Equation 4x222-12x+9=5 has a solution of x= -√4-3. It is said to be linear when an equation has the form y=mx+b .
what is equation ?In algebra, a linear equation is one with the form y=mx+b. B is the slope, and m is the y-intercept. Because y and x are variables, the previous sentence is frequently referred to as a "linear equation with two variables." Bivariate linear equations are those with two variables. There are various examples of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation has the formula y=mx+b, where m denotes the slope and b the y-intercept, it is referred to as being linear. It is said to be linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.
given
4x²2²-12x+9=5
8x2 - 12x +4 = 0
8x2 - 6x - 6x +4 = 0
2x(4x - 3) - 2(3x +2) = 0
Equation 4x222-12x+9=5 has a solution of x= -√4-3 . It is said to be linear when an equation has the form y=mx+b .
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Jason plots three points on a coordinate plane and sees that they do not create a function the three points he plots are (-2,5),(-5,9),(x,-3)
The possible values of x, so that the relation does not form a function, is given as follows:
x = -2 or x = -5.
When does a relationship represents a function?To verify whether a relation represents a function, we need to observe if each input is mapped to only one output.
The points for the function in this problem are given as follows:
(-2,5),(-5,9),(x,-3)
The meaning of each point is that:
(-2,5): input of -2 is mapped to an output of 5.(-5,9): input of -5 is mapped to an output of 9.(x, -3): input of x is mapped to an output of -3.The relation is not a function, meaning that the value of x is either of x = -2 or x = -5, which are already mapped to another value of x.
Missing InformationThe problem asks for the values of x so that the relation is not a function, considering the three points that were given on the problem.
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3 of 10
What is the connection between goals and savings?
Goals can give you a reason to save.
You can save goals.
You can buy goals.
Goals are not connected to savings.
Next →
Answer: Goals can give you a reason to save.
Step-by-step explanation: Because You cant Save your goals, Buy your goals or Not connect to savings. I wish my answer was usefulA line is drawn so that it passes through the points (-5,0) and (5,4). What is the slope of the line? Round the answer to the tenths place. If the answer is a whole number than make the tenths place a zero to be counted as correct.
The slope of a line is calculated using the formula slope = (y2 - y1) / (x2 - x1). the answer is 2.0.
In this case, the formula would be slope = (4 - 0) / (5 - (-5)) = 4 / 10 = 0.4.
When rounded to the tenths place, the answer is 2.0.
The slope of a line is calculated by applying the formula slope = (y2 - y1) / (x2 - x1). In this particular problem, the formula would be slope = (4 - 0) / (5 - (-5)) = 4 / 10 = 0.4. Since the answer needs to be rounded up to the tenths place, the answer is 2.0. This answer can be verified by graphing the two points given and using the line of best fit to measure the slope. The line passes through the two given points (-5, 0) and (5, 4) and has a slope of 2.0.
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Solutions
2
1) f(x) = x, and the transformed version of the function, g(x)
=
f(2(x + 1)) - 10
Answer:
Step-by-step explanation:
its 6
Is it possible to construct a triangle whose sides are 4.8 cm 6.2 cm and 12 cm if not why?
It is not possible to construct a triangle whose sides are 4.8 cm 6.2 cm and 12 cm because the sum of two sides (4.8 and 6.2) are smaller than third sides(12).
In the given question, we have to check that it is possible to construct a triangle whose sides are 4.8 cm 6.2 cm and 12 cm.
The sum of the two sides must always be greater than the third side in order to determine whether or not the given sides may form a triangle.
To check this we firstly add the 4.8 and 6.2
4.8 + 6.2 < 12
11 < 12
Now we add 6.2 and 12
6.2 + 12 > 4.8
18.2 > 4.8
Now we add 4.8 and 12
12 + 4.8 > 6.2
16.8 > 6.2
It is not possible to construct a triangle whose sides are 4.8 cm 6.2 cm and 12 cm because the sum of two sides (4.8 and 6.2) are smaller than third sides(12).
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The table shows the length, in inches, of fish in a pond.
