Evaluating Functions in Graphical Form
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tu
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Use the graph to evaluate the function for the given input
value.
20
f(-1) =
10
f(1) =
-10
-20
Intro
Done
Step-by-step explanation:
Step 1: Find the value of f(-1)
Using the graph, locate where x = -1. We can see that when x = -1, y is equal to about -8. Therefore, f(-1) = -8.
Step 2: Find the value of f(1)
Using the graph, locate where x = 1. We can see that when x = 1, y is equal to about -12. Therefore, f(1) = -12.
The evaluated function:
f(-1) = -8 and f(1) = -12.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
As per the information provided, it is given that the evaluated points are:
(-2, 0), (-1, -8), (0, -6), (3, 0), (1, -12), and (2, -20).
To find the evaluated function at x = -1,
We have:
f(-1) = -8.
And to find the evaluated function at x = 1.
we have:
f(1) = -12.
Therefore, f(-1) = -8 and f(1) = -12.
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If every 1,000 views is 2 cents how much would I have if it was 100,000 views
Answer:
It's answer is 200 cents bun not sure
Alvin’s first step in solving the given system of equations is to multiply the first equation by 2 and the second equation by –3. Which linear combination of Alvin’s system of equations reveals the number of solutions to the system?
9x + 4y = 36
6x + 2.5y = 24
Infinite solutions: 0x – 0y = 0
No solutions: 0x + 15.5y = 144
One solution: 0x + 0.5y = 0
Two solutions: 0x – 0.5y = 60
Answer:
One solution: 0x + 0.5y = 0
Step-by-step explanation:
9x + 4y = 36
6x + 2.5y = 24
2 * Eq. 1
18x + 8y = 72
-3 * Eq. 2
-18x - 7.5y = -72
Add the multiples of the equations.
0x + 0.5y = 0
Answer: One solution: 0x + 0.5y = 0
The linear combination that reveals the number of solutions to the system is as follows:
One solution: 0x + 0.5y = 0
The system of linear equation is as follows:
9x + 4y = 36
6x + 2.5y = 24
He multiplied the first equation by 2 and the second equation by –3. Therefore,
Combined equation:18x + 8y = 72
-18x - 7.5y = -72
Therefore, let's add the equation
0x + 0.5y = 0
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Tickets for the school dance are $5. At that price, 300 students go to the dance. A survey of the students shows that if the ticket price goes up by $0.50, the number of students going to the dance decreases by 30. What is the optimum ticket price?
Answer:
The optimal price should be $10 which will result in maximum revenue.
Step-by-step explanation:
y = [5+ 0.5x] [ 300 - 30x]
y = 1500 - 150x + 150x - 15x^2
y = 1500 - 15x^2
x^2 = 1500 /15
x = [tex]\sqrt{100}[/tex]
x = 10
Expand and simplify (x-3)(x+5)
Answer: x² + 2x - 15
Step-by-step explanation:
Concept:
When we encounter questions that ask us to simplify expressions that consist of multiple parentheses, it is suggested to use the FOIL method to ease the process.
FirstOuterInnerLastSolve:
Given
(x - 3) (x + 5)
Expand parentheses
x² + 5x - 3x - 15
Combine like terms
x² + (5x - 3x) - 15
x² + 2x - 15
Hope this helps!! :)
Please let me know if you have any questions
Which of the following is equal to ….
Answer:
B option is your answer
Step-by-step explanation:
please mark as brainliest
Answer:
B. 4th root of 7
Step-by-step explanation:
denominator is the root. numerator is the exponent
Oak wilt is a fungal disease that infects oak trees. Scientists have discovered that a single tree in a small forest is infected with oak wilt. They determined that they can use this exponential model to predict the number of trees in the forest that will be infected after t years.
f(t) = e^0.4t
The scientists believe the forest will be seriously damaged when 21 or more of the forest’s 200 oak trees are infected by oat wilt. According to their model, how many years will it take for 21 of the trees to become infected?
Type the correct answer in the box. Use numerals instead of words. Round your answer to the nearest tenth.
To solve this question, we need to solve an exponential equation, which we do applying the natural logarithm to both sides of the equation, getting that it will take 7.6 years for for 21 of the trees to become infected.
Model:
The exponential model for the number of infected trees after t years is given by:
[tex]f(t) = e^{0.4t}[/tex]
How many years will it take for 21 of the trees to become infected?
This is t for which:
[tex]f(t) = 21[/tex]
Thus
[tex]e^{0.4t} = 21[/tex]
Applying the natural logarithm to both sides:
[tex]\ln{e^{0.4t}} = \ln{21}[/tex]
[tex]0.4t = \ln{21}[/tex]
[tex]t = \frac{\ln{21}}{0.4}[/tex]
[tex]t = 7.6[/tex]
It will take 7.6 years for for 21 of the trees to become infected.
