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skad [1K]
3 years ago
7

how would you say "the function is positive from -9 to 3 over the x axis but -9 is not included" using interval notation​

Mathematics
1 answer:
notka56 [123]3 years ago
5 0

Answer:

The function would be positive in:

<u>(-9, 3] </u>

Step-by-step explanation:

A function is considered positive on the X-axis when the changed values ​​in the function are greater than zero.  f(x) > 0

And is considered negative when f(x) < 0.

In this case, the numbers that make the function positive are the numbers from -9 to 3, but not including -9.

This can be written as (-9, 3]

It means that -9 is not taken but any number greater than -9 is.

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Find the number of bit strings that satisfies the given conditions. The bit strings of length 11 having at least four 1s
Rainbow [258]

Answer:

Step-by-step explanation:

3 0
3 years ago
Two people start from the same point. One walks east at 4 mi/h and the other walks northeast at 8 mi/h. How fast is the distance
kvasek [131]

Answer:

5.89 mi/h

Step-by-step explanation:

This problem can be solved by using different methods. I will use vectors since it's the simplest way in which we can solve it. This can be solved by using related rates of change though.

First, we start by drawing a diagram with the velocity vectors.

A= velocity of the first person

B= velocity of the second person

C= velocity in which they are moving away from each other.

Since there is no acceleration in the problem, we can suppose we are talking about constant speeds, so the velocity at which they are moving away from each other will always remain constant. (It doesn't matter what time it is, the velocity will always be the same)

Having said this we can solve this problem by using the components, by using law of cosines or graphically. I will use law of cosines. The idea is to find the length of side c.

Law of cosines:

C^{2}=A^{2}+B^{2}-2ABcos \gamma

so we can solve the formula for C so we get:

C=\sqrt{A^{2}+B^{2}-2ABcos \gamma}

and now we can substitute the values we know:

C=\sqrt{(4)^{2}+(8)^{2}-2(4)(8)cos 45^{o}}

C=\sqrt{16+64-32\sqrt{2}}

C=\sqrt{80-32\sqrt{2}} mph

if we want an exact answer, then that will be the exact answer, which approximates to:

C=5.89 mph

4 0
3 years ago
Write the equation of the line in the slope-intercept form.<br> M=4/5, y-intercept (0,1)
netineya [11]

Answer:

y=4/5x+1

Step-by-step explanation:

y=mx+b

  • m is the slope
  • b is the y-intercept

m= 4/5

b=   1   (0,1) y-value

Equation:

           y=4/5x+1

8 0
3 years ago
-4 1/2 ÷ (-2 2/3)<br><br> I need it as a mixed number in simplified form.
Leya [2.2K]
(-4 1/2) / (-2 2/3) =.....turn to improper fractions
(- 9/2) / (-8/3) =...when dividing fractions, flip what u r dividing by, then multiply

-9/2 * -3/8 =
27/16 =
1 11/16 <==

4 0
3 years ago
Plz help me this was due yestrday but my mom wont let me do it
AURORKA [14]

Answer:

120

Step-by-step explanation:

z=8 w=8

7(8)=56

8(8)=64

56+64=120

8 0
3 years ago
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