What is the equation of the function
shown in the graph, given that the
equation of the parent function is
f(x) = (-/-)² ?
(}})
Answers
The equation of the function shown in the graph is f(x) = (-2x)^2.
What is function?In mathematics a function is a relation between two states that assigned to each element of the first set exactly one element of the second set in order words it is the rule that is describe how unstead of values is related to another set a values function are used to model real voice scenario and to solve mathematical problems example of function include linear equation polynomials and trigonometric function.
This is based on the equation of the parent function, which is f(x) = (-/-)^2. The graph shows that the function has been shifted two units to the left, which is why the coefficient of x is -2 instead of -1.
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Related Questions
Desarrolla el siguiente cuadrado de binomio (2x³ - 6x)²
Answers
Answer:
\(4x^{6} - 24x^{4} + 36x^{2}\)
Step-by-step explanation:
The product of (a + b)(a − b) is a perfect square trinomial. (1 point)
a
Sometimes
b
Always
c
Never
Answers
Step-by-step explanation:
step 1. (a + b)(a - b) = a^2 - ab + ab - b^2 = a^2 - b^2.
step 2. this is always a binomial and never a trinomial and hence never a perfect square trinomual.
step 3. answer: never.
Which value would complete the table to make the relationhip between the two quantitie proportional?
x 1 2 3 4 5
y 26. 8 53. 6 ? 107. 2 134
Answers
The value that would complete the table to make the relationship between the two quantity proportional is 4.
what is quantity proportional?When two quantities are proportional, their relationship is constant for all values and as one quantity rises, the other rises as well.
A proportional relationship exists between two quantities if they can be written in the general form y = kx, where k is the proportionality constant. In other words, the ratio between these amounts never changes. In other words, no matter which pair of the two numbers you divide, you always obtain the same number k.
The value that would complete the table to make the relationship between the two quantity proportional is 4.
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Use technology to find points and then graph the function y=(1/2)^x-4, following the instructions below
Answers
Because the equation of the asymptote is given as y = -4, the points on the function y = (1/2)ˣ -4 are:
Vertical Aymptote : x = 0
y-intercept: (0,3)
x-intercept: (-2.32, 0). See the attached graph.
How is the above derived ?
As x approaches zero and the base of the exponent in y = ((1/2)ˣ - 4 becomes increasingly small, the function value approaches infinity from the right side while simultaneously approaching zero from the left side.
This phenomenon is known as a vertical asymptote at x=0.
Note that the in the function:
y = (1/2)ˣ -4 , where x = 0
y = y(1/2)^0 - 4
y = 1 - 3
y = -3
Hence the y intercept is -3
To dertive the x-intercept,
we set y to zero.
0 = (1/2)^x -4
(1/2)^x = 4
Using Log we can solve x to be = -2.32
Thus, it is correct to state that the points are:
Vertical Asymptote : x = 0
y-intercept: (0,3)
x-intercept: (-2.32, 0).
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What is the value of x + y(3 − x) when x = −5 and y = 3?
Answers
Answer:
19
Step-by-step explanation:
x + y(3 − x)
Let x = -5 and y = 3
-5 +3(3 - -5)
Subtracting a negative is like adding
-5 +3(3+5)
Parentheses first
-5 +3(8)
Multiply
-5+24
Subtract
19
19
Step-by-step explanation:
x + y(3 - x) x = -5 y = 3
Step 1. Substitute x for -5 and y for 3
(-5) + (3)(3 - (-5))
Step 2. Solve for (3 - (-5))
(-5) + (3)(8)
Step 3. Multiply 3 and 8
(-5) + 24
Step 4. Add -5 and 24
(-5) + 24 = 24 + -5 = 19
What property of adaptive immunity allows a person to have the chicken pox when he or she is six years old and still be immune to chicken pox at age 45?
Answers
The property of adaptive immunity enables a person to have the chicken pox when he or she is six years old and still be immune to chicken pox at age 45 exists Memory.
What is adaptive immunity?Specificity and memory are two crucial properties that determine adaptive immunity. Both specificity and memory pertain to the adaptive immune system's capacity to recognize and attack certain diseases, as well as to promptly react to pathogens to which it has already been exposed.
Adaptive immunity can offer an enduring defense, perhaps for the duration of a person's lifespan. In certain circumstances, such as with chickenpox, it does not confer permanent protection; for instance, a person who recovers from measles is now protected against measles for the rest of their life.
Specificity, diversity, specialization, memory, and self/non-self identification are the immunologic characteristics that define adaptive immunity, and these cells both create and show antigen-binding cell surface receptors.
