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iogann1982 [59]
3 years ago
11

At what position on the number line is the red dot located

Mathematics
1 answer:
shtirl [24]3 years ago
5 0
It seems that you have missed the necessary details for us to answer the question, but anyway, I have found it and here is the answer. Given the number line, the position at which the red dot is located is in D. <span>π</span>/ 2. Hope this is the answer that you are looking for.
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The first three steps in determining the solution set of the system of equations algebraically are shown.
jolli1 [7]
Since both are equivalent to y, the equations must be equivalent.
x^2-x-3= -3x+5
x^2+2x-8=0

(x+4)(x-2)=0
x=-4, x=2

Plug the values of x in to either equation
y=-3(-4)+5
y= 12+5
y=17

y= -3(2)+5
y=-6+5
y=-1

Final answer: (-4,17) and (2,-1)
8 0
3 years ago
Read 2 more answers
Assume you know that a hot-air balloon is currently inflated with a certain amount of air and that the amount is a percent of th
Gemiola [76]

Answer:

<u>Percent air is calculated as:</u>

  • Percent air = Current amount/Total amount *100

<u>Solve for total amount of air:</u>

  • Total amount  = Current amount / Percent air * 100

Substitute the values in hand to get the answer

3 0
3 years ago
What is the equation to the expression -2-3(-4)?​
RoseWind [281]

Answer:

c) -1

Step-by-step explanation:

-2-3-(-4)

=-5+4

=-1

8 0
3 years ago
Consider to circular swimming pools.Pool A has a radius of 12 feet and Pool B has a diameter of 7.5 meters which pool has a grea
mamaluj [8]

C = Pi * d  where C = circumference, d = diameter, r = radius

C = 2*pi *r

we need to watch the units since they are different

Pool A

C = 2 * pi * r

C = 2 * pi * 12  = 24 * pi  in feet


Pool B

C = pi * d

change meters to feet

7.5 m * 3.28 ft/ 1 m  = 24.6 ft

C = pi * 24.6  = 24.6* pi  in ft


Pool B had a greater circumference

24.6 * pi > 24 pi


6 0
3 years ago
PLEASE!!!!! HELP ME!!!!!!
kati45 [8]

Answer:

15 = a_1 r^4 (1)

1 = a_1 r^5 (2)

If we divide equations (2) and (1) we got:

\frac{r^5}{r^4}= \frac{1}{15}

And then r= \frac{1}{15}

And then we can find the value a_1 and we got from equation (1)

a_1 = \frac{15}{r^4} = \frac{15}{(\frac{1}{15})^4} =759375

And then the general term for the sequence would be given by:

a_n = 759375 (\frac{1}{15})^n-1 , n=1,2,3,4,...

And the best option would be:

C) a1=759,375; an=an−1⋅(1/15)

Step-by-step explanation:

the general formula for a geometric sequence is given by:

a_n = a_1 r^{n-1}

For this case we know that a_5 = 15, a_6 = 1

Then we have the following conditions:

15 = a_1 r^4 (1)

1 = a_1 r^5 (2)

If we divide equations (2) and (1) we got:

\frac{r^5}{r^4}= \frac{1}{15}

And then r= \frac{1}{15}

And then we can find the value a_1 and we got from equation (1)

a_1 = \frac{15}{r^4} = \frac{15}{(\frac{1}{15})^4} =759375

And then the general term for the sequence would be given by:

a_n = 759375 (\frac{1}{15})^n-1 , n=1,2,3,4,...

And the best option would be:

C) a1=759,375; an=an−1⋅(1/15)

4 0
3 years ago
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