Answers
Answer:
22
Step-by-step explanation:
9 + 8 + 14 = 22
I hope this helps!
Related Questions
if g(x) = |2x-9|, find g(2)+g(3)
Answers
Graph the solution set to this inequality. -2x+9_> 5x-12
Answers
x ≤ 3 (closed dot going to the left)
2. Which will help you answer, "To what power must a student raise the number 5 to have an answer of 625?"
Answers
Answer:
125
Step-by-step explanation:
Consider the following function.
f(x) = 1 + 5/x - 4/x2
(a) Find the vertical asymptote(s).
(b) Find the interval where the function is increasing.
Find the interval where the function is decreasing.
(c) Find the local maximum and minimum values.
(d) Find the interval where the function is concave up.
Find the interval where the function is concave down.
Find the inflection point.
(e) Use the information from parts (a)-(d) to sketch the graph of f.
Answers
Answer:
See below
Step-by-step explanation:
I assume the function is [tex]f(x)=1+\frac{5}{x}-\frac{4}{x^2}[/tex]
A) The vertical asymptotes are located where the denominator is equal to 0. Therefore, [tex]x=0[/tex] is the only vertical asymptote.
B) Set the first derivative equal to 0 and solve:
[tex]f(x)=1+\frac{5}{x}-\frac{4}{x^2}[/tex]
[tex]f'(x)=-\frac{5}{x^2}+\frac{8}{x^3}[/tex]
[tex]0=-\frac{5}{x^2}+\frac{8}{x^3}[/tex]
[tex]0=-5x+8[/tex]
[tex]5x=8[/tex]
[tex]x=\frac{8}{5}[/tex]
Now we test where the function is increasing and decreasing on each side. I will use 2 and 1 to test this:
[tex]f'(2)=-\frac{5}{2^2}+\frac{8}{2^3}=-\frac{5}{4}+\frac{8}{8}=-\frac{5}{4}+1=-\frac{1}{4}[/tex]
[tex]f'(1)=-\frac{5}{1^2}+\frac{8}{1^3}=-\frac{5}{1}+\frac{8}{1}=-5+8=3[/tex]
Therefore, the function increases on the interval [tex](0,\frac{8}{5})[/tex] and decreases on the interval [tex](-\infty,0),(\frac{8}{5},\infty)[/tex].
C) Since we determined that the slope is 0 when [tex]x=\frac{8}{5}[/tex] from the first derivative, plugging it into the original function tells us where the extrema are. Therefore, [tex]f(\frac{8}{5})=1+\frac{5}{\frac{8}{5}}-\frac{4}{\frac{8}{5}^2 }=\frac{41}{16}[/tex], meaning there's an extreme at the point [tex](\frac{8}{5},\frac{41}{16})[/tex], but is it a maximum or minimum? To answer that, we will plug in [tex]x=\frac{8}{5}[/tex] into the second derivative which is [tex]f''(x)=\frac{10}{x^3}-\frac{24}{x^4}[/tex]. If [tex]f''(x)>0[/tex], then it's a minimum. If [tex]f''(x)<0[/tex], then it's a maximum. If [tex]f''(x)=0[/tex], the test fails. So, [tex]f''(\frac{8}{5})=\frac{10}{\frac{8}{5}^3}-\frac{24}{\frac{8}{5}^4}=-\frac{625}{512}<0[/tex], which means [tex](\frac{8}{5},\frac{41}{16})[/tex] is a local maximum.
D) Now set the second derivative equal to 0 and solve:
[tex]f''(x)=\frac{10}{x^3}-\frac{24}{x^4}[/tex]
[tex]0=\frac{10}{x^3}-\frac{24}{x^4}[/tex]
[tex]0=10x-24[/tex]
[tex]-10x=-24[/tex]
[tex]x=\frac{24}{10}[/tex]
[tex]x=\frac{12}{5}[/tex]
We then test where [tex]f''(x)[/tex] is negative or positive by plugging in test values. I will use -1 and 3 to test this:
[tex]f''(-1)=\frac{10}{(-1)^3}-\frac{24}{(-1)^4}=-34<0[/tex], so the function is concave down on the interval [tex](-\infty,0)\cup(0,\frac{12}{5})[/tex]
[tex]f''(3)=\frac{10}{3^3}-\frac{24}{3^4}=\frac{2}{27}>0[/tex], so the function is concave up on the interval [tex](\frac{12}{5},\infty)[/tex]
The inflection point is where concavity changes, which can be determined by plugging in [tex]x=\frac{12}{5}[/tex] into the original function, which would be [tex]f(\frac{12}{5})=1+\frac{5}{\frac{12}{5}}+\frac{4}{\frac{12}{5}^2 }=\frac{43}{18}[/tex], or [tex](\frac{12}{5},\frac{43}{18})[/tex].
E) See attached graph
Which table of values represents possible solutions to
the equation y = 0.7x - 4.3?
х
49
у
30
X y
49 40
19 19
-11-12
-31-16
19 19
-11-12
-31 -26
B
Х
у
30
49
19 9
-11-12
-31 -26
Х
у
49 40
19 19
-11 -2.
-31 -16
D
Answers
Step-by-step explanation:
it will be c as shown in the photo
One mom has 3 children, and each child attends a different level of school. If the mom plans to pick her children up, what would be her total distance traveled if she starts at the high school, then goes to the elementary school, and finally the middle school? (Write your answer as a decimal rounded to the nearest tenths place). *
Answers
Answer: I need the map good sir please show it
Step-by-step explanation:
Tell which value of the variable is the solution of the equation.
s−4.3=0; s=4.3, 4.4, 4.5, 4.6
Question content area bottom
Part 1
Which of the following is the solution of the equation?
A. 4.3
B. 4.5
C. 4.4
D. 4.6
E. No solution is given in the set of values
Answers
Answer:
a
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.shshs
NEED HELP! GIVING OUT BRAINLIEST! (Need long answer)
The diagram below shows a proportional relationship between the number of cans of soup and the price.
Explain what this value means in terms of the soup.
Answers
Step-by-step explanation:
The diagram below shows a proportional relationship between the number of cans of soup and the price.
1st:
$3.75 for 3 cans
per can
2nd:
$6.25 for 5 cans
per can
If x is the number of cans and y is the price of x cans, then
This means the constant of proportionality is 1.25 and its meaning is the soup price per can
Given the line segment AD. AD=24 BC=12,AB=CD Find AB ?
Answers
Answer:
I think its 6
Step-by-step explanation:
Write an equation involving absolute value or the graph
Answers
Answer:
Step-by-step explanation:
2 AND 4
Find the length of the second base of a trapezoid with one base measuring 12 feet,a height of 4,and an area of 58 square feet.
Answers
Answer:
Step-by-step explanation:
A = ½(b₁ + b₂)h
b₂ = 2A/h - b₁
b₂ = 2(58)/4 - 12
b₂ = 17 ft
area of a triangle b-2s^2+3t^2 h-4s^2-3t^2
Answers
Answer:
1 flmpysc - ax + x - y - 2
this could help
Question Write an equation of the line passing through the point A(0, 3) that is perpendicular to the line y = −1/2x−6
Answers
Answer:
The equation would be y=2x+3 I am pretty sure
Step-by-step explanation:
This is because you take the slope which is 2 from the line y=-1/2x-6. To find the slope perpendicular to the line, you need to find the exact opposite of the slope: -1/2, and in this case, it would be 2.
