Using the given graph of the function f, find the following.(d) whether it is even, odd, or neither
Answers
The function is even function if graph of function is symmetric about y-axis, he function is odd function if graph of function is symmetric about origin.
From the graph of function it can be observed that (-2,0) and ()
Related Questions
Bernies cafe has regular coffee and decaffeinated coffee this morning the cafe served 80 coffees in all 48 of which were regular what percentage of the coffees were regular
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We have to divide the number of regular ones by the total. Then multiply the result by 100.
48/80*100 = 60
Our answer is 60 % of the coffees were regular.
I don't know how to figure this out. A and B look the same and C and D look the same
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The difference between A and B, and C and D is the continuous/discontinuous line.
When the line is discontinuous, it means the values are NOT included. In this case, the sing < or > is used.
When the line is continuous, it means the values ARE included. In this case, the sing ≤ or ≥ is used.
Now, to determine which graphic is the one of our function, we can get the intersections with the y- and x-axis.
• Intersection with y-axis: ,x = 0
[tex]3x+y>4[/tex][tex]3\cdot0+y>4[/tex][tex]y>4[/tex]The intersection in y-axis happens on y > 4.
Intersection with x-axis: y = 0
[tex]3x+0>4[/tex][tex]x>\frac{4}{3}[/tex]The intersection in y-axis happens on x > 4/3.
Answer: C.
Becky has 12 strips of staples. Each strip has 210 staples.The bar diagram represents the total number of staples Becky has.
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The total number of staples Becky has is the number of strips times the number of staples per strip:
[tex]12\times210=2520.[/tex]Answer: 2520.
i need help with number 17, just the algebraic equation
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The graph and equation of a function is given.
It is required to find its y-intercept and zeros using the graph, and then finding these values algebraically.
Using the graph:
Recall that the y-intercept is the point where the graph of the function intersects the y-axis.
From the graph, notice that the graph intersects the y-axis at y=0.
Hence, the y-intercept is y=0.
Recall also that the x-intercepts or zeros is the point where the graph of the function intersects the x-axis.
From the graph, the graph intersects the x-axis at x= -1,0, and 1.5.
Hence, the zeros are x= -1,0, and 1.5.
Find these values algebraically:
To find the y-intercept algebraically, substitute x=0 into the function:
[tex]\begin{gathered} f(x)=2x^3-x^2-3x \\ \text{ Substitute }x=0\text{ into the equation:} \\ \Rightarrow f(0)=2(0)^3-0^2-3(0) \\ \Rightarrow f(0)=0 \end{gathered}[/tex]Hence, the y-intercept is y=0.
To find the zeros, substitute f(x)=0 into the function and solve for x:
[tex]\begin{gathered} 2x^3-x^2-3x=0 \\ \text{ Factor the left-hand side:} \\ \Rightarrow x(2x^2-x-3)=0 \\ \Rightarrow x(2x^2-3x+2x-3)=0 \\ \Rightarrow x[x(2x-3)+1(2x-3)]=0 \\ \Rightarrow x(x+1)(2x-3)=0 \end{gathered}[/tex]Equate each factor to 0
I need to know the answer to this like asap
Answers
In general, a vertically compression of a function f(x) is obtained by the transformation:
[tex]f(x)\rightarrow g(x)=\frac{1}{k}\cdot f(x).[/tex]Where k > 1 is the factor of compression.
In this case we have f(x) = |x| and k = 4. Applying the transformation above, we get:
[tex]g(x)=\frac{1}{4}\cdot|x|.[/tex]AnswerC.
[tex]g(x)=\frac{1}{4}|x|[/tex]I need the work and the right answer and explain what the mistake he made was
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The mistake was the inequalities sign that was changed .The inequality sign is not suppose to be greater than or equal to but it should be less than or equal to.