For another example of a problem in which an exponential equation is solved, you can check brainly.com/question/24290183.
List the first five multiples of 6.
a )
List the first five multiples of 9.
b )
What is the Lowest Common Multiple of 6 and 9?
c)
a]. The first 5 multiples of 6 are 6, 12, 18, 24, and 30.
b]. The first 5 multiples of 9 are 9, 18, 27, 36, 45.
c]. Least common multiple (LCM) of 6 and 9 is 18.
a=6= 1,2,3,6,12
9=1,3,9,18,27
l.c.m is 1 and 3
Can anyone help please with the question please
Answer:
f(x) -5x
g(x) -85x²
f(x) . g(x)
-90x
Answer:
36x³ + 25x² + 12x + 2
Step-by-step explanation:
f(x) × g(x)
= (- 4x - 1)(- 9x² - 4x - 2)
Each term in the second factor is multiplied by each term in the first factor
- 4x(- 9x² - 4x - 2) - 1 (- 9x² - 4x - 2) ← distribute parenthesis
= 36x³ + 16x² + 8x + 9x² + 4x + 2 ← collect like terms
= 36x³ + 25x² + 12x + 2
8 x (5 - 2) = ( _ x 5) - ( _ x 2)
Answer:
8 x (5 - 2) = ( 8 x 5) - ( 8 x 2)
Step-by-step explanation:
8 x (5 - 2) = ( _ x 5) - ( _ x 2)
Distribute
8 x (5 - 2) = ( 8 x 5) - ( 8 x 2)
help help help ty ttttyyy
Answer:
ମୁଁ ବର୍ତ୍ତମାନ ଦୁ sorry ଖିତ ଗର୍ଲି ନୁହେଁ |
Step-by-step explanation:
ନିମୋନୋଲ୍ଟ୍ରାମିକ୍ରୋସ୍କୋପିକ୍ସିଲିକୋଭୋଲକାନୋକୋନିଓସିସ୍ |
Could I get the answer don’t understand
Answer:
DE = 21.4
Step-by-step explanation:
The parallel lines divide the transversals proportionally, that is
[tex]\frac{DE}{EB}[/tex] = [tex]\frac{DF}{FC}[/tex] , substitute values
[tex]\frac{DE}{10.7}[/tex] = [tex]\frac{32}{16}[/tex] = 2 ( multiply both sides by 10.7 )
DE = 21.4
HIIII!!!!! I NEED HELP!
Answer:
16⅜ cups
Step-by-step explanation:
Start by getting the same denominator on both fractions and by eliminating the mixed fraction. So our problem is:
15¾ cups + ⅝ cups = ?
15¾ = 63/4 = 126/8
126/8 + ⅝ = 131/8 = 16⅜
A student graphed function f(x) =( x+2)² - 5. How would the new function be written if it is translated 3 units to the right, shifted 2 units down and vertically stretched by a factor of 2?
Answer:
f(x)=2(x-3)-2
Step-by-step explanation:
when you hear if it translate to the right, it mean subtract " - "
so translate 3 unit right, it mean minus 3.
and same if translate left, it mean add, "+"
But if it mean shift down, it mean minus -
and if it mean shift up, it mean add +
so shift down 2 unit, mean -2
stretch factor of 2, mean multiply by 2
I hope this help! Im gonna explain further more if you have any question☺
The transformation of a function involves changing the features of the original function to another.
The new function is: [tex]f"(x) = 2(x- 1)^2 - 14[/tex]
The function is given as:
[tex]f(x) = (x + 2)^2 - 5[/tex]
When translated right, the rule is:
[tex](x,y) \to (x - h, y)[/tex]
In this case;
[tex]h= 3[/tex] --- i.e. 3 units right
So, the function becomes
[tex]f'(x) = (x + 2 - 3)^2 - 5[/tex]
[tex]f'(x) = (x - 1)^2 - 5[/tex]
When shifted down, the rule is:
[tex](x,y) \to (x, y - b)[/tex]
In this case;
[tex]b =2[/tex] --- i.e. 2 units down
So, the function becomes
[tex]f'(x) = (x- 1)^2 - 5-2[/tex]
[tex]f'(x) = (x- 1)^2 - 7[/tex]
When vertically stretched, the rule is:
[tex](x,y) \to (x, ay)[/tex]
In this case;
[tex]a =2[/tex] --- i.e. factor of 2
So, the function becomes
[tex]f"(x) = 2*[(x- 1)^2 - 7][/tex]
[tex]f"(x) = 2(x- 1)^2 - 14[/tex]
Hence, the new function is: [tex]f"(x) = 2(x- 1)^2 - 14[/tex]
Read more about function transformations at:
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Solve for x.
