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GenaCL600 [577]
3 years ago
12

5. If f(x) = -x2 - 7x +4 and g(x) = -5x - 3, what is the value of f(-2)-g(6)

Mathematics
1 answer:
Alex787 [66]3 years ago
5 0

9514 1404 393

Answer:

  47

Step-by-step explanation:

Evaluate the functions and find the required difference.

  f(-2) = -(-2)^2 -7(-2) +4 = -4 +14 +4 = 14

  g(6) = -5(6) -3 = -33

Then the difference is ...

  f(-2) -g(6) = 14 -(-33) = 14 +33 = 47

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David, Ben, and Jordan shared stickers in a ratio of 8 : 9 : 10. If Ben had 36 stickers, how many stickers did Jordan have?
pantera1 [17]

Answer:

Jordan had 40 stickers.

Step-by-step explanation:

For this ratio, we have David:Ben:Jordan as 8:9:10, and so we need to make it as a more complex fraction, 8/9/10, now we need a multiplier to get us from 9 stickers of Jordan to 36, like a giant one. The common multiplier in this case is 4, and we know that the values must always stay proportional. We multiply everything by 4,and we get a final ratio of 32:36:40, and since Jordan is the last in the ratio David:Ben:Jordan, Jordan ends up with 40 stickers.

3 0
3 years ago
Please help I will give Brainliest please!
WITCHER [35]

Part (a)

The domain is the set of allowed x inputs of a function.

The graph shows that x = 0 is not allowed because of the vertical asymptote located here. It seems like any other x value is fine though.

<h3>Domain: set of all real numbers but x \ne 0</h3>

To write this in interval notation, we can say (-\infty, 0) \cup (0, \infty) which is the result of poking a hole at 0 on the real number line.

--------------

The range deals with the y values. The graph makes it seem like it stretches on forever in both up and down directions. If this is the case, then the range is the set of all real numbers.

<h3>Range: Set of all real numbers</h3>

In interval notation, we would say (-\infty, \infty) which is almost identical to the interval notation of the domain, except this time of course we aren't poking at hole at 0.

=======================================================

Part (b)

<h3>The x intercepts are x = -4 and x = 4</h3>

We can compact that to the notation x = \pm 4

These are the locations where the blue hyperbolic curve crosses the x axis.

=======================================================

Part (c)

<h3>Answer: There aren't any horizontal asymptotes in this graph.</h3>

Reason: The presence of an oblique asymptote cancels out any potential for a horizontal asymptote.

=======================================================

Part (d)

The vertical asymptote is located at x = 0, so the equation of the vertical asymptote is naturally x = 0. Every point on the vertical dashed line has an x coordinate of zero. The y coordinate can be anything you want.

<h3>Answer: x = 0 is the vertical asymptote</h3>

=======================================================

Part (e)

The oblique or slant asymptote is the diagonal dashed line.

It goes through (0,0) and (2,6)

The equation of the line through those points is y = 3x

If you were to zoom out on the graph (if possible), then you should notice the branches of the hyperbola stretch forever upward but they slowly should approach the "fencing" that is y = 3x. The same goes for the vertical asymptote as well of course.

<h3>Answer:  Oblique asymptote is y = 3x</h3>
5 0
2 years ago
Will works 7 hours a day, 6 days a week.
exis [7]
A day
= £9.20x7
= £64.40

6 days
£64.40x6= £386.40

The wages he has after he shared it with his mom
£386.40/7x5
= 55.20x5
= £276

£1932/£276= 7

It will take him 7 weeks to afford a car worth £1932.
6 0
2 years ago
FIRST PROPER ANSWER GETS BRAINLIEST ON TEST PLEASE HELP!!!
Irina-Kira [14]
Area of a semicircle = \pi r² / 2 
r= 5/2 = 2.5

So: A= 3.14 x 2.5² / 2  A = 9.8125 so rounding to the nearest hundredth is A=9.81
8 0
3 years ago
Read 2 more answers
If x ≥ 0, then x + |x| = ?
oee [108]

Answer:

x + |x| = 2x

Step-by-step explanation:

if the number is more than 0 or greater, then if you add it to itself, it will be equal to the value of two of the previous number. Hope this helps

8 0
2 years ago
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