The polynomial is not a perfect square trinomial. This is false..
How to illustrate the information?It should be noted that a perfect squares trinomial is the algebraic expression which has the form of ax² + bx + c.
The equation given is 9x² - 30x + 25. This will be expanded as:
9x² - 30x + 25.
9x² - 15x - 15x + 25
3x(3x - 5) - 5(3x - 5)
= (3x - 5)(3x - 5)
In this case, 9x² - 30x + 25 is a perfect square binomial of 3x - 5 and not a trinomial.
Therefore, the correct option is false.
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Help please !!
The graph of the invertible function f is shown on the grid below.
Answer:
4
Step-by-step explanation:
→ We go up the y axis to 6 and read of the x coordinate which is 4. This is because an inverse function does the the opposite i.e. if f ( x ) = y
f⁻¹ ( y ) = x.
Write an equation in slope-intercept form of the line containing the points (3,-1) and (6, 7).
=x-9
y=x-7
y = -x +9
y = 3x - 11
The equation in slope-intercept form of the line containing the points (3,-1) and (6, 7) is; y = ⁸/₃x - 7
What is the equation in Slope Intercept form?We are given the coordinates of two points as;
(3,-1) and (6, 7).
Now, the formula for the equation of the line containing the two points in slope intercept form is;
(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)
Thus, we have;
(y + 1)/(x - 3) = (7 + 1)/(6 - 3)
(y + 1)/(x - 3) = = 8/3
y + 1 = (8/3)(x - 3)
y + 1 = ⁸/₃x - 8
y = ⁸/₃x - 7
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For the training adaptation of maximum strength, what is the recommended number of repetitions per set? 1 to 5 repetitions 1 to 6 repetitions More than 15 repetitions 6 to 12 repetitions
For the training adaptation of maximum strength, 1 to 5 repetitions per set is recommended.
The one-repetition maximum test, also called a one-rep max or 1RM, is used to find out the heaviest weight you can lift just once.
If Maximal strength is desired, it is best achieved by performing repetitions at 85 to 100 % of the one-repetition maximum (1RM).
Formula to find the repetition is
weight used x (reps done x 0.33 + 1) = 1RM
so,
Reps done = {{1RM/weight used} - 1}/ 0.33
By this find the no of reps are recommended for maximum strength.
The maximum strength is achieved by doing the number of reps by 85 to 100% of the value of 1 RM.
So,
For the training adaptation of maximum strength, 1 to 5 repetitions per set is recommended.
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How much water should be added to a 15 gallon solution of 35% hydrogen peroxide to create an 8% solution? how many gallons would there be of the 8% solution?
15 gallons of 35% peroxide solution contains 0.35 × 15 = 5.25 gallons of hydrogen peroxide. The rest of the volume is made up of 15 - 5.25 = 9.75 gallons of water.
If we add [tex]x[/tex] gallons of water to the solution, the amount of hyrdrogen peroxide in the solution stays the same, but the volume of water increases to [tex]9.75+x[/tex] gallons, and the total volume increases to [tex]15+x[/tex] gallons.
To get a concentration of 8% in this diluted solution, we add [tex]x[/tex] gallons of water such that
[tex]\dfrac{5.25}{15+x} = 0.08[/tex]
Solve for [tex]x[/tex].
[tex]5.25 = 0.08 (15 + x)[/tex]
[tex]5.25 = 1.2 + 0.08x[/tex]
[tex]0.08x = 4.05[/tex]
[tex]x = 50.625[/tex]
To get the desired concentration, one must add 50.625 gallons of water, and one will end up with a total volume of 65.625 gallons of solution.
Sarita makes a conical hat out of stiff felt. She packs the hat into the box so that the edge of the base just touches all four edges of the box and the tip of the hat touches the top of the box. The box is a rectangular prism that is 16 by 16 by 15 centimeters. How much material was used to create the hat? Round to the nearest tenth of a square centimeter
The material needed to make the hat is 3840 cm³.
How to find the volume of a rectangular prism?The hat occupies the whole volume of the rectangular box. Therefore, the material needed to make the hat is the volume of the rectangular box it occupies.
