Answer:
Option A is correct.
Step-by-step explanation:
Given terms,
1 , 4 , 16 , 64 , 256.
If we observe the equation, we can easily say that the terms are getting multiplied by 4 to get the next one.
Since this equation has a common ratio, this can be solved by using the properties of geometric progressions.
From the properties of geometric progressions :
nth term = a r^( n - 1 ) , where a is the first term, r is the common ratio between the terms and n is the number of terms.Here,
Common Ratio ( or r ) = any term( except first ) / previous terms = 64 / 16 = 16 / 4 = 4
First terms = 1
Therefore,
= > Next term should be : 1 x ( 4 )^( 6 - 1 ) { Since next term will be 6th term }
= > Next term = 1 x 4^5
= > Next term = 1024
Hence the required next term is 1024.
Option A is correct.
Or
Here we can see that the terms are written in the form of 4^n where n is any whole number.
Since 246 is 4^4 , and terms are increasing in order of 1, next term should be 4^5 i.e. 1024 .
Thus, option A is correct.
Answer:
A
Step-by-step explanation: you times each one by 4
Which best describes the graph of the function f(x) = 4(1.5)"?
The graph passes through the point (0,4), and for each increase of 1 in the x-values, the y-values increase by 1.5.
The graph passes through the point (0,4), and for each increase of 1 in the x-values, the y-values increase by a factor of
1.5.
The graph passes through the point (0, 1.5), and for each increase of 1 in the x-values, the y-values increase by 4.
The graph passes through the point (0, 1.5), and for each increase of 1 in the x-values, the y-values increase by a factor of
Answer:
2nd one
Step-by-step explanation:
I think I'm understanding your function to be f(x)=4(1.5)^x.
It goes through (0,4) becuase when x=0, you have y=4(1.5)^0=4(1)=4.
It also increases by a factor of 1.5 each time x goes up by 1.
Example: When x=1, you have 4(1.5)^1=4(1.5)
Another example: When x=2, you have 4(1.5)^2=4(1.5)(1.5).
Those are called factors because the operation is multiplication.
Answer:
b
Step-by-step explanation:
In the diagram, the measure of angle 9 is 85° Which angle must also measure 85°?
Answer:
this is the diagram
Step-by-step explanation:
Answer:
11 has 85° because it is opposite to 9
Step-by-step explanation:
I want all numbers whose absolute value is
2
Answer:
Hi there!
The answer is: 2 and -2
Step-by-step explanation:
Case 1: An absolute value of positive number will still be a positive number
so absolute value of 2 is 2
Case 2: An absolute value of negative number will be positive number so absolute value of -2 is 2
Answer:
The Absolute Value of Both 2 and -2 is 2
Step-by-step explanation:
An Absolute Value (abs) is the non-negative value of that number or to put it in other words, it is the amount of space between that number and 0 on a number line. Every Absolute Value other than 0 has two values (a positive and a negative) since the Absolute Value is always a positive. For Example,
abs(-2) = 2 = abs(2) ......The Absolute Value of both 2 and -2 is 2
abs(-75) = 75 = abs(75) .... The Absolute Value of both 75 and -75 is 75
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
Identify an equation in point-slope form for the line perpendicular to y = -1/3x - 6 that passes through (-1, 5).
A. y + 1 = 3(x - 5)
B. y + 5 = 1/3(x - 1)
C. y - 5 = -1/3(x + 1)
D. y - 5 =3(x + 1)
Answer:
D. y - 5 =3(x + 1)
Step-by-step explanation:
y = -1/3x -6
The slope is -1/3
Take the negative reciprocal to find the slope of the line that is perpendicular
- (-3) = 3
The slope would be 3
We have the slope and a point
Using point slope form
y-y1 = m(x-x21)
y-5 = 3(x--1)
y-5 = 3(x+1)
Answer:
D. y - 5 =3(x + 1)
Step-by-step explanation:
Given equation of line:
[tex]y = -\frac{1}{3}x-6[/tex]
Comparing it with the standard form of equation of line
y=mx+b
m = -1/3
Let m1 be the slope of line perpendicular to the given line.
We know that the product of slopes of two perpendicular lines is -1.
