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Troyanec [42]
3 years ago
8

Quadratic expansions (x-1)(x+8)

Mathematics
1 answer:
solniwko [45]3 years ago
8 0
(x-1)(x+8)=-7.993163109
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Kaylee has $0.90 worth of nickels and dimes. She has a total of 14 nickels and dimes altogether. By following the steps below, d
vladimir1956 [14]

Answer:

10

Step-by-step explanation:

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3 years ago
Please help me urgent!!
arsen [322]
<h3>Hey! </h3>

\sf \longmapsto S_{ 20} =  \dfrac{n}{2}  \times 2a + (n - 1)d \\  \\ \sf\longmapsto S_{20}= \dfrac{20}{2}  \times 2(2) + (20 - 1)6 \\  \\ \sf\longmapsto S_{20}  = 10 \{ 4 + 114 \} \\ \\ \sf \longmapsto \boxed{\bf{S_{20} = 1180}}

Hope it helps :)

8 0
3 years ago
if the zeros of a quadratic formula function F are -2 and 4 what is the equation of the axis of symmetry F?​
Vera_Pavlovna [14]

Option 2 is correct.

The axis of symmetry is, x= 3

Step-by-step explanation:

Given: The zeros of the quadratic function f are 1 and 5.

If the zeroes are at x =1 and at x  =5, then,

the factor equations were  x- 1=0 and x-5 = 0.

Then. the factors were x -1 and x-5 .

Any factorable quadratic is going to have just the two factors, so these are must be them.

Then, the original quadratic was :

or

     [by distributive property  ]

Combine like terms;

               ......[1]

A quadratic equation is of the form: ; where a, b, c are the coefficient ]

On comparing equation [1] with general equation we have;

the value of  a = 1 , b = -6 and c =5

Axis of symmetry states that a parabola is a vertical line that divides the parabola into two congruent halves.

i,e

Then;

Axis of symmetry (x) =

Therefore, the equation of the axis of symmetry is;  x = 3

3 0
2 years ago
Question: Which Town Had The Greatest difference between the actual temp and the wind-chill temp.
Sholpan [36]
Marion is the hottest and east is the coldest I hope that helped
5 0
4 years ago
Read 2 more answers
A survey finds customers are charged incorrectly for an item 20​% of the time. Suppose a customer purchases 14 items. Find the p
WITCHER [35]

Answer:

55.2% probability that the customer is charged incorrectly on at least 3 items.

Step-by-step explanation:

For each item, there are only two possible outcomes. Either it is charged incorrectly, or it is not. The probability of an item being charged incorrectly is independent from other items. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A survey finds customers are charged incorrectly for an item 20​% of the time.

This means that p = 0.2

Find the probability that the customer is charged incorrectly on at least 3 items.

Either the customer is charged incorrectly on 2 or less items, or he is charged on at least 3. The sum of the probabilities of these events is 1.

So

P(X < 3) + P(X \geq 3) = 1

We want P(X \geq 3)

So

P(X \geq 3) = 1 - P(X < 3)

In which

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{14,0}.(0.2)^{0}.(0.8)^{14} = 0.0440

P(X = 1) = C_{14,1}.(0.2)^{1}.(0.8)^{13} = 0.1539

P(X = 2) = C_{14,2}.(0.2)^{2}.(0.8)^{12} = 0.2501

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0440 + 0.1539 + 0.2501 = 0.448

P(X \geq 3) = 1 - P(X < 3) = 1 - 0.448 = 0.552

55.2% probability that the customer is charged incorrectly on at least 3 items.

6 0
3 years ago
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