15 18 9 22
7 15 10 18
Determine if the data contains any outliers. If so, list the outliers.
There is an outlier at 22.
There is an outlier at 7.
There are outliers at 7 and 22.
There are no outliers.
In the table that shows the the length, in inches, of fish in a pond, there are no outlier. Last option
What is an outlier in mathematics?In mathematics, an outlier is a value that is significantly different from the other values in a dataset. Outliers can be caused by measurement error, data entry errors or by extreme values that are genuinely different from the bulk of the data. They can skew the overall picture of the data and can affect the results of statistical analyses.
Outliers can be identified in several ways, one way is to use a box-and-whisker plot, which shows the distribution of a dataset by displaying the minimum, first quartile, median, third quartile, and maximum values.
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Answer: D
Step-by-step explanation:
I got it right on the test
Fisherman catches in fish their total mass is 15kg write down the average mass of fish in terms of n. if the average mass of a fish was 3/4 kg. Find the number of fish caught
Therefore , the solution of problem of average the number of
fish caught is 20.
How can we determine the average?Average The arithmetic mean is calculated by adding a set of numbers, dividing by their count, and then taking the result.
For instance, the result of 30 division by 6 is 5, which is the average of 2, 3, 3, 5, 7, and 10.
Here,
Given,
total mass of fish=15kg
average of fish=3/4kg
number of fish=?
Number of fish=total mass/average
number of fish=15/(3/4)=20
Therefore , the solution of problem of average the number of times is
fish caught is 20.
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What is the solution of 7x 9 16?
The solution of 7x -9 = 16 is x = 25/7. It is called a linear equation as it contains a highest degree of 1.
The general form of a linear equation is ax + by + c = 0, where a, b, c are real numbers and at least one of a or b is not zero.
In the given equation above, 7x - 9 - 16 = 0.
7x - 25 = 0
Here, a = 7, b = 0, c = -25
To find the solution of this equation, we must make x as subject.
7x - 25 = 0
7x = 25
x = 25/7
Thus, the required solution of the given equation is calculated to be 25/7.
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what is the diameter of the semi circle whose perimeter is 54
Answer:
The diameter will be equal to twice the radius. Therefore, Hence, the radius and the diameter are equal to 10.5 cm and 22 cm
which statement best describes the liquid state of matter
a) it has define shape but indefinite volume
b) it has define shape and definite volume
c) it has indefinite shape and indefinite volume
d) it has indefinite shape but define volume
D) it has indefinite shape but define volume
Liquids take shape of whatever container you put them in but flow freely if un-restrained, it has a volume because it doesn't grow or disappear unless acted upon
Find the finance charge for a $4,000, 2-year loan with a 4% APR.
The finance charge for a $4,000, 2-year loan with a 4% APR would be $320.
What does finance charge mean in finance?A finance charge is the interest we will pay on a debt and it's generally used in the context of credit card debt. A finance charge is normally calculated by using your annual percentage rate, or APR, the amount of money you owe, and the time period.
To calculate the finance charge, you would use the formula: Finance Charge = (APR/12) x Principal x Time (in months)
In this case: Finance Charge = (4/100/12) x $4,000 x 24 = $320.
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if triangle KLJ ~ to triangle VWU, find the value of x. (LK=25, KJ=4x-23, UV=2x+2, WV=20)
In the given diagram, using similar triangles theorem, the value of x is 17
Similar triangle: Calculating the sides of a triangleFrom the question, we are to determine value of x in the given diagram
From the similar triangles theorem, we can write that
JK/KL = UV/VW
From the given information,
JK = 4x - 23
KL = 25
UV = 2x + 2
VW = 20
Thus,
(4x - 23)/25 = (2x + 2)/20
20(4x - 23) = 25(2x + 2)
80x - 460 = 50x + 50
80x - 50x = 50 + 460
30x = 510
x = 510/30
x = 17
Hence, x is 17
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Monsieur le Gacy supports Paris St Germain Football Club. He went to twenty games last season.
They either played their matches at home or away.