[tex]m*m_1 = -1\\-\frac{1}{3} * m_1 = -1\\ m_1 = -1 * -\frac{3}{1}\\ m_1 = 3[/tex]
The equation of line in point slope form is:
[tex]y-y_1 = m(x-x_1)[/tex]
where x_1 and y_1 is the point from which the line passes.
So, putting the values of slope and point,
[tex]y-5 = 3[x-(-1)]\\y-5=3(x+1)[/tex]
Option D is correct ..
Mail-order pharmacies typically use machines to count pills and dispense them into bottles, particularly pills that are prescribed on a regular basis by physicians, such as blood pressure medicine, cholesterol medicine, and diabetes medicine. Suppose a pharmacy has two pill counters that work in tandem (together). The batch of blood pressure pills in 1 hour, and the second counter can finish the same batch in 40 minutes. How many minutes should it take to finish a typical batch if both pill counters work together?
A) 18
B) 24
C) 36
D) 50
Answer:
B. 24
Step-by-step explanation:
it takes 60 minutes for one and 40 for another. since you don't know the time. the denominator is going to be x. The equation to solve this problem will be x/60 + x/40 = 1. Since you're adding, you want to have the same denominator. ( i chose to do 120) this will change the problem to 2x/120 + 3x/120 = 1. which will simplify to 5x/120=1. Multiply each side by 120 to get 5x=120 and divide each side by 5 to get x=24.
Carrie made 127 brownies and packed 13 in each box. How many boxes are
packed and how many brownies are left over?
Help me plz
Answer:
9 boxes were packed. 10 brownies were left over.
Step-by-step explanation:
127 ÷ 13 = 9 R10
13 x 9 = 10 x 9 + 3 x 9 = 90 + 27 = 117
127 - 117 = 10
The graph of the even function f(x) has five x-intercepts. If (6, 0) is one of the intercepts, which set of points can be the other x-intercepts of the graph of f(x)? (–6, 0), (–2, 0), and (0, 0) (–6, 0), (–2, 0), and (4, 0) (–4, 0), (0, 0), and (2, 0) (–4, 0), (–2, 0), and (0, 0)
Answer:
(0,0) (-6,0), (-2,0)
Step-by-step explanation:
Answer:
The correct choice is A. (-6,0), (-2,0) and (0,0).
Step-by-step explanation:
Consider the provided information:
The provided function f(x) is an even function and has 5 x-intercept.
Therefore,
f(x) = f(-x)
Thus, there will be positive and negative pairs of zeros.
As it is given that the x intercept is at (6,0). Therefore, the another x intercept will be on (-6,0).
If there are an odd number of intercepts and function is even then, (0,0) will be the x intercept because of its own negation.
The only choice with (-6,0) and (0,0) is A.
Therefore, the correct choice is A. (-6,0), (-2,0) and (0,0).
* PLZ ANSWER QUICK* The correlation coefficient between two quantitative variables is approximately 0.6. What does the value of this correlation coefficient indicate about how well the model fits the data? ANSWER CHOICE'S
A.
The model is not a good fit.
B.
The model is a good fit.
C.
The correlation coefficient is not within the correct range.
D.
No conclusion can be drawn regarding how well the model fits the data.
Answer:
A.
The model is not a good fit.
Step-by-step explanation:
The correlation coefficient is a measure of the degree of association between two quantitative variables , such as weight and height.
On the other hand, the quantity R-squared is an indicator of the predictive power of a model. It is an indicator of how well the model fits the data. R-squared is the coefficient of determination.
R-squared = the square of the correlation coefficient
= 0.6 * 0.6
= 0.36
Therefore, only 36% of the variations in the dependent variable can be explained by the model. More than 50% can thus not be explained by the model. The model is thus not a good fit.
Answer:
A the model is not good
Step-by-step explanation:
Consider the equation below. log_4( x + 3 )= log_2 (2 + x ) Which system of equations can represent the equation?
i need answer asap for edg
To solve the logarithmic equation with different bases, one must recognize the importance of base conversion and utilize logarithmic properties to guide conversion or comparison, not just directly equate the logarithmic arguments, which was a misunderstanding.
Explanation:To solve the equation log_4(x + 3) = log_2(2 + x), we need a system that represents this equation effectively by considering logarithmic properties and base conversion.
Steps for Solving the Equation
Recognize that both sides of the equation are logarithms, which implies their arguments must be equal if their outputs are equal. Thus, it means x + 3 = 2 + x.
