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GREYUIT [131]
3 years ago
8

Find the vertex of f(r)=-(r-12)(r+3)

Mathematics
1 answer:
ollegr [7]3 years ago
4 0

Answer:

So here the vertex is -12 and +3 because it's when it goes it's higher and then it's lower

Step-by-step explanation:

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A motorboat takes 5 hours to travel 100mi going upstream. The return trip takes 2 hours going downstream. What is the rate of th
Temka [501]
The boat went 5hours upstream, let's say it has a "still water" speed rate of "b", it went 100miles... however, going upstream is going against the current, let's say the current has a speed rate of "c"

so, when the boat was going up, it wasn't really going "b" fast, it was going " b - c " fast, because the current was eroding speed from it

now, when coming down, the return trip, well the length is the same, so the distance is also 100miles, it only took 2hrs though, because, the boat wasn't coming down  "b" fast, it was coming down " b + c " fast, because the current was adding speed to it, so it came down quicker

now, recall your d = rt, distance = rate * time

\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
upstream&100&b-c&5\\
downstream&100&b+c&2
\end{array}
\\\\\\
\begin{cases}
100=(b-c)5\\
\qquad \frac{100}{5}=b-c\\
\qquad 20=b-c\\
\qquad 20+c=\boxed{b}\\
100=(b+c)2\\
\qquad 50=b+c\\
\qquad 50=\boxed{20+c}+c
\end{cases}

solve for "c", to see what's the current's speed

what's "b"?  well 20+c = b
4 0
2 years ago
Two shops, Lidal and Oldi, sell the same brand of toilet rolls but with different package sizes.
xeze [42]

Lidal's price is better

Step-by-step explanation:

Lidal

4 for £2.04

1 for £2.04/4= £0.51= 51 p

Oldi

9 for £4.68

1 for £4.68/9= £0.52= 51 p

Lidal offers better price per roll

5 0
3 years ago
A linear function is parallel to the line y= 4x + 8 and also goes through the point (2,15).What is the linear equation for this
horrorfan [7]

When written in the y=mx+q form, the slope of a line is given by the coefficient m. Moreover, two lines are parallel if the have the same slope.


Now, the slope of the known line is 4, so our line's slope will be four as well.


In general, when you know the slope m of a line and one of its points (x_0,y_0), the equation of the line can be derived from the following formula:


y-y_0 = m(x-x_0)


Which in your case becomes


y-15 = 4(x-2)


Expand the right hand side and solve for y:


y = 4x+7

3 0
3 years ago
Math problem help please
Harman [31]

Answer:

One ordered pair would be (1, -6).

Step-by-step explanation:

Let x = 1, then

3(1) - y = 9

-y = 9 - 3 = 6

y = -6.

5 0
3 years ago
Read 2 more answers
Hello, could someone please help me find three pairs for this question
amid [387]

Answer:

x - y = -3        x + y = 9

x      y            x     y

-2 , 1              -2 , 11

-1 , 2              -1 , 10

0 , 3               0 , 9

1 , 4                1 , 8

2 , 5                2 , 7

Hope this helps.

7 0
2 years ago
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