Therefore,
volume of a rectangular prism = lwh
where
l =lengthw = widthh = heightTherefore,
l = 16 cm
w = 16 cm
h = 15 cm
volume of a rectangular prism = 16 × 15 × 16
volume of a rectangular prism = 3840 cm³
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Desarrollar por el metodo de reduccion: 1. si: { 3x+ 2y = 26 { 5x - y = 26 hallar: e= x +y
Answer: e= x + y = 10
Step-by-step explanation :
check out the attachment for the answer
We got the value of [tex]e=\frac{78}{7}[/tex] by solving the given equations [tex]3x+2y=26[/tex] and [tex]5x+y=26[/tex] by reduction method.
What is reduction method?The reduction or elimination approach includes using arithmetic operations between equations to produce equivalent equations with fewer unknowns that are simpler to analyze and evaluate.
Given equations are
[tex]3x+2y=26[/tex] .........(1)
[tex]5x+y=26[/tex] ...........(2)
We need to find the value of [tex]e=x+y[/tex]
Simplifying the given equation (2) and we get
[tex]5x+y=26\\\Rightarrow y=26-5x[/tex]................(3)
Now, substitute the equation (3) in equation (1) and we get
[tex]3x+2(26-5x)=26\\\Rightarrow 3x+52-10x=26\\\Rightarrow -7x+52=26\\\Rightarrow -7x=26-52\\\Rightarrow -7x=-26\\\Rightarrow x=\frac{26}{7}[/tex]
Substitute the value of x in equation (3), we get
[tex]y=26-5\frac{26}{7} \\\Rightarrow y=26-\frac{110}{7}\\\Rightarrow y=\frac{162-110}{7}\\\Rightarrow y=\frac{52}{7}\\[/tex]
Now adding the values of x and y, we get
[tex]\therefore e=\frac{26}{7}+\frac{52}{7}\\\Rightarrow e=-{[\frac{26+52}{7}]\\\Rightarrow e={[\frac{78}{7}][/tex]
Therefore, the value of [tex]e=\frac{78}{7}[/tex].
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Select the correct answer.
Consider the following equation.
4(-) + 5 = 3 + 4
Approximate the solution to the equation above using three iterations of successive approximation. Use the graph below as a starting point.
PLEASE HELP BEFORE TOMORROW MORNING!! I’ll give Brainiest answer!!
The solution to the graph given is 7/16.
How to illustrate the graph?It should be noted that a graph is used to show the relationship between the variables illustrated.
Here, the successive approximation is used to solve equations.
This is done by the comparison to the sequence of the known quantities.
Here, the equation given is 4(-)x + 5 = 3^x + 4. solution to the graph given is 7/16. This is based on the graph given.
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why do angles formed by drawing lines from the ends of the diameter of a circle to its circumference form a right angle ?
Because the lines drawn are straight.
Explanation:
When the straight lines join together, the original point from where the first line started, becomes a right angle (90°)
VERBAL
1. Explain how to find the input variable in a word problem that uses a linear function.
Answer:
The independent variables in most cases is input variable. That is a value that does not depend on any other value and it can change independently.
Step-by-step explanation:
In the question, it is given that a problem uses an input variable.It is required to explain how to find the input variable in a word problem that uses a linear function.In order to find the input variable in a world problem, seek for the independent variable.That is a value that does not depend on any other value and it can change independently.Some other values change based on that value. In these types of functions, this value is mostly marked as x.Find the sum of a third of (a+b) and a fifth of (a+b)
Answer:
Step-by-step explanation:
GEOMETRY)
What is the equation of a circle having radius 8 and center (2,-7)?
(Picture is below) Thank you!