This simplification does not directly solve our original equation due to the different bases of the logarithms. We utilize the property that allows us to convert between bases: log_a(b) = log_c(b) / log_c(a), specifically focusing on changing base 4 logarithm to base 2.
We apply this to convert log_4(x + 3) to a base 2 logarithm, yielding a new equation: log_2(x + 3)/log_2(4) = log_2(2 + x).
Since log_2(4) = 2, the equation simplifies to 0.5 * log_2(x + 3) = log_2(2 + x).
This step reveals that the initial transformation inadvertently simplified through a direct comparison, which doesn't correctly express the conversion between bases or the nature of the original problem.
To correctly translate the given logarithmic equation into a system of equations, acknowledge that the original task was misunderstood in Step 1, as it did not account for the different log bases and their properties.
Instead, consider equations that capture the essence of converting bases or applying logarithmic identities to derive a solution.
A more accurate representation would involve recognizing the base conversion and understanding that without a direct means of converting or equating the logarithms due to their different bases and the variables involved, it does not straightforwardly lead to a solvable system without further information or manipulation that squarely addresses the base disparity.
3.
Clara goes miniature golfing. She pays $7.50
for an admission ticket and $6.25 for each
round she golfs. The total amount Clara pays
for admission and the number of rounds she
golfs is $26.25. Which equation can be used to
determine the number of rounds, x, that Clara
golfs?
A 6.25 x + 7.50 = 26.25
B 6.25x - 7.50 = 26.25
C 7.50x + 6.25 = 26.25
D 7.50x - 6.25 = 26.25
Answer:
[tex]6.25x+7.50=26.25[/tex]
Clara played 3 rounds of golf.
Step-by-step explanation:
The admission fee is = $7.50
Let the number of rounds be = x
Each round costs = $6.25
Total money Clara paid = $26.25
We can denote this in equation form as:
[tex]6.25x+7.50=26.25[/tex]
Now we will solve for x
[tex]6.25x=26.25-7.50[/tex]
=> [tex]6.25x=18.75[/tex]
=> x = 3
Hence, Clara played 3 rounds of golf.
The equation used to determine the number of rounds, x, that Clara golfs is 6.25x + 7.50 = 26.25
Equation
An equation is an expression that is used to show the relationship between two or more variables and numbers.
Let x represent the number of rounds that Clara golfs.
The total amount Clara pays for admission and the number of rounds she golfs is $26.25, hence this is given by:
6.25x + 7.50 = 26.25The equation used to determine the number of rounds, x, that Clara golfs is 6.25x + 7.50 = 26.25
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Indicate the formula for the following conditions.
P(X | Y)
You want the formula for conditional probability.
P(X | B) = (X and Y)/P(Y)
Final answer:
P(X | Y) = P(X and Y) / P(Y).
Explanation:
The formula P(X | Y) represents the probability of event X occurring given that event Y has already occurred.
This concept is often used in the context of conditional probability, which differs from the calculation of independent events where the probability of both events X and Y occurring is simply the product of their individual probabilities, denoted as P(X) · P(Y).
When events are not independent, to find the conditional probability P(X | Y), you would typically use the formula
P(X | Y) = P(X and Y) / P(Y),
where
P(X and Y) is the joint probability of events X and Y occurring together, and
P(Y) is the probability of event Y occurring.
QUICK HELP
Translate "x is 12 units from 20" into an equation. What are the values of x being described?
If you can answer any of my other questions that'd be great too
If x is 12 units away from 20 it is either 20-12 or 20+12 so the two possibilities would be 8 or 32
Hope this helps!!
The equation is x = 20 + 12 or x = 32 if "x is 12 units from 20" into an equation here x is the real number.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Translate "x is 12 units from 20" into an equation.
Here x is a real number.
The linear equation can be framed as follows:
x = 20 + 12
x = 32
Thus, the equation is x = 20 + 12 or x = 32 if "x is 12 units from 20" into an equation here x is the real number.
