Answer:
first graph is a function
Step-by-step explanation:
How do you solve 2x 3y =- 6?
We can solve this equation using the distributive property. First, we will use the distributive property to multiply the 3y by 2.
What is distributive property?The distributive property is a mathematical rule that allows you to multiply a single number by a group of numbers by multiplying the single number by each number in the group individually. This rule can be expressed in two ways. The first way is a(b + c) = ab + ac. The second way is a(b - c) = ab - ac.
This will give us 2x * 3y = 2(3y). Then, we will subtract 6 from both sides of the equation, which gives us 2x * 3y - 6 = 2(3y) - 6. We can then divide both sides of the equation by 6, which gives us 2x * 3y / 6 = 2(3y) / 6. Finally, we can divide both sides of the equation by 3y, which gives us 2x = -2. Therefore, the solution to 2x 3y = -6 is 2x = -2.
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Consider sequences of positive real numbers of the form , in which every term after the first is 1 less than the product of its two immediate neighbors. For how many different values of does the term 3000 appear somewhere in the sequence ?
a. 1
b. 2
c. 3
d. 4
e. more than 4
No two values of x in the computation we just did are equal, there are 4 different values of x for which the sequence contains the value 2001.
What is meant by sequences?An ordered list of numbers is all that a sequence is. Number series are collections of numbers that adhere to a pattern or guideline. An arithmetic sequence is one where the rule is to add or take away a number each time.
To estimate a few terms of the sequence in order to obtain a feel how it looks like.
In our case, the definition is that [tex]$\forall$[/tex] (for all) [tex]$n > 1: a_n=a_{n-1} a_{n+1}-1$[/tex].
This can be rewritten as [tex]$a_{n+1}=\frac{a_n+1}{a_{n-1}}$[/tex].
We have [tex]$a_1=x$[/tex] and [tex]$a_2=2000$[/tex], and we estimate:
[tex]$& a_3=\frac{a_2+1}{a_1}=\frac{2001}{x} \\[/tex]
[tex]$& a_4=\frac{a_3+1}{a_2}=\frac{\frac{2001}{x}+1}{2000}=\frac{2001+x}{2000 x} \\[/tex]
[tex]$& a_5=\frac{a_4+1}{a_3}=\frac{\frac{2001+x}{2000 x}+1}{\frac{2001}{x}}=\frac{\frac{2001+2001 x}{2000 x}}{\frac{2001}{x}}=\frac{1+x}{2000} \\[/tex]
[tex]$& a_6=\frac{a_5+1}{a_4}=\frac{\frac{1+x}{2000}+1}{\frac{2001+x}{2000 x}}=\frac{\frac{2001+x}{2000}}{\frac{2001+x}{2000 x}}=x \\[/tex]
[tex]$& a_7=\frac{a_6+1}{a_5}=\frac{x+1}{\frac{1+x}{2000}}=2000[/tex]
At this point we see that the sequence will become periodic: we contain [tex]$a_6=a_1, a_7=a_2$[/tex], and each subsequent term exists uniquely determined by the previous two.
Hence 2001 appears, it contains to be one of [tex]$a_1$[/tex] to [tex]$a_5$[/tex].
As [tex]$a_2=2000$[/tex], we only have four possibilities left.
Clearly [tex]$a_1=2001$[/tex] for x = 2001, and [tex]$a_3=2001$[/tex] for x = 1.
The equation [tex]$a_4=2001$[/tex]
solves to [tex]$x=\frac{2001}{2000 \cdot 2001-1}$[/tex], and the equation [tex]$a_5=2001$[/tex] to [tex]$x=2000 \cdot 2001-1$[/tex]
There are four alternative values of x for which the sequence contains the value 2001 since no two values of x are equal in the computation we just performed.
Therefore, the correct answer is option (D) 4.
The complete question is:
Consider sequences of positive real numbers of the form x, 2000, y, ........ in which every term after the first is 1 less than the product of its two immediate neighbors. For how many different values of x does the term 2001 appear somewhere in the sequence?
(A) 1
(B) 2
(C) 3
(D) 4
(E) more than 4
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Which expression represents the length of the hypotenuse C of the triangle below
Answer:
[tex] \sqrt{a {}^{2} + b {}^{2} }[/tex]
What are the approximate solutions of 4x2 3 − 12x to the nearest hundredth?
The approximate solutions are -0.28 and -2.28.
Now, According to the question:
Given, the equation is 4x^2 + 3 = -12x
We have to find the approximate solutions to the equation.
Using quadratic formula,
[tex]x = \frac{-b±\sqrt{b^2-4ac} }{2a}[/tex]
The equation can be written as 4x^2 + 12x + 3 = 0.
Here, a = 4, b = 12, c = 3
x = [tex]\frac{-12±\sqrt{12^2-4(4)(3)} }{2(4)}[/tex]
x = [tex]\frac{-12±\sqrt{144-48} }{8}[/tex]
x = [tex]\frac{-12±\sqrt{96} }{8}[/tex]
x = [tex]\frac{-12±9.8}{8}[/tex]
Now, x = [tex]\frac{-12+9.8}{8} =\frac{-2.2}{8}[/tex] = -0.275
x = [tex]\frac{-12-9.8}{8} =\frac{-21.8}{8}[/tex] = -2.275
Therefore, the approximate solutions are -0.28 and -2.28.
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The complete question is this :
What are the approximate solutions of 4x^2 + 3 = -12x to the nearest hundredth?
PLEASE HELP
You roll a six-sided dice. What is the probability that the first roll is a 6, and the second one is a 3
There would be a 1/36 chance of rolling a 6 then a 3 consecutively on a 6-sided die
Because the chance of rolling each of the numbers individually would be 1/6, and you are trying to roll 2 specific numbers in a row on a single die, you can simply multiply 1/6 by 1/6 to get your answer.
HELP ME PLEASEEE HURRY
The distance between a 16 feet long chord and the center of a circle is 15 feet. Compute the diameter of the circle
The diameter of the circle is 30 feet
To compute the diameter of the circle, we can use the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the hypotenuse is the diameter of the circle, and the other two sides are the radius and the distance between the chord and the center of the circle.
So, we can write the equation:
diameter^2 = radius^2 + (distance between chord and center)^2
We know the radius is half the diameter, so we can substitute that in:
diameter^2 = (diameter/2)^2 + (15)^2
And we can solve for the diameter:
diameter^2 = diameter^2/4 + 225
diameter^2 = diameter^2/4 + 225
4diameter^2 = diameter^2 + 900
3diameter^2 = 900
diameter^2 = 900/3
diameter = sqrt(900/3)
So the diameter of the circle is 30 feet.
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Fill in the blanks
Complete the sentence
Answer: There are 30 cubes in each layer and 3 layers. (Up to down.)
Explanation: You can multiply the x and y axis for one layer, and then count how many layers there are. There are 90 cubes in all.
I hope this helps, have a good day!
When plotting points on the coordinate plane below, which point would lie on the x-axis?
A coordinate plane.
(6, 0)
(0, 2)
(3, 8)
(5, 5)
Answer:
When plotting points on the coordinate plane below, which point would lie on both the x-axis and the y-axis? the answer is its the origin (0, 0)
Step-by-step explanation:
Which table represents the statement “A car is traveling at a rate of 60 miles per hour”? A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled miles with entries 60, 30, 10. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled miles with entries 60,61, 62. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled miles with entries 60, 65, 70. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled miles with entries 60, 120, 180.
Answer:
Option DStep-by-step explanation:
The given statement represents the equation:
y = 60xFor the values of x = 1, 2, 3 the value of y would be:
y = 60, 120, 180Correct table to reflect this is D.
A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled miles with entries 60, 120, 180.Answer:
The declaration is the equation:
and = 60x
In terms of values x = 1, 2, 3 y is: Y
Y = 60. 120.
This is shown by the right table D.
Table with 3 rows in 2 columns.
The hours of entries 1, 2, 3 are shown with Column 1.
Miles containing the items 60, 120, 180 are shown in column 2.
0 Thank you.
Step-by-step explanation:
Help me with this one plz.
Q14
How can I prove (a)
AE is congruent to CE.We can prove by assuming two triangle in the given diagram and by using SAS rule.
How do you find congruent triangles?If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle then the two triangles are said to be congruent by SSS rule. In the above-given figure, AB= PQ, BC = QR and AC=PR, hence Δ ABC ≅ Δ PQR.
What is an alternate angle in a triangle?Alternate angles are angles that occur on opposite sides of the transversal line. If two parallel lines are cut by a transversal then the alternate angles are equal.The pair of angles formed on the inner side of the parallel lines but on the opposite sides of the transversal are called alternate interior angles.
Now we have
Given a triangle ABC.Where E is the midpoint of AC. We have to prove that AE is congruent to CE.
In ΔAED and ΔCED
ED=ED (∵Common side are equal)
∠AED=∠CED (∵Alternate angles)
∠A=∠C (∵Alternate angles)
By ASA rule, ΔAED≅ΔCED
By Corresponding Parts of Congruent triangles
AE=EC
Hence, AE is conruent to CE.
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(03.05 MC) The table below shows the wavelength of four electromagnetic waves in meters (m). Electromagnetic Wave A C D Wavelength 3.0 x 10²m 4.0 x 10-6 1.2 x 10-¹2 m 2.0 x 10 m de According to the table, which electromagnetic wave has the least amount of energy?
According to the table the wavelength that has the least amount of electromagnetic energy is B having a wavelength of 4.0 x 10⁻⁶ m
What is electromagnetic energy?Radiant energy that moves in waves at the speed of light is called electromagnetic energy. It can also be referred to as radiant energy, electromagnetic radiation, electromagnetic waves, light, or the movement of radiation.
Wavelength is the separation between identical points (adjacent crests) in successive cycles of a waveform signal traveling through space or over a wire.
This length is often stated in meters when using wireless technology (m),
The relationship between a electromagnetic energy and wavelength is in inverse relation. This means that the least wavelength will result to greatest electromagnetic energy
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complete question
(03.05 MC) The table below shows the wavelength of four electromagnetic waves in meters (m).
Electromagnetic Wave Wavelength
A 3.0 x 10² m
B 4.0 x 10^-6 m
C 1.2 x 10-¹2 m
D 2.0 x 10 m
According to the table, which electromagnetic wave has the least amount of energy?
A small airplane used 4 5/16 gallons of fuel to fly a 1.25-hour trip. How many GALLONS were used EACH HOUR?
Answer:
13.8 gallons per hour
Step-by-step explanation:
"Gallons per hour" means to divide gallons by hours. Even the label can be a reminder of what to do: [tex]\frac{\text{gal}}{\text{hr}}[/tex] .
Now for the math...
[tex]4\frac{5}{16} \div 1.25 =4\frac{5}{16} \div 1\frac{1}{4}[/tex]
Changing both numbers to mixed number form helps. (You could also change both numbers to decimals--a calculator would help!)
Change mixed numbers to improper fractions, then divide.
[tex]\frac{69}{4} \div \frac{5}{4}=\\\\\frac{69}{4} \times \frac{4}{5}=\\\\\\\frac{69}{5}=13.8[/tex]
input x2 output -3 find the output when the input is 7
Answer:
11
Step-by-step explanation:
multiply 7 by 2, you will get 14
subtract 3 from 14 you will get 11
so the total answer is 11
g(x)=3x^2-2x+7/2x+5
find g (-1)
Answer:
-4
Step-by-step explanation:
g(-1) = 3(-1)² - 2(-1) + 7 / 2(-1) + 5
= 3-(-2)+7 / -2+5
= 5+7/-3
= 12/-3
= -4
PLEASE HELP ASAP!!! no bots
Answer:
Vertex: (-3, -5)
Axis of Symmetry: x = -3
Step-by-step explanation:
Heres the sketch:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Express the length a, b, c, and d in the figure in terms of the trigonometric ratios of θ.
a = b = c = d =
The lengths of a,b,c, and d have been derived and expressed in terms of trigonometric ratios below.
As we can see from the figure itself, the value of a = sin θ
This can be written as such because = sin θ = Perpendicular / Hypotenuse
Here, the perpendicular = a and hypotenuse = radius = 1
= sin θ = a
The value of b = tan θ
This is because tan θ = perpendicular/base
Here, the base = radius = 1
= tan θ = b
The value of c = sec θ
This is because sec θ = Hypotenuse / Base
= sec θ = c
The value of d = cos θ
This is because cos θ = Base / Hypotenuse
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Help me please possible
Answer:
1,888
Step-by-step explanation:
Im pretty sure that the answer is 1,888
here is some math for it
168+1440+280
6. A phone company charges $67 for monthly
access and $14 for each gigabyte of data
used. If you sign a two-year contract and
use 147.5 gigabytes of data, which value is
the closest approximation to the total
amount you will pay for phone service?
147.5 times 14 = 2065
And they want an estimate so just round the 147.5 to 150.0 and the 14 to a 15 and your answer is 2250
Estimate : 2250
Actual answer is : 2065
If you have any questions comment under this post
Have a wonderful day<3
Consider rigid-body physics in a higher or lower dimension than three. How many coordinates are required to specify the location and orientation of a rigid body:If the space is two-dimensional?a. 2b. 3c. 4d. 5
In two-dimensional space, only two coordinates are required to specify the location and orientation of a rigid body.
In two-dimensional space, a rigid body can only move in two directions (up/down and left/right) and rotate around a single axis. As a result, only two coordinates are needed to specify the location and orientation of a rigid body in two-dimensional space. The two coordinates needed to specify the rigid body's position are the x-coordinate and y-coordinate, which define the position of the body in the plane. The orientation of the rigid body can be determined by determining the angle between the x-axis and the body's orientation, which is referred to as the angle of rotation. The combination of these two coordinates (position and rotation) specify the full state of the rigid body in two-dimensional space.
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In a statistics class, a teacher had the students complete an activity in which they grabbed as many bite-sized pretzels as they could with their dominant hand, without crushing them. The teacher then measured their handspan in centimeters. The scatterplot displays the data the teacher collected along with the least-squares regression line. One student with a handspan of 23 cm grabbed 38 pretzels. This point is circled on the graph.
What effect will the circled point have on the y-intercept?
The y-intercept will not change with the addition of this point.
The y-intercept will decrease because the point pulls the least-squares regression line toward it.
The y-intercept will increase because the point pulls the least-squares regression line toward it.
The y-intercept will increase because this point represents an extremely high number of pretzels grabbed with the dominant hand.
answer is B
We can see here that the effect that the circled point will have on the y-intercept is: B. The y-intercept will decrease because the point pulls the least-squares regression line toward it.
What is an intercept?In statistics, an intercept is the value of the dependent variable when the independent variable(s) is equal to zero. It is often represented by the symbol "b" in a linear equation.
For example, a simple linear equation has the form y = mx + b, where "y" is the dependent variable, "x" is the independent variable, "m" is the slope of the line, and "b" is the y-intercept. The y-intercept is the point where the line crosses the y-axis.
We see here that the answer above is the correct answer.
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A third-grade student is asked to find the best estimated answer for the problem below by rounding to the nearest ten. 162 287 395 The student gets an answer of 840. Which of the following best describes the student's error
The error is that the student rounded off the outcome after combining the numbers.
What is rounding off?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number.
For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.
So, we have:
162 + 287 + 395 = 840
The error:
After adding the numbers, the student rounded the result.
If the learner had added the numbers first and then rounded the result, they would have received the correct answer of 850 instead of 840.
When estimating totals, students should be taught to round numbers first before adding them.
Therefore, the error is that the student rounded the outcome after combining the numbers.
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Correct question:
A third-grade student is asked to find the best-estimated answer for the problem below by rounding to the nearest ten.
162 + 287 + 395
The student gets an answer of 840. Which of the following best describes the student's error?
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
C. the function f(x) has the greater y-intercept by 72 units
Step-by-step explanation:
find f(x) y-intercept:
[tex]3(0-5)^2\\\\=3(-5)^2\\\\=3(25)\\\\=75[/tex]
the y-intercept of g(x) is 3
to find the difference subtract 3 from 75 and you get 72
Pls help question 9,10 and 11. And can u explain or show how u make the equation ?
Find the measure of the missing angles.
Answer:
c = 77
b = 77
Step-by-step explanation:
c and b are equal because they are vertically opposite.
In addition, they both form a supplementary pair with 103 (but not at the same time).
c + 103 = 180 c and 103 form a supplementary pair.
c = 180 - 103
c = 77
c = b = 77
which is the functions for increases 8.3%
Answer:
The US Consumer Price Index (CPI) increased 8.3% in the 12 months through August, with rent, food and healthcare accounting for the rise Excluding volatile food and gas prices, inflation climbed 6.3% year-on-year in July and 8.2% in September. US inflation ticked back up in August despite plunging gas prices.
citations: https://nypost.com/2022/10/13/inflation-hits-8-2-in-september-as-core-prices-surge/Step-by-step explanation:
whats the slope and y intercept of 10x + 5y =15
Answer:
slope = 2
y-int = -3
Step-by-step explanation:
y = 2 x − 3 is the slope-intercept form equation
Answer:
Slope: -2
Y intercept: (0,3)
−
50
67
1. 5−100%=minu, tart fraction, 67, divided by, 50, end fraction, plu, 1, point, 5, minu, 100, percent, equal
Enter the anwer a an exact decimal or implified fraction
The answer as an exact decimal = -0.84 and simplified fraction = −21/25.
What is simplified fraction?Simplifying a fraction is the process of reducing a fraction to its most basic form. If the numerator and denominator of a fraction have no common factors other than one, the fraction is in its simplest form.
When solving fraction problems, we must first simplify them. Even if we simplify them, the fraction's value will remain unchanged. This means that the simplified and actual fractions are equivalent fractions.
Given that
-67/50 + 1.5 − 100% = ?
Lets solve
= -67/50 + 1.5 − 100%
= -67/50 + 1.5 − (100 × 0.01)
= -67/50 + 3/2 - 1
= -67/50 + 75/50 - 50/50
= (-67 + 75- 50)/50
= −42/50
= −21/25
= -0.84
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An apple weighs 0.2 lb. A bag of apples contains 12 apples of this
same weight. If these apples sell for $2.10 per pound, how much
will a bag of 12 apples cost? Round off to the nearest cents.
12 apples = _____ pounds
$___ for the bag of apples
pounds
Answer:
Step-by-step explanation:
3.00