The property of adaptive immunity enables a person to have the chicken pox when he or she is six years old and still be immune to chicken pox at age 45 exists Memory.
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What is 12 times 135?
Answers
the answer for 135 times 12 is 1620
Answer:
1620
Step-by-step explanation:
u can time 12 by 135 or divide them
0.800 in fraction form
Answers
Answer:8/
Step-by-step explanation: It is because any number after decimal point contains zero at it's end then the number is considered as it is. For example here 0.800 so after decimal point is 8, and after 8 there are zero's. So numerically, it is 0.8 or 0.800 both are same . Hence it's fraction form would be 8/ 10.
Answer:
4/5
Step-by-step explanation:
0.800 = 800/1000 = 8/10 = 4/5
What is the value of the expression when a=4 and b=3?
4a + b – 5
A) 2
B) 6
C) 7
D) 14
Answers
You have three numbers. two of the numbers are 24 and 42. what is the gcf of these two numbers? the third number is grater tan 42 and does not change the gcf. what is one possibility for the third number?
Answers
If two of the three numbers are 24 and 42, then the GCF of these two numbers is 6 and the third number is possibly 48.
Factor is a number which when a number is divided will result to another number(whole). For two or more numbers, the largest common factor that they have is called the Greatest Common Factor (GCF).
To find the GCF of 24 and 42, list all the factors of both numbers.
24 : 1, 2, 3, 4, 6, 8, 12, 24
42: 1, 2, 3, 6, 7, 14, 21, 42
Common Factors: 1, 2, 3, 6
Greatest Common Factor: 6
If the third number is grater than 42 and does not change the GCF, then the third number is possibly 48.
24 : 1, 2, 3, 4, 6, 8, 12, 24
42: 1, 2, 3, 6, 7, 14, 21, 42
48 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Common Factors: 1, 2, 3, 6
Greatest Common Factor: 6
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Please help me with this question! :)
Will mark brainliest
Answers
Answer:
10
Step-by-step explanation:
y = 3(5) - 5 multiply 3 and 5
y = 15 - 5 subtract 5 from 15
y = 10 10 is the output
hope this helps!
Calculate the profits for company Econislife based on the figures in the table below. What is the profit-maximizing level of output? What is the profit at this quantity? Econislife Total Revenue and Total Cost Quantity (Q) Total Revenue (TR) Total Costs (TC) 1 $28 $40 2 $56 $45 3 $84 $55 4 $112 $72 5 $140 $120
Answers
Based on the given table, the profit-maximizing level of output for company Econislife is 4 units. At this quantity, the company's profit is $40.
To determine the profit-maximizing level of output, we need to analyze the relationship between total revenue (TR) and total costs (TC) for different quantities of output. The profit can be calculated as the difference between total revenue and total costs.
Looking at the table, we can see that as the quantity increases from 1 to 5, both total revenue and total costs increase. However, at a certain point, the increase in total costs outpaces the increase in total revenue, leading to a decrease in profit.
To find the profit-maximizing level of output, we compare the profits at different quantities.
Quantity 1: TR = $28, TC = $40, Profit = TR - TC = $28 - $40 = -$12
Quantity 2: TR = $56, TC = $45, Profit = TR - TC = $56 - $45 = $11
Quantity 3: TR = $84, TC = $55, Profit = TR - TC = $84 - $55 = $29
Quantity 4: TR = $112, TC = $72, Profit = TR - TC = $112 - $72 = $40
Quantity 5: TR = $140, TC = $120, Profit = TR - TC = $140 - $120 = $20
From the above calculations, it is evident that the profit is highest at Quantity 4. Therefore, the profit-maximizing level of output for company Econislife is 4 units. At this quantity, the company's profit is $40.
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Two parallel chords in a circle have lengths 10 and 14, and the distance between them is 6. The chord parallel to these chords and midway between them is of length $\sqrt{a}$. Find $a$.
