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Advocard [28]
2 years ago
9

Use the graph of the quadratic function, g(x), to answer each question.

Mathematics
1 answer:
igor_vitrenko [27]2 years ago
5 0
Given the graph of the function, where the vertex is the maximum point at (-5,4):

We can establish the quadratic function in vertex form:

g(x) = -(x + 5)^2 + 4

To find the value of g(-1):

Substitute -1 as the input of the function:

g(-1) = -(x + 5)^2 + 4

g(-1) = -(-1 + 5)^2 + 4

g(-1) = -(4)^2 + 4

g(-1) = -12



To find the value of g(-3):

Substitute -3 as the input of the function:

g(-3) = -(x + 5)^2 + 4

g(-3) = -(-3+ 5)^2 + 4

g(-3) = 0


To find the value of x when g(x) = 4:
Since your vertex is (-5, 4), in which the y-coordinate is 4, then its x-coordinate is -5.

Therefore, the value of x when g(x) = 4 is -5.

Please mark my answers as the Brainliest if you find my explanations helpful :)
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8÷2(2+2)=? I came up with an answer, but others have come up with different answers based on way we were taught. Would like your
shtirl [24]

Answer:

16

Step-by-step explanation:

Okey dokey my dude, here's the deal. All you have to do to answer this is use order of operations (parentheses exponents multiplication division addition subtraction).

8÷2(<u>2+2</u>)=?

//parenthesis first

8÷2(4)

//Ok here's where people will mess up. They just look at the problem and assume that you should multiply the 2 and (4) first because the 4 is in parenthesis. That's understandable, but wrong. What the equation should really look like is 8÷2·4. So you should do 8÷2 first.

<u>8÷2</u>·4=?

4·4=?

<u>16=16</u>

4 0
3 years ago
How do you do 4,686 divided by 2 using long division
Mama L [17]

Answer:

divide 2 into each digit of the larger number

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Need help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Pepsi [2]

Answer:

2 is 15

3 is 13

5 is 6.25

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7 0
2 years ago
Based on a​ survey, when 1009 consumers were asked if they are comfortable with drones delivering their​ purchases, 42% said yes
Darina [25.2K]

Answer:

B.The probability 0+ indicates that the probability is a very small positive value. It indicates that the event is​ possible, but very unlikely.

Step-by-step explanation:

Out of 1009 consumers a sample of 30 consumers is selected and asked the questions. So, the sample size is 30.

n = 30

Based on previous survey, 42% are comfortable with the drone. So in this sample, we can consider the probability of success to be 42%.

p = 42% = 0.42

q = 1 - p = 1 - 0.42 = 0.58

We want to find the probability of getting exactly 24 consumers who are comfortable with drones.

x = 24

Since, the sample size is fixed, the selections are independent and probability of success is constant, we can use the Binomial Probability to answer this problem. All the conditions of a Binomial Distribution are being satisfied.

According to the formula of Binomial Distribution, the probability of getting exactly x success among n trials is given as:

P( X = x )=^{n}C_{x}(p)^{x}(q)^{n-x}

Using the values, we get:

P(X = 24) =^{30}C_{24}(0.42)^{24}(0.58)^{6}= 0.00002

Thus, the probability of getting exactly 24 consumers from a sample of 30 who are comfortable with drones is 0.00002, which is extremely small.

Since, the value of probability is a very small positive number, it indicates that event is possible but very unlikely. An impossible event has probability equal to 0.

Therefore, option B gives the correct answer.

6 0
3 years ago
Which represents where f(x) = g(x)? A) f(4) = g(4) and f(0) = g(0) B) f(–4) = g(–4) and f(0) = g(0) C) f(–4) = g(–2) and f(4) =
saul85 [17]

Answer:

B. f(-4) = g(-4), and f(0) = g(0)

Step-by-step explanation:

We are given two functions that have been graphed already. The points on the coordinate plane  where the  curve of g(x) intercepts that of f(x), are the values of x for each function, that would give us the same output (y).

Thus, for f(x) intercepts g(x) at the point where x = -4, y = 4.

Also, f(x) and g(x) intercepts at the point where x = 0, y = 4.

Therefore, the correct answer is f(-4) = g(-4), and f(0) = g(0)

6 0
3 years ago
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