• 60% of the games he attended were at home,
●
. The team won 2/3 of the home games,
They won 50% of all games Monsieur le Gacy attended.
●
How many games of the twenty did they win away from home?
The number of games that the team won away from home is given as follows:
2 games.
How to obtain the number of wins away from home?The number of games that the Paris Saint Germain team won away from home is obtained applying the proportions given in the context of this problem.
60% of the 20 games he attended were at home, hence 40% of the games were away games, hence the number of away games attended by Monsieur is given as follows:
0.4 x 20 = 8 games.
The team also won 2/3 of the home games, hence the number of wins at home is given as follows:
2/3 x 12 = 8 games.
They won 50% of all games Monsieur le Gacy attended, hence the number of wins is given as follows:
0.5 x 20 = 10 wins.
The wins are then divided as follows:
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the comparison of two quantities with different units is called a
The comparison of two quantities with different units is called a ratio and proportion. A ratio that specifically compares two quantities measured in different units.
Comparing amounts is done using a ratio. A ratio demonstrates how many times one amount fits inside another or how much larger one amount is than another.
If I need to mix some cement, I would add two parts cement to four parts sand. The two numbers are both portions of the entire. Hence, the 2:4 ratio (6 parts in total). The written version is crucial; 4:2 would produce a different blend.
Ratios are expressed in their most basic form. There are five green and fifteen red dots in the figure on the right. The ratio is 15:5, but like with fractions, this can be boiled down to its most basic form.
If you look at the relationship between the numbers 15:5 as is 3:1, you can see that 3 is multiplied by 5 to obtain 15 and that 1 is multiplied by 1 to get 5. The ratio, as we can see in the image, is also 3:1.
Therefore,
The comparison of two quantities with different units is called a ratio and proportion. A ratio that specifically compares two quantities measured in different units.
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The bar chart below shows the monthly energy bill for Wally's tackle shop.
Which of the listed months had bills between $40 and $50? Scroll down to
see all six answer options and check all that apply.
Energy bill (S)
70
09
10
January
February
March
Apri
May
am
July
Months
August
September
October
November
December
On solving the provided question, we can say that from the bar chart provided , months which had bills between $40 and $50 are March, June, and November
what is bar chart?A bar graph or chart presents specific statistics using square bars with heights or lengths proportional to the numbers they represent. You can plot the bars either vertically or horizontally. Sometimes a column chart is used to refer to a vertical bar chart. The visual representation of data (often grouped) in the form of square, vertical or horizontal bars, where the length of the bars is related to the level of statistics, is called a bar graph. Bar charts are another name for them. One way to manage statistical data in statistics is via bar graphs.
from the bar chart provided ,
months which had bills between $40 and $50 are
March, June, and November
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It's supposed to be 7th grade math not high school.
Answer:
B. Isosceles
Step-by-step explanation:
It is 7th grade, maybe even 5th or 6th.
A scalene has no equal sides.
An isosceles has 2 equal sides
An Equilateral has 3 equal sides
Acute has angles less than 90 degrees
The box in the corner means 90 degrees so it's a right triangle and the ticks mean congruent. Obviously right isn't one of the options so isosceles is correct
Answer:
Isosceles Triangle
Step-by-step explanation:
An Isosceles or a scalene can have a right angle, but a scalene right triangle has a longer side that isn't equivalent like the sides of this triangle. So this makes it isosceles.
-Hope this helped
Point A has coordinates A(2,1). What is the image after a dilation centered at the origin with a scale factor of 2?
The image of Point A, after a dilation which is centered at the origin with a scale factor of 2 is ( 4, 2 )
How to find the dilated coordinates ?When a dilation is centered at the origin with a scale factor of 2, the coordinates of a point are multiplied by 2.
Given a point A(2,1) , the image of point A after a dilation centered at the origin with a scale factor of 2 is:
Point X :
= 2 x 2
= 4
Point Y:
= 1 x 2
= 2
So the image of point A after the dilation is the point A' with coordinates ( 4, 2 )
It's important to note that dilation either expands or contracts the figure and the center of dilation is the fixed point around which the expansion or contraction occurs.
