Which statements describe the graph of y = 4x2 + 28x + 49? Check all that apply. The graph has two x-intercepts because 4x2 + 28x + 49 has two different factors. The equation 2x + 7 = 0 can be used to find a zero of the function. The equation (2x – 7)2 = 0 can be used to find the y-intercept. The graph has a double root at x = StartFraction negative 7 Over 2 EndFraction. The graph intersects the y-axis at y = 49.

Answers

Answer 1
Answer:

Answer:

b,d, and ,e

Step-by-step explanation:

on edge ;)

Answer 2
Answer:

Answer:

The equation 2x+7=0 can be used to find a zero of the function. The graph intersects the y-axis at 49

Step-by-step explanation:

The other statements are not correct because since (2x+7)^2 gives the polynomial function y=4x^2 +28x + 49, there are "two" answers, but it is the sa,e answer of -7/2. The graph also does not have a double root at -7/2, that is the x-intercept


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$3450 is invested into an account earning 2.27% interest for 5 years. Compounded monthly.

Answers

$3,536.65 I believe

You are wanting to simulate tossing a coin 20 times to determine the probability of getting tails. Starting with the first row, you use the list of random numbers shown to do so, letting 0-4 represent heads and 5-9 represent tails. What is the probability the coin lands on tails?

Answers

When you flip a fair coin, there is always a 50% chance of heads, and a 50% chance of tails. Not sure the rest of info is relevant here

Final answer:

Simulated coin tossing uses random numbers, where 0-4 and 5-9 represent heads and tails respectively. The theoretical probability of getting tails is 0.5, but empirical probabilities can differ. This discrepancy, assumed to reduce with more trials, is accounted for by the Law of Large Numbers.

Explanation:

In the context of the provided problem, you are attempting to simulate tossing a coin 20 times using a system of random numbers, where you've assigned 0-4 to represent heads and 5-9 to represent tails. Theoretically, in a fair coin toss, there's a 50% chance (0.5 probability) of getting either heads or tails.

However, experimental or empirical probability may not always align with this theoretical likelihood, especially in smaller samples. This discrepancy is due to randomness and doesn't necessarily imply the coin or system is biased. Over many trials, the relative frequency of getting tails should approach the theoretical probability, according to the law of large numbers.

To calculate the empirical probability of getting tails in your simulation, you would tally up the total number of 'tails' results (numbers 5-9) from your 20 trials, then divide that count by the total number of trials (20). So, if you get 12 'tails' results, your empirical probability would be 12/20 = 0.6.

Learn more about probability here:

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Which could be the length?

Answers

Answer:

The possible length of the third side = 1 ft, 2 ft, 3 ft, 4 ft, 5 ft, 6 ft, 7 ft, 8 ft, 9 ft, 10 ft or 11 ft

Step-by-step explanation:

Given;

two side of the triangle, 6 ft and 6 ft

let the third side of the triangle = x

Apply the rules of length of a triangle to determine the third side of the triangle.

Based on this rule:  (6 - 6)  < x < (6 + 6)

                                    0 < x < 12 ft

Therefore, the length of the third side will be greater than 0 but less than 12 ft

The possible length of the third side = 1 ft, 2 ft, 3 ft, 4 ft, 5 ft, 6 ft, 7 ft, 8 ft, 9 ft, 10 ft or 11 ft

Choose the correct product of (9x − 5)(9x + 5).81x2 + 90x + 25
81x2 − 25
81x2 + 25
81x2 − 90x + 25

Answers

Hi,
(a+b)(a-b=a²-b²
Thus (9x)²-5²=81x²-25

Answer:

The Answer is B

Step-by-step explanation:

(9x−5)(9x+5)

=(9x+−5)(9x+5)

=(9x)(9x)+(9x)(5)+(−5)(9x)+(−5)(5)

=81x2+45x−45x−25

=81x2−25    

Hannah has a credit card with an APR of 11.90% and a billing cycle of 30 days. The following table shows Hannah’s transactions in the month of April. Date Amount ($) Transaction
4/1 322.95 Beginning balance
4/10 19.87 Purchase
4/14 50.00 Payment
4/19 71.21 Purchase

If Hannah’s credit card company calculates finance charges using the daily balance method, what will her April finance charge be?
a. $2.71
b. $3.20
c. $3.30
d. $3.61

Answers

Answer:

c.  $3.30  is correct

Answer:

C. 3.30 is 100% correct

Step-by-step explanation:

Let f(x) = 9x − 2 and g(x) = −x + 3. Find f(g(x)).

Answers

f(x) = 9x - 2
g(x) = -x + 3

f(g(x)) = 9(-x + 3) - 2
f(g(x)) = 9(-x) + 9(3) - 2
f(g(x)) = -9x + 27 - 2
f(g(x)) = -9x + 25
f(g(x))=9(-x+3)-2
So: f(g(x)=-9x+27-2=-9x+25