Determine the minimum and maximum value of the following trigonometric function.
f(x)=10sin(2/5x)+5
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ANSWER
[tex]\begin{gathered} Minimum=-5 \\ Maximum=15 \end{gathered}[/tex]EXPLANATION
The trigonometric function given is:
[tex]f(x)=10\sin (\frac{2}{5}x)+5[/tex]The minimum value a sine function can take is -1.
This means that the minimum value of the function is:
[tex]\begin{gathered} 10(-1)+5 \\ \Rightarrow-10+5 \\ \Rightarrow-5 \end{gathered}[/tex]The maximum value a sine function can take is 1.
This means that the maximum value of the function is:
[tex]\begin{gathered} 10(1)+5 \\ \Rightarrow10+5 \\ \Rightarrow15 \end{gathered}[/tex]A purse sells for $325. What was the original price of the purse if it is being sold at a 1625% markup?
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You have that the price of a purse is $325 with a 16.25% markup.
In order to determine what was the original price of the purse, you consider that the original price minus 16.25% of the unknown original price x is equal to 325.
Consider that the 16.25% of a quantity is simply the multiplication of (16.25/100) for such a quanity.
Then, you have:
x - (16.25/100)x = 325 "original price minus 16.25% of the original price"
calculate the quotient left side:
x - 0.1625x = 325
simplify like terms left side:
0.8375x = 325
divide by 0.8375 both sides:
x = 325/0.8375
x = 388.05
Hence, the original price of the purse was $388.05
Find the simple interest earned, to the nearest cent, for the principal, interest rate, and time.
$650, 5%, 1 year
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The daily interest rate, the principal, and the number of days between payments are multiplied to calculate simple interest.
The simple interest exists 32.5.
What is meant by simple interest?Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principal, and the number of days between payments are multiplied to calculate simple interest.
Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, so a creditor will only charge interest on the principal sum, and a borrower will never be required to pay additional interest on the interest that has already accrued.
Let the equation be I = Prt
where, P be the principal amount = $650
r be the interest rate = 5%
t be the time = 1 year
substitute the values in the above equation, we get
I = 650 × 0.05 × 1
I = 32.5
Therefore, the simple interest rate exists 32.5.
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You deposit $400 in an account that earns simple interest at an annual rate of 5%.
a. Write and graph a function that represents the amount (in dollars) of interest
earned after t years. Interpret the slope of the graph.
b. Is there enough money in the account after 4 years to buy a drum set that costs
$500?
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The answer of the given question based on simple interest is (a) The graph of this function is a straight line with a slope of 20. (b) There is not enough money in the account after 4 years to buy the drum set.
What is Simple interest?Simple interest is type of interest that is calculated on the principal amount (initial amount) of loan or investment. It is fixed percentage of principal, and does not take into account any interest earned or accrued over time.
a. The formula for simple interest is I = Prt, In this case, P = 400 and r = 0.05, so the function for the amount of interest earned after t years is:
I(t) = 400 * 0.05 * t = 20t
To graph this function, we can plot points for different values of t and connect them with a line. For example:
When t = 0, I(t) = 0
When t = 1, I(t) = 20
When t = 2, I(t) = 40
When t = 3, I(t) = 60
When t = 4, I(t) = 80
The graph of this function is a straight line with a slope of 20. The slope represents the rate of change of the interest earned per year. In this case, the slope is positive, which means that the interest earned increases linearly with time.
b. After 4 years, the interest earned is:
I(4) = 20 * 4 = 80
The total amount in account after 4 years will be:
A = P + I = 400 + 80 = 480
Since the cost of the drum set is $500, there is not enough money in the account after 4 years to buy the drum set.
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The regulation height of a basketball hoop is 10 feet. Let the location of thebasket be represented in the coordinate plane by the point (0, 10). Let the ballbe thrown at a 45° angle with the ground.1. Suppose Nancy is standing a horizontal distance of 10 feet from thebasket at the point (-10, 0), and she shoots a basket from 6 feet in theair with an initial velocity of 22 ft/s.Question 1)C. Will Nancy make the basket? Defend your reasoning.D. Use appropriate tools strategically. Experiment on yourcalculator with different direction angles until the player makes abasket. What angle did you use?
Answers
Answer:
(A): Using the equations of motion, we can determine the answer as follows:
[tex]\begin{gathered} x(t)=x_{\circ}+v_{\circ}cos(\theta)t\rightarrow(1) \\ \\ y(t)=y_{\circ}+v_{\circ}sin(\theta)-\frac{1}{2}gt^2\rightarrow(2) \\ \\ y(x)=xtan(\theta)-\frac{g}{2(v_{\circ})^2cos^2(\theta)}x^2\rightarrow(3) \end{gathered}[/tex]formula (3) is obtained from (1) and (2), using equation (3) the answer is determined as below:
[tex]\begin{gathered} y(x)=xtan(\theta)-\frac{g}{2(v_{\circ})^2cos^2(\theta)}x^2 \\ \\ v_{\circ}=22\text{ f/s} \\ \\ \theta=45 \\ \\ g=32.1522\text{ f/s} \\ \\ y(x)=xtan(45)-\frac{32.1522}{2\times22^2cos^2(45)}x^2 \\ \\ y(x)=x-\frac{32.1522}{2\times22^2cos^2(45)}x^2 \\ \\ y(x)=x-\frac{32.152,2}{484}x^2 \\ \\ y(x)=x-0.06643x^2 \\ \\ (x,y)\rightarrow\text{ Adjusting the position for the shift gives:} \\ \\ y(x)=[(x+10)-0.06643(x+10)^2]+6\rightarrow(4) \end{gathered}[/tex]The plot of the (4) reveals the following:
Therefore the answer is no.
(D) Trying a new angle theta = 60 degrees gives the following new answer:
Therefore the answer is:
[tex]\theta=60^{\circ}[/tex]Cual es la coordenada-y del punto C ? What is the y-coordinate of pint C ?
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The y co-ordinate of the point C is 13.
Given, the points are :
A (2,4) = (x₁,y₁)
B (10,10) = (x₂,y₂)
Ratio of the length AC to CB is 3:1.
⇒ 3:1 = m:n
⇒ section formula C = (mx₂-nx₁/m-n) , my₂-ny₁/m-n)
substitute the values.
⇒ C = (3(10)-1(2)/3-1 , 3(10)-1(4)/3-1)
⇒ C = (30-2/2 , 30-4/2)
⇒ C = (28/2 , 26/2)
⇒ C = (14 , 13)
Hence the y coordinate of C is 13.
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Multiply the following polynomials. Once simplified, name the resulting polynomial. (3x^2 - 4) (5x - 6)name:
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Cubic
Explanation:(3x² - 4) (5x - 6)
= 3x²(5x - 6) - 4(5x - 6)
Multiplication of same sign gives positive number. Multiplication of opposite signs give negative number.
= 15x³ - 18x² - 20x + 24
Naming polynomial base on the number of terms:
There are 4 terms in the polynomial above
4 terms is named polynomial of 4 terms
Naming by degree:
The highest degree (exponent) = 3
Polynomial with degree 3 is called cubic
So we can name the polynomial as cubic
Use the rules of exponents to evaluate and simplify the expression. Type all without negative exponents. Make sure “a”and “b” are both in parentheses
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We are given the following expression:
[tex](ab)^{-2}[/tex]First, we will use the following property of exponentials:
[tex](xy)^{-c}=x{}^{-c}y^{-c}[/tex]Applying the property we get:
[tex](ab)^{-2}=(a^{-2})(b^{-2})[/tex]Now, we use the following property of exponentials:
[tex]x^{-c}=\frac{1}{x^c}[/tex]Applying the property we get:
[tex](a^{-2})(b^{-2})=\frac{1}{(a^2)(b^2)}=\frac{1}{(ab)^2}[/tex]Since we can't simplify any further this is the final answer.
Algebra1B CP identify a nonviable solution and explain why it is nonviable within the context of the problem
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SOLUTION
Step 1 : Attached is the graph that shows the solutions of the two equations:
Step 2: We need the get the values of x and y in the two sets of the equations.
[tex]\begin{gathered} x\text{ + 2y }\leq\text{ 500 --equ 1 multiplied by 3 = 3 x + 6y }\leq\text{ 1500 ---equ 3} \\ 3x\text{ + 4y }\leq\text{ 1200 ---- equ 2} \\ \text{equ 3 minus equ 2, we have that :} \\ 6y\text{ - 4y }\leq\text{ }1500\text{ - 1200} \\ 2y\text{ }\leq\text{ 300} \\ \text{Divide both sides by 2 , we have that:} \\ y\text{ }\leq150 \\ \text{put y }\leq\text{ 150 in equ 1, } \\ x\text{ + 2y }\leq\text{ 500} \\ x\text{ + 2 (150 ) }\leq\text{ 500} \\ x\text{ + 300 }\leq\text{ 150} \\ x\text{ }\leq\text{ 500 - 300} \\ x\text{ }\leq\text{ 200} \end{gathered}[/tex]CONCLUSION: It means that the number of shirts, x = 200
while the number of pyjamas , y = 150
Gym membership is $45.75 a month. How much will the gym membership be for one year? If Sherrie budcets $550 for gym costs, will she have enough?
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Since a year has 12 months, we have to multiply the monthly membership cost by 12 to get the cost of a year's memberhsip:
[tex]45.75\times12=549[/tex]This way, the gym membership be for one year would be $549
Therefore, Sherrie would be able to pay for it with the $550 budget
answer step by step pleaseSteve determines that sides DK and BC are congruent. He also measures angle K and angle C and determines that they are congruent. He concludes that the triangles are congruent by SAS theorem. Is Steve correct?
Answers
Data Input
DK and BC are congruent.
Angle K and angle C are congruent.
Procedure.
To determine if the triangles are congruent median SAS, we need to know the size of one of the remaining sides
For them, we will measure the ED and AB sides using the Euclidean distance
[tex]d=\sqrt[]{(x2-x1)^2+(y2-y1)^2}[/tex]For ED
E = (-6, 4)
D = (0, 8)
[tex]\begin{gathered} ED=\sqrt[]{(-6-0)^2+(8-4)^2} \\ ED=\sqrt[]{6^2+4^2} \\ \\ ED=\sqrt[]{(36+16)} \\ ED=\sqrt[]{52} \end{gathered}[/tex]For AB
A = (3, 6)
B = (9, 10)
[tex]\begin{gathered} AB=\sqrt[]{(9-3)^2+(10-6)^2} \\ AB=\sqrt[]{6^2+4^2} \\ AB=\sqrt[]{36+16} \\ AB=\sqrt[]{52} \end{gathered}[/tex]Now, AB is equaled to ED
Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.
QuestionThe lid of a water bottle is a circle with a radius of 0.5 inches. Find a. The circumference of the lid. b. The area of the lid. Use 3.14 for pi.
Answers
Given in the question:
a.) The lid of a water bottle is a circle with a radius of 0.5 inches.
A.) The circumference of the lid.
Step 1: Since the lid is a circle, let's recall the formula for finding the circumference at a given radius.
[tex]\text{ C= 2}\pi r[/tex]Step 2: Let's plug in the r = 0.5 inches in the formula to get the circumference.
[tex]\text{ C= 2}\pi r[/tex][tex]\text{ C= 2(3.14)}(0.5)[/tex][tex]\text{ C= 3}.14\text{ inches}[/tex]Therefore, the Circumference of the lid is 3.14 inches.
B.) The area of the lid.
Step 1: Let's recall the formula for finding the area of a circle at a given radius.
[tex]\text{ A = }\pi r^2[/tex]Step 2: Let's plug in the r = 0.5 inches in the formula to get the area.
[tex]\text{ A = }\pi r^2[/tex][tex]A=(3.14)(0.5)^2[/tex][tex]\text{ A = 0.785 in.}^2[/tex]Therefore, the Area of the lid is 0.785 in.².
A particular color television has a rectangular screen with a 23.5 in. width. It’s height is 18.1 in. What is the length of the diagonal of the screen, to the nearest tenth of an inch? The diagonal of the screen is __ in.(Round to the nearest tenth as needed.)
Answers
Given:
A particular color television has a rectangular screen with a 23.5 in. width. It’s height is 18.1 in.
Required:
To find the length of the diagonal of the screen.
Explanation:
Let l be the length of the diagonal of the screen.
From the given data
[tex]\begin{gathered} l=\sqrt{23.5^2+18.1^2} \\ \\ =\sqrt{552.25+327.61} \\ \\ =\sqrt{879.86} \\ \\ =29.6624 \\ \\ l=29.7in \end{gathered}[/tex]Final Answer:
The length of the diagonal of the screen is 29.7in.
This is a 4 part question as u can see in directions please help I’m stuck on this question on my homework
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Given the function:
[tex]f\left(x\right)=3x-8[/tex]a) the inverse function is:
[tex]f^{-1}\left(x\right)=\frac{1}{3}(x+8)[/tex]So, we have two linear functions, which are one-to-one (every element of the function's codomain is the image of at most one element of its domain).
b) In order to graph both functions, keep in mind that f is a line with slope 3 and y-intercept at y = -8. As for f^{-1} it is a line with slope 1/3 and y-intercept at y = 8/3. You can simply graph both function on the same axes by calculating the values of f and f^{-1} given some values of x, for instance:
x = ..., -2 , -1, 0, 1, 2,...
f(x) =
f^{-1} =
As can be seen in the following graph: purple line represents f and pink line represents f^{-1}:
c) The domain and range of f(x) and f^{-1} is the same:
[tex]f:\text{ }\Re\rightarrow\operatorname{\Re}[/tex][tex]f^{-1}^:\text{ }\Re\rightarrow\Re[/tex]Can you please help me answer this question thank you if it’s A, B C or D
Answers
Concept
In probability theory, the central limit theorem establishes that, in many situations, when independent random variables are summed up, their properly normalized sum tends toward a normal distribution even if the original variables themselves are not normally distributed.
Given:
period of record = 5 years
mean daily revenue = $5400
Standard deviation = $54
We want to identify which of the options perfectly describes the sampling distribution of the sample mean supposing that 36 days are randomly selected.
Using the central limit theorem, we know that regardless of the distribution one samples from if the population mean and standard deviation are:
[tex]\begin{gathered} population\text{ mean (}\mu) \\ \text{Standard devaition (}\sigma) \end{gathered}[/tex]then, the mean is approximately normally distributed and has a value equal to the population mean, while the standard deviation of the sample means is:
[tex]\frac{\sigma}{\sqrt[]{n}}[/tex]Hence the standard deviation of the sample means is:
[tex]\begin{gathered} =\text{ }\frac{54}{\sqrt[]{36}} \\ =\text{ \$9} \end{gathered}[/tex]We can conclude that the distribution is normal with a mean of $5400 and a standard deviation of $9
Answer: Option B
Letℎ()h(x)be the inverse of()f(x). Ifℎ()=−4+1h(x)=−4x+1, which of the following represents()f(x)?
Answers
In order to find f(x), we need to calculate the inverse of h(x)
[tex]h(x)=-4x+1[/tex]y=h(x)
[tex]y=-4x+1[/tex]We substitute x with y and y with x
[tex]x=-4y+1[/tex]Then we isolate the y
[tex]4y=-x+1[/tex][tex]y=-\frac{1}{4}x+\frac{1}{4}[/tex]ANSWER
f(x) is
[tex]f(x)=-\frac{1}{4}x+\frac{1}{4}[/tex]The correct choice is the first one
Write an equation in slope-intercept form for the line perpendicular to the given line that passes through the origin. y = 11/5 x + 7
Answers
y = 11/5 x + 7
Slope intercept form:
y=mx+b
Where:
m= slope
b= y-intercept
So, for the line given:
m= 11/5
b= 7
Perpendicular lines have negative reciprocal slopes.
negative reciprocal of 11/5 = -5/11
Slope = -5/11
So far we have:
y= -5/11 + b
Since it passes through the origin (0,0) replace and solve for b:
0= -5/11(0) +b
b=0
Final expression:
y= -5/11x
how do I know where which choices below go into the correct blanks?
Answers
In a 30-60-90 special right triangle, we have the following.
If the short leg is 7 cm, then x = 7.
So, the hypotenuse would be
[tex]h=2x=2(7)=14\operatorname{cm}[/tex]The length of the long leg is
[tex]x\sqrt[]{3}=7\sqrt[]{3}\approx12.12\operatorname{cm}[/tex]Therefore, the hypotenuse is 14 cm, and the long leg is 12.12 cm, approximately.Cam decided to rent a storage unit to store his sailboat. The mast of the boat is 20 feet long. The storage unit is 4ft by 8ft by 19ft. Will the mast fit in the storage unit?A. YesB. No
Answers
Step 1
Find the volume of the storage
[tex]Length\times width\times height[/tex]From the data given the storage could have a height of 4ft or 8ft or 19ft. The mast of the sailboat is 20 feet long. This means that no matter which of the measurements is the height of the store, the mast of the sailboat will not fit in because it is longer than all those heights.
Therefore, the answer will be;
No the storage unit is too small to fit the mast of the sailboat
What is the perimeter of a triangle with coordinates A (-1, 5), B (-1, 1), and C (2, 1)?
A. 12 units
B. 6 units
C. 24 units
D. 20 units
Helppp
Answers
Centroid: CG[0; 2.333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[-0; 1]
Exterior (or external, outer) angles of the triangle:
∠ A' = α' = 143.13° = 143°7'48″ = 0.644 rad
∠ B' = β' = 90° = 1.571 rad
∠ C' = γ' = 126.87° = 126°52'12″ = 0.927 rad
Let f(x)=x^2 and g(x)=x-3. Find (f o g)(-5)
Answers
Solution
Given that
[tex]\begin{gathered} f(x)=x^2 \\ \\ g(x)=x-3 \\ \\ \Rightarrow(f\circ g)(-5)=f(g(-5)) \\ \\ g(-5)=-5-3=-8 \\ \\ \Rightarrow f(g(-5))=f(-8) \\ \\ f(-8)=(-8)^2=64 \\ \\ \Rightarrow(f\circ g)(-5)=64 \end{gathered}[/tex]AABC is isosceles.mZA = 3x + 40 and mZC = x + 50BAmZA= [ ? 1°
Answers
ANSWER:
The value of the angle A is 55°
STEP-BY-STEP EXPLANATION:
Angles opposite equal sides are angles that are also equal.
Therefore, in this case A and C are equal angles, therefore we can do the following equation:
[tex]\begin{gathered} A=C \\ 3x+40=x+50 \end{gathered}[/tex]Solving for x:
[tex]\begin{gathered} 3x-x=50-40 \\ 2x=10 \\ x=\frac{10}{2} \\ x=5 \end{gathered}[/tex]Now we replace the value of x, in A and we are left with:
[tex]\begin{gathered} A=3\cdot5+40 \\ A=15+40 \\ A=55 \end{gathered}[/tex]I'm kinda confused on this question. here it is "if a= 8, b = 4, and c=10 what is (b+c) the answers given to me are22112320and 2560.
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Find the area of parallelogram ABJF. The area is _ square units simplify your answer
Answers
We solve as follows:
*We cam see that both segments FJ & AB have a length ofngth of