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Vesna [10]
3 years ago
8

20 points!

Mathematics
2 answers:
Tasya [4]3 years ago
8 0
Basically, to solve this, we need to use the equation:
x^2 + 6x + 8 = 0
Now, to do this we need to simplify:
(x + 4)(x + 2) = 0
(When you multiply these two, you get x^2 + 6x + 8, you can check)
To make 0, one of these two have to make 0. In this case, one could be -4, and one could be -2
So, x = -4, and x = -2 (-2 is larger, -4 is smaller.)
Knowing this, we need to use -b/2a to find the vertex:
-6/2 = -3
Knowing that x is -3, we input it:
-9 + 18 - 8 = 1
Knowing this, we can say that the vertex is (-3, 1)
tigry1 [53]3 years ago
7 0
You can factor it by considering factors of 8 that add to 6.
  8 = 1·8 = 2·4
The latter pair add to 6, so your factorization is
  f(x) = (x + 2)(x + 4)
This product is zero when one of the factors is zero. There are 2 factors, hence 2 zeros of the function.
For x+2 = 0
  x = -2
For x+4 = 0
  x = -4

The graph of a parabola is symmetrical about its vertex, so the line of symmetry is halfway between the zeros, at x = (-2-4)/2 = -3. The y-coordinate of the vertex is the value of the function at this point,
  f(-3) = (-3+2)(-3+4) = -1

a) Your two separate zeros are
  x = -4 (smaller value)
  x = -2 (larger value)


b) The vertex of the parabola is
  vertex = (-3, -1)

_____
You can use a graphing calculator to answer these questions directly from the graph (or to check your work, as the case may be).

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19) Suppose that there are 55 Democrats and 45 Republicans in the US Senate. A committee of seven senators is to be formed by se
andre [41]

Answer:

Probability = 0.12676992

Step-by-step explanation:

The probability of selecting committee of seven composed of all Democrats.

Total number = 45+55= 100

Number of Democrats = 55

Number of committee = 7

Probability= (55C7)/(100/7)

Where C represent combination sign

Probability = (202927725/1.60075608*10^10)

Probability = 0.12676992

7 0
2 years ago
Pls dont guess on it
yuradex [85]

Answer:

2(8a + 8)

Step-by-step explanation:

The easiest way to do this is to substitute <em>a</em> for a number. For example, let's just make things easy and make <em>a </em> = 1.

So, if a = 1, the expression 16a + 8 would be 16(1) + 8 = 24.

Let's find all the expressions that would also equal 24 if <em>a = </em>24.

Plug in 1 for <em>a</em> in each of the equations. You will find that 2(8a + 8) will not equal 24 if <em>a </em>equals 1.

2(8a + 8)

2(8(1) + 8

2(8 + 8)

2(16)

32

4 0
2 years ago
A²b-b²<br> if a = 3 and b = -4
LiRa [457]

The answer is -52

First you must substitute the variables

(3^2)(-4)-(-4^2)

Then you must simplify

-52

8 0
2 years ago
Ancy
iris [78.8K]

Answer: 18:6

Step-by-step explanation:

5 0
3 years ago
26,) If y varies inversely as x, and y = 5 as x = 6, find y for the x-value of 10.
melisa1 [442]

Answer:

3

Step-by-step explanation:

the initial statement is  

y ∝ 1 /x

 to convert to an equation multiply by k the constant

of variation

y = k × 1 /x = k /x

to find k use the given condition

y = 5  when  x = 6

y = k/ x ⇒ k = y x = 5 × 6 = 30

y = 30 /x

when  

x = 10

then

y = 30 /10 = 3

4 0
2 years ago
Read 2 more answers
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