MATHEMATICS HIGH SCHOOL

Which value is included in the solution set for the inequality graphed on the number line?A number line going from negative 4 to positive 4. An open circle is at negative 2. Everything to the left of the circle is shaded.
–5
–2
0
3

Answers

Answer 1
Answer:

Answer:

the answer is actually (A_-5)

Step-by-step explanation:

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Solve for D
6/34 = D/68

Answers

If you would like to solve for the variable in the proportion 6/34 = D/68, you can do this using the following steps:

6/34 = D/68         /*68
D = 6/34 * 68
D = 12

The correct result would be D = 12.

For the function f(x) = -2(x + 3)^2 -1, identify the vertex, domain, and range. A.) The vertex is (3, -1), the domain is all real numbers, and the range is y ≥ -1. B.) The vertex is (3, -1), the domain is all real numbers, and the range is y ≤ -1. C.) The vertex is (-3, -1), the domain is all real numbers, and the range is y ≤ -1. D.) The vertex is (-3, -1), the domain is all real numbers, and the range is y ≥ -1

Answers

ok so domain is all allowed numbers look at deonomenator and don't allow any numbers that will make it zero none that means domain=all real numbers vertex in form y=a(x-h)^2+k (h,k)=vertex we have y=-2(x+3)^2-1 h=-3 k=-1 vertex=(-3,-1) range the vertex opens down so max is y=-1 y≤-1 domain is all real vertex is (-3,-1) y≤-1 C

Pamela has 4 pink ribbons, 3 green ribbons, and 1 blue ribbon. what fraction of Pamela's ribbons are green?

Answers

The total number of ribbons is 8 because 4 + 3 + 1 is 8
The number of green ribbons is 3
That means that 3 out of the 8 ribbons are green
Answer: 3/8
4 + 3 + 1 = 8
1 of those 8 is green
1/8

What is the answer 6 7/8 - 1 2/8

Answers

6 7/8
- 1 2/8
_______
5 5/8

Make sense?
6 7/8 - 1 2/8 = 5 5/8          (6 - 1 = 5)          (7 - 2 = 5)    
The eight stay the same thing because the denominator is the same if the denominator is not the same so we do the lowest common denominator (LCD).

A stadium has 55,000 seats. Seats sell for ​$28 in Section​ A, ​$16 in Section​ B, and ​$12 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in ​$1,158,000 from each​ sold-out event. How many seats does each section​ hold?

Answers

A=number of seats in section A
B=number of seats in section B
C=number of seats in section C

We can suggest this system of equations:

A+B+C=55,000
A=B+C                                      ⇒A-B-C=0
28A+16B+12C=1,158,000

We solve this system of equations by Gauss Method.

1             1              1               55,000
1            -1            -1                         0
28         16           12          1,158,000 


1             1              1               55,000
0            -2             -2             -55,000                                    (R₂-R₁)
0           12             16           382,000                                    (28R₁-R₂) 


1            1                1              55,000
0           -2              -2             -55,000
0            0                4               52,000                                     (6R₂+R₃)

Therefore:

4C=52,000
C=52,000/4
C=13,000


-2B-2(13,000)=-55,000
-2B-26,000=-55,000
-2B=-55,000+26,000
-2B=-29,000
B=-29,000 / -2
B=14,500.

A + 14,500+13,000=55,000
A+27,500=55,000
A=55,000-27,500
A=27,500.

Answer: there are 27,500 seats in section A, 14,500 seats in section B and 13,000 seats in section C.

If f(1)=3 and f(n)=-2f(n-1)+1,then f(5)=

Answers

The value f(5) when f)1) = 3 is f(5) = 43.

How to find the 5th term of the sequence?

The fifth term of the sequence can be found by finding the value of all the terms that precede it.

We can find the value of f(5) as shown below:

The value of f(1) is given as:

f(1) = 3

With this, we can find the value of f(2) and with f(2), we can find the value of f(3), and so on.

f(n) = - 2f(n-1)+1

At n = 2:

f(2) = -2f(2-1)+1

= - 2f(1)+1

= - 2*3 + 1

= - 5

When n = 3:

f(3) = -2*-5 + 1

= 11

When n = 4:

f(4) = -2*11 + 1

= -21

When n = 5:

f(5) = -2*-21 + 1

= 43

Therefore, we have found the value of f(5) to be f(5) = 43.

Learn more about sequences here: brainly.com/question/6561461

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f(5) = - 2f(4) + 1
f(4) = -2f(3) + 1
f(3) = -2f(2) + 1
f(2) = -2f(1) + 1
Therefore:
 f(2) = -2(3) + 1 = -5
f(3) = -2(-5) + 1 = 11
f(4) = -2(11) + 1 = -21
Therefore f(5) = -2(-21) + 1 = 43
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