Answers
The value of a is 184. The above solution is derived using Pythagoras' theorem .
by using Pythagoras' theorem we will get 3 equations
\(x^2 + 7^2 = r^2\)\((3-x)^2 + (\frac{\sqrt{a}}{2}) ^2 = r^2\)\(5^2 + (3+ (3- x))^2 = r^2\)now equating 1 and 3 equations we will get,
\(x^2 + 7^2 = 5^2 + (3+ (3- x))^2\)
\(x^2 + 7^2 = 5^2 + (6^2+ x^2 + 12x)\)
after solving this equation we get x = 1
now putting the value of x in equation 1 we get
\(r^2 = x^2 + 7^2\\r^2 = 1 + 49\\r^2 = 50\)
now putting the value of r in equation 2 we get
\((3-x)^2 + (\frac{\sqrt{a}}{2}) ^2 = r^2\)
\((3-1)^2 + (\frac{\sqrt{a}}{2}) ^2 = 50\)
on solving the equation, we get
a = 184
What is Pythagoras' theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a fundamental relationship between a right triangle's three sides in Euclidean geometry.According to this rule, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse, or the side across from the right angle.To learn more about Pythagoras' theorem with the given link
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PLZ HELP! I WILL GIVE BRAINLIEST
Answers
Answer:
hi so can you explain it better i will know what to do thanks i will let you know when i have it
Step-by-step explanation:
Answer:
both are parallel to each other
Step-by-step explanation:
Please help this is due today ;-;
Answers
48 ounce bag of granola each month how many pounds if granola does she eat each year
Answers
Answer:
12 months = 1 year48 ounce bag of granola per month.
T = 48x
Where 'x' represents the months.
Replace x with 12, because we want to know how many ounces she eats each year.
T = 48x
T = 48(12)
T = 576 ounces, she eats each year.
What's 200×8797 and rate my L drawing
Answers
Answer:
1759400
I like that a lot actually !!
Step-by-step explanation:
Have A Wonderful Day !!
3x + 2 for x = 5 plz
Answers
3x + 2
3 (5) +2
15 + 2
1739 A gear is to be manufactured from iron powders. It is desired that it have a final density 90% that of cast iron, and it is known that the shrinkage in sintering will be approximately 5%. For a gear that is 75 mm in diameter and has a 20-mm hub, what is the required press force? 17.40 What volume of powder is needed to make the gear in Problem 11.39?
Answers
The answer is 0.00068 m³.
Density = Final Density/ (1 - Shrinkage)
Therefore, the Final density of the gear = Density x (1 - Shrinkage)
The final density of the gear = 6.5 x 10^3 kg/m^3 x 0.95 = 6175 kg/m^3
Let V be the volume of the gear, and ρ be the density of the powder.
Then, Mass of the gear = Volume x Density
Mass of the gear = V x ρFinal mass of the gear = Mass of the gear / (1 - Shrinkage)
Final mass of the gear = V x ρ / (1 - Shrinkage)
Density of the gear = Final mass of the gear / Final volume of the gear
The density of the gear = (V x ρ / (1 - Shrinkage)) / (V / (1 - Shrinkage))
Density of the gear = ρ
Therefore,ρ = Final density of the gear = 6175 kg/m³
Hence,Volume of the gear = Mass of the gear / Density of the powderVolume of the gear = 0.91 kg / 6.5 x 10³ kg/m³Volume of the gear = 0.00014 m³
Let Vp be the volume of the powder.
Then,Volume of the powder = Vp - Volume of the gearVolume of the powder = Vp - 0.00014 m³
Also, the mass of the powder is given as: Mass of the powder = Volume of the powder x Density of the powder
Mass of the powder = Vp ρ
Hence, the required volume of powder to make the gear is (Vp - 0.00014 m³) which is 0.00068 m³ or 680 cm³ (approx).
Therefore, the answer is 0.00068 m³.
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please help asap will give brainliest
Answers
Answer:
its B i think
Step-by-step explanation:
djcjudhdjej
The larger of two numbers is 7 more than 5 times the other. Their sum is 55. Find the two numbers.
Answers
Answer:
Step-by-step explanation:
8 and 47
If Ax + By = Cz
If A, B, C, x, y, and z are all positive integers then A, B, and C should all have a common prime factor.
A common prime factor means that each of the numbers needs to be divisible by the same prime number. So 15, 10, and 5 all have a common prime factor of 5 (they're all divisible by the prime number 5).
So far, so simple, and it looks like something you would have solved in high school algebra.
But here's the problem. Mathematicians haven't ever been able to solve the Beale conjecture, with x, y, and z all being greater than 2.
For example, let's use our numbers with the common prime factor of 5 from before….
51 + 101 = 151
but
52 + 102 ≠ 152
Answers
Answer: the common number is 8 for 151 and 152
Step-by-step explanation: hope this helps
Help me on this please I’d appreciate it
Answers
Answer:
27.7 (rounded)
Step-by-step explanation:
This makes no sense to me.
