stackrel{f(x)}{0}=-4cos\left(x-\frac{\pi }{2}  \right)\implies 0=cos\left(x-\frac{\pi }{2}  \right)
\\\\\\
cos^{-1}(0)=cos^{-1}\left[ cos\left(x-\frac{\pi }{2}  \right) \right]\implies cos^{-1}(0)=x-\cfrac{\pi }{2}
\\\\\\
x-\cfrac{\pi }{2}=
\begin{cases}
\frac{\pi }{2}\\\\
\frac{3\pi }{2}
\end{cases}

\bf -------------------------------\\\\
x-\cfrac{\pi }{2}=\cfrac{\pi }{2}\implies x=\cfrac{\pi }{2}+\cfrac{\pi }{2}\implies x=\cfrac{2\pi }{2}\implies \boxed{x=\pi }\\\\
-------------------------------\\\\
x-\cfrac{\pi }{2}=\cfrac{3\pi }{2}\implies x=\cfrac{3\pi }{2}+\cfrac{\pi }{2}\implies x=\cfrac{4\pi }{2}\implies \boxed{x=2\pi }
3 0
3 years ago
Can anyone help me on this problem? Please it doesn’t make sense to me...
Sav [38]

Answer:

6

Step-by-step explanation:

Cost per item is found by dividing the cost by the number of items. If the woman bought n items for $120, the cost of each item is $120/n. If the woman bought 24 more items, n+24, at the same price, then the cost per item is $120/(n+24). The problem statement tells us this last cost is $16 less than the first cost:

120/(n+24) = (120/n) -16

Multiplying by n(n+24) gives ...

120n = 120(n+24) -16(n)(n+24)

0 = 120·24 -16n^2 -16·24n . . . . . . subtract 120n and collect terms

n^2 +24n -180 = 0 . . . . . . . . . . . . . divide by -16 to make the numbers smaller

(n +30)(n -6) = 0 . . . . . . . . . . . . . . factor the quadratic

The solutions to this are the values of n that make the factors zero: n = -30, n = 6. The negative value of n has no meaning in this context, so n=6 is the solution to the equation.

The woman bought 6 items.

_____

Check

When the woman bought 6 items for $120, she paid $120/6 = $20 for each of them. If she bought 6+24 = 30 items for the same money, she would pay $120/30 = $4 for each item. That amount, $4, is $16 less than the $20 she paid for each item.

3 0
3 years ago
X to the power of 3 - 7x + 6 factorise please whole step by step​
Over [174]

Answer:

(x     +  3)(x   -  2)(x - 1)

Step-by-step explanation:

{x}^{3}  - 7x + 6

Factor using Rational Root Theorem.

This means our possible roots are

positve or negative (1,2,3,6). If we try positve 1, it is indeed a root.

This means that

(x - 1)

is a root.

We can divide the top equation by the root (x-1). Our new equation is

( {x}^{2}   +  x - 6)

Now we can factor this completely

(x + 3)(x - 2)

So this equation in factored form is

(x  + 3)(x - 2)(x - 1)

8 0
3 years ago
Herbert goes to the bookstore. He buys 2 books that cost $11 each and 4 books that are on clearance for $9 each. He also buys a
VMariaS [17]
If your question is will he have enough money, the answer is no he will not.
3 0
3 years ago
Read 2 more answers
Someone help -2/5 x 1/4 x 1/5
kari74 [83]

Answer:

Lol i got u homie!

-0.02

(Sorry if that wasn't a fraction but hopefully this helps)

Step-by-step explanation:

7 0
3 years ago
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