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Fantom [35]
3 years ago
8

Question 2

Mathematics
1 answer:
Oliga [24]3 years ago
6 0

Answer:

9

Step-by-step explanation:

you want the trinomial (x*x - 6x + __ ) to be written as a binomial squared.

So we would need to realize that the constant would be equal to (-6/2)^2  =(-3)^2 = 9

We have completed the square.

f(x) = 4*( x - 3)^2  + 20   is now in Vertex Form

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Yoko has scored 81 , 84 , 84 , 69 , and 76 on her previous five tests. What score does she need on her next test so that her ave
kkurt [141]
Took must make a 92 on the next test.
(81+84+84+69+76+x)/6=81
(394+x)/6=81
Multiply by 6 on both sides
394 + x = 486
Subtract 394 from both sides.
x= 92
7 0
3 years ago
A box contains cards bearing numbers from 6 to 70. If one card is drawn at random from the box, find the probability that it bea
777dan777 [17]

Answer:

a) 4/65 b) 13/65 c) 12/65 d) 19/65

Step-by-step explanation:

Probability is the likelihood or chance that an event might occur.

Probability = expected outcome of event/Total outcome of event

If a box contains cards bearing numbers from 6 to 70, the total outcome will be the total number present from 6 to 70 which is 65

a) The amount of one digit number we have are 4 i.e {6,7,8,9}. This will be our expected outcome in this case.

The probability that the number drawn bears a one digit number will be 4/65

b) For numbers divisible by 5, the numbers that are divisible by 5 from the number drawn are {10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70}

The total expected outcome in this case = 13

The probability that the number drawn is divisible by 5 = 13/65

c) For odd numbers less than 30, they are {7,9,11,13,15,17,19,21,23,25,27,29}

The total expected outcome in this case = 12

The probability that the number drawn are odd numbers less than 30 = 12/65

d) For composite number between 50 and 70, this are numbers that are within this range and they includes {51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69}

The total expected outcome in this case = 19

The probability that the number drawn are composite numbers between 50 and 70= 19/65

8 0
3 years ago
2. A cake in the shape of a circus tent is used as a centerpiece at a celebration. The cake consists of a cylinder and a cone. T
SashulF [63]
1808.64

Hope this helped!
8 0
3 years ago
Read 2 more answers
Find the equation of the straight line passing through the point (3,5) which is perpendicular to the line y=3x+2
Levart [38]

Answer:

the desired equation is y = (-1/3)x + 6

Step-by-step explanation:

Let the given line be A:  y=3x+2

The slope of line A is m = 3.

The slope of any line B which is perpendicular to line A is the negative reciprocal of the slope of A:  m = -(1/3).

The particular perpendicular line that passes through (3, 5) is then

5 = (-1/3)(3) + b, which simplifies to 5 = -1 + b, or b = 6.

Thus, the desired equation is y = (-1/3)x + 6

7 0
3 years ago
If f(x)=x/3 -2 and g(x)=3x^2+2x-6 find (f+g)(x)
umka21 [38]

Answer:

(f + g)(x) = 3x² + (7/3)x - 8

Step-by-step explanation:

To find (f + g)(x), you need to add both the f(x) and g(x) equations together.

f(x) = x/3 - 2 ..... which is equal to ... f(x) = (1/3)x - 2

g(x) = 3x² + 2x - 6

(f + g)(x) = ((1/3)x - 2) + (3x² + 2x - 6)          <----- Add both equations

(f + g)(x) = 3x² + (1/3)x + 2x - 2 - 6              <----- Rearrange (2 = 6/3)

(f + g)(x) = 3x² + (7/3)x - 8                           <----- Simplify similar terms

6 0
2 years ago
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