All categories

2 years ago

A local maximum of the function f(x) occurs for which x-value?

Mathematics

1 answer:

My name is Ann [436]2 years ago

3 0

Answer:

-4

Step-by-step explanation:

the highest f(x) value on the table is at -4 on the x column

You might be interested in

f(x) is a quadratic function with x-intercepts at (−1, 0) and (−3, 0). If the range of f(x) is [−4, [infinity]) and g(x) = 2x^2

iren2701 [21]

Answer with Step-by-step explanation:

We are given that function f(x) which is quadratic function.

x -intercept of function f(x) at (-1,0) and (-3,0)

x-Intercept of f means zeroes of f

x=-1 and x=-3

Range of f =[-4, $\infty$ )

g(x)= $2x^2+8x+6=2(x^2+4x+3)$

$g(x)=0$

$2(x^2+4x+3)=0$

$x^2+4x+3=0$

$x^2+3x+x+3=0$

$x(x+3)+1(x+3)=0$

$(x+1)(x+3)=0$

$x+1=0\implies x=-1$

$x+3=0\implies x=-3$

Therefore, x-intercept of g(x) at (-1,0) and (-3,0).

Substitute x=-2

$g(-2)=2(-2)^2+8(-2)+6=8-16+6=-2$

$g(x)=2(x^2+4x)+6$

$g(x)=2(x^2+2\times x\times 2+4-4)+6=2(x^2+2\times x\times 2+4)-8+6$

$g(x)=2(x+2)^2-2$

By comparing with the equation of parabola

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

Where vertex=(h,k)

We get vertex of g(x)=(-2,-2)

Range of g(x)=[-2, $\infty$ )

Zeroes of f and g are same .

But range of f and g are different.

Range of f contains -3 and -4 but range of g does not contain -3 and -4.

f and g are both quadratic functions.

3 0

3 years ago

The question with the distributive property

kondor19780726 [428]

6(a+2b+3c)

=(6)(a)+(6)(2b)+(6)(3c)

=6a+12b+18c

Hope this helps

7 0

3 years ago

Kim deposited $1,422 into a savings account. After 5 years, she had a total of $1,635.30 in her account. What is the interest ra

elena-14-01-66 [18.8K]

Answer:

1.3%

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️I need help ASAP 30 points and brainliest to correct answer and most helpful. Please elaborate and explain y

Strike441 [17]

1. Suppose that a family has an equally likely chance of having a cat or a dog. If they have two pets, they could have 1 dog and 1 cat, they could have 2 dogs, or they could have 2 cats.

What is the theoretical probability that the family has two dogs or two cats?

25% chance

2. Describe how to use two coins to simulate which two pets the family has.

You could use the coins to simulate which pet the family has by flipping them and having head be dog and tails be cat (or vice-versa).

3. Flip both coins 50 times and record your data in a table like the one below.

Based on your data, what is the experimental probability that the family has two dogs or two cats?

Based on the results, I concluded that for Heads, Heads (which could be dogs or cats) there was a 24% chance and for Tails, Tails there was a 26% chance

4. If the family has three pets, what is the theoretical probability that they have three dogs or three cats?

1/8 chance (accidentally messed up there) or 12.5%

5. How could you change the simulation to generate data for three pets?

To flip 3 coins and add more spots on the chart.

I hope that this helps because it took a while to write out. If it does, please rate as Brainliest

5 0

3 years ago

Read 2 more answers

ILL MARK BRAINLIESTTTTT

zaharov [31]

Answer:

0.075 inches per year

Step-by-step explanation:

The average rate of change is measured as

( difference in diameter ) ÷ ( difference in years )

= ( 251 - 248 ) ÷ ( 2005 - 1965 )

= 3 inches ÷ 40 years

= 0.075 inches per year

7 0

3 years ago