Answer:
(x - 2)² + (y + 7)² = 64
(fourth option listed / option D)
Step-by-step explanation:
as you likely know, the equation of a circle (centered at origin) is x²+y²=r²
now, let's say we want to write this using the center (the origin), it could look like this:
(x - 0)² + (y - 0)² = r²
(the center is 0,0)
[we write this in parentheses when we are shifting the location of a point--similar to when we move a line on a graph]
We can use this for any center, and we write our circle equation as:
(x - h)² + (y - k)² = r²
(h, k) is the center
So, let's apply the information we know
our (h, k) is (2, -7)
so let's fill that in:
(x - h)² + (y - k)² = r²
(x - 2)² + (y - -7)² = r² (simplify)
(x - 2)² + (y + 7)² = r²
now, we also know that our "r" (r is the radius) is 8, so let's fill that in too:
(x - 2)² + (y + 7)² = r²
(x - 2)² + (y + 7)² = 8² (simplify)
(x - 2)² + (y + 7)² = 64
So, we have found the equation of our circle to be:
(x - 2)² + (y + 7)² = 64
hope this helps! (and hope this makes sense) have a lovely day :)
3
Writing Linear Equations Using Similar Triangles
y
2
Intro
(xy)
Use similar triangles to determine the equation of the
line with a slope of 2/3 that passes through the point (0,
3).
What is the ratio of the rise to the run in the smaller
triangle in the diagram? |
What is the ratio of the rise to the run in the larger
triangle in the diagram?
What is the equation of the line in slope-intercept form?
Done
The solutions are given below:
1. 3y- 9 = 2x
2. 2/3.
3. y/x
4. y = (2/3)x + 3
What is equation of line?The equation of a line with one given point (x1, y1) is (y - y1) = m(x - x1). Here m is the slope of the line.
The complete question is:
On a coordinate plane, a line goes through (0, 3) and (x, y). A triangle has a rise of 2 and run of 3. A larger triangle has a rise of 5 and run of 7.
Use similar triangles to determine the equation of the line with a slope of 2/3 that passes through the point (0, 3).
What is the ratio of the rise to the run in the smaller triangle in the diagram?
What is the ratio of the rise to the run in the larger triangle in the diagram?
What is the equation of the line in slope-intercept form?
1. slope= 2/3
coordinates= (0, 3)
y-y1 = m(x-x1)
y-3 = 2/3(x-0)
y-3 = 2/3x
3y- 9 = 2x
2. The ratio of the rise to the run in the smaller triangle in the diagram
is y/x = 2/3
3. The ratio of the rise to the run in the larger triangle = y/x
4. The equation of the line in slope-intercept form is given by:
y = (2/3)x + 3
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Given f(x) = -5x + 2, determine each of the following:
a) f(-1)
b) f^-1(7)
c) f^-1(-43)
Answer:
a) 7
b) -1
c) 9
Step-by-step explanation:
a) Substitute -1 into the x's of the function.
f(-1) = -5(-1) + 2
f(-1) = 5 + 2
f(-1) = 7
b) f^-1(7) means: find the inverse of the function with 7 substituted as x.
Let y = f(x)
y = -5x + 2
5x = 2 - y
x = 2 - y / 5
f^-1(x) = 2 - x / 5
f^-1(7) = 2 - 7 / 5
f^-1(7) = -5/5
f^-1(7) = -1
c) We have already found the inverse of the- original function. Substitute -43 into the x's of the inverse function.
f^-1(-43) = 2 - (-43) / 5
f^-1(-43) = 2 + 43 / 5
f^-1(-43) = 45/5
f^-1(-43) = 9
Which system of equations can be used to find the roots of the equation 12 x cubed minus 5 x = 2 x squared x 6?
The system of equations used to find roots of the equation is y=12x³-5x and y=2x²+x+6.
Given the equation is 12x³-5x=2x²+x+6.
A set of equations containing one or more variables is called a system of equations. The variable mappings that satisfy all component equations are the solutions to systems of equations.
Firstly, separate the given equation into two parts by equating the left-hand side and right-hand side with 0, we get
12x³-5x=0
2x²+x+6=0
Now, to make a system of equations replace 0 with y as we know that system of equations contains two variables, we get
12x³-5x=y
2x²+x+6=y
Hence, the system of equations used to find the roots of the equation 12x³-5x=2x²+x+6 is y=12x³-5x and y=2x²+x+6.
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Help me please!
a = 3, b = 5, and c = 7. What is m&Bº to the nearest tenth?
Answer: m∡B°=38,2°.
Step-by-step explanation:
a=3, b=5, c=7 ∡B°=?
[tex]b^2=a^2+c^2-2*a*ccosB^0\\2*a*c*cosB^0=a^2+c^2-b^2\\cosB^0=\frac{a^2+c^2-b^2}{2*a*c} \\cosB^0=\frac{3^2+7^2-5^2}{2*3*7} \\cosB^0=\frac{9+49-25}{2*3*7} \\cosB^0=\frac{33}{42} \\cosB^0=\frac{11}{14}\\[/tex]
m∡B°=arccos[tex](\frac{11}{14})[/tex]
m∡B°≈38,2°.
Good luck!
PLS HELP I DON’T UNDERSTAND
The question asks for the probability that a marble is NOT YELLOW
Total Marbles: orange+yellow+blue=7+3+2=12
We need to count all marbles except yellow:
orange+blue=7+2=9
Now to find the probability that is NOT YELLOW:
[tex]\frac{All Marbles Except Yellow}{Total Marbles}[/tex]= [tex]\frac{9}{12} = \frac{3}{4}[/tex]
Answer is 3/4
Hope it helps!
anybody can help me?
The proportional graph that corresponds to M = 3n is: Graph C.
What is a Proportional Graph?The constant of proportionality, k, of a proportional graph is given as, y/x. The graph is expressed by the equation, y = kx.
The equation given, M = 3n, represents a proportional relationship where k = 3.
Using a point on graph C, (400, 1,200):
k = 1,200/400
k = 3
Therefore, the graph that corresponds to the situation is: C.
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PLS QUICK I ONLY HAVE 2 HOURS
Answer:
D
Step-by-step explanation:
As you can observe from the pattern, the numerator gets multiplied by 4 every increase in the sequence.
So , clearly, the 5th term will be = [tex]\frac{64*4}{5} =\frac{256}{5}[/tex]
and the 6th term will be = [tex]\frac{256*4}{5} =\frac{1024}{5}[/tex]
Therefore , D will be the answer.
The boarding platform of a Ferris wheel is 2 meters above the ground and the Ferris wheel is 36 meters in diameter and spins once every 7 minutes. How many minutes of the ride are spent higher than 26 meters above the ground
TODAY, Kyle has 11 pounds to lose to get to his goal weight. Tuesday he was 196 lbs. TODAY, he is down 3 lbs.
What is Kyle’s weight today?
What is Kyle’s goal weight?
number 8. use the Steps in the construction to determine which statement is true
Answer:
I believe the answer is C
Step-by-step explanation:
Hope this helps!!!
A machine that cuts corks for wine bottles operates in such a way that the distribution of the diameter of the corks produced is well approximated by a normal distribution with mean 2 cm and standard deviation 0.1 cm. The specifications call for corks with diameters between 1.9 and 2.1 cm. A cork not meeting the specifications is considered defective. (A cork that is too small leaks and causes the wine to deteriorate; a cork that is too large doesn't fit in the bottle.) What proportion of corks produced by this machine are defective
The proportion of defective corks produced by this machine through z test comes out is 0.320.
Given mean of 2 cm and standard deviation of 0.1 cm, The diameter is between 1.9 and 2.1 cm.
We have to find the proportion of defective corks that are produced by machine.
In this problem we have to first find z score and then we will be able to find the probability of defective corks produced by the machine.
Z=(X-μ)/σ
μ=2 cm and σ=0.1 cm.
Z value corresponding to X=1.9.
Z=(1.9-2)/0.1
=-0.1/0.1
=-1
Z value corresponding to X=2.1.
Z=(2.1-2)/0.1
=0.1/0.1
=1
P value of P(-1<Z<1)=2*0.3410=0.6820
Proportion of corks which are not defective=0.6820.
Proportion of corks which are defective=1-0.680.
=0.320
Hence the proportion of defective corks produced by machine is 0.320.
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Alex needs to catch a train. The train arrives randomly some time between $1:00$ and $2:00$, waits for $10$ minutes, and then leaves. If Alex also arrives randomly between $1:00$ and $2:00$, what is the probability that the train will be there when Alex arrives
The probability that the train will be there when Alex arrives is 5/18
If Alex arrives at any time after 1.20pm the chances that train will be there is 1/3.
However if alex arrives at 1.00pm exactly there is no chance the train will be arrive there.
The probability that the train will be there increase linearly to 1/3 as alex's arrival time moves from 1.00pm to 1.20pm.
By arranging the probabilities over the first 20 minutes to get a 1/6 chance the train will be there if alex arrives between 1.00pm to 1.20pm
we get the final answer by
=1/3( 1/6 + 1/3 + 1/3)
=5/18
So, the probability that the train will be there when Alex arrives is 5/18
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Write the domain and range of g using interval notation.
The domain is (-2, 3) and the range is (-3, 4]
How to determine the domain and the range?The domain
This is the possible x values
From the graph, we have the following highlights:
Minimum x = -2Maximum x = 3The endpoints at these intervals is a open circle
Hence, the domain is (-2, 3)
The range
This is the possible y values
From the graph, we have the following highlights:
Minimum y = -3Maximum y = 5The endpoint at the minimum is a open circle, while the maximum is a closed circle
Hence, the range is (-3, 4]
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Can someone help me out on this problem and show work please
Answer:
4230.14
Step-by-step explanation:
2040/1700=1.2
2448x1.2=2937.6
2937.6x1.2=3525.12
3525.12x1.2=4230.144
round to the nearest hundredth
4230.14
brainliest please
Today is march 28 in 6 weeks and 1 day the freshmen class of 2025 will be going on to a carnival staycation what is the date on their field trip
(2x+3)(x-1) Outer
Directions: Indicate the FOIL for the problem
Answer:
[tex]3x^{2} -2x+3x-3[/tex]
Step-by-step explanation:
This is one of the easier things to do so definitely learn how to do it.
You just start by taking the first number in each parenthesis (F) and then multiply. 2x by x is 3x^2
Then take the outer (O) number from both problems, so the leftmost and rightmost number. 2x times -1 is -2x
Then take the two inner (I) numbers, 3 and x. Multiply and get 3x
Then take the last number in each parentheses (L) which is 3 and -1, get -3
What value of m satisfies the equation
m-2=2-m?
Answer:
m = 2
Step-by-step explanation:
m - 2 = 2 - m
2m = 4
m = 2
Hello,
Answer: m = 2
Step-by-step explanation:
m - 2 = 2 - m
⇔ m - 2 + m = 2 - m + m
⇔ 2m - 2 = 2
⇔ 2m - 2 + 2 = 2 + 2
⇔ 2m = 4
⇔ 2m/2 = 4/2
⇔ m = 2
80% of people those who purchase pet insurance are women. If the owners of 9 pet insurance are randomly selected, then find the probability that exactly 6 out of them are women. Find the quartiles of the standard normal distribution.
The probability that exactly 6 out of them are women is 0.176
According to the statement
Number of selected pet owner randomly is 9. So, Here in this case n=9.(number of randomly selected owners).
Number for which have to find the probability is 6. So, Here in this case x=6.
Find the probability by a use of BINOMIAL THEOREM
So, n!/((n-x)!*x!) = 9!/((9-6)!*6!) = 84
Now, find out the probability of success p and probability of failure (1-p)=q.
From here we get p = 0.8 and q= 0.2
Now, use p^x = (0.8)^6 = 0.2621
Then use q^(n-x) = (0.2)^(9-6) = 0.008
Now, Multiply the results obtained to get the probability is
84*0.2621*0.008 = 0.176
So, The probability that exactly 6 out of them are women is 0.176
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A triangle is translated by using the rule (x,y) (x-4,y+2) which describes how the figure is moved ?
Answer:
4 units to the left and 2 units up.
Step-by-step explanation: