The approximate change in the value of the function will be 10. Then the correct option is C.
What is the average rate change of a function?It is the average amount by which the function is modified per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph that represents the function. The average rate of change of the function is given as,
Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]
The function is given below.
f(x) = x² + 4x - 1
The average rate is calculated as,
Average rate = [f(3.1) - f(3)] / [3.1 - 3]
Average rate = [(3.1² + 4(3.1) - 1) - (3² + 4(3) - 1)] / 0.1
Average rate = (21.01 - 20) / (0.10)
Average rate = 1.01 / 0.10
Average rate = 10.1
Average rate ≈ 10
The approximate change in the value of the function will be 10. Then the correct option is C.
More about the average rate change of a function link is given below.
https://brainly.com/question/23715190
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If x = -1, then which of the following inequalities makes a true statement?
A. -4x + 9 > 20
B. -4x – 5 < -15
C. -3x + 15 ≤ 18
D. -5x – 15 ≤ -22
Answer:
It is C
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
simplify if possible 3t+2g-t-3g
Answer:
2t-g
Step-by-step explanation:
Collect like terms
3t-t= 2t
2g-3g= -g
2t-g
A farmer wants to fence in a square pasture for his sheep. The length of one side of the pasture is represented by ^2^3. What term represents the area of the pasture?
Answer:
4x^6
Step-by-step explanation:
Area of the square pasture = L² where:
L is the
length of one side of the pasture
Given
L = 2x³
Area of the pasture = (2x³)²
Area of the pasture =2x³•2x³
Area of the pasture = 4x^{3+3}
Area of the pasture = 4x^6
Hence the area of the pasture is 4x^6
2x+3x+5=x+25 taking a math quiz
Answer: x=5
Step-by-step explanation:
Answer:
Step-by-step explanation:
5x+5=x+25
Or,6x=30
Or,x=5
A collect call costs $5.99 to connect plus 99 cents per minute. What is the cost of a 6 minute call?
Answer:
$11.93
Step-by-step explanation:
You can write an equation to represent this scenario, where x is the number of minutes spent on the call and y is the total cost of the call.
[tex]y=0.99x + 5.99[/tex]
Plug in 6 for x:
[tex]y=0.99(6)+5.99[/tex]
Multiply 6 x 0.99, representing the fact it costs 99 cents per each minute spent on the call:
[tex]y=5.94+5.99[/tex]
Add the sum of the $5.99 cost to connect the call, plus the charge ($5.94) for spending six minutes:
[tex]y=11.93[/tex]
Your answer is $11.93!
Hey guys ( or gals ) I have no idea what to do please help me.
Answer:
Irrational numbers cannot be written as a fraction, or the ratio of two whole numbers.
You would have to find a GCF (greatest common factor) and multiply it out of the radical.
ex.
[tex]\sqrt{6}[/tex] = 2 x 2 x 2
when you have to multiplier numbers then you can combine two of them to take outside the radical, meaning 2x2x2
2[tex]\sqrt{2\\}[/tex]
so [tex]\sqrt{6}[/tex] would be closest to the positive 2 on the number line and 2 notches.
[tex]\sqrt{11}[/tex]
is an irrational number, so it might fall into 3.3 if turned into a decimal.
Step-by-step explanation:
help please need this answer quickly!!
Answer:
m<4 = 83
m<1 = 97
Step-by-step explanation:
bduruhrie
Which number line represents the solutions to \X – 5| = 1?
Answer:
Second number line represents the [X-5]=1.
Step-by-step explanation:
Given : [X-5]=1 .
To find : Which number line represents the solutions to [X-5]=1.
Solution : We have given that [X-5]=1.
We can se the value x-5 is inside the modulus it may be positive or negative.
So, we will do it by both cases.
1) (x - 5) = 1
On adding by 5 both sides.
x = 1+5 = 6
x = 6.
