Mathematics : asked on itsmichaelhere1

02.07.2021

F(-4); f(x) = x2 + x - 4

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24.06.2023, solved by verified expert

Bhaskar Singh Bora

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Step-by-step explanation: In this problem,

we're asked to find f(-4) or the value of the function when x = -4.

To find the value of the function when x = -4,we simply plug in a -4 for

the x in our function and we have (-4)² + (-4) - 4 or 16 + -4 - 4 which is 8.

So f(-4) = 8.

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Mathematics

F(-4); f(x) = x2 + x - 4

Step-by-step answer

P Answered by PhD

1

8

Step-by-step explanation: In this problem,

we're asked to find f(-4) or the value of the function when x = -4.

To find the value of the function when x = -4,we simply plug in a -4 for

the x in our function and we have (-4)² + (-4) - 4 or 16 + -4 - 4 which is 8.

So f(-4) = 8.

Mathematics

The rate in which a function increases or decreases between its points are called the slope, or the rate of change. for any function, the rate of change is calculated by the slope formula. slope formula: where m = slope (a, f(a)) and (b, f(b)) are two points on the function. here is an example: for the function, f(x) = 2x - 1, calculate the rate of change between the points, (-1, f(-1)) and (4, f( let(-1,f(-1))=(a,f(a)) and (4,f(4))=(b,f( use the given functin, f(x)=2x-1, to complete the points. for (-1, f(-1): for (4,f(4)) f(x)=2x-1 f(x)=2x-1

Step-by-step answer

P Answered by PhD

5

I'll focus on one example: f(x)=x^2: (-2,f(-2)) and (0,f(0)) 4)

Find the average rate of change of f(x) = x^2 from x = -2 to x = 0:
f(0) - f(-2) (0)^2 - (-2)^2) 0-4
arc = = = = -2 (answer)
0-(-2) 2 2

Mathematics

The rate in which a function increases or decreases between its points are called the slope, or the rate of change. for any function, the rate of change is calculated by the slope formula. slope formula: where m = slope (a, f(a)) and (b, f(b)) are two points on the function. here is an example: for the function, f(x) = 2x - 1, calculate the rate of change between the points, (-1, f(-1)) and (4, f( let(-1,f(-1))=(a,f(a)) and (4,f(4))=(b,f( use the given functin, f(x)=2x-1, to complete the points. for (-1, f(-1): for (4,f(4)) f(x)=2x-1 f(x)=2x-1

Step-by-step answer

P Answered by PhD

5

I'll focus on one example: f(x)=x^2: (-2,f(-2)) and (0,f(0)) 4)

Find the average rate of change of f(x) = x^2 from x = -2 to x = 0:
f(0) - f(-2) (0)^2 - (-2)^2) 0-4
arc = = = = -2 (answer)
0-(-2) 2 2

Mathematics

For each function, use the slope formula to calculate the rate of change between the points. in your final answer, include all of your calculations. f(x): (a, f(a) and (b,f(b) 1.) f(x)=x - 3 (0,f(0)) and (6,f(6)) 2.) f(x) = -x (-4,f(-4)) and(2,f(2)) 3.) f(x)=x2 (-2,f(-2)) and (0,f(0)) 4.) f(x)=x3 (-1,f(-1)) and (1,f(1)) 5.) f(x)=2x (0,f(0)) and (4,f(4))

Step-by-step answer

P Answered by PhD

13

Function 1:

f(x) = x - 3
f(0) = 0 - 3 = -3
f(6) = 6 - 3 = 3

Slope = $\frac{-3-3}{6-0} = \frac{-6}{6} =-1$

Function 2:

f(x) = -x
f(-4) = 4
f(2) = -2

Slope = $\frac{4--2}{-4-2}= \frac{6}{-6}=-1$

Function 3:

f(x) = x²
f(-2) = (-2)² = 4
f(0) = (0)² = 0

Slope = $\frac{4-0}{-2-0}= \frac{4}{-2}=-2$

Function 4:

f(x) = x³
f(-1) = (-1)³ = -1
f(1) = (1)³ = 1

Slope = $\frac{-1-1}{-1-1}= \frac{-2}{-2}=1$

Function 5:

f(x) = 2ˣ
f(0) = 2⁰ = 1
f(4) = 2⁴ = 16

Slope = $\frac{1-16}{0-4}= \frac{-15}{-4}=3.75$

Mathematics

For each function, use the slope formula to calculate the rate of change between the points. in your final answer, include all of your calculations. f(x): (a, f(a) and (b,f(b) 1.) f(x)=x - 3 (0,f(0)) and (6,f(6)) 2.) f(x) = -x (-4,f(-4)) and(2,f(2)) 3.) f(x)=x2 (-2,f(-2)) and (0,f(0)) 4.) f(x)=x3 (-1,f(-1)) and (1,f(1)) 5.) f(x)=2x (0,f(0)) and (4,f(4))

Step-by-step answer

P Answered by PhD

13

Function 1:

f(x) = x - 3
f(0) = 0 - 3 = -3
f(6) = 6 - 3 = 3

Slope = $\frac{-3-3}{6-0} = \frac{-6}{6} =-1$

Function 2:

f(x) = -x
f(-4) = 4
f(2) = -2

Slope = $\frac{4--2}{-4-2}= \frac{6}{-6}=-1$

Function 3:

f(x) = x²
f(-2) = (-2)² = 4
f(0) = (0)² = 0

Slope = $\frac{4-0}{-2-0}= \frac{4}{-2}=-2$

Function 4:

f(x) = x³
f(-1) = (-1)³ = -1
f(1) = (1)³ = 1

Slope = $\frac{-1-1}{-1-1}= \frac{-2}{-2}=1$

Function 5:

f(x) = 2ˣ
f(0) = 2⁰ = 1
f(4) = 2⁴ = 16

Slope = $\frac{1-16}{0-4}= \frac{-15}{-4}=3.75$

Mathematics

Neil places £2000 in a bank account that pays 1.5% simple interest per year. How much interest will he earn in 6 years?

Step-by-step answer

P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics

The last time Robert filled up his car with gas, he paid $24.50 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?

Step-by-step answer

P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics

An ice cream shop offers 5 different flavors of ice cream and 9 different toppings. How many choices are possible for a single serving of ice cream with one topping?

Step-by-step answer

P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45

Mathematics

An online media service offers video and music downloads. Each download of a song costs $1. Each download of a video costs 5 times as much as the song download. You have a credit of $70. How many songs can you purchase after buying 12 videos?

Step-by-step answer

P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

The value of a collectible coin can be represented by the equation y = 2 x + 15, where x represents its age in years and y represents its total value in dollars. What is the value of the coin after 19 years? $2 $23 $38 $53

Step-by-step answer

P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

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