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3 years ago

Write the Quadratic Formula

Mathematics

1 answer:

Evgen [1.6K]3 years ago

3 0

Answer:

$y=x^2-4$

Step-by-step explanation:

we know that

The function of the graph is a vertical parabola open upward

The vertex is a minimum

The equation of a vertical parabola in vertex form is equal to

$y=a(x-h)^2+k$

where

a is a coefficient

(h,k) is the vertex

In this problem

Looking at the graph

The vertex is the point (0,-4)

substitute

$y=a(x-0)^2-4$

$y=ax^2-4$

To determine the value of "a" take a point in the graph

I take the point (3,5)

substitute the value of x and the value of y and solve for a

$5=a(3)^2-4\\9a=5+4\\9a=9\\a=1$

therefore

The equation of the quadratic function is

$y=x^2-4$

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Bad gums may mean a bad heart. Researchers discovered that 79% of people who have suffered a heart attack had periodontal diseas

zysi [14]

Answer:

(A) 0.297

(B) 0.595

Step-by-step explanation:

Let,

H = a person who suffered from a heart attack

G = a person has the periodontal disease.

Given:

P (G|H) = 0.79, P(G|H') = 0.33 and P (H) = 0.15

Compute the probability that a person has the periodontal disease as follows:

$P(G)=P(G|H)P(H)+P(G|H')P(H')\\=P(G|H)P(H)+P(G|H')(1-P(H))\\=(0.79\times0.15)+(0.33\times(1-0.15))\\=0.399$

(A)

The probability that a person had periodontal disease, what is the probability that he or she will have a heart attack is:

$P(H|G)=\frac{P(G|H)P(H)}{P(G)}\\=\frac{0.79\times0.15}{0.399} \\=0.29699\\\approx0.297$

Thus, the probability that a person had periodontal disease, what is the probability that he or she will have a heart attack is 0.297.

(B)

Now if the probability of a person having a heart attack is, P (H) = 0.38.

Compute the probability that a person has the periodontal disease as follows:

$P(G)=P(G|H)P(H)+P(G|H')P(H')\\=P(G|H)P(H)+P(G|H')(1-P(H))\\=(0.79\times0.38)+(0.33\times(1-0.38))\\=0.5048$

Compute the probability of a person having a heart attack given that he or she has the disease:

$P(H|G)=\frac{P(G|H)P(H)}{P(G)}\\=\frac{0.79\times0.38}{0.5048}\\ =0.59469\\\approx0.595$

The probability of a person having a heart attack given that he or she has the disease is 0.595.

4 0

3 years ago

To find the height of a pole, a surveyor moves 150 feet away from the base of the pole and then, with a transit 4 feet tall, mea

ladessa [460]

Answer: The answer is 139 feet

H = height of the pole =?

BC = ED = height of the transit = 4 ft

CD = BE = distance moved away from the base of the pole = 140 ft

Consider the ΔABE

tan44 = AE/BE

tan44 = h/140

h = 140 tan44

h = 135.2 ft

H = height of pole = AE + ED = h + ED = 135.2 + 4

H = 139.2 ft

Step-by-step explanation:

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2 years ago

What is the least common denominator of 1/8 5/12 + 718<br>A) 216<br>B) 108<br>C) 72<br>D) 48

zzz [600]

The answer is 48 i think

6 0

3 years ago

Read 2 more answers

In what table does y vary directly with x?

timurjin [86]

Answer:

The phrase “ y varies directly as x” or “ y is directly proportional to x” means that as x gets bigger, so does y, and as x gets smaller, so does y. That concept can be translated in two ways. for some constant k. The k is called the constant of proportionality. Therefore a chance of probability is a binary table.

Step-by-step explanation:

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2 years ago

The opposite sides of a parallelogram have measures (2x+10) cin and (x+15)

xz_007 [3.2K]

Answer:

The measure of the sides is 20 cm.

Step-by-step explanation:

Opposite side of a parallelogram:

Opposite sides of a parallelogram are congruent, that is, they have the same measure.

Measures (2x+10) cm and (x+15) cm:

This means that:

$2x + 10 = x + 15$

$2x - x = 15 - 10$

$x = 5$

2x + 10 = 2*5 + 10 = 10 + 10 = 20

The measure of the sides is 20 cm.

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3 years ago