Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=\frac{3x+2}{2x-1}[/tex]
at x₁ = a,
[tex]f\left(x_1\right)=f\left(a\right)=\frac{3a+2}{2a-1}[/tex]
at x₂ = a+h,
[tex]f\left(x_2\right)=f\left(a+h\right)=\frac{3\left(a+h\right)+2}{2\left(a+h\right)-1}[/tex]
Using the formula to determine the average rate of change
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
[tex]=\:\frac{\frac{3\left(a+h\right)+2}{2\left(a+h\right)-1}-\frac{3a+2}{2a-1}}{a+h-a}\:\:\:\:\:\:\:[/tex]
as a+h-a = h, so
[tex]=\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}[/tex]
Thus, the everarge rate of chnage: [tex]\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}[/tex]
We can further simplify such as:
[tex]=\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}[/tex]
[tex]=\frac{-\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}}{h}[/tex]
[tex]=-\frac{\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}}{h}[/tex]
[tex]=-\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)h}[/tex]
Cancel the common factor h
[tex]=-\frac{7}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}[/tex]
need help plzzzzzxsss
Use equivlant ratios 7/= 21/27
Answer:
7/9 = 21/27 hope this helps
Step-by-step explanation:
If 1,200 students participated in the survey, how many rated the cafeteria food “poor”?
200 students
300 students
400 students
600 students
Answer:
The answer is 300
Answer:
300 students
Step-by-step explanation:
hope this helps!
Write in lowest terms:
4rs2/(6s)
Answer:
2rs/3
Step-by-step explanation:
Two angles are complementary if their sum is 90o. If one angles measure is xo and the other angle is (2x – 3)o find the measure of each angle.
deb Found 56 tulips for $8. Please help Deb figures out the ratio
Answer: 7:1
To find the unit rate or unit ratio, divide 56 by 8.
56/8 = 7.
So, per 7 tulips it costs 1 dollar, or $1.
So the ratio, 7:1 represents this problem.
Write an equation for line L in point-slope form and slope-intercept form.
L is perpendicular to y=4x.
Answer:
[tex]y = -\frac{1}{4}x + c[/tex] --- Slope intercept
[tex]y - y_1 = -\frac{1}{4}(x - x_1)[/tex] --- Point slope
Step-by-step explanation:
Given
Perpendicular to [tex]y = 4x[/tex]
Required
Determine its equation
The general form of an equation is:
[tex]y = mx + c[/tex]
Where
[tex]m = slope[/tex]
By comparison:
[tex]m = 4[/tex]
Next, we calculate the slope of L.
Because L is perpendicular to [tex]y = 4x[/tex], the relationship between their slopes is:
[tex]m_2 = -\frac{1}{m}[/tex]
Substitute 4 for m
[tex]m_2 = -\frac{1}{4}[/tex]
The equation of L in slope intercept form is: [tex]y = mx + c[/tex]
Substitute -1/4 for m
[tex]y = -\frac{1}{4}x + c[/tex]
In point slope form, we have:
[tex]y - y_1 = m(x - x_1)[/tex]
Substitute -1/4 for m
[tex]y - y_1 = -\frac{1}{4}(x - x_1)[/tex]
Answer:
y-4=-1/4(x-1)
y=-1/4x+17/4
Step-by-step explanation:
Dj Jacqueline is making a playlist for a friend: she is trying to decide what 15 songs to play and in what order they should be played. If she has her choices narrowed down to 10 pop. 25 reggae, and 10 blues songs, and she wants to play an equal number of pop. reggae, and blues songs, how many different playlists are possible? Express your answer in scientific notation rounding to the hundredths place
Answer:
4.4 * 10^21
Step-by-step explanation:
Given :
Number of pop, n(p) = 10
Number of reggae, n(r) = 25
Number of blues, n(b) = 10
Total number of songs to select (n) = 15
If she wants equal Number if the 3 genres
Each genre will have : 15/3 = 5 songs each
Hence,
(10C5 * 25C5 * 10C5) * n!
Combination formula :
pCr = p! / (p-r)! r!
