Let e f (x) = x2 – 2x - 4 What is the average rate of change for the quadratic function from X = -1 tox to x = 42 Enter your answer in the box.
Answers
Answer:
The average rate of change of the given function
A(x) = 1
Step-by-step explanation:
Step(i):-
Given function f(x) = x² - 2x -4
And given that x = a = -1 and x=b = 4
The average rate of change of the given function
[tex]A(x) = \frac{f(b)-f(a)}{b-a}[/tex]
Step(ii):-
f(x) = x² - 2x -4
f(-1) = (-1)² - 2(-1) -4 = 1+2-4 = -1
f(4) = 4² -2(4) -4 = 16 -12 = 4
The average rate of change of the given function
[tex]A(x) = \frac{f(b)-f(a)}{b-a}[/tex]
[tex]A(x) = \frac{4-(-1)}{4-(-1)} = \frac{5}{5} = 1[/tex]
final answer:-
The average rate of change of the given function
A(x) = 1
Answer:
A(x) = 1
Step-by-step explanation:
[tex]f(-1) = (-1)^{2} -2(-1)-4 == -1\\f(4) = (4)^{2} -2(4)-4 == 4[/tex]
When we plug this into the formula for rate of change we end up with...
[tex]\frac{f(4)-f(-1)}{4-(-1)} \\= \frac{4-(-1)}{4+1} \\= \frac{5}{5}\\= 1[/tex]
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Bella can buy locally grown organic peppers for $1.25 per pound. Suppose p.. represents the number of pounds of peppers Bella buys and c represents the cost in dollars. Which equation represents the relationship between pounds and cost?
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if a paper airplane traveled 20 feet per second how many inches per second did it travel ?
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Click on the correct graph to match the given combinations.
f(x) = 2x, and g(x) = x + 1; graph f + g.
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Answer:
The guys above is correct
Step-by-step explanation:
A rotating lawn is sprinkler sprays water in a circular area of grass, as shown in the picture. The diameter of the circle area of grass is 16 ft. Which measurement is the closest to the area in square feet that this sprinkler sprays with water?
Answers
Answer:
201.06 square feet.
Step-by-step explanation:
=> The diameter of a circle is equal twice its radius. So we divide the diameter by 2 to get its radius.
=> The area of any given circle is π times the square of the radius. The radius of this circle is equal to 8 feet.
=> Area of the circle = π × r² = 3.1415 × 8 feet = 201.056 square feet
Question 3
What is the slope of a line that passes through the points (-5,2) & (11, -16)
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Answer:m=-9/8
Step-by-step explanation:
use what you know about zeros of a function and end behavior of a graph to choose the graph that matches the function f(x)=(x+3)(x+2)(x-1)
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Answer:
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I’m not really sure how to work this out can someone plssss help me
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Answer:
Perimeter of the rectangle=Perimeter of the trapezium
2{(3x+4)+(4x)}=2(5x)+(x-3)+(7x-3)
→2(7x+4)=10x+x-3+7x-3
→14x+8=18x-6
→4x=14
→x=7/2
→x=3.5
The value of x is 3.5 cm
Find the area of a circle with a radius of 8.6cm. Round to the nearest hundredth.
54.08cm.2
232.23cm.2
58.06cm.2
27.04cm.2
Answers
Answer:
c
Step-by-step explanation:since i helped can i have brainlist please :D
(5n x 9) x 2n simplify the expression
I NEED THE ANSWER ASAP please and thank you :)
PLESE I REALLY NEED THE ANSWER
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Answer:
5n x 9 = 45n
2n x 45n = 90n^2
um i dnt understand maybe u can help me....
Answers
Write the equation for the vertical line passing through the point (8, 3).
Answers
Answer:
x=8
Step-by-step explanation:
If it's a vertical line that means it's "sticking straight up" in a sense, so your line would go through all values of 8.
Answer:
x = 8 is the equatoin
Find the equation of the line.
Use exact number .
Y =____x+____
Answers
the y-intercept is 5 and the slope is -1/3
Find the percent of change and describe it as an increase or decrease. If necessary, round to the nearest tenth.
12 in. to 15 in.
A.
80% increase
B.
25% increase
C.
25% decrease
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Which expression is equivalent to StartFraction m minus 4 Over m + 4 EndFraction divided by (m + 2) ?
Answers
The expression [tex]\dfrac{\dfrac{m-4}{m+4}}{m+2}[/tex] is equivalent to [tex]\dfrac{m-4}{(m+4)(m+2)}[/tex]. The correct option is B.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression is [tex]\dfrac{\dfrac{m-4}{m+4}}{m+2}[/tex]. Simplify the expression.
Use the fraction property.
[tex]\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}{=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]
Simplify the below expression.
[tex]\dfrac{\dfrac{m-4}{m+4}}{m+2}{=\dfrac{m-4}{(m+4)(m+2)}[/tex]
Therefore, the expression [tex]\dfrac{\dfrac{m-4}{m+4}}{m+2}[/tex] is equivalent to [tex]\dfrac{m-4}{(m+4)(m+2)}[/tex].
The complete options are given below:-
StartFraction m minus 4 Over (m + 4) (m + 2) EndFraction
StartFraction (m + 4) (m + 2) Over m minus 4 EndFraction
StartFraction (m minus 4) (m + 2) Over m + 4 EndFraction
StartFraction m + 4 Over (m minus 4) (m + 2) EndFraction
To know more about Expression follow
https://brainly.com/question/723406
#SPJ5
please help. What is the range of f(x)=20x+4
Answers
Answer:
(−∞,∞)
Step-by-step explanation:
THe range is Infinity
how do you do 1500 x 3/4
Answers
Answer:
1500 x 0.75
1125
Step-by-step explanation:
Please give me brainliest
Onny wants to buy a guitar that costs $600. He makes $2 per day. How many days will it take Onny to save enough money to buy the guitar?
Answers
Answer:
300 days
Step-by-step explanation:
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50 POINTS PLEASE HELP
1.
Solve the triangle.
A = 33°, a = 20, b = 13 (1 point)
Cannot be solved
B = 20.7°, C = 146.3°, c ≈ 23.7
B = 20.7°, C = 126.3°, c ≈ 17.8
B = 20.7°, C = 126.3°, c ≈ 29.6
Answers
Answer:
B
Step-by-step explanation:
I can't understand your question
In the aquarium, the ratio of guppies to angelfish is 4:7. If there are 121 fish in the tank, how many are guppies?
Answers
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Answer:
C 20.2
Step-by-step explanation:
6x5-(2.5²π÷2)=30-3.125π
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Answer:
x=1
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Step-by-step explanation:
Multiply the second equation by 2
and then solve!
Answer:
1 and 2
Step-by-step explanation:
4x+4y=12...eqn1^st
2x+y=4....eqn2^nd×2
multiplying eqn2^nd by 2 and subtract then,
4x+4y=12
-4x-2y=-8
or, 2y=4
or, y=4/2
y=2
again ,
from eqn2^nd
we have,
2x+y=4
or, 2x+2=4
or, 2x=4-2
or, 2x=2
or,x=2/2
x=1
An investment of 11,000 is made into an account that earns 4.25% annual compound interest for 30 months. Assuming no other deposits or withdrawal are made, what is the total value of the account after 30 months?
A: $12,206.27
B: $13,412.54
C: 11,000
D: 1,206.27
Answers
Answer:
It should be $12168.75
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4.25%/100 = 0.0425 per year,
then, solving our equation
I = 11000 × 0.0425 × 2.5 = 1168.75
I = $ 1,168.75
The simple interest accumulated
on a principal of $ 11,000.00
at a rate of 4.25% per year
for 2.5 years is $ 1,168.75.
1,168.75 + 11000 = 12168.75
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Answer:35
Step-by-step explanation:
No solution to a system of equations means
A.the lines are the same
B. the lines are perpendicular
C. the lines cross at exactly one point
D. the lines are parallel
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Answer:
D. the lines are parallel
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Answers
Answer:
A. 49.79 = 1.19 + 0.25t
Step-by-step explanation:
One-time entrance fee to be paid by Haley as initial fee = $1.19
Going through the fun house each time would attract an additional fee of $0.25 each time they go through the fun house.
If Haley has $49.79, the number of times (t) Haley can go through can be expressed as:
Total amount Haley has = initial fee/entrance fee + additional fee per each time Haley goes through the fun house
The equation would be:
49.79 = 1.19 + 0.25t
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d
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Give your answer rounded to 2 DP
Answers
Answer:
Step-by-step explanation:
c = 2 pr r
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Ivy took a bus to Seattle to visit her best friend. The bus traveled 660
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Please hurry
Answers
Answer:
220
Step-by-step explanation:
660÷12=55 miles per hour
4×55=220
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Answers
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um Chile anyways so- HELP MEHHHH
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Answer:
1 ft
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Answer:
1
Step-by-step explanation:
In this graph, the y values represent the number of feet away from his desk and the x values are the minutes that have passed. So to find where he was, to begin with, we must find where x equals 0 because that will shows when 0 minutes have passed. When x is 0 y is 1, therefore he was one foot away, to begin with; this is also the y-intercept.