2) if -(x-5) = 1
remove parenthesis
-x +5 = 1
On subtracting by 5 both side
-x = -4
On dividing by -1 both side
x = 4.
So , x = 4, 6.
Therefore , the second number line represents the [X-5]=1.
If the measures of two angles of a triangle are 102° and 27°, what is the measure of the third angle?
The measure of the third angle isº
Step-by-step explanation:
therefore the third angle is 51 degrees
Milo's Ice Cream Factory sold more than 45 waffle cones yesterday. Which of the following inequalities represents the number of waffle cones Milo's Ice Cream Factory sold yesterday?
A.
x 45
D.
x < 46
Answer:
I believe the answer would be x<46
Answer:
I'm fairly sure that it would be D, or the final answer.
Step-by-step explanation:
Since he sold more than 45 waffle cones, x would not equal 45. This is why D is correct. Hope it helps!
Solve for x, using the exterior angle theorem.
Answer:
x=121 degrees
Step-by-step explanation:
The extetior angle theorem states that one exterior angle is equivalent to the sum of the opposite two interior angles. So, we can say that x is the sum of the opposite two interior angles, (53 and 68), and 53+68=121.
Hey guys can one of you help me pls it’s only one small question
Answer: x=6
Step-by-step explanation:
-6x+8=4(5-x)
-6x+8=20-4x
12=2x
x=6
Answer:
-6
Step-by-step explanation:
-6x+8=20-4x
subtract 8 from both sides:
-6x+8-8=20-4x-8
simplifiy:
-6x=-4x+12
Add 4x to both sides:
-6x+4x=-4x+12+4x
simplifiy:
-2x=12
divied both sides by -4:
-2x/-2=12/-2
simplifiy:
x=-6
Someone help with this please
Answer: B
Step-by-step explanation: B is in slope-intercept form
I'm crying I have to get this done in like 30 minutes or else my mom is literally gonna beat my a.ss please
First equation: t=b-4
Second equation: b+t=348
Since t is in terms of b from the first equation, this expression can be substituted into the second equation where t appears. Write an equation that shows this substitution.
Type the equation:
Answer:
equation: b+(b-4)=348
Step-by-step explanation:
B+t=348
b+ 1(b-4)=348
b +b -4=348
this is if u want what b is
2b-4=348
2b-4+4=348+4
2b= 352
2b÷2 = 352÷2
b=176
hello world do you the answer to 888888888x77777777777x99999999x66666x55555x444
Answer:
hello world
Step-by-step explanation:
Answer:
Step-by-step explanation:
1.1368771e+40 this is your answer
Find the formula for the area A and the perimeter P of the shape shown find the area and perimeter when R is 5 cm find R when A is 100cm2 find r when P is 50cm find the value of r that makes A = p numerically
Answer:
1)Area; A = ¼πr²
Perimeter; P = πr/2 + 2r
2)A = 19.63 cm²
P = 17.85 cm
3) r = 8.885 cm
4) r = 14 cm
Step-by-step explanation:
This is a quadrant of a circle. Thus;
Area of a circle is πr². A quadrant is a quarter of a circle. Thus;
Formula for Quadrant Area is; A = ¼πr²
A) Perimeter of a circle is 2πr. Thus, perimeter of a quadrant is a quarter of the full circle perimeter.
Formula for the quadrant perimeter in the image given is;
P = 2πr/4 + 2r
P = πr/2 + 2r
B) When r is 5 cm;
A = ¼π(5)²
A = 19.63 cm²
P = π(5)/2 + 2(5)
P = 17.85 cm
C) when A is 100cm²:
¼πr² = 100
r² = 100 × 4/π
r² = 78.9358
r = √78.9358
r = 8.885 cm
D) when P = 50 cm.
50 = πr/2 + 2r
50 = (½π + 2)r
r = 50/(½π + 2)
r = 14 cm
Solving Inequalities, HELP PLEASE.!!
hjukhvfd816
11/03/2017
Mathematics
Middle School
answered
The Latino Rams at Englewood High school are seeking to raise at least $750 in a fundraiser to pay for their end-of-the year field trip to Islands of adventures.
Answer:
x ≥ $750
Step-by-step explanation:
If 10x +5 = 100, is x greater than 10 or less than 10? Without solving the equation, explain how you
know.
Answer:
Step-by-step explanation:
X is less than 10 because you have the plus in the equation and so it as to be less than ten so that when you multiply it by 10 it equals less than 100. I don’t know if my explanation makes sense but I hope it helps.
What is the x intercept of the line below?
Answer:
i think it is -5
Step-by-step explanation:
-5
The tip for excellent service in a restaurant is $25 for every $100 of the meal. What is the total bill (cost of meal plus tip) for a $75 meal?
A. $25
B. $93.75
C. $125
D. $100
Please hurry, I have to turn this in Today. I’ll be posting more questions on it.
Answer:
24 cm square
Step-by-step explanation:
Formula: ab/2. ( a* b = leg * leg)
6*8/2. (formula)
48/2 (simplify)
24 cm square ( answer)
Accuracy not garunteed
The population of an endangered bird was about 230,000 in 2001. The equation y= 200,000(0.75)^x describes the bird la population, let x represent the number of years since 2001. Using the equation, how many birds will there be in 2021?
Answer:
634
Step-by-step explanation:
The population of the birds in 2001 = 230000
From 2001 to 2021 = 20 years
Given:
y = 200000[tex](0.75)^{x}[/tex]
where x is the number of years since 2001.
The population of the birds after 20 can be determined by;
y = 200000[tex](0.75)^{20}[/tex]
= 200000(3.171211939 x [tex]10^{-3}[/tex])
= 634.2424
y = 634
Thus, there would be 634 endangered birds in 2021.
Simplify: 3x + 4y + 7x - 2y
Answer:
10x+2y
Step-by-step explanation:
combine like terms
Answer:
Step-by-step explanation:
3x + 4y + 7x - 2y=3x + 7x +4y - 2y
10x + 2y
Divide 405 into the ratio of 3:12
HELPPPPPPOPPOPPPPP???
z = 106
y = 74
Since angle 74 and angle y are the same sizes, you can know for a fact they are the same measurments. Next, you would do 74(2) and that would get you 148. 360 - 148 is 212. 212/2 is 106. TADAAAAA. That's the answer.
y = -3x - 5 ||| y = 9x + 7
A. (1,2)
B. (1,-2)
C. (-1,2)
D. (-1,-2)
E. No solution
F. Infinite solutions
PLEASE HELP ITS DUE TODAY
Answer:
d. (-1,-2)
Step-by-step explanation:
-3x-5=9x+7
-5=12x+7
-12=12x
-1=x
y=-3x-5
y=-3(-1)-5
y=3-5
y=-2
What is the length of the missing leg?
Answer:
it all depends on the length of the adjoining leg
Step-by-step explanation:
What is the equation of the line that passes through the point
Answer:
The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
Which statements are true about the function f(x) = –|x| – 2? Check all that apply.
The parent function and this function open in the same direction.
The parent function and this function have the same range.
The parent function and this function have the same domain.
The range of the function is all real numbers less than or equal to –2.
The domain of the function is all real numbers greater than or equal to –2.
There are no values from the domain of the parent function that are also in the domain of this function.
Answer:
a c d f
Step-by-step explanation:
Answer:
its (c) and (d)
Step-by-step explanation:
John's bank account had $1,320 at the end of November. In December, he bought $645 worth of
groceries and spent $225 on his mom's birthday present. Luckily, he earned $350 mowing lawns and $50
for good grades. How much money does John have at the end of December?
Answer:
850 but im not sure lol
Step-by-step explanation:
645 + 225 = 870
1,320 - 870 = 450
450 + 350 = 800
800 + 50 = 850