Using calculator to save computation time :
(10C5 * 25C5 * 10C5) * n!
(252 * 53130 * 252) * 15!
= 4412050844368527360000
= 4.4 * 10^21
please help me i cant under stand this
Answer:
Plot the same points that are on the table
Step-by-step explanation:
when given a table you are also given ordered pairs , so for example , the first pair on the table is (1,3) so plot that as your first point , then your second is (2,6) and so on . write these on the blank spaces aswell ! hope this helps :))))
If BD bisects ∠ABC, find each value
Answer:
x=14
y=10
AD=19
CD=19
Step-by-step explanation:
x:
5x-6=64
+6 +6
5x=70
x=14
y:
3y-11=y+9
+11 +11
3y=y+20
-y -y
2y=20
y=10
AD:
3y-11
3(10)-11
30-11
19
CD:
y+9
(10)+9
19
A farm has 5 brown cows and 10 white cows. A fence is open and a cow escapes. What is the probability that it will be a brown cow?
Answer:
D
Step-by-step explanation:
Ernesto has already baked 3 pies, and he can bake 2 pies with each additional cup of sugar
he buys. Write an equation that shows the relationship between the additional cups of sugar
x and the number of pies y.
Write your answer as an equation with y first, followed by an equals sign.
Answer:
igcwochcd chocho dhvohov dochvo
Can someone help me with this please
Answer:
the picture is upside down
Step-by-step explanation:
write the slope of x+2y=16 pls help fast
Answer: [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
To find the slope, let's turn the equation into slope-interept form. In slope intercept form, y=mx+b, we know that m=slope.
[tex]x+2y=16[/tex] [subtract both sides by x]
[tex]2y=-x+16[/tex] [divide both sides by 2]
[tex]y=-\frac{1}{2}x+8[/tex]
Now, we know that [tex]m=-\frac{1}{2}[/tex]. That tells us [tex]-\frac{1}{2}[/tex] is the slope.
Step-by-step explanation:
x+2y=16
-× -×
2y=-x+16
÷2. ÷2
y=-1/2x+8
slope is -1/2
If x=-3 what does 6+5x
Answer:
-9
Step-by-step explanation:
Plug in -3 for the x value to get 6 + 5 (-3). Multiply 5 by -3 to get -15 and subtract that number from 6 to get -9 as your final answer.
Why is a sample used more often more than a population
Answer:
A number which describes a characteristic of a population. ... Uses a sample to find conclusions, analyzations, and probability about a population. Why is a sample used more often than a population? Because it is more difficult to get an accurate population where as a sample is smaller and easier to assess.
A ball rolls 12 meters in 3 seconds. What is its speed?
Step-by-step explanation:
speed = distance/time
= 12/3 m/s
= 4 m/s
4
V = s/t
= 12/3
=4
S = move
T = time
V = speed
When Josh babysits, he charges a flat fee of $14 plus an
hourly rate of $9. How long would Josh need to babysit if he
wants to earn $86 in one night?
Answer:
8
Step-by-step explanation
86-14=72 this is the hourly rate before the flat fee is added on. Now you have to divide $72 by $9 to see how many hours josh needs to work. Josh gets paid $9 an hour so he needs to work for 8 hours in order to get $72. Then add the flat fee of 14 and you get $86
Mr. Garza had 178 pencils in a storage room. He put 46 more boxes of pencils in the storage room. Each box contained 12 pencils. Which of these is the best estimate of the number of pencils Mr. Garza now has in his storage room?
Answer: 730
Step-by-step explanation:
46x12+178= 730
PLZ HELP WILL GIVE V=BRIANLYEST
i also agree to this question
Answer:
i also agree to this question
Step-by-step explanation:
The formula for the velocity of an object is v=d/t, where v is the velocity of an object, dis the distance traveled, and t is the time elapsed, while the distance is traveled. If you had only this formula to work with, what should your first step be in determining how long it takes for light to reach Earth from the Sun? What additional information do you need to calculate this?
Answer:
To know the distance between the sun and the earth you need isolate d of the equation:
[tex]v = \frac{d}{t} \\ d = vt[/tex]
and the additional information needed is the velocity of light and the time elapsed to be in the earth
Which statement explains why the two systems of equations below have the same solution
Answer: "B"
The first equation B is the sum of the equations in A, while the other is obtained by multiplying the first equation in A by 2.
The first equation B is the sum of the equations in A, while the other is obtained by multiplying the first equation in A by 2 hence, the correct option is second.
What is a system of equations?An equation is an expression that shows the relationship between two or more numbers and variables.
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We are given the system of equation as;
A, { 6x + 8y = -10}
{2x - 5y = 12}
B, {8x + 3y = 2}
{12x + 16y = -20}
If we add the first two equations that shown in A, then;
6x + 8y + 2x - 5y = -10 + 12
8x + 3y = 2
Now the first equation in A would be multiplied by 2, So
2(6x + 8y = -10)
12x + 16y = -20
Therefore, the correct option is Option B.
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ6
Find the measure of angle YTG
Which of the following correctly shows the quotient of 55 divided by5 ?
Answer:
Quotient is 11
Step-by-step explanation:
In this question, we need to find the quotient of 55 divided by 5. In this case, 5 is divisor, 55 dividend. Let Q be the quotient of this.
On dividing 55 by 5, the quotient of this sum is 11. In this case, remainder is 0.
We know that,
11 × 1 = 11
And 11 × 5 = 55
So, the quotient in this case is 11. Hence, this is the required solution.
Have A Wonderful Day !!
solve the question below, please
Answer:
carios has greater angle
Step-by-step explanation:
hope this helps
What is -20 + 1/2 in a decimal form
Answer: The answer is -19.5
Step-by-step explanation: This is because 1/2 is .5 in decimal form. A negative PLUS a positive = is negative since the -20 is larger than .5
Answer:
the answer would be -19.5 :)
Step-by-step explanation:
A population of rabbits on a farm grows by 12% each year. Assume that this increase occurs as new baby rabbits at the beginning of each new year. Define a sequence {rn} describing the rabbit population at the beginning of each year. Suppose that the sequence starts with r1 = 30. for the first year. As the sequence is a model for the actual population, we accept fractional numbers in the sequence. (a) Determine r12. Determine a formula for rn, for general n. (b) If each rabbit consumes 10 pounds of rabbit food each year, then how much rabbit food is consumed during the 10th year? How much rabbit food is consumed in total for the 1st through 10th years? Express this as a summation and as an exact number.
Answer:
a) r₁₂ = 104.36
In general, rₙ = arⁿ⁻¹
b)
- rabbit food consumed during the 10th year is approximately 832 pounds
- rabbit food consumed in total for the 1st through 10th years is approximately 5265 pounds
Step-by-step explanation:
Given that:
r1 = 30 and a farm grows by 12%
a = 30 and the common ratio r = 1.12
now
n r
1 30.00
2 33.60
3 37.63
4 42.15
5 47.21
6 52.87
7 59.21
8 66.32
9 74.28
10 83.19
11 93.18
12 104.36
Therefore r₁₂ = 104.36
In general, rₙ = arⁿ⁻¹
b)
if each rabbit consume 10 lbs of rabbit food each year
n r food consumed(lbs)
1 30.00 300
2 33.60 336
3 37.63 376
4 42.15 422
5 47.21 472
6 52.87 529
7 59.21 592
8 66.32 663
9 74.28 743
10 83.19 832
total 5265
Therefore, the rabbit food consumed during the 10th year is approximately 832 pounds
And the rabbit food consumed in total for the 1st through 10th years is approximately 5265 pounds
Which equation is graphed below?
Hope it will help you
b. How much information could be transmitted in 30,000 packets?
Answer:
45'000,000 45 million
Step-by-step explanation:
Please help! Or if someone can explain how to find the answer
Answer:
If the equation is in the form, ax + b = c, where x is the variable, you can solve the equation as before. First “undo” the addition and subtraction, and then “undo” the multiplication and division. Solve 3y + 2 = 11. Subtract 2 from both sides of the equation to get the term with the variable by itself.
Answer: x = 20
All this is exaple hople it help