Answer:
x=3
Step-by-step explanation:
Answer: x=3
Step-by-step explanation:
First, you need to subtract x and x by itself, and do the same with the 3x. Your equation should now look like 6 = 2x. Now, divide each side of the equation with 2, and now your equation should look like 3 = x!
-----------------------
So, to double check, replace the x's with 3. The equation should be 3 + 6 = 3(3). If you do the math, it equals 9 = 9!
Use a graphing utility to approximate the solutions of the equation in the interval [0, 2). Find the exact solutions algebraically. (Enter your answers as a comma-separated list.)
3 tan(2x) − 3 cot(x) = 0
An integral graph with graph spectrum is the utility graph.The utility graph's adjacency, incidence, and graph distance matrices are displayed in the aforementioned graphs.
Find the exact solutions algebraically?These technologies enable users to mathematically represent their ideas, dynamically link several representations, form hypotheses, and finally create totally new concepts.
Use a graphing utility
See attached file
The value of X in the interval [0, 2π) are
X1=0
X2=π/2-----1.5708
X3=π------- 3.1416
Values of X (0,1.5708,3.1416)
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What is the solution set for 5x−5=15, given the replacement set {0, 1, 2, 3, 4}?
Responses
x = 4
x, = 4
x = 3
x, = 3
x = 2
x, = 2
x = 1
x, = 1
x = 0
The solution to the equation 5x - 5 = 15 in the replacement set is x = 4
How to solve the equations using the replacement sets?From the question, we have the following equation that can be used in our computation:
5x - 5 = 15
The replacement set is given as
{0,1, 2, 3, 4}
So, we replace the variables using the elements in the replacement set
When x = 0, we have
5(0) - 5 = 15
-5 = 15 -- false
When x = 1, we have
5(1) - 5 = 15
0 = 15 -- false
When x = 2, we have
5(2) - 5 = 15
5 = 15 -- false
When x = 3, we have
5(3) - 5 = 15
10 = 15 -- false
When x = 4, we have
5(4) - 5 = 15
15 = 15 -- true
Hence, the value of the equation is x = 4
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If f(x)= (x+3)(3x-5)-4, what is the value of f(3)-f(-2)? Type your answer in the box
If function f(x) = (x+3)(3x-5) - 4, the value of f(3) - f(-2) is 35
The function is
f(x) = (x+3)(3x-5) - 4
We have to find the value of f(3) - f(-2) ,to find that find the value of f(3) and f(-2) separately.
The function is
f(x) = (x+3)(3x-5) - 4
Substitute the values in the equation
f(3) = (3+3)(3×3 - 5) - 4
= (6) × (9-5) - 4
= 6 × 4 -4
= 24 - 4
= 20
The value of f(3) = 20
f(-2) = (-2+3)(3×-2 - 5) - 4
= 1 × (-6-5) -4
= 1 × (-11) - 4
= -11 - 4
= -15
The value of f(-2) = -15
Then,
f(3) - f(-2) = 20 - (-15)
= 20 + 15
= 35
Hence, if function f(x) = (x+3)(3x-5) - 4, the value of f(3) - f(-2) is 35
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If the area to the left of x in a normal distribution is 0.193, what is the area to the right of x?
The area to the right of x in the normal distribution is 0.807
What is the normal distribution?The normal distribution is the probability distribution that helps to find the probability for continuous variables.
For a probability x, for a normal distribution, we have that
P(X ≤ x) + P(X ≥ x) = 1
How to find the area to the right of x?Since the area to the left of x in a normal distribution is 0.193, we require the area to the right of x.
Since P(X ≤ x) + P(X ≥ x) = 1 where
P(X ≤ x) = area to the left of x P(X ≥ x) = area to the right of xMaking P(X ≥ x) subject of the formula, we have that
P(X ≥ x) = 1 - P(X ≤ x)
Given that P(X ≤ x) = 0.193
Substituting this into the equation, we have
P(X ≥ x) = 1 - P(X ≤ x)
P(X ≥ x) = 1 - 0.193
P(X ≥ x) = 0.807
So, the area to the right of x is 0.807
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Describe a real life siuation for each problem
1. -3 + (-4)
2. -3 (+2)
Answer:
1. I'm $3 in debt, and I spend 4 more dollars. I am now 4 dollars more in debt than I was before.
2. I'm $3 in debt, and I pay back $2 of debt. I am now $1 in debt.
Step-by-step explanation:
-Hope this helped
A ramp goes from a doorway of a building to the ground. The end of the ramp connected to the doorway is 1 foot above the ground. The distance along the ramp to the building is 5 feet. What is the angle of elevation of the ramp to the nearest degree?
A. 11°
B. 0°
C. 12°
D. 1°
please help?!
The angle of elevation of the ramp to doorway of a building to the ground is found as 11°.
What is described as the trigonometric functions?Simply put, trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. This means that these trig functions provide the relationship here between angles as well as sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.The ramp is the hypotenuse of a right angle triangle formed by the doorway, the ground, and the ramp.
The ramp's elevation angle is the angle Ф it makes with the ground.
Apply the tan function;
Tan Ф = length of doorway/ distance along ramp of building
Tan Ф = 1/5
Ф = 11°
Thus, the angle of elevation of the ramp to doorway of a building to the ground is found as 11°.
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Sandy works at a clothing store. She makes $9 per hour plus earns 15% commission on her sales. She worked 71 hours over the last two weeks and had a total of $2,046 in sales before taxes.
Which of the following is closest to how much she will earn in hourly wages and commission for those two weeks?
Sandy earn 306.9 dollars in commission and 1739.1 dollars in hourly wages.
How to find Sandy hour wages and commission?Sandy works at a clothing store. She makes $9 per hour plus earns 15% commission on her sales.
She worked 71 hours over the last two weeks and had a total of $2,046 in sales before taxes.
The amount she will earn in her hourly wages and commission is as follows:
amount earn in commission = 15% of 2046
amount earn in commission = 15 / 100 × 2046
amount earn in commission = 30690 / 100
amount earn in commission = 306.9 dollars
Therefore,
amount earn in hourly wages = 2046 - 306.9
amount earn in hourly wages = 1739.1 dollars.
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rajesh is working out the are of the cirle with radius 10 he writes area=3.142x20 explain why rajesh is wrong
Answer:
100π = 314.1592654
Step-by-step explanation:
area of a circle πr²
π×10²
10×10 =100
100×π
You are on a safari and pass by some hippos and birds (the kind
that hang out on top of the hippos). You see a total of 42 animals ane
114 legs. how many of each animal were there?
Answer:
15 hippos27 birdsStep-by-step explanation:
You have a total of 114 legs among hippos and birds, of which there are a total of 42. You want the number of each kind of animal.
SetupLet h represent the number of hippos. Then 42-h is the number of birds, and the total number of legs is ...
4h +2(42 -h) = 114
SolutionSimplifying the equation gives ...
2h +84 = 114
2h = 30 . . . . . . subtract 84
h = 15 . . . . . . . . number of hippos
42 -h = 27 . . . . number of birds
There were 15 hippos and 27 birds.
David and Vicky share £36 in the ratio 2:7. How much do they each
receive?
David share is £8
Vicky share is £28
From the question, we have
David and Vicky share £36 in the ratio 2:7.
David share = £36 *2/9 = £8
Vicky share = £36 *7/9 = £28
Multiplication:
The product of the numbers is what is obtained in mathematics when two or more numbers are multiplied. We frequently perform it since it is one of the fundamental mathematical operations. Using multiplication tables is the most straightforward use. In mathematics, adding a number repeatedly in relation to another is represented by multiplying two integers. These figures can be natural figures, whole figures, fractional figures, integer figures, or other figures. When m is multiplied by n, m is either added to itself n times or multiplied by n.
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Please Help
Find (f-g)(x) if f(x)--3x2+2x-3 and(x)=2x2-3x+4
The function operation (f - g)(x) of the functions f(x) = -3x² + 2x - 3 and g(x) = 2x² - 3x + 4 is -5x² + 5x - 7.
What is the function operation (f - g)(x) of the given functions?A function is simply a relationship that maps one input to one output.
Given the functions in the question;
f(x) = -3x² + 2x - 3g(x) = 2x² - 3x + 4(f - g)(x) = ?To determine the function operation (f - g)(x), replace the function designators with the real functions and simplify.
(f - g)(x) = f(x) - g(x)
(f - g)(x) = ( -3x² + 2x - 3 ) - ( 2x² - 3x + 4 )
Apply distributive property to eliminate the parenthesis.
(f - g)(x) = ( -3x² + 2x - 3 ) - ( 2x² - 3x + 4 )
(f - g)(x) = -3x² + 2x - 3 - 2x² + 3x - 4
Collect and add like terms
(f - g)(x) = -3x² - 2x² + 2x + 3x - 3 - 4
(f - g)(x) = -5x² + 5x - 7
Therefore, the function operation (f - g)(x) is -5x² + 5x - 7.
Option A is the correct answer.
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Based on problems 1-3, what can you conclude about
triangle ABC's orthocenter if x is less than 90°?
What happens to the orthocenter as x increases towards 90°?
What happens to the orthocenter as x reaches 90°?
What happens to the orthocenter as x increases to larger than 90°?
Answer:
Step-by-step explanation:
smaller
larger
bigger
larger
Parallel lines l, m, and n are shown. If line l is mapped to line m and line m is mapped to line n, what is true for the transformation that took place?
Line m was translated down 4 units.
Line m was translated up 4 units.
Line n was translated up 8 units.
Line l was translated down 8 units.
Line l was translated down 8 units, is true for the transformation that took place.
What is transformation?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
Given that, parallel lines l, m, and n are shown. If line l is mapped to line m and line m is mapped to line n,
We can see line is the original line is l which is first mapped into line m then into line n, so, we can say line is mapped to n.
Hence, Line l was translated down 8 units, is true for the transformation that took place.
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Evaluate the algebraic expression for the given values of the variables.
x²-13(x-y), for x = 7 and y=4
When x = 7 and y=4, x² - 13(x - y) =
The answer to the algebraic expession is 10.
What is algebraic expression?
An expression constructed using integer constants, variables, and algebraic operations is known as an algebraic expression.
Main Body:
We have to find the value of x²-13(x-y) at x=7 and y=4
Now substitute the value of x,y in the expression
=(7)²-13(7-4)
= 49-13(3)
= 10
Hence the answer is 10.
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log x + 5 log y -4 log z rewrite as a single logarithm
Solution :
[tex]\qquad \sf \dashrightarrow \: log(x) + 5 \: log(y) - 4 \: log(z) [/tex]
[tex]\qquad \sf \dashrightarrow \: log(x) + \: log(y {}^{5} ) - \: log(z {}^{4} ) [/tex]
( a log(x) = log(x^a) )
[tex]\qquad \sf \dashrightarrow \: log( x {y}^{5} ) - log(z {}^{4} )[/tex]
( log (a) + log (b) = log (ab) )
[tex]\qquad \sf \dashrightarrow \: log( \frac{ x {y}^{5} }{z {}^{4} }) [/tex]
( log (a) - log (b) = log (a/b) )
A cuboid box has a square base and a height of 0.8 m, as shown in the diagram below. If
the volume of the box is 0.288 m3
, calculate the total surface area of the box.
Answer:
c
Step-by-step explanation:
because the explanation its just c
5. Describe a relationship between the two variables shown in this graph. Be
sure to include a description that includes the whole pattern of what happens
to the money during the tone shown.
Time please help asap
The relationship between the variables is that an increase in the degree of slope cause an increase in the loss of soil
How to describe the relationship between the variables?The possible graph that completes the question is added as an attachment
From the attached graph, we have the variables represented to be
Degree of slope - on the x-axisLoss of soil - on the y-axisNext, we determine the relationship
To start with:
The relationship between the variables on a graph is simply the end bahavior of the graph
In this case, we can see that:
As the degree of the slope increases, the loss of soil also increase
However, the increase in the slope does not cause a constant increase in the loss of soil
The loss of soi starts by increasing slowly as the degree of slope increases, then the loss of soil increases sharply as the degree increases further
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An Olympic-size swimming pool holds approximately 6×105 gallons of water. The capacity of this swimming pool is between which interval?
The capacity of this swimming pool is between B. 500 gallons to 1,000 gallons.
What is the capacity?Capacity refers to the product of the length, width, and height of a three-dimensional object or space.
The capacity of an object means the same as its volume.
Olympic-size swimming pools have the following standard dimensions:
Length = 50 m
Width = 25 m
Height = 2 m
Capacity of an Olympic swimming pool = 2,500 m³ (50 x 25 x 2)
= 660,000 gallons (2,500 x 1,000 ÷ 3.785)
An interval estimate shows the lower and upper limits.
6 x 105 gallons = 630 gallons
Thus, the capacity of the swimming pool is Option B.
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Question Completion with Answer Options:A. 100 gallons to 500 gallons
B. 500 gallons to 1,000 gallons
C. 1,000 gallons to 1,500 gallons
D. 1,500 gallons to 2,000 gallons
Find two positive numbers whose difference is 20 and whose product is 429.
Classify the following number: 5√2. Choose all that apply.
Answer:
Real, Irrational
Step-by-step explanation:
5sqrt2 is NOT:
Natural (1,2,3...)
Whole (0,1,2,3...)
Integer (...-3,-2,-1,0,1,2,3...)
Rational (can be written like a ratio)
Imaginary (have the number i in it.)
It IS Irrational, will have neverending decimal with no repeating pattern.
5sqrt2 = 7.0710678119...
It IS REAL and IRRATIONAL.
The monthly output at the Olek Carpet Mill is
Q(x) = 15,000 + 2x2 units, (40 ≤ x ≤ 60)
where x is the number of workers employed at the mill. If there are currently 46 workers, find the instantaneous rate of change of monthly output with respect to the number of workers. That is, find Q'(46).
Q'(46) =
The instantaneous rate of change of monthly output with respect to the number of workers is equal to 184.
What is the instantaneous rate of change?The instantaneous rate of change can be defined as a type of function that describes the average rate at which a quantity increases or decreases with respect to another quantity at a particular instant.
In Mathematics, the instantaneous rate of change can be calculated by taking the derivate of the function with respect to an independent variable. This ultimately implies that, the instantaneous rate of change is equivalent to the change in the derivative value at a particular instant.
Taking the derivate of the given function, we have:
Q(x) = 15,000 + 2x²
Q'(x) = d/dx(15,000) + d/dx(2x²)
Q'(x) = 0 + 2x(2)
Q'(x) = 4x.
At x = 46, we have:
Q'(x) = 4(46)
Q'(x) = 184.
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Complete Question:
The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x² units, (40 ≤ x ≤ 60), where x is the number of workers employed at the mill. If there are currently 46 workers, find the instantaneous rate of change of monthly output with respect to the number of workers. That is, find Q'(46).
Q'(46) =
If the random variable Zhas a standard normal distribution, then P(1.17 S ZS 2.26) is
The value of P(1.17 <= Z <= 2.26 ) is 0.1091
From the question, we have
Z value for 1.17 is 0.8790
Z value for 2.26 is 0.9881
P(1.17 <= Z <= 2.26 ) = 0.9881 - 0.8790 = 0.1091
Probability:
Probability refers to possibility. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.
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What is the slope of the line that passes through the points (-6, -7) and (-3, -2)?
I need help! could someone help me with this? is from Imagine Math
Answer:
1st: One solution
2nd: Infinite many solutions
3rd: No solution
4th: No Solution
5th: One Solution
Step-by-step explanation:
1st:
The solution is (6,9)
x = 6 if a vertical line going though (6,0)
y = 9 is a horizontal line going through (0,9)
The two lines with intersect at (6,9)
2nd:
3y = 15x + 6 If you divide all the way through by 3, you get
y = 5x + 2
This is identical to the first equation given. Since it is the same line, the answer is infinite many solutions.
