The end behavior is that as x approaches positive infinity, f(x) approaches positive infinity and as x approaches negative infinity, f(x) approaches negative infinity
How to determine the end behavior?The function is given as:
f(x) = 8x+8
The above function is a linear function.
A linear function is represented as:
f(x) = mx + b
This means that the slope of f(x) is 8 (a positive number)
For a linear function with a positive slope, the end behavior is that:
As x approaches positive infinity, f(x) approaches positive infinity and as x approaches negative infinity, f(x) approaches negative infinity
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Karen purchased a used vehicle that depreciates under a straight line method the initial value if the car is 4400 and the salvage value is 800 if the car is expected to have a useful life of another six years how much will it depreciate each year?
Answer:
Karen expects the vehicle to depreciate by 600 each year.
Step-by-step explanation:
Given:
- initial value: 4400
- salvage value: 800
- another six years
It is expected to depreciate from 4400 to 800 in 6 years.
The depreciation per year is the ratio
depreciation per year = (total depreciation) / (number of years)
Total depreciation is the change in value, so the depreciation per year is
(4400 - 800)/6 = 600
How do you solve this?
[tex]\text{L.H.S}\\\\=\begin{vmatrix} 1 & bc& b+c\\ 1 & ca& c+a\\ 1 &ab&a+b\end{vmatrix}\\\\\\=\begin{vmatrix} 1 & bc& b+c-(a+b+c)\\ 1 & ca& c+a-(a+b+c)\\ 1 &ab&a+b-(a+b+c)\end{vmatrix}~~~~~~~~~~~~~~~;c_3\rightarrow c_3 -(a+b+c)c_1\\\\\\=\begin{vmatrix} 1 & bc& -a\\ 1 & ca& -b\\ 1 &ab&-c\end{vmatrix}\\\\\\=\dfrac 1{abc}\begin{vmatrix} a & abc& -a^2\\ b & abc& -b^2\\ c &abc&-c^2\end{vmatrix}\\\\\\=-\dfrac {abc}{abc}\begin{vmatrix} a & 1& a^2\\ b & 1& b^2\\ c &1&c^2\end{vmatrix}\\[/tex]
[tex]=-1\begin{vmatrix} a & 1& a^2\\ b & 1& b^2\\ c &1&c^2\end{vmatrix}\\\\\\=-1 \times -1 \begin{vmatrix} 1 & a& a^2\\ 1 & b& b^2\\ 1 &c&c^2\end{vmatrix}\\\\\\=\begin{vmatrix} 1 & a& a^2\\ 1 & b& b^2\\ 1 &c&c^2\end{vmatrix}\\\\\\=\text{R.H.S}\\\\\text{Showed.}[/tex]
2.5. For his homework Thulani defined a factor as: "Factors of a number are formed when the number is multiplied by 1; 2; 3; 4". You realise that Thulani has a misconception when it comes to factors and multiples. (5)
Answer:
yes of course it was a question about the same as you can use it for a while now I am with you forever
The circle below has a center D and its diameter is 10 feet. Given that m angle A D B equals 35 degree, find the length of major arc stack A C B with overparenthesis on top.
A circle with center D and points A B C on the circle. Angle A D B is 35 degrees formed by radius B D and A D.
Group of answer choices
35 over 36 straight pi feet
325 over 18 straight pi feet
325 over 36 straight pi feet
35 over 18 straight pi feet
The length of major arc ACD in the circle with center D is given as (325/36)π feet
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The length of major arc ACD = [(360 - 35) / 360) * 2π(10/2) = (325/36)π feet
The length of major arc ACD in the circle with center D is given as (325/36)π feet
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Without simplifying, find:
a) the 6th term of (2x+5)^15
b) the 4th term of (x^2+5/x)^9
Answer:
Part A)
[tex]\displaystyle z_6 = 9609600000x^{10}[/tex]
Part B)
[tex]z_4 = 10500 x^9[/tex]
Step-by-step explanation:
Recall the binomial expansion theorem:
[tex]\displaystyle (x+y)^n = \sum_{k=0}^{n}{n \choose k} x^{n-k} y^k[/tex]
Part A)
Our expression is equivalent to:
[tex]\displaystyle (2x+5)^{15} = \sum_{k = 0}^{15} {15 \choose k} (2x)^{15-k}\cdot 5^k[/tex]
To find the sixth term, let k = 5. Therefore, the sixth term is:
[tex]\displaystyle \begin{aligned} z_6 &= {15\choose 5} (2x)^{15-5}\cdot 5^5 \\ \\ & = {15\choose 5}x^{10} \cdot (2)^{10}\cdot 5^5 \\ \\ &= 9609600000x^{10}\end{aligned}[/tex]
Part B)
Likewise:
[tex]\displaystyle \begin{aligned} \left(x^2 + \frac{5}{x}\right)^9 = \sum_{k=0}^9 {9\choose k}(x^2)^{9-k}\left(\frac{5}{x}\right)^{k}\end{aligned}[/tex]
To find the fourth term, let k = 3. Therefore, the fourth term is:
[tex]\displaystyle \begin{aligned} z_4 & = {9\choose 3}\left(x^2\right)^{9-3} \left(\frac{5}{x}\right)^{3} \\ \\ & = {9\choose 3}x^{12} \cdot \frac{5^3}{x^3} \\ \\ & = 10500x^9\end{aligned}[/tex]
Find the inequality represented in the graph.
Answer: y > -1/2x + 2
Step-by-step explanation: first, in order to find the inequalities you should find the gradient by choosing two points from the line and you should you the formula m=y2-y1/x2-x1 to find the gradient.
Next, you should find the y-intercept in order to complete the inequality it can be easily found as the y-intercept is the place where the line crosses the y axis
Then you create your equation { y = -1/2x + 2 } and then if above the line is shaded then it is {> greater than} and if below the line is shaded then it should be {< less than}
(so you should replace the equation with the lesser or greater sign according to the way the graph is shaded)
Mary, Bozo, Lee, Jan, Jay, and Nelly are on the academic challenge team. The club advisor will assign students to 3-person teams at the next competition. How many different 3-person teams can be formed from these six students?
Answer:
two groups
Step-by-step explanation:
you just divide the six students into two groups of two
A 12 m ladder propped against a wall forms an angle of 60° with the ground. Determine
how far the top of the ladder is from the ground. Include a diagram.
Answer:
the top of the ladder is approx 8.485 meters off the ground
written explanation included
Step-by-step explanation:
I should probably write this out in one note but bear with me, please.
Assuming the ground and the wall meet at a 90° angle
therefore the angles of the triangle formed are 90°, 30°, and 60°
Solve 7p+ 13 = 30 Give your answer as a fraction in its simplest form.
Answer: p = 2 3/7
Step-by-step explanation:
7p+13 = 30
7p = 17
p = 17/7
p = 2 3/7
A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
The value of p as a fraction in its simplest form is 17/7
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example:
1/2, 1/3 is a fraction.
2/4 is a fraction but we can simplify further since there is a common factor of 2 with 2 and 4.
2/4 = 1/2 is a fraction.
4/16 = 4/(4x4) = 1/4 is a fraction.
We have,
7p + 13 = 30
Solve for p.
Subtract 13 on both sides.
7p + 13 - 13 = 30 -13
7p = 17
Divide both sides by 7.
p = 17/7
We can not further simplify the fraction as there are no common factors between 17 and 7.
Thus,
The value of p as a fraction in its simplest form is 17/7
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Which of the following is the equation of the quadratic function below?
10
-10
10
O A. y = x² +9x-18
OB. y=x²-2x+1
C. y=x²-9x+18
OD. y=x²+2x-1
-10
Answer:
ehhhh probably C cuz it makes more sense
What is the perimeter of triangle JKL (same triangle as question #1)?
Answer:
x=30
Step-by-step explanation:
You have to use intercept theorem, also known as Thales's theorem to slvoe this.
A bank converts U.S. dollars to European euros at a rate of $1 for 0.88 euros. Kelsey wants 100 euros for her trip to Europe.
How much money, in dollars, does Kelsey need to give the bank
Answer:
$113.64
Step-by-step explanation:
0.88 x $113.636364 = 100 euros
= $113.64
(Hope this helps ^-^)
An amusement park charges $5 as an admittance fee and $1.50 per ride. Jason has $20 to spend, but used $3 to buy a
drink and hot dog.
