Gayle bought 3.4 yards of fabric that cost $4.75 per yard. What was her total cost?

What do you know about a quadratic equation that has the following points (2, 0) and (10, 0)?

Agata [3.3K]

Answer:

C. The x-coordinate of the vertex must be 6

Step-by-step explanation:

The parabola intercepts the x-axis when y = 0.

Therefore, if the quadratic equation has the points (2, 0) and (10, 0) then the x-intercepts or "zeros" are x = 2 and x = 10.

The x-coordinate of the vertex is the midpoint of the zeros.

$\sf \implies midpoint=\dfrac{2+10}{2}=6$

Therefore, the solution is option C.

<u>Additional Information</u>

The leading coefficient of a quadratic tells us if the parabola opens upwards or downwards:

Positive leading coefficient = parabola opens upwards
Negative leading coefficient = parabola opens downwards

We have not been given this information and so therefore cannot determine the way in which it opens.

As we do not know the way in which way the parabola opens, we cannot determine if the parabola will have a negative or positive y-intercept.

We have not been given the full quadratic equation, and so we cannot determine if the parabola is wider (or narrower) than the parent function.

3 0

3 years ago

Read 2 more answers

A family has j children with probability pj , where p1 = .1, p2 = .25, p3 = .35, p4 = .3. A child from this family is randomly c

aliya0001 [1]

Answer:

A) the conditional probability that the has only 1 child = 0.24

B) The conditional probability that the family has only 4 children = 0.18

Step-by-step explanation:

To answer the questions, we first start with defining each event. Let E be the event that the child selected is the oldest and let Fj be the event that the family has j children.

From this, we can deduce that the probability that the child is the oldest, given that there is j children is ; P(E | Fj ) = 1/j.

In addition, we know P(Fj ) = pj as given in the problem. In answering the 2 questions, we seek the probability P(Fj | E). Thus, by the Bayes’s formula;

P(Fj | E) = P(EFj )/P(E) which gives;

P(Fj | E) = {P(E | Fj )P(Fj )} / {Σ(4,i=1)P(E | Fj )P(Fj )}

= (1/j)/ Σ(4,i=1)(1/j)pj

= ((pj)/j) / {p1 + (p2)/2 + (p3)/3 +(p4)/4}

Therefore, the conditional probability that the family has only 1 child; P(F1 | E) = p1 / {p1 + (p2)/2 + (p3)/3 +(p4)/4} = 0.1/ (0.1 + (0.25/2) +(0.35/3) + (0.3/4) = 0.1/0.4167 = 0.24

The conditional probability that the family has only 4 children =

{(p4)/4} / {p1 + (p2)/2 + (p3)/3 +(p4)/4} = (0.3/4)/ (0.1 + (0.25/2) +(0.35/3) + (0.3/4) = 0.075/0.4167 = 0.18

6 0

4 years ago

Algebra 2!exponential growth rate of 7%?

bixtya [17]

Answer:

A = 325(1.07)^1

Step-by-step explanation:

first one shows an increase of 70%

second one shows a decrease of 7%

Last shows a decrease of 93%

6 0

3 years ago

PH is given by the formula pH = -log [H+]

Lunna [17]

Answer:

Maura's
4 times

Step-by-step explanation:

The logarithm function is monotonic with a positive slope everywhere. So, the logs of numbers are in the same order as the numbers themselves. pH is the negative of the logarithm, so the pH values are in the reverse order of the numbers themselves.

Maura's pool has a lower pH, so will have a higher concentration of hydrogen ions.

The log of a ratio is the difference of the logs. Here, the difference of the logs is 7.8 -7.2 = 0.6, so the ratio of H+ concentrations in the two pools is ...

10^0.6 ≈ 4.0

Maura's pool has 4× the H+ concentration of Bill's pool.

8 0

3 years ago

A conditional statement and it's_______ must always have the same truth value.

Romashka [77]

Answer: C) Contrapositive

The original conditional is in the form "If P, then Q"
The contrapositive is in the form "If not Q, then not P"
You flip the order of P and Q, and you also negate each piece. The original conditional and contrapositive can be proven to have the same truth values through the use of a truth table.

5 0

3 years ago