No extraneous solution to the equation
The equation given is
3[tex]\sqrt{x}[/tex] = 6
Now we have to find the value of x.
[tex]\sqrt{x}[/tex] = 2
[tex](\sqrt{x} )^{2}[/tex] = [tex]2^{2}[/tex]
x = 4
To find whether it is an extraneous solution or not put the value of x in the given equation.
3[tex]\sqrt{4}[/tex] = 6
3 × 2 = 6
6 = 6
Therefore we get to know that there is no extraneous solution.
x = 4 is the solution of the equation.
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Suppose that a function pairs elements from set A with elements from set B . Recall that a function is called onto if every element in B is paired with at least one element in A .
c. For the domain, is the function onto the set of nonnegative real numbers? Explain.
If a function is onto, then its domain can be a set of all non negative real numbers if the function is defined as y = √ x.
It is not necessary that function that is onto should have the domain as non negative real numbers only.
It can also have negative real numbers in its domain.
If the function is of the form:
y = √ x
Then the function will have a domain that is non negative real numbers.
But if function is of the form:
y = x²
Then it can have the domain as all real numbers.
Therefore, we get that, if a function is onto, then its domain can be a set of all non negative real numbers if the function is defined as y = √ x.
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Please answer the question in the photo! ( will mark brainliest )
The required fill in the blanks is 110° and 360°.
What is angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.
Given:
The figure shows that to find the angle.
According to given question we have
The first answer of the figure is 110°.
Obtuse angle is more than 90° and less than 180°.
The second answer of the figure is 360°.
A full angle, also called a complete angle, round angle, or perigon, is an angle equal to radians.
Therefore, the required fill in the blanks is 110° and 360°.
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a train can travel 50% faster than a car.both start from point A at the same time and reach point B 75kms away from A at the same time . on the way ,however, the train lost about 12.5 minutes while stopping at the stations . the speed of car is? a.100kmph b.110kmph c.120kmph d.130kmph
combine like terms 3x+x+2y
Answer:
If you are just combining like terms then the answer is just 4x + 2y
Hope this helps :)
Describe and correct the error in the solving the equation. X 6(2y + 6) = 4(9+3y) 2y +36 = 36 + 12y 12y = 12y 0=0 The equation has no solution.
Answer:
The equation has infinitely many solutions.
Step-by-step explanation:
6(2y + 6) = 4(9+3y)
2y + 36 = 36 + 12y ----> should be 12y + 36 = 36 + 12y
12y = 12y correct
0 = 0 correct
The equation has no solution. ---> should read "The equation has infinitely many solutions."
Henry and emma want to buy a total of 0.5 yds of fabric. the fabric costs $8.72 per yard. how much will each pay if they want to split the cost evenly? $1.09 $2.18 $2.36 $4.36
If Henry and Emma want to buy a total of 0.5 yds of fabric and the fabric costs $8.72 per yard then the amount each will pay if they want to split the cost evenly is equal to $2.18.
The amount Henry and Emma will have to pay if they want to split the cost can be calculated by using division.
First, we calculate the cost of 0.5 yards of fabric.
1 yard of fabric cost = $8.72
0.5 yards of fabric cost = x
Here x is the cost of 0.5 yards of fabric
8.72 × 0.5 = x
x = $4.36
As the cost of 0.5 yards of fabric is calculated to be $4.36, the amount each will pay if they want to split the cost evenly can be found by dividing the cost of 0.5 yards by 2.
cost of 0.5 yards of fabric / 2 = 4.36 / 2 = $2.18.
Hence each one of them will pay $2.18 if they want to split the cost evenly.
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Perimeter of
6x-2
2x + 4
2y + 4
The right response is Perimeter, x - 2y = 9.
The parameters listed in the question are:
A rectangle's perimeter is equal to 6 x – 2, its length to 2 x + 4, and its width to 2 y + 4.
The perimeter is calculated using the following formula: 2(L) + 2 (W)
6x - 2 = 2(2x + 4) + 2(2y +4) = 4x + 8 + 4y + 8
The result is: x - 2y = 9 and 2x - 4y = 18.
Consequently, the right response is x - 2y = 9.
What is a perimeter?The sum of a polygon's sides is what is referred to as its perimeter. For the perimeter calculation, the shape must be closed. And the polygonal shapes are either one- or two-dimensional.
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15 points given to whoever answers
The table represents a linear function.
What is the slope of the function?
–3
–2
3
4
Answer:
The slope of the function is 3
Step-by-step explanation:
To find the slope
Find the change of y over change of x or (Y²-Y¹)/ (X²- X¹) Pick two points on the table for demonstration purposes (1,7) and (2,10) Apply the formula to the points If you can divide your fraction to the simplest form the slope is three*This method works for any other two other points and the work is in the attachment above*
There are 496 black sedans in the parking lot and 640 non-black sedans in the parking lot. what is the ratio of non-black sedans to black sedans? write your answer as a simplified fraction.