3rd:
3y = x + 2 Divide all the way through by 3
y = 1/3 x + 2/3
9y = 3x + 7 Divide all the way through by 9
y = 1/3 x + 7/9
Since the slopes are the same in both equations (1/3), these line are parallel and will never intersect.
4th:
Since the slopes are both the same (2), the lines are parallel and they will never intersect, so the answer is no solution.
5th:
2y = 3x Divide both sides by 2
y = 3/2
-5y = -10 Divide both sides by -5
y = 2x
These equations are proportional so they go through the origin. They both have a y intercept of zero, so they intersect at (0,0). The answer is one solution.
In an electrical circuit, the current passing through a conductor varies inversely with the resistance. Suppose that when the current is 10 A (amperes), the resistance is 13 ohms. What is the resistance when the current is 26 A?
Answer:
33.8ohms
Step-by-step explanation:
10A : 13ohm
26A : 33.8ohm
Graph the polygon with the given vertices and its image after a reflection in the line y = -x .
A(2, 0), B(3, 4), C(6, 4), D(5, 0)
As per the concept of transformation, the image of the polygon after a reflection in the line y = - x is has vertices at A(0,-2), B(-4,-3), C(-4,-6), D(0,-5) as shown in the diagram attached below.
Transformation:
Transformation refers the movement of a point from the initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.
Given,
Here we have the vertices A(2, 0), B(3, 4), C(6, 4), D(5, 0) and the equation for line y = -x.
Now we have to plot the graph with the given vertices and its image after a reflection in the line y = -x .
Here reflection refers flipping of a figure.
Therefore, if a point A(x, y) is reflected about the line y = - x, the new point would be at A'(-y, -x)
For the given the polygon with vertices at A(2, 0), B(3, 4), C(6, 4), D(5, 0) and the image of the polygon after a reflection in the line y = -x has vertices at:
A(0,-2), B(-4,-3), C(-4,-6), D(0,-5)
The image of the polygon is attached below.
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The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
Answer:
y2−5y=750
750 -y(y-5)=0750−y(y−5)=0 and (y+25)(y-30)=0
a man travels xkm at 60 km per hour and ykm at 40 km per hour and takes 11/4 hours for the Journey,if the time taken for 5x km at 40 km per hour and 3y km at 50 km per hour is 11 hours 42 minutes find X and Y
The value of the x is 60 km and the value of the y is 70 km.
Given that a man travels x km at 60 km/h and y km at 40 km/h and the total time traveled is 11/4 i.e 2.75 h.
Let's suppose that the time traveled for the x km is t1, time traveled for the y km is t2 and total time is T ,so by using the speed distance formula t1 & t2 will be :
t1 = x/60 and t2 = y/40 ;
T = t1 + t2;
i.e 2.75 = x/60 + y/40 ;
Multiply both sides with 120,
330 = 2x + 3y ............i
Now given that man traveled 5x km at 40 km/h and 3y km at 50 km/h in total time of 11. 7 hours. Similarly the equation for this situation will be :
T = t1 + t2;
x/8 + 3y/50 = 11.7 ;
Multiply both sides with 200, we will get
25x + 12y = 2340 .........ii
Now by simplifying the equation i and ii we will get the value of x and y which are 60 and 70 respectively.
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Simplify
8(x + 3)^2/2(× + 3)
Answer:
[tex] = \frac{8(x + 3) {}^{2} }{2(x + 3)} = 4(x + 3) = 4x + 12[/tex]
Hopefully this will help u
The numbers 1000, 1001, 1002, 2000 are all in base 10. Rewrite all of the
numbers in base 5 and find the base 5 number whose digits have the least sum. What
is this number written in decimal notation?
Rewriting all numbers in base 5
1000 = 13000
1001 = 13001
1002 = 13002
2000 = 31000
The base 5 number whose digits have least sum are 13000 and 31000
The decimal notation of the numbers are 1000 and 2000
Define unit number.
The rightmost point in a number or the number one are both acceptable definitions of the word "unit" in mathematics. A unit can also be an item or a person that is seen as distinct and whole but is actually a component of a whole or group. An identification number for a unit in a declaration is referred to as a unit number.
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