Answers
Answer:
angle NRT is 115 degrees
Step-by-step explanation:
NRT is 15 degree because the two triangles are congruent so you add up the degrees of the other angles and you subtract that number from 180. soooo...
28+37 = 65
and
180-65= 115
so your answer is 115.
it takes edna 23 minutes to drive to jake’s party. if she needs to be there at 2:30, what time should she leave
Answers
Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM
To determine the time Edna should leave, we need to subtract the travel time from the desired arrival time.
If Edna needs to be at Jake's party at 2:30 PM and it takes her 23 minutes to drive there, she should leave 23 minutes before 2:30 PM.
To calculate the departure time, we subtract 23 minutes from 2:30 PM:
2:30 PM - 23 minutes = 2:07 PM
Therefore, Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM
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The ratio of the measure of two supplementary angles is 15:21. What is the measure of the smallest angle?
Answers
Answer:
75
Step-by-step explanation:
The measure of two supplementary angles = 15:21
The angles are 15x , 21x
15x + 21x = 180 {Supplementary}
36x = 180
x = 180/36
x = 5
Smallest angle = 15 * 5 = 75
Assuming that the distribution of returns is volatile over time and that periodic returns are not independent of one another, which of the following is the best estimator of expected return? Geometric
Answers
The geometric mean is the better estimator of expected return in situations where there is volatility and correlation among returns.
The best estimator of expected return when the distribution of returns is volatile over time and periodic returns are not independent of one another is the geometric mean.
The geometric mean takes into account the compounding effect of returns over time and is therefore a more appropriate measure for estimating expected returns in situations where returns are not independent of one another.
In contrast, the arithmetic mean assumes that returns are independent and identically distributed over time, which may not be the case in volatile markets where returns are correlated and subject to fluctuations. As a result, the arithmetic mean may provide an overly optimistic or pessimistic estimate of expected returns, depending on the magnitude and direction of these fluctuations.
Therefore, the geometric mean is the better estimator of expected return in situations where there is volatility and correlation among returns.
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The graph of a quadratic function having the form f(x) = ax? + bx + c passes
through the points (0, -8), (3, 10), and (6,34). What is the value of the function
when x = -3?
Answers
Answer:
f(-3) = -20
Step-by-step explanation:
We observe that the given x-values are 3 units apart, and that the x-value we're concerned with is also 3 units from the first of those given. So, a simple way to work this is to consider the sequence for x = 6, 3, 0, -3. The corresponding sequence of f(x) values is ...
34, 10, -8, ?
The first differences of these numbers are ...
10 -34 = -24
-8 -10 = -18
And the second difference is ...
-18 -(-24) = 6
For a quadratic function, second differences are constant. This means the next first-difference will be ...
? -(-8) = -18 +6
? = -12 -8 = -20
The value of the function at x=-3 is -20.
_____
The attachment shows using a graphing calculator to do a quadratic regression on the given points. The graph can then be used to find the point of interest. There are algebraic ways to do this, too, but they are somewhat more complicated than the 5 addition/subtraction operations we needed to find the solution. (Had the required x-value been different, we might have chosen a different approach.)
attachment help asap
Answers
Answer:
D, C, A, B
Step-by-step explanation:
Find common factor:
60 is the common denominator
2/5=24/60
2/3=40/60
1/4=15/60
1/10=6/60
Answer:
A. 2/5 = 0.4
B. 2/3 = 0.66
C. 1/4 = 0.25
D. 1/10 = 0.1
Arranging them in the box we have
D , C , A , B
Since D is the smallest followed by C followed by A followed by B which is the largest
Hope this helps
How many F ratios (i.e. F statistic values) are figured in a two-way analysis of variance known as a 2x2 Factorial Design?
a) as many as there are cells in the design
b) 2
c) 3
d) 1
Answers
Therefore, the correct answer is c) 3, as there are three F ratios calculated in a 2x2 factorial design.
How many F ratios in a 2x2 Factorial Design?In a two-way analysis of variance (ANOVA) known as a 2x2
factorial design, there are three F ratios or F statistic values calculated. This design involves two independent variables, each with two levels or categories.
The three F ratios represent the main effects of each independent variable and the interaction between the two variables.The main effects F ratios determine whether there are significant differences between the levels of each independent variable individually, ignoring the other independent variable.
There will be two main effects F ratios, one for each independent variable.The interaction F ratio examines whether there is a significant interaction between the two independent variables. It determines whether the effect of one independent variable differs across the levels of the other independent variable.
This F ratio assesses the joint influence of both independent variables.
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