A) -6
C) -8
B) 12
D) -10
Answer:
i believe it's -6? option a.
Step-by-step explanation:
okay.
60 degrees + a right angle, 90 degrees = 150 degrees
a triangle is normally 180 degrees.
180-150=30
so we need to get 30 from that equation, x + 36
x + 36 = 30
you solve.
x = -6
if im wrong, feel free to correct me + sub to gauthmath sub reddit if ya can !
What is the value of x in the figure below? In this diagram, AABD ~ ACAD.
15
B
х
20
Answer:
E
Step-by-step explanation:
(leg of big triangle)² = (part of hypotenuse below it) × (whole hypotenuse)
15² = x × 20
225 = 20x ( divide both sides by 20 )
[tex]\frac{225}{20}[/tex] = x , that is
x = [tex]\frac{45}{4}[/tex] → E
The value of the x in the given triangle is 45/4.
What are similar triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Given is right triangle ABC, divided into two more right triangles, ADC and ADB, also, triangle ABD ~ triangle CAD.
Therefore, according to the definition of similar triangles, the corresponding sides are in proportion.
we have,
CA / CB = CD / CA
15/20 = x/15
x = 15²/20
x = 225/20
x = 45/4
Hence, the value of the x in the given triangle is 45/4.
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Mr. Barry invested some money at 5% and amount half as great as 4%. His total annual income from both investments was $210. Find the amount invested at 4%
A) $1000
B) $1500
C) $2000
D) $2500
The amount invested at 4% is 1500.
How to estimate the amount invested at 4%?Let x be the amount invested at 4%.
2x be the amount invested at 5%.
0.04x + 0.05(2x) = 210
Multiply by 100 to eliminate decimals
4x + 5(2x) = 21000
Remove parentheses: (a) = a
[tex]4 x+5 \cdot 2 x=21000[/tex]
Multiply the numbers: [tex]$5 \cdot 2=10$[/tex]
4x+10x = 21000
Add similar elements:
4x+10x = 14x
14x=21000
Divide both sides by 14
[tex]$\frac{14 x}{14}=\frac{21000}{14}[/tex]
Simplifying the above equation, we get
x = 1500
The amount invested at 4% is 1500.
Therefore, the correct answer is option B) $1500.
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please no wrong answers
what to do next??
Step-by-step explanation:
I am not sure what you want to calculate as ultimate goal.
but your have an error already in your third line in the picture.
(3-6i)(2-4i) = 3×(2-4i) - 6i(2-4i)
you had there a "+" instead of a "-".
and then you made subsequent mistakes in every line, some of them are funnily bringing you more back to the real result (e.g. -12i + 12i would be 0 and not -24i, but if the third line would have been correct, then yes, -24i is actually needed) - but not completely.
= 3×2 - 3×4i - 6i×2 + 6i×4i =
= 6 - 12i - 12i + 24×-1 = 6 - 24i - 24 = -24i - 18
then in the last 3 lines you kind of lose it completely. I am absolutely not sure, what you are calculating, and where the "+" cube from instead of "×" (multiplications) and such.
(3+6i)(2+4i) = 3×2 + 3×4i + 6i×2 + 6i×4i =
= 6 + 12i + 12i + 24×-1 =
= 6 + 24i - 24 = 24i - 18
is that what you wanted to show ?
which choice is equivalent to the expression below when x > 0?
√50x³ - √25x³ + 5√x³ - √2x³
A. 4√x
B. 28√x³³
C. 5√2x
D. 4x√2x
Answer:
D
Step-by-step explanation:
5[tex]\sqrt{2x^3}[/tex] -5[tex]\sqrt{x^3}[/tex] + 5√x³ -√2x³ = 4[tex]\sqrt{2x^3}[/tex] = 4x√2x
if n(u) = 800. n(a) = 400. n(b) = 300 n(āūb) = 200 what is n(anb) and n(a)
hlppppppppppppppp mehhhhhhhhhhhhhhh
Answer:
120
Step-by-step explanation:
Given,
t = 2
s = 10
3 t^2 s
= 3 x 2^2 x 10
= 3 x 4 x 10
= 120
Answer:
Step-by-step explanation:
Hello!
t² = 2²=4
3*4*10 = 120
PLEASE HELP !!
Given that p II q, fill in the reasons why each statement is true.
Answer:
1. Given
2. Def of Vertical Angles
3. Alternate Interior Angles
4. Def of Vertical angles
5. Opposite exterior angles
Step-by-step explanation:
A restaurant is ordering vegetables for the upcoming week. Potatoes are shipped in 30-pound bags and onions are shipped in 5-pound bags. If the restaurant receives 1,800 pounds of potatoes and onions and there are 25 more bags of potatoes than bags of onions, how many pounds of onions are received?
Answer:
525 pound of onions were recieved
Step-by-step explanation:
1 bag of potatoes: 30 pounds
total pounds of potatoes and onions received= 1800
let the total pounds of onions received be x,
25 bags of potatoes = 25 × 30= 750 pounds
now according to the question,
x + x + 750= 1800
2x = 1800 - 750
x= 1050 ÷ 2
x= 525
Note: plz correct me if I am wrong somewhere
The restaurant receives 150 pounds of onions.
How to determine pounds of onions receivedLet's assume the number of bags of onions is "x". According to the problem, there are 25 more bags of potatoes than bags of onions, which means the number of bags of potatoes is "x + 25".
The weight of each bag of potatoes is 30 pounds, so the total weight of potatoes is 30(x + 25) pounds.
The weight of each bag of onions is 5 pounds, so the total weight of onions is 5x pounds.
According to the problem, the restaurant receives 1,800 pounds of potatoes and onions in total. We can set up the following equation based on this information:
30(x + 25) + 5x = 1800
Simplifying the equation:
30x + 750 + 5x = 1800
35x + 750 = 1800
35x = 1800 - 750
35x = 1050
Dividing both sides by 35:
x = 1050 / 35
x = 30
Therefore, the restaurant receives 30 bags of onions.
To find the weight of onions, we can substitute the value of x into the expression for the weight of onions:
Weight of onions = 5x = 5 * 30 = 150 pounds
Therefore, the restaurant receives 150 pounds of onions.
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Two similar polygons have areas of 4 square inches and 64 square inches.
The ratio of a pair of corresponding sides is .
The ratio of a pair of corresponding sides is .
The ratio of a pair of corresponding sides is .
The ratio of a pair of corresponding sides is .
Answer:
4
Step-by-step explanation:
The ratio of the area of similar figures is the ratio between corresponding sides squared. This means that 64/4 or 16 is the square of the ratio of corresponding sides. By taking the square root of 16, we get that ratio is 4.
esto es verdadero oh falso
como se resuelve
3/4 + 1/2 + 1/3 + 2/9 + ...... = 9/4
Answer
The missing value is 4/9
Please find the value of A,B,C&D
Given
A + B = 8
A + C = 13
B + D = 8
C - D = 6
Now
A + B = B + D
A = B + D -B
A = D
C - D = C - A
A + C = 13
C - A = 6
Adding 7 on both sides
C - A +7 = 6+7
C - A + 7 = A + C
C-C -A + 7 = A
-A +7 = A
7 = A+A
7/2 = A
A = 3.5
B = 4.5
C =9.5
D = 3.5
Answered by Gauthmath must click thanks and mark brainliest
The slopes of two lines. Determine the value of ‘a’ that will make the lines
parallel
and perpendicular
if 20,x,y,z,25 are in AP .find the value of X,y,z.
Answers:
x = 21.25y = 22.5z = 23.75=============================================================
Work Shown:
AP = arithmetic progression, which is the same as arithmetic sequence
d = common difference
x = 20+dy = 20+2dz = 20+3dNotice how we scale up the d terms d, 2d, 3d, counting up by 1 each time.
So that must mean 25 is the same as 20+4d
20+4d = 25
4d = 25-20
4d = 5
d = 5/4
d = 1.25
and therefore,
x = 20+d = 20+1.25 = 21.25y = 20+2d = 20+2*1.25 = 22.5z = 20+3d = 20+3*1.25 = 23.75We could convert these to fraction form, but I find decimal form is easier in this case.
A publishing company expects to sell 5000 copies of a new book from its web site, if the company charges $30 per book. The company expects that 500 more books would be sold for each price reduction of $2. What price would maximize the company's revenue?
Solution :
Let the revenue be = R
Therefore, R = price x quantity
R = (30 - 2x) ( 5000 + 500x)
= [tex]150000 + 5000x - 1000x^2[/tex]
For the maximum revenue,
[tex]$\frac{dR}{dx} = 0$[/tex]
[tex]$-2000x+5000=0$[/tex]
[tex]$x=2.5$[/tex]
[tex]$\frac{d^2R}{dx^2}=-2000<0$[/tex]
At [tex]x=2.5[/tex], the revenue is maximum.
So the price for the maximum company revenue = [tex]$30-2x$[/tex]
[tex]$=30-2(2.5)$[/tex]
= 30 - 5
= 25
Therefore, the price that will maximize the company's revenue is $25.
Please i really need it rn pls
The 3rd option is correct
