The answer is g= -3x+6
The g function can be obtained from the graph using two points, the first (0,6) and the second (2,0).
Remember, a line has the following equation:
y=mx=b, where 'm' is the slope and 'b' the interception with 'y' axis
b=6, since x=0 and y=6.
Now to find the slope, lets use the following equation:
With the previously obtained point.
We have m=-3
Hence our function g has the following
g= -3x+6
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help im homschooled n nun of the teachers help
Answer:
2
Step-by-step explanation:
What is the side length of a square house with an area of 9 kilometers?
Answer:
3
Step-by-step explanation:
[tex]\mathrm{a = \sqrt{A} = \sqrt{9} = 3}[/tex]
What is the solution to the equation+=+
x=
10
0x = //
0x = 1/5/2
0x = 1/
Ο r
Calculator
2
?
The value of x in the equation x² - 2 x + 5 = 2 is 1 ± i √2.
We are given the equation:
x² - 2 x + 5 = 2
We need to solve the equation to find the value of x.
For this, we will first subtract 2 from both the sides:
x² - 2 x + 5 - 2 = 2 - 2
x² - 2 x + 3 = 0
Now, we will solve for the value of x:
D = b² - 4 ac
D = (- 2)² - 4 (3)(1)
D = 4 - 12
D = - 8
√D = 2 i √2
Now putting it in quadratic formula, we get that:
x = (- b ± √D) / 2 a
x = (2 ± 2 i √2) / 2 (1)
x = 1 ± i √2
Therefore, the value of x in the equation x² - 2 x + 5 = 2 is 1 ± i √2.
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Your question is incomplete. Please refer the content below:
What is the solution to the equation for x:
x² - 2 x + 5 = 2
40PTS. When you are getting dressed, you put your socks on first and then your shoes on second. But to undo this, you take your shoes off first and your socks off second. Why do you have to reverse the order? Use this scenario to help you explain why it is helpful to work backward when solving equations.
Solve the system of equations.
y = 3x
y=x-4
Step-by-step explanation:
y=3x
y=x-4
3x=x-4
2x=4
x=2
y=3*2
y=6
(2,6)
x=2
y=6
The formula for the area A of a trapezoid
A = 1/2 (b + b,)h. Solve for b
[Mathematical Situation]
Solve for [tex]b_1[/tex]; [tex]A=\frac{1}{2} (b_{1} + b_2)h[/tex]
Solution:
[tex]b_1=\frac{2a}{h}-b_2[/tex]
Hope this helps!
Find an equation in point-slope form for the line having the slope m=5 and containing the point (7,1).
[tex](\stackrel{x_1}{7}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ 5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ 5}(x-\stackrel{x_1}{7})[/tex]
10x−y = 10
−2x+ 5y = −2
Answer:
x=1 & y=0
Step-by-step explanation:
Simplify 5√12xm³
Assume x and m are nonnegative.
O 60√xm³
O 60m³√x
O 10m³√3x
O 10m√3xm
Answer:
[tex]\sf 10m\sqrt{3xm}[/tex]
Step-by-step explanation:
To simplify the expression, factorize 12. For every two items inside the square root, take one outside.
[tex]\sf 5\sqrt{12xm^3} = 5\sqrt{2*2*3*x*m*m*m}[/tex]
[tex]\sf = 5*2*m\sqrt{3xm}\\\\=10m\sqrt{3xm}[/tex]
There are 6 circles and 3 squares. what is the simplest ratio of squares to circles? : attempt 1 out of 2 da'kyra jordan simplifying ratios (basic) sep 26, 7:01:57 pm there are 6 circles and 3 squares. what is the simplest ratio of squares to circles?
Given that there are 6 circles and 3 squares, the simplest ratio of squares to circles is 1 : 2 or 1 to 2 or 1/2.
Ratio is the relationship between two quantities, normally expressed as the quotient of one divided by the other.
It can be expressed in different ways:
1) Use the ":" to separate the values : a : b
2) Use the word "to" : a to b
3) Write it in fraction: a / b
If there are 6 circles and 3 squares. then the ratio of squares to circles can be written as:
3 : 6 or 3 to 6 or 3/6
To simplify the ratio, divide both numbers in the ratio by the same number until they cannot be divided any more.
Divide both number by 3.
3 : 6 = 1 : 2
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Are the ratios 4:10 and 3:4 equivalent?