A. Write an inequality that represents the situation,
B. What is the maximum number of rides Jason can go on.
Answer:
a=
b=8
Step-by-step explanation:
20-5=15 (admittance fee)
15-3=12 (food and drink)
12÷1.5=8 rides because 1.50 is price for every ride
If y varies directly as x and y = 8 when x = 4, what is the value of y when x = 16? a. 32 b. 16 c. 64 d. 28
By finding the proportional relation between x and y, we will see that when x = 16, we have y = 32.
How to get the value of y when x = 16?If y varies directly with x, then we can write the relation as:
y = k*x
Where k is the constant of proportionality.
First, we know that when x = 4, we have y = 8, replacing that we get:
8 = k*4
Solving for k, we get:
k = 8/4 = 2.
Then the relation between x and y is:
y = 2*x
When x = 16, we have:
y = 2*16 = 32
Then the correct option is a.
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If it is 78F in Memphis and -14F in Juneau, what is the temperature difference between the two cities?
Formulate
Based on the given conditions, formulate:
78 - (-14)
Calculate
78 - (-14)
Determine the sign
78 +14
Calculate
92
SO THE ANSWER IS 92
Matt hunts 5 out of 7 days in bow season. If bow season is 35 days long, how many days does Matt hunt?
Answer:
25
Step-by-step explanation:
35 days is 5 weeks , 7 days is 1 week
3(2x-9) - 4(3x + 4) = 2(x − 12) + 7/3
pls answer the question
Answer:
[tex]\normalsize \textsf{$x = -\dfrac{8}{3}$}[/tex]
Step-by-step explanation:
Given: [tex]\normalsize \textsf{$3(2x - 9) - 4(3x + 4) = 2(x - 12) + \dfrac{7}{3}$}[/tex]
1. Distribute
For 3:
[tex]\normalsize \textsf{$3(2x - 9)$}\\\normalsize \textsf{$3(2x) + 3(- 9)$}\\\normalsize \boxed{\textsf{$6x -27$}}\\[/tex]
For -4:
[tex]\normalsize \textsf{$-4(3x + 4)$}\\\normalsize \textsf{$-4(3x) + -4(4)$}\\\normalsize \boxed{\textsf{$-12x -16$}}\\[/tex]
For 2:
[tex]\normalsize \textsf{$2(x - 12)$}\\\normalsize \textsf{$2(x) + 2(-12)$}\\\normalsize \boxed{\textsf{$2x -24$}}\\[/tex]
Now we have: [tex]\normalsize \textsf{$6x - 27 - 12x -16 = 2x-24 + \dfrac{7}{3}$}[/tex]
2. Combine like terms:
[tex]\normalsize \textsf{$-6x -43 = 2x -\dfrac{72}{3} + \dfrac{7}{3}$}\\\\\normalsize \textsf{$-6x -43 = 2x -\dfrac{65}{3}$}\\\\[/tex]
3. Subtract 2x from both sides:
[tex]\normalsize \textsf{$-6x-2x -43 = 2x -2x -\dfrac{65}{3}$}\\\\\normalsize \textsf{$-8x -43 = -\dfrac{65}{3}$}\\\\[/tex]
4. Add 43 to both sides:
[tex]\normalsize \textsf{$-8x -43 +43 = -\dfrac{65}{3} + 43$}\\\\\normalsize \textsf{$-8x = -\dfrac{65}{3} + \dfrac{129}{3}$}\\\\\normalsize \textsf{$-8x = \dfrac{64}{3}$}[/tex]
5. Divide both sides by -8
[tex]\normalsize \textsf{$-8x = \dfrac{64}{3}$}\\\\\normalsize \textsf{$-8x \div 8 = \dfrac{64}{3} \div -\dfrac{8}{1}$}\\\\\normalsize \boxed{\textsf{$x = -\dfrac{8}{3}$}}[/tex]
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brainly.com/question/27543580brainly.com/question/27759148Find the measure of side b
Answer:
230??
Step-by-step explanation:
If C =270°
And b=40°
270-40= 230
Actually belive the one on top
please, I really need this answer the soon as possible. I'm going to be so thankful if anyone could help me with this...
Answer:
5/6
Step-by-step explanation:
i'm not rly confident,, but i used a calculator and solved it,,
so im sry if im wrong. Good luck!!
if f(x) = 4x²-2 then f(-2) is
A model plane weighs 150 grams, rounded to the
nearest ten grams.
How much could the plane weigh?
Answer:
its 150
Step-by-step explanation:
the "ten" is 5 to round it it will have to be the number to the right, which is 0 if its below 4 its changed to 0 and nothing happens to the ten
PLease HELP!!! 20 POINTS!!! WILL GIVE BRAINLIEST!!!
A number cube with faces labeled from 1 to 6 will be rolled once.
The number rolled will be recorded as the outcome.
Give the sample space describing all possible outcomes.
Then give all of the outcomes for the event of rolling the number 2.
If there is more than one element in the set, separate them with commas.
The sample space S = {1, 2, 3, 4, 5, 6} describing all possible outcomes and outcomes for the event of rolling the number 2 is E = {2}
What is sample space?It is defined as the space in which all possible outcomes are represented in a list form for a particular event.
We have:
A number cube with faces labeled from 1 to 6 will be rolled once.
Let S is the sample space:
As we know, the sample space is the set of all possible outcomes:
S = {1, 2, 3, 4, 5, 6}
The total number of outcomes:
n(S) = 6
The outcomes for the event of rolling the number 2.
E = {2}
n(E) = 1
Thus, the sample space S = {1, 2, 3, 4, 5, 6} describing all possible outcomes and outcomes for the event of rolling the number 2 is E = {2}
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It's always a good idea to check your solutions to any equation in the original equation. When solving an absolute value equation, when must you check for extraneous solutions?
A. Sometimes, when u only get one solution
B. Never
C. Always
D. Sometimes, when the variable appears both inside and outside the absolute value expression
You should must check for an extraneous solution when the variable appears both inside and outside the absolute value expression
What is an extraneous solution?
An extraneous solution is a solution that in obtained after completely solving an equation but it does not work in the original given equation.
You should must check for an extraneous solution when the variable appears both inside and outside the absolute value expression (Option D).
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Which is true regarding the graphed function f(x)? f of 0 = 3 f of 5 = negative 1 f of 3 = 2 f of 2 = negative 2
The answer is f of 5 = negative 1. The correct answer is option B
The complete graph is attached with the answer below.
What is graphed function?Graphing functions is drawing the curve that represents the function on the coordinate plane. If a curve (graph) represents a function, then every point on the curve satisfies the function equation.
We can see in the graph that the point (5, -1) is on the f(x). Hence, the answer is f of 5 = negative 1.
Therefore answer is f of 5 = negative 1. The correct answer is option B
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Answer:
The answer is f of 5 = negative 1.
Step-by-step explanation:
Edge
The financial planner for a beauty products manufacturer develops the system of equations below to determine how many combs must be sold to generate a profit. the linear equation models the income, in dollars, from selling x plastic combs; the quadratic equation models the cost, in dollars, to produce x plastic combs. according to the model, for what price is each comb being sold?
The income that's made based on the equation when 1 comb is sold is $0.5.
How to calculate the price?From the information given, the equation is given as y = x/2. In this case, it was illustrated that the income is depicted based on the combs sold.
Therefore, the income by selling 1 comb will be:
y = 1/2
y = $0.5
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NEED ASAP
What is the rule for the function that is graphed?
Answer:
C
Step-by-step explanation:
The y-intercept if the graph is 2 and the slope is 2 so the rule is y=2x+2
Write the ratio 6 mm: 180 cm in the form 1:n
The ratio in the form of 1 :n is 1:300.
What is a ratio ?Ratio of two number A and B is the comparison of A with respect to B and when two ratios are equal they are said to be in proportion.
It is given that a ratio is
6mm : 180cm
It has to be simplified in the form of
1:n
1 cm = 10mm
therefore
180 cm = 1800 mm
6mm:180cm = 6/ 1800
= 1/300
Therefore the ratio in the form of 1 :n is 1:300.
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need help as soon as possible
Solve for x. Calculate the area
Answer:
32 sq inches
Step-by-step explanation:
Hope that given shape is a rectangle.Measures of the opposite sides of a rectangle are equal-> x/2 = 8->x = 8*2-> x = 16 inches-> x/4 = 16/4 = 4 inchesA (rectangle) = 8*4 = 32 sq inches