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How do you solve -3(22+6)=-30
Answer:
Solve the equation inside the parentheses
-3(28) = -30
Multiply the constants
-84 = -30
The equation is false because -84 ≠ -30. So, the equation is false
A number cube has the numbers 1, 2, 5, 5, 6, and 6 on its faces. Match the probability with the outcome. 1. P(5 ∪ 6) 2. P(2 ∪ 5 ∪ 6) 3. P(1 ∪ 2) 4. 0 P(4)
Answer:
1. P(5 U 6) =2/3
2. P(2 U 5 U 6) = 5/6
3. P(1 U 2) = 1/3
4. P(4) = 0
Step-by-step explanation:
As the number cube has 6 sides,
So,
Total outcomes = {1,2,5,5,6,6}
n(S) = 6
Now,
1. P(5U6) = P(5) + P(6)
P(5)=2/6=1/3
P(6)=2/6=1/3
P(5U6)= 1/3 + 1/3 = 2/3
2. P(2 U 5 U 6) = P(2) + P(5) + P(6)
P(2)=1/6
P(5)=2/6
P(6)=2/6
P(2 U 5 U 6) = 1/6 + 2/6 + 2/6
= 5/6
3. P(1 U 2) = P(1) + P(2)
P(1) = 1/6
P(2)= 1/6
P(1 U 2) = 1/6 + 1/6
= 2/6 = 1/3
4. P(4) = 0
As 4 is not in the outcomes, it's probability will be zero ..
Tori examined the pattern of exponents in the table.
Based on the pattern, which statements are true? Check all that apply.
Answer:
Option B and C are correct.
Step-by-step explanation:
We need to find the pattern of the values in the table and find the values of a and b.
6³ = 216
216/6 = 36
6² = 36
36/6 = 6
6¹ = 6
6/6 = 1
6⁰ = 1
1/6 = 1/6
6⁻¹ = 1/6
1/6*1/6 = 1/36
6⁻² = 1/36
So, value of a = 1/6
and value of b = 1/36
And we have seen as the exponent is decreasing, each previous value is divided by 6.
So, Option B and C are correct.
Answer: The correct options are
(B) the value of b is [tex]\dfrac{1}{36}.[/tex]
(C) As the value of the exponent decreases, each previous value is divided by 6.
Step-by-step explanation: We are given that Tori examined the pattern of exponents in the following table :
[tex]\textup{power of 6}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\textup{value}\\\\6^3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~216\\\\6^2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~36\\\\6^1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~6\\\\6^0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~1\\\\6^{-1}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~a\\\\6^{-2}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~b[/tex]
We are to select the true statements based on the above pattern.
We will be using the following property of exponents :
[tex]x^{-y}=\dfrac{1}{x^y}.[/tex]
Therefore, we get
[tex]a=6^{-1}=\dfrac{1}{6^1}=\dfrac{1}{6}.[/tex]
and
[tex]b=6^{-2}=\dfrac{1}{6^2}=\dfrac{1}{36}.[/tex]
Also, the value of the exponent is decreasing and we see that
[tex]\dfrac{216}{36}=\dfrac{36}{6}=\dfrac{6}{1}=\dfrac{1}{\frac{1}{6}}=\dfrac{\frac{1}{6}}{\frac{1}{36}}=6.[/tex]
So, each previous value is divided by 6.
Thus, the correct options are
(B) the value of b is [tex]\dfrac{1}{36}.[/tex]
(C) As the value of the exponent decreases, each previous value is divided by 6.
Find the length of arc ED
Answer:
ED = 5π/6
Step-by-step explanation:
First convert angles into radians by using formula 1° = π/180 rad
So, 50° becomes 5π/18.
Now using formula,
angle = length of arc / radius of circle
we get,
5π/18 = length of arc / 3
Hence , length of arc = 5π/6
Answer:
ED ≈ 2.62 in
Step-by-step explanation:
The length of the arc ED is calculated as
ED = circumference × fraction of circle
= 2πr × [tex]\frac{50}{360}[/tex]
= 2π × 3 × [tex]\frac{5}{36}[/tex]
= 6π × [tex]\frac{5}{36}[/tex]
= [tex]\frac{5\pi }{6}[/tex] ≈ 2.62 in ( to 2 dec. places )
The means and mean absolute deviations of the individual times of members on two 4x400-meter relay track teams are
shown in the table below.
Means and Mean Absolute Deviations of
Individual Times of Members of 4x400-meter Relay Track Teams
Team A
Team B
Mean
59.32 s
59.1 s
Mean Absolute Deviation
1.5 s
245
What percent of Team B's mean absolute deviation is the difference in the means?
9%
15%
25%
65%
Answer:
9%
Step-by-step explanation:
To find the percentage of Team B's mean absolute deviation difference in the means, you have to subtract the two means, 59.32-59.1.
After this, divide your answer the the mean absolute deviation of Team B, or you could put it all in the calculator or paper like this:
[tex]\frac{59.32-59.1}{2.4}[/tex]
You'd then end with the decimal: .0916, which you would multiply by 100 to get about 9%
Answer:
A
Step-by-step explanation:
Find the value of x if 8^3/2^10 = 4^2/16
functions need help fast
Konichiwa~! My name is Zalgo and I am here to help you out on this beautiful day. The answer is -7x-1. When you input it into the equation, you should get f (-7x-1) = -8.
What is the slope of the line
Answer:
-1/2 b
Step-by-step explanation:
Which line is perpendicular to a line that has a slope of -5/6?
A - Line JK
B - Line LM
C - Line NO
D - Line PQ
Answer:
B
Step-by-step explanation:
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex]
Given m = - [tex]\frac{5}{6}[/tex], then
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{-\frac{5}{6} }[/tex] = [tex]\frac{6}{5}[/tex]
Since m > 0 then lines LM and No are the 2 possible lines
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = L(- 5, - 3) and (x₂, y₂ ) = M(0, 3)
m = [tex]\frac{3+3}{0+5}[/tex] = [tex]\frac{6}{5}[/tex]
Hence the required line is LM
Answer:
Line LM
Step-by-step explanation:
If the measure of a central angle is 124°, then what is the measure of the arc it creates? 248° 62° 31° 124°
PLEASE HELP!!!!!!!!!!!
Answer:
The measure of the arc it creates from the central angle is 124°
Step-by-step explanation:
Remember that a central angle's vertex is located on the center of the circle. The measure of the arc, is the same as the measure of the central angle. If it's an inscribed angle, the measure of the arc is two times the measure of the inscribed angle.
Answer:
124
Step-by-step explanation:
A high school is having a pancake breakfast fundraiser. They have 4 packages of pancake mix that each feed 120 people. The function
N(p) = 120p represents the number of people, N(p), that p packages of pancake mix feed.
Write the domain and range as compound inequalities.
Final answer:
The domain of the pancake mix function N(p) is 0 <= p <= 4 and the range is 0 <= N(p) <= 480, assuming the school has 4 packages and each package feeds 120 people.
Explanation:
The high school pancake breakfast fundraiser question deals with writing the domain and range for a given function. Our function is N(p) = 120p, where N(p) represents the number of people fed by p packages of pancake mix, and each package feeds 120 people. Since the school has 4 packages of pancake mix, the domain, which is the set of all possible values of p (packages), would be 0 <= p <= 4, as they cannot use negative packages and have only 4 packages available. The corresponding range would be the number of people that can be fed, which is from 0 to 4 times 120, so 0 <= N(p) <= 480.
what is the value of k
Answer: We need a picture or a description of how we need to find the value ok k.
Step-by-step explanation:
what is the sum ? 2x
Answer: Third option.
Step-by-step explanation:
Given the expression [tex]\frac{2x+4}{x+1}+\frac{-x+5}{x+1}[/tex] you need to make the addition indicated.
First, it is important to remember the multiplication of signs:
[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-[/tex]
Therefore, since both fractions have equal denominator, you can rewrite the same denominator and add the numerators. Then you get that the sum is:
[tex]\frac{2x+4}{x+1}+\frac{-x+5}{x+1}=[/tex][tex]\frac{(2x+4)+(-x+5)}{x+1}=\frac{2x+4-x+5}{x+1}=\frac{x+9}{x+1}[/tex]
Answer:
The correct answer is third option
(x + 9)/(x + 1)
Step-by-step explanation:
It is given an expression,
(2x + 4)/(x + 1) + (-x + 5)/(x + 1)
To find the sum
The given expression shows the sum of two fractions,
The denominators are same
(2x + 4)/(x + 1) + (-x + 5)/(x + 1)
= [2x + 4 + -x + 5]/(x + 1)
= (x + 9)/(x + 1)
Therefore the correct answer is third option
(x + 9)/(x + 1)
regular pentagon abcde is inscribed in a circle. find arch measure ab. if the radius is 6, find ab.