Answer: No
Step-by-step explanation:
The loudness in decibels dB of a sound is defined as 10 log I/I₀ , where I is the intensity of the sound in watts per square meter (W / m²) . I₀ , the intensity of a barely audible sound, is equal to 10⁻¹²W/m². Town regulations require the loudness of construction work not to exceed 100 dB . Suppose a construction team is blasting rock for a roadway. One explosion has an intensity of 1.65x10²W/m² . Is this explosion in violation of town regulations?
a. Which physical value do you need to calculate to answer the question?
a) The explosion does violate the town regulation
b) The two physical quantities are the I(intensity of the sound) and
[tex]I_{o}[/tex] (detectable intensity)
The values that we have been given are
L = loudness of the sound = 10 log(I/[tex]I_{o}[/tex])
I = intensity of the sound in watts per square meter = [tex]1.65 * 10^{2} W/m^{2}[/tex]
[tex]I_{o}[/tex] = intensity of barely audible sound = [tex]10^{-12} W/m^{2}[/tex]
Putting the required value in the equation of the loudness we get
a) L = [tex]10 log(\frac{1.65*10^{2} }{10^{-12} } )\\[/tex]
L = 10 * 14.217 dB = 142.17 dB
And according to the town regulation the loudness of the construction work should not exceed 100dB.
Thus the explosion is in violation of the town regulation as it exceeds 100dB.
b) the two physical value we have to calculate are I which is intensity of the sound in watts per square meter and [tex]I_{o}[/tex] which is intensity of barely audible sound. The respective values are
I = intensity of the sound in watts per square meter = [tex]1.65 * 10^{2} W/m^{2}[/tex]
[tex]I_{o}[/tex] = intensity of barely audible sound = [tex]10^{-12} W/m^{2}[/tex]
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Forty percent of all registered voters in a national election are female. A random sample of 5 voters is selected. The probability that the sample contains 2 female voters is.
The probability that the sample contains 2 female voters is 0.31104
Binomial distribution uses two values; n and p. n represent the counts of sample that are being collected. On the other hand, p represents the chances of being successful on any trial. Using the two values, the probabilities are computed for binomial distribution.
Probability that a random voter is female is 0.40(p).
Sampled voters are 6(n).
Let X be the number of females in the sampled voters.
Then,
X∼ Bin (n, p)
∼Bin (6,0.4)
Probability that the sample contains exactly 2 female voters is,
P (X =2) = 6C2 (0.4)2 (1−0.4)6−2
=0.31104
Therefore, the probability that the sample contains exactly 2 female voters is 0.31104
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If Harry travels 10 and 4/10 of a mile in 5 hours on his broomstick. How far will he travel in 1 hour?
Group of answer choices
5 and ½ miles per hour
2 and 2/25 miles per hour
52 miles per hour
2 and ½ miles per hour
Answer:
2 and 2/25 miles per hour.
Step-by-step explanation:
Harry's speed = distance / time
= 10 4/10 / 5
= 104/10 * 1/5
= 104/50
= 2 4/50
= 2 2/25
HELPPPP ME NOWWWW PLEASEE
Multi-step k is the midpoint of _ jl , jl = 4x - 2, and jk = 7. find x, kl, and jl.
Answer:
K is the midpoint of JL, so it is halfway between J and L (see diagram). If JK is 7 units long, then so is KL. The length of the entire segment JL is 4x - 2, so
4x -2=14
Step-by-step explanation:
helpppp pls !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The entries that complete the blanks are 20.39, 20.78, 21.17 and 20 + 0.39n
How to determine the total amounts?The given parameters are
Invitation = $20
Stamps = $0.39 per stamp
So, the total amount spent is calculated as
Total = Invitation + Stamps * Number stamps
This gives
Total = 20 + 0.39 * Number stamps
For stamps 1, 2, 3 and n, we have
Total = 20 + 0.39 * 1 = 20.39
Total = 20 + 0.39 * 2 = 20.78
Total = 20 + 0.39 * 3 = 21.17
Total = 20 + 0.39 n
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ILL GIVE 20 POINTS TO WHOEVER ANSWERS FIRST
I've been waiting for 2 hours
Which of the following numbers is irrational? (5 points)
negative 7 over 4 , 2 over 3 , square root of 3 , square root of 4
negative 7 over 4
2 over 3
square root of 3
square root of 4
The irrational number in this data-set is given by the square root of 3.
What are rational and irrational numbers?Rational numbers are numbers that can be represented by fractions, such as numbers that have no decimal parts, such as whole numbers, or numbers in which the decimal parts are terminating or repeating.Irrational numbers are numbers that cannot be represented by fractions, being non-terminating and non-repeating decimals, such as non-exact square roots and also for the pi number.In this problem, we have that:
7/4 and 2/3 are fractions, hence they are rational.The square root of 3 is a non-exact square root, hence it is irrational.The square root of 4 is a exact square root, hence it is rational.Hence:
The irrational number in this data-set is given by the square root of 3.
