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Jobisdone [24]
3 years ago
9

A parabola can be drawn given a focus of (-4, 4) and a directrix of y = –6. Write

Mathematics
1 answer:
AlexFokin [52]3 years ago
5 0

Answer:

6y+2x

Step-by-step explanation:

A parabola can be drawn given a focus of (-4, 4) and a directrix of y = –6. Write

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Joes score increased by 7 is 67
Virty [35]

his score was increased... so if he is now at 67 and it was increased by 7 so his first grade would have been 60.

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What is greater 8ft or 3yd
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3yds because 1 yards is 3 feet so 3 times 3=9 feet greater than 8feet
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Given 5n² + 6n + 7 = n² - 4n : a. Find the value of the discriminant. b. State the number and type of roots/solutions/zeros.[2 r
Vika [28.1K]
\bf 5n^2+6n+7=n^2-4n\implies 5n^2+6n+7-n^2+4n=0
\\\\\\
4n^2+10n+7=0\\\\
-------------------------------\\\\
\begin{array}{llccll}
&{{ 4}}x^2&{{ +10}}x&{{ +7}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}
\\\\\\
discriminant\implies b^2-4ac=
\begin{cases}
0&\textit{one solution}\\
positive&\textit{two solutions}\\
negative&\textit{no solution}
\end{cases}

if you get a positive value, that means 2 real solutions
if you get 0, means 1 real solution only
if you get a negative value, is an imaginary root solution, same as saying no solution.
4 0
3 years ago
Describe the graph of the function.y = |x – 4| – 7
juin [17]
This is always ''interesting'' If you see an absolute value, you always need to deal with when it is zero:

(x-4)=0 ===> x=4,

so that now you have to plot 2 functions!

For x<= 4: what's inside the absolute value (x-4) is negative, right?, then let's make it +, by multiplying by -1:

|x-4| = -(x-4)=4-x
Then:

for x<=4, y = -x+4-7 = -x-3

for x=>4, (x-4) is positive, so no changes:

y= x-4-7 = x-11,

Now plot both lines. Pick up some x that are 4 or less, for y = -x-3, and some points that are 4 or greater, for y=x-11

In fact, only two points are necessary to draw a line, right? So if you want to go full speed, choose:

x=4 and x= 3 for y=-x-3

And just x=5 for y=x-11

The reason is that the absolute value is continuous, so x=4 works for both:

x=4===> y=-4-3 = -7

x==4 ====> y = 4-11=-7!

abs() usually have a cusp int he point where it is =0

Hope it helps, despite being this long!
3 0
3 years ago
Read 2 more answers
Penelope goes to work after school for 4.5 hours on Mondays, Tuesdays, and Fridays. She doesn’t have classes on Wednesdays or Th
iVinArrow [24]

Answer:

Her hourly rate is <u>$14</u>.

Step-by-step explanation:

Given:

Penelope goes to work after school for 4.5 hours on Mondays, Tuesdays, and Fridays.

She works 8 hours each on Wednesdays or Thursdays.

Now, to find her hourly rate.

So, total hours Penelope work on Mondays, Tuesdays, and Fridays:

4.5+4.5+4.5=13.5\ hours.

And, total hours she work on Wednesdays and Thursdays:

8+8=16\ hours.

Now,<em><u> the total hours each week she work:</u></em>

13.5+16=29.5\ hours.

<u><em>Total money she makes each week</em></u> = $413.

Now, to get the hourly rate we divide the total hours each week she work by total money she makes each week:

413\div 29.5

=\$14.

Therefore, her hourly rate is $14.

6 0
3 years ago
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