There are 496 black sedans in the parking lot and 640 non-black sedans in the parking lot. The ratio of non-black sedans to black sedans is
40 : 31
Define Ratio ?
the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
There are 496 black sedans in the parking lot and 640 non-black sedans in the parking lot.
what is the ratio of non-black sedans to black sedans
divide by 2 , both the terms
640 : 496
320 : 248
160 : 124
80 : 62
40 : 31
Hence , There are 496 black sedans in the parking lot and 640 non-black sedans in the parking lot. Then the ratio of non-black sedans to black sedans is 40 : 31
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A school increases its intake by 10%. if it starts with 1000 students, how many will it have at the beginning of the fourth year of expansion?
I don't know what to do.. please help
Answer:
A and c
Step-by-step explanation:
Answer the 3 question in the photo
[easy points]
Answer:
answer below
Step-by-step explanation:
1.the shape below has 4 edges
2.the shape below has 5 faces
3.the shape below has 8 edges
PLEASE HELP ME ASAP!!! THIS IS DUE IN A FEW MINUTES!!!!!!
Answer:
A
Step-by-step explanation:
we need to find what they equal so we put them as equations against each other
if a magical coin doubles every day how much days would it take for the number of magical coins to exceed 50,000 ?
It would take 16 days for the number of magical coins to exceed 50,000.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let y represent the number of magical coins available after x days. this can be represented by:
y = 1(2)ˣ
To exceed 50000 coins:
50000 = 1(2)ˣ
x = 15.6
It would take 16 days for the number of magical coins to exceed 50,000.
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You get your hair cut at a shop that charges $30. They offer you a deal: If you prepay $150 for five haircuts, they'll give you a punch card that entitles you to a sixth haircut free. The punch cared expires in one year. Is this a good deal?
yes, it is a good deal as long as you use the card before a year.
Is this a good deal?Let's see how much you will save if you pay the $150.
If you want 6 hair cuts, you need to pay $30 6 times, so the total cost will be:
C = $30*6 = $180
If instead, you prepay $150, then you get the 6 cuts only for $150, saving a total of $30 (but the downpayment is 5 times larger than in the other case), but only if you plan to use the punch card for the other cut in the year, if you don't then this option does not make sense.
So, yes, it is a good deal as long as you use the card before a year.
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Let f(x)=2 x+5 and g(x)=x²-3 x+2 . Perform each function operation, and then find the domain.
f(x) / g(x)
The given values f(x) / g(x) =2 x+5 / x²-3 x+2
What are the domain of the function f(x) / g(x)Given: f(x)=2 x+5 and g(x)=x²-3 x+2
f(x) / g(x) =2 x+5 / x²-3 x+2
The function operation of f(x) / g(x) =2 x+5 / x²-3 x+2
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The assignment for this lesson is to use properties of exponents to compare the growth in the populations of two organisms.
Answer:
The population of a species that grows exponentially over time can be modeled by P(t)=Pe^(kt), where P(t) is the population after time t, P is the original population when t=0, and k is the growth constant.
Step-by-step explanation:
this is from my science
i hope it helped!!!!!!
Choose the reasonable product of each expression Explain your reasoning 3.14×7
Based on the product expression, the estimate of the product expression 3.14 x 7 is 22
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
What are rational expressions?Rational expressions are expressions that are represented by the quotient of two polynomials or radicals.
This means that, a rational expression is represented by a fraction whose numerator and denominator are polynomials or radicals
How to evaluate the expression?The expression is given as
3.14 x 7
Rewrite 3.14 as a rational expression
So, we have
3.14 x 7 = 314/100 x 7
Evaluate the product of 314 and 7
So, we have
3.14 x 7 = 2198/100
Evaluate the quotient of 2198 and 100
So, we have
3.14 x 7 = 21.98
Approximate the above expression
So, we have
3.14 x 7 = 22
Hence, the estimate of the product expression 3.14 x 7 is 22
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A small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80% of its capacity. if pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30%. what is the total capacity of the pool in gallons?
The total capacity of pool in gallons is 1625.
Let us assume the water in the pool be x liters. Forming the equation according as per the statement in question -
x + 300 = 80% of total volume - Equation 1
Forming the equation according to second statement -
30% × x = 300
30/100 × x = 300 - Equation 2
Finding the initial volume of water using equation 2-
x = 300×100/30
Cancelling zero and performing division and multiplication to find the initial volume of water
x = 1000 gallons
Now finding the total volume or capacity of pool by keeping the value of x in first equation -
1000 + 300 = 80/100 × total volume
Total volume = 1300×100/80
Performing multiplication and division to find the total capacity of pool
Total capacity of pool = 1625 gallons
Hence, the total capacity of pool in gallons is 1625.
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13. Name the property of equality that justifies the following statement:
If l = m, then m = l.
a. Symmetric Property
b. Subtraction Property
c. Reflexive Property
d. Multiplication Property
Gwendolyn draws a hotdog on graph paper using the scale shown below. The hotdog has a length of 999 units in the drawingWhat is the length, , c, m, of the actual hotdog?
The length of the actual hotdog is 15 cm
How to determine the length of the actual hotdog?The graph that completes the question is added as an attachment
The length of the hotdog in the figure is given as
Length = 9 units
The scale is given as
Scale: 6 units = 10 cm
So, we have
6 * 9 units = 10 * 9 cm
Divide both sides by 6
So, we have
9 units = 15 cm
Substitute 9 units = 15 cm in Length = 9 units
Length = 15 cm
Hence, the length of the actual hotdog is 15 cm
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Write each expression in simplest form. (x²/x⁻¹¹)¹/₃
The result of simplifying the expression (x²/x⁻¹¹)¹/₃ using the exponent rules is [tex]\sqrt[3]{}[/tex](x¹³)
To solve this exercise we have to resolve algebraic operations following the exponent rules.
(x²/x⁻¹¹)¹/₃
Using the quotient rule that indicates that: the exponent result will be the subtraction of these exponents, we have:
(x⁽²⁻⁽⁻¹¹⁾)¹/₃
(x⁽²⁺¹¹⁾)¹/₃
(x¹³)¹/₃
Using the power of a power rule that indicates that: the exponent result will be the multiplication of these powers, we have:
x⁽¹³*¹/₃⁾
x⁽¹³/₃⁾
As we have a fractional exponent, you must convert the exponent to root:
[tex]\sqrt[3]{}[/tex](x¹³)
What is an exponent?In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.
Example: 3² = 3*3 = 9
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WILL GIVE BRAINLIST!
Describe and correct the error in solving the equation.
Answer:
Step-by-step explanation:
In order to cancel the coefficient of P you have to divide both sides by the coefficient not add the coefficient to both sides.
-2/3p = 4
-2/3p / -2/3 = 4 / -2/3 (Multiply both sides by -2/3 to isolate p)
p = 4 / 2/3 ([tex]\frac{4}{1} (-\frac{2}{3} ) = -\frac{8}{3}[/tex])(keep change reciprocate)
p = -8/3
A circular mosaic has radius 3 meters. Find the area. Round your answer to the nearest hundredth.
Group of answer choices
56.52 square meters
18.84 square meters
28.26 square meters
6.14 square meters
A circle is a round-shaped figure that has no corners or edges. If a circular mosaic has radius 3 meters then the area is 28.26 square meters.
What is Circle?A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.
Given that a circular mosaic has radius 3 meters.
We need to find the area of circular mosaic.
Area of circle=πr²
Here r=3
π=3.142
Substitute the values of pi and r in Area formula
Area =3.142*3²
=3.142*9
=28.26
Therefore area of circular mosaic is 28.26 square meters.
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What is the answer to this: ( Image below) Pls help, thanks!
The perimeter of the polygon is 232 units
Perimeter of a polygonFrom the question, we are to determine the perimeter of the regular polygon
From the diagram,
One of the polygon's side length is (4/3)x - 1/3
and another side length is x + 7
Since the figure is a regular polygon, we can write that
(4/3)x - 1/3 = x + 7
Now, solve for x
(4/3)x - 1/3 = x + 7
Multiply through by 3
4x - 1 = 3x + 21
4x - 3x = 21 + 1
x = 22
One of the polygon's side length is x + 7
∴ One side length = 22 + 7
One side length = 29
Since the polygon has 8 sides,
The perimeter of the polygon will be
8 × 29
= 232 units
Hence, the perimeter of the polygon is 232 units
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Factor each expression.
4 x²+17 x+15
After solving, the factors of equation 4x²+17x+15 are:
(x+3) and (4x+5)What clearly is an equation?An equation is a mathematical statement composed of two representations joined by an equal sign.An example of an equation is 3x - 5 = 16.After solving this equation, we obtain the value for the variable x as x = 7.So,
Given the equation: 4x²+17x+15
Then,
4x²+17x+154x²+x( + )+154x²+x(12+5)+154x²+12x+5x+154x(x+3)+5(x+3)Factors are: (x+3) and (4x+5)
Therefore, after solving, the factors of equation 4x²+17x+15 are:
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ppppppllllllssss hhhhheeeeellllpppppppp
Answer: its a 18
Step-by-step explanation:
To the nearest tenth, estimate √67.
Answer:
Step-by-step explanation:
8.2
Answer: 8.2
Step-by-step explanation:
sqrt(67) is more than sqrt(64) which is 8, but far from sqrt( 81) which is 9. It is less than half the disnatce between the two and therefore is less than 8.5.
Just put it in a calculator.....
Solve -3 < 2x + 3 < 5
The solution of the given Inequality i.e. -3<2x+3≤5 is x > -3 and x ≤1 (option B).
Inequality:
When the symbols ">", "<", "≤", or "≥" are used to connect two real numbers or algebraic expressions, that relationship is known as an Inequality.
Here the given Inequality is -3<2x+3≤5
⇒ -3<2x+3≤5
⇒-3-3 < 2x+3-3 ≤ 5-3 { add -3 on both the sides }
⇒-6 < 2x ≤ 2
⇒-3 < x ≤ 1
⇒-3 < x and x ≤ 1
⇒ x > -3 and x ≤1
Therefore,The solution of the given Inequality i.e. -3<2x+3≤5 is x > -3 and x ≤1 (option B).
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Which is an equivalent expression for this please