a. Your answer and reasoning are correct.
b. If O is the center of the circle, then angle ABO has measure 72º, so that by the law of cosines
[tex]AB^2=6^2+6^2-2\cdot6\cdot6\cos72^\circ\implies AB=3\sqrt{10-2\sqrt5}[/tex]
just to add to the superb reply above by @LammettHash
[tex]\bf \textit{arc's length}\\\\ s=\cfrac{\pi \theta r}{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\ \cline{1-1} r=6\\ \theta =72 \end{cases}\implies s=\cfrac{\pi (72)(6)}{180}\implies s=\cfrac{12\pi }{5}\implies s\approx 7.54[/tex]
simplify(x^5/8)^2/3
Answer:
[tex]x^{5/12}[/tex]
Step-by-step explanation:
Having a power to a power means that you multiply them:
[tex]x^{5/8 * 2/3} = x^{(5 * 2)/ (8 * 3)} = x^{10/24} = x^{5/12}[/tex]
The simplified expression is [tex]x^{(\frac{5}{12} )[/tex].
Given that an expression [tex](x^{\frac{5}{8}} )^\frac{2}{3}[/tex], we need to simply it.
To simplify the expression, first, we raise the fraction to the power of 2/3:
Step 1: [tex](x^{\frac{5}{8}} )^\frac{2}{3}[/tex]
Now, when raising a power to another power, we multiply the exponents:
Step 2: [tex]x^{\frac{5}{8} \times \frac{2}{3}[/tex]
To simplify further, we multiply the fractions:
Step 3: [tex]x^{\frac{10}{24}[/tex]
Now, we can simplify the exponent by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 2 in this case:
Step 4: [tex]x^{(\frac{5}{12} )[/tex]
So, the simplified expression is [tex]x^{(\frac{5}{12} )[/tex].
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If the diagonal path is 750 feet long and the width of the park is 450 feet, what is the length, in feet, of the park?
A. 675 ft.
B. 550 ft.
C. 600 ft.
D. 650 ft.
Answer:
600 feet
Step-by-step explanation:
I am assuming that the park is rectangular, and the together, the length, with and diagonal form a right triangle.
In this case, we are given
Diagonal = 750 ft = hypotenuse
Width = 450 feet
Find length L
Using the Pythagorean theorem,
L² + 450² = 750²
L² = 750² - 450² = 360,000
L= √360,000 = 600 feet
Answer:
C, 600 ft.
Step-by-step explanation:
a^2+b^2=c^2
C is always the hypotenuse/diagonal. Let A represent length and B represent width.
A^2+450^2=750^2
A^2+202500=562500
562500-202500=360000=A^2
take the square root of both sides to solve for A and the value of A is 600.
The absolute value function, f(x) = |x + 2|, is shown.
What is the domain of the function?
all real numbers
all real numbers greater than or equal to 0
all real numbers greater than or equal to –2
all real numbers less than or equal to –2
ANSWER
all real numbers
EXPLANATION
The given absolute value function is
[tex]f(x) = |x + 2| [/tex]
This function is obtained by shifting the graph of
[tex]y = |x| [/tex]
to the left by 2 units.
Since the domain of the parent function is all real numbers, the domain of the transformed function is also all real numbers because the shifting the parent function horizontally or vertically does not affect the domain.
34x+5−12x=3 what is the value of x?
Answer:
[tex]\large\boxed{x=-\dfrac{1}{11}}[/tex]
Step-by-step explanation:
[tex]34x+5-12x=3\qquad\text{subtraxct 5 from both sides}\\\\34x-12x=3-5\\\\22x=-2\qquad\text{divide both sides by 22}\\\\x=\dfrac{-2}{22}\\\\x=-\dfrac{2:2}{22:2}\\\\x=-\dfrac{1}{11}[/tex]
To solve the equation 34x+5−12x=3, we combine like terms to get 22x+5=3, then isolate x to find that x=-1/11.
The student's question, 34x+5−12x=3, presents a linear equation where we need to find the value of x.
To solve for x, we shall first consolidate like terms on the left side of the equation.
We have:
34x - 12x + 5 = 3
22x + 5 = 3
22x = 3 - 5
22x = -2
x = -2/22
x = -1/11
The value of x in this equation is -1/11.