(Ex: if it was -3/4, you would need to use a slope of 4/3 since it is the opposite)
Then you take that slope (2) and the point (0, 3) and put it into "y-y1=m(x-x1)"
y-y1=m(x-x1)
y-3=2(x-0)
-distribute the 2-
y-3=2x-0
-add 3 on both sides-
so equation would be y=2x+3
Not sure if this is all correct, but I hope it helps! :)
Help help help help help help help math
Answers
Answer:
Angle 6
Step-by-step explanation:
They are both the same angle size
Answer:
Angle 1
Step-by-step explanation:
Refer to the attached picture
solve for m -7/9 m = 11/6
Answers
Answer:
19/18
Step-by-step explanation:
substitute the value of m(11/6) in m-7/9
which is equal to 11/6 -7/9 =19/18
(x3 + 9x2 + 1)(3x2 + 4x − 4)
Answers
20 kilograms increased by 25%
Answers
Answer:
25 kilograms
Step-by-step explanation:
What is the value of y in the solutions of the system of equations: 3x + 4y = 3 and 2x – 4y = 12?
Answers
Answer:
y = -3
Step-by-step explanation:
3x + 4y = 3
2x - 4y = 12
5x = 15 Add the two equation together because the y terms are
opposite each other and goes out when you add the equations
x = 5
Substitute into the first equation and solve for y when x = 5
3x + 4y = 3
3(5) + 4y = 3
15 + 4y = 3
4y = 3 - 15
4y = -12
y = -3
Step 1) Solve the second equation for
y
2
x
+
y
=
−
8
−
2
x
+
2
x
+
y
=
−
2
x
−
8
0
+
y
=
−
2
x
−
8
y
=
−
2
x
−
8
Step 2) Substitute
(
−
2
x
−
8
)
for
y
in the first equation and solve for
x
:
−
3
x
+
4
y
=
12
becomes:
−
3
x
+
4
(
−
2
x
−
8
)
=
12
−
3
x
+
(
4
×
−
2
x
)
+
(
4
×
−
8
)
=
12
−
3
x
+
(
−
8
x
)
+
(
−
32
)
=
12
−
3
x
−
8
x
−
32
=
12
(
−
3
−
8
)
x
−
32
=
12
−
11
x
−
32
=
12
−
11
x
−
32
+
32
=
12
+
32
−
11
x
−
0
=
44
−
11
x
=
44
−
11
x
−
11
=
44
−
11
−
11
x
−
11
=
−
4
x
=
−
4
Step 3) Substitute
−
4
for
x
in the solution to the second equation at the end of Step 1 and calculate
y
:
y
=
−
2
x
−
8
becomes:
y
=
(
−
2
×
−
4
)
−
8
y
=
8
−
8
y
=
0
The Solution Is:
x
=
−
4
and
y
=
0
Or
(
−
4
,
0
)
In a proposed business venture, a businesswoman estimates there is a 65% chance she will make $57000 and a 35% chance she will lose $67000. Determine her expected value.
Answers
Answer:
q
Step-by-step explanation:
what is c3 - 1 when c = 4
Answers
4x3=12-1=11
c3-1
4*3-1
12-1
=11
What is correct A, B or C
Answers
Answer:
A is the correct solution
Step-by-step explanation:
3x³ + 4x² + 0x - 1 / x - 2
3 10 20
-2 | 3 4 0 -1
- (3 -6)
10 0
- (10 -20)
20 -1
- (20 -40)
39
3x² + 10x + 20 + 39/(x - 2)
Britney is trying out for the track team along with 24 other people nine people were running distance seven people were there to sprint three people are in the competition to throw Shotput and six people were there to polevault Britney was able to run a half a mile in six minutes and she finish seventh Place in the 100 m dash which of these pieces of data is discreet and which one is continuous
Answers
Answer:
The 6-minute half-mile time is continuous data; the number of people trying out for the team is discrete data.
Step-by-step explanation:
Pls help I’ll brainlest help I’m failing do it on a paper and put it in the answer box
Answers
emma is finding 7/2 x 2/5
Answers
Answer:
14/10
OR
7/5
Step-by-step explanation:
(7*2)/(2*5) = 14/10
(14/2) / (10/2) = 7/5
Answer:
Mixed fraction: 1 2/5
Decimal form: 1.4
Hope this helps :)
what is the slope of -y=-x+6
Answers
Answer:
m = 1b = -6Step-by-step explanation:
We know that:
-y = -x + 6y = mx + bFirst, we need to change the 'y' sign.
=> -y = -x + 6=> y = x - 6Now, let's compare both of the equations to find slope.
=> (y = x - 6) = (y = mx + b)We can see that the slope is 1 and the y-intercept is -6.
Conclusion:
Therefore:
m = 1b = -6Hoped this helped.
if you dont wear a retainer after braces can your teeth still be straight without wearing one cause mine still are and its been 6 months?
Answers
What is the solution to the system of equations
Answers
Answer:
x = 5
y = -4
Step-by-step explanation:
Consider the functions f(x) = 12^x and g(x)= -2(12)^x. Which transformations must be applied to function F to produce the graph of function g?
SELECT ALL CORRECT ANSWERS
Vertical stretch
Vertical Shift
Vertical Compression
Reflection over the x-axis
Horizontal Shift
Answers
Answer:
Step-by-step explanation:
g(x) = -2f(x)
Vertical stretch by virtue of the factor 2
Reflection over the x-axis by virtue of the factor -1
The transformations which must be applied to function F to produce the graph of function g are vertical stretch and reflection over the x-axis.
To transform the function f(x)=12ˣ into the function g(x)=−2(12)ˣ
Since g(x) is multiplied by -2 compared to f(x), this represents a vertical compression.
The absolute value of the multiplier indicates the degree of compression/stretch.
The negative sign in front of 2(12)ˣ in g(x) reflects the graph over the x-axis. This means that the graph of g(x) is reflected below the x-axis compared to f(x).
Hence, vertical stretch and reflection over the x-axis are the transformations which must be applied to function F to produce the graph of function g.
To learn more on Graph transformation click here:
https://brainly.com/question/28025572
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Emilio has 8 large bottles of soda and 12 large jugs of water. Emilio wants to set up identical tables and have no drinks left over. What is the greatest number of tables that he can set up?
Answers
Answer:
4
Step-by-step explanation:
Think about the ratio between the current number of large bottles of soda(8) and the current number of jugs of water (12)
By finding the GCF (Greatest Common Factor) of the two numbers, we can conclude that if both numbers were to be divided by the GCF, 4, we would get a 2:3 ratio.
For every 2 bottles of soda, 3 jugs of water will be placed. Keep doing this until we run out of both sources of liquid, in this case, 4 tables where we would use all the bottles of soda and the jugs of water.
Which of the following describes exponential decay?
A. The amount at a given time can be calculated by multiplying the previous amount
by a value greater than 1.
B. The amount at a given time can be calculated by multiplying the previous amount by a value less than 1.
C. The amount at a given time can be calculated by adding an amount to the previous amount.
D. The amount at a given time can be calculated by subtracting an amount from the previous amount.
Answers
The amount at a given time can be calculated by multiplying the previous amount by a value less than 1, which represents exponential decay. Hence, option B is the right choice.
What does linear function mean?A quantity grows (or depreciates) linearly if it increases (or decreases) by the same amount per unit of time.
What does exponential function mean?A quantity grows (or depreciates) exponentially if the increase (or decrease) in the amount is a multiple of the previous amount.
How to solve the question?In the question, we are asked to identify the option that best describes an exponential decay.
We assess each option and try to identify the exponential decay among them.
A. The amount at a given time can be calculated by multiplying the previous amount by a value greater than 1: This is an exponential function as it is multiplied by the previous amount, but it shows exponential growth as the quantity multiplied is greater than 1.B. The amount at a given time can be calculated by multiplying the previous amount by a value less than 1: This is an exponential function as it is multiplied by the previous amount, and it shows exponential decay as the quantity multiplied is less than 1.C. The amount at a given time can be calculated by adding an amount to the previous amount: This is a linear function as a fixed quantity is added.D. The amount at a given time can be calculated by subtracting an amount from the previous amount: This is a linear function as a fixed quantity is subtracted.Therefore, the amount at a given time can be calculated by multiplying the previous amount by a value less than 1, which represents exponential decay. Hence, option B is the right choice.
Learn more about exponential functions at
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