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25, 8, 10, 35, 5, 45, 40, 30, 20 What is the median of the given data set?
Answer:
25
Step-by-step explanation:
Arrange numbers to ascending order :
5,8,10,20,25,30,35,40,45
Cross of the smallest and biggest number until you left with one in the middle
1. What is the y intercept that connects all of the data points?
2. What does the y intercept represent in the context of this problem?
3. If your friend says he can get a dozen DVD's from this website for $90, is he correct?
4. How much would it cost to buy 50 DVD's from this website?
Giving Brainliest to whoever gives the correct answer
1. The y-intercept is: 12.
2. The y-intercept represent the initial cost that excluding the cost per DVD.
3. Your friend is incorrect. A dozen DVD's is gotten for $84.
4. 50 DVD's from the website would cost: $312.
How to Interpret the Y-intercept of a Line?The y-intercept is the value of the y-coordinate of the point where the line intercepts the y-axis.
The y-intercept is referred to as the starting value or initial value. At this point, x = 0.
1. First, find the slope (m) of the line using two points, (1, 18) and (2, 24):
Slope (m) = change in y/change in x = (24 - 18)/(2 - 1) = 6/1
Slope (m) = 6
Substitute m = 6 and (x, y) = (1, 18) into y = mx + b to find the y-intercept, b:
18 = 6(1) + b
18 - 6 = b
b = 12 (y-intercept)
Substitute m = 6 and b = 12 into y = mx + b:
y = 6x + 12
The y-intercept that connects all the data points is: 12.
2. The y-intercept in this context represents the initial cost that excludes the charge for each DVD.
3. Substitute x = 12 into y = 6x + 12 and solve to see if y equals 90:
y = 6(12) + 12
y = 84 [not equal to $90)]
Thus, your friend is incorrect. a dozen DVD's can be gotten for $84.
4. Substitute x = 50 into y = 6x + 12:
y = 6(50) + 12
y = 312
It would cost $312 to get 50 DVD's from the website.
The graph for the points (1, 18), (2, 24) , and (3, 33) is shown below.
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WARM UP: Graph the coordinates of the triangle in the coordinate plane. Multiply each coordinate by a scale factor of 3 (k=3). Then, graph the new triangle.
The two triangles are similar triangles and the graph of the triangles are attached
Graph the coordinates of the triangle in the coordinate plane.The coordinates of the triangle are given as
A (0, 3), B (3, 3) and C (3, -1)
So, we enter the above coordinates in a graphing calculator
See attachment for the graph of the triangle
Multiply each coordinate by a scale factor of 3 (k=3).
Here, we have
A' 3 * (0, 3), B' 3 * (3, 3) and C' 3 * (3, -1)
This gives
A' (0, 9), B' (9, 9) and C' (9, -3)
Next, we enter the above coordinates in a graphing calculator
See attachment for the graph of the triangle
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What is 16,504÷55. Using 2 digit divisors write the remainder as a fraction.
16504 divided by 55 equals
300+ 4/55.
First we know about -
Divisor: The number by which the dividend is divided.
Quotient: The result of division.
Remainder: The amount that is left over after division.
Rules for the Division -
1. Take the first digits of the dividend, the same number of digits that the divisor has. If the number taken from the dividend is smaller than the divisor, you need to take the next digit of the dividend.
2. Divide the first number of the dividend (or the two first numbers if the previous step took another digit) by the first digit of the divisor. Write the result of this division in the space of the quotient.
3. Multiply the digit of the quotient by the divisor, write the result beneath the dividend and subtract it. If you cannot, because the dividend is smaller, you will have to choose a smaller number in the quotient until it can subtract.
4. After subtraction, drop the next digit of the dividend and repeat from step 2 until there are no more remaining numbers in the dividend.
0 0 3 0 0
5 5 ) 1 6 5 0 4
− 0
1 6
− 0
1 6 5
− 1 6 5
0 0
− 0
0 4
− 0
4
16504 divided by 55 equals
300 with a remainder of 4
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The first term of an arithmetic sequence is 10 and the common difference is 5. Find the value of the 30th term
Answer:
Step-by-step explanation:
First term of the sequence is 10 and common difference is 3.
a
1
= 10 and d = 3
Next term = a
2
=a
1
+d=10+3=13
a
3
=a
2
+d=13+3=16
Thus, first three terms of the sequence are 10, 13 and 16.
Let 100 be the nth term of the sequence.
a
n
=a
1
+(n−1)d
100=10+(n−1)3
90=(n−1)3
n−1=30
n=31, which is a whole number.
Therefore, 100 is the 31
st
term of the sequence.
A spherical water tank holds 9000 ft³ of water. What is the diameter of the tank? (Hint: (¹/₆ d³ π=V)
The diameter of the tank is 25.8 feet.
We are given the volume of water tank. Also, we are provided the formula relating volume and density.
Rewriting the formula -
V = 1/6×π×d³, where d represents the diameter. Taking the value of π as 3.14
Rewriting the formula according to diameter -
d³ = 6V/π
Keep the values in formula to find the value of diameter of water tank
d³ = 6×9000/3.14
Performing multiplication and division to find the value of diameter
d³ = 54000/3.14
Performing division to find the value of diameter of water tank
d³ = 17197.45
d = ∛17197.45
Taking square root to find the value of diameter of water tank
d = 25.8 feet
Hence, the diameter of tank is 25.8 feet.
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Part 4:
7. What is the point slope equation of line that passes throug
point (2,-3) and has the same y intercept as y = 5x + 2?
to get the equation of any straight line, we simply need two points off of it, hmmm let's take a peek at the y-intercept of the line above
[tex]y = 5x \stackrel{\stackrel{b}{\downarrow }}{+2} \qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \implies \stackrel{y-intercept}{(0~~,~~2)}[/tex]
so we're really looking for the equation of a line that passes through (2 , -3) and (0 , 2)
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{2}}} \implies \cfrac{2 +3}{-2} \implies -\cfrac{ 5 }{ 2 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{-\cfrac{ 5 }{ 2 }}(x-\stackrel{x_1}{2}) \implies y +3= -\cfrac{ 5 }{ 2 } (x -2)[/tex]
Your friend invested $1000 in an account that pays 6% annual interest. How much interest will your friend have after her college graduation in 4 years?
b. What equation should you use to model this situation?
The equation that suits the model is given as I = Prt and the interest the friend will have after her college graduation in 4 years will be $240
The formula to be used to is given as :
I = Prt (1)
where, I = simple interest
P = principal amount or amount initially deposited.
r = annual interest rate
t = time
According to the question we have been given that
P = $1000
r = 0.06
t = 4 years
Putting the required values in equation (1) we get
I = 1000*0.06*4
I = 240
hence the equation that suits the model is given as
I = Prt
and the interest the friend will have after her college graduation in 4 years will be $240
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To the nearest tenth, what is the percent of Container A that is empty after the pumping is complete?
After pumping all of container A into container B there will remain empty space in B = 78.5 ft³
The percentage for this empty space is of the entire volume is = 3.4 %
What is volume of cylinder?
Volume of cylinder is calculated as;
v = π r² h
Since, Container A has a diameter of 18 feet and a height of 9 feet.
Then, Radius = 18/2 = 9 ft
Hence, Volume of Container A = π r² h
= 3.1416 * 9 * 9 * 9
= 2,290.22 ft³
Since, Container B has a diameter of 16 feet and a height of 11 feet.
Then, Radius = 16/2 = 8 ft
Hence, Volume of Container B = π r² h
= 3.1416 * 8 * 8 * 11
= 2,211.68 ft³
After pumping all of container A into container B there will remain empty space in B = 2,290.22 - 2,211.68 = 78.5 ft³
And, The percentage for this empty space is of the entire volume is,
78.5/2,290.22 = 0.03427 *100 = 3.4 %
So, After pumping all of container A into container B there will remain empty space in B = 78.5 ft³
The percentage for this empty space is of the entire volume is = 3.4 %
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The results of a survey of customers at a pet supply store showed that 33 owned dogs, 42 owned parrots, and 20 owned both dogs and parrots. How many owned either a dog or a parrot?
of the customers surveyed, owned either a dog or a parrot
(Type an integer or a decimal.)
Based on the number of customers who owned parrots, dogs and parrots, and dogs, the number who owned either a dog or a parrot were 55 customers
How to find the number who owned either a dog or parrot?The number of people who owned a parrot was 42. 33 people also owned a dog. Some of these people owned both a dog and a parrot and they numbered 20.
To find the number of customers who owned either a dog or a parrot, the formula is:
= Number of customers who owned a dog + Number of customers who owned a parrot - Number of customers who owned both a dog and parrot
= 33 + 42 - 20
= 75 - 20
= 55 customers
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Is
f(x)
f(n)
f(a number)
Does all of them mean y?
Describe the difference between perfect square roots and non-perfect squares. Write at least two complete sentences.
Answer:
In this particular type of question we need to understand that perfect squares are the squares of the integers numbers and perfect square always end in 0,1,4,5,6,9.A perfect square number never ends with 2,3,7 or 8 .This is the first observation you will make to check if the number is a perfect square or not.
Step-by-step explanation: