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4 years ago

What is the equation to the quadratic function that has zeros at -11 and -2?

Mathematics

1 answer:

harkovskaia [24]4 years ago

6 0

Answer:

x^2 +13x+22 =0

Step-by-step explanation:

Subtract the zero from x

(x- -11) (x- -2) =0

(x+11) (x+2) = 0

Foil

x^2 +2x+11x+22 =0

Combine like terms

x^2 +13x+22 =0

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(-1,5) (0,2) in slope intercept form

xeze [42]

Answer:

Step-by-step explanation:

(-1,5) (0,2)

y2= 2, y1 = 5, x2 = 0, x1 = -1

Slope m = [y2 - y1]/[x2 - x1]

m = {2 - 5}/{0+1}

m = -3/1

m = -3

And

y - y1 = m(x - x1)

y - 5 = -3(x + 1)

y - 5 = -3x - 3

y = -3x - 3 + 5

y = -3x + 2

7 0

4 years ago

Southwest Co-op produces bags of fertilizer, and it is concerned about impurity content. It is believed that the weights of impu

Harman [31]

Answer:

a) 0.216

b) 0.1587

c) 0.369

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 12.2 grams

Standard Deviation, σ = 2.8 grams

We are given that the distribution of weights of impurities per bag is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(contains less than 10 grams of impurities)

P(x < 10)

$P( x < 10) = P( z < \displaystyle\frac{10 - 12.2}{2.8}) = P(z < -0.7857)$

Calculation the value from standard normal z table, we have,

$P(x < 10) =0.216= 21.6\%$

b) P(contains more than 15 grams of impurities)

P(x > 15)

$P( x > 15) = P( z > \displaystyle\frac{15 - 12.2}{2.8}) = P(z > 1)$

$= 1 - P(z \leq 1)$

Calculation the value from standard normal z table, we have,

$P(x > 610) = 1 - 0.8413 = 0.1587 = 15.87\%$

c) P(contains between 12 and 15 grams of impurities)

$P(12 \leq x \leq 15) = P(\displaystyle\frac{12 - 12.2}{2.8} \leq z \leq \displaystyle\frac{15-12.2}{2.8}) \\\\= P(-0.0714 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -0.0714)\\= 0.841 - 0.472 = 0.369 = 36.9\%$

$P(12 \leq x \leq 15) = 36.9%$

d) The mean divide the data in exactly two parts. Since 15 is farther away from the mean as compared to 10, the probability obtained in part (b) is smaller as compared to probability obtained in part (a).

5 0

4 years ago

A pail holds 2 3/4 gallons of water. How much is this in cups?

Sever21 [200]

There are 16 cups in 1 gallon:
16 x 2.75 = 44 cups

3 0

3 years ago

What is the difrence between 25 mililleters and 25 centimeters

borishaifa [10]

Well, each centimeter is 10 millimeters. 25cm=250mm

8 0

4 years ago

A bag Contains five blue marbles two green marbles and three yellow marbles what is the probability of Choosing one Green marble

Bad White [126]

Answer:

3/50.

Step-by-step explanation:

There are 10 marbles in the bag.

Probability( a green marble) = 2/10 = 1/5.

Now we replace the green marble in the bag so it contains 10 marbles again.

Probabilty(a yellow marble) = 3/10.

So Probability(Choosing a green then a red with repeacemen)

= 1/5 * 3/10

= 3/50.

7 0

2 years ago