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A train left Vicky' town and traveled for 4 hour and 50 minute to Wildgrove. Then it traveled 2 hour and arrived in Wetminter at 12:28 P. M. What time did the train leave Vicky' town?
The train left Vicky's town at 7:38 A.M. after traveling for 4 hours and 50 minutes to Wildgrove.
To calculate this, we need to work backward from the arrival time in Westminster. The train arrived in Wetminter at 12:28 P.M. and it took 2 hours to travel from Wildgrove to Westminster. So, if we subtract 2 hours from 12:28 P.M., we get 10:28 A.M.
Next, we need to take into account the time it took for the train to travel from Vicky's town to Wildgrove. The train traveled for 4 hours and 50 minutes to Wildgrove.
So, if we convert 4 hours and 50 minutes to minutes (4*60+50 = 290 minutes) and subtract it from 10:28 A.M., we get 7:38 A.M. This is the time the train left Vicky's town.
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Fill in the blank question.
A bathtub contains 6012
gallons of water. When the drain plug is pulled, the tub drains at an average rate of 4.5 gallons per minute. In how many minutes will the amount of water in the bathtub be 24.5 gallons?
Answer:
1326.78 minutes
Step-by-step explanation:
We know that the bathtub starts with 6012 gallons of water and that it drains at an average rate of 4.5 gallons per minute. To find how many minutes it will take to reach 24.5 gallons, we can use the formula:
time = (initial amount - final amount) / rate
Plugging in the given values, we get:
time = (6012 - 24.5) / 4.5
Solving for time:
time = 1326.78 minutes
It will take 1326.78 minutes for the bathtub to drain to 24.5 gallons of water.
HELP ASAP PLEASE k12
When graphing the dots the first number is x and the second is y. when you graph the dots it should line up and look like a straight line, it doesnt matter if its diagonal as long as its straight. thats one of the reasons on why its proportional. graph the third box. (-2,-4) (-1,-2) (1,2) (2,4). thats the only box with a proportional relationship because when checking if its proportional you put the y over x to make it a fraction. for example, 2/1 which simplified is just 2. then you do that again with the rest of the table. using the third table it would be -4/-2 which simplified is 4/2 2/1 also known as 2. -2/-1 2/1 2. 2/1 2. 4/2 2/1 2. all of those simplified is 2 meaning its proportional. hope this helps!
In right angled triangle ABC, ABC = 90°, AC = 17 cm, BC = 15 cm then find the value of AB.
Therefore , the solution of the given problem of Pythagoras theorem is the value of AB is 8cm.
The Pythagoras Theorem is what?The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in familiar algebraic notation, , are equal to the squares on the legs.
Here,
Given, in △ABC, ∠B=90
∴AC²=AB²+BC²
By Pythagoras theorem
=> AC²=AB²+BC²
=> 17² = 15² + AB²
=> 289 = 225 + AB²
=> 289 - 225 = AB²
=>AB = 64
=>AB = 8
thus , 8cm is the side length of AB
Therefore , the solution of the given problem of Pythagoras theorem is the value of AB is 8cm.
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Describe the transformation that is needed to obtain the graph of h(x)=0.8x+3 from the graph of h(x)=0.8x
The transformation applied to function h(x) is a translation of 3 units upwards.
Which is the transformation applied?For a function f(x), we can define a vertical translation of N units as:
g(x) = f(x) + N
This will move the graph of f(x) N units vertically.
If N > 0, the translation is upwards.if N < 0, the translation is downwards.Here we start with the function h(x) = 0.8*x
And we want to see which transformation will give us g(x) = 0.8*x + 3
We are just adding 3, so this is a translation of 3 units upwards.
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Solve for x:
1. 3 (x-12) =15
2. -5 (-2×+10) =10
3. 8(6-4x) = 12
4. 3 (2+6X) = 18
Step-by-step explanation: hi I also need help with this when the answer is posted pls let me know
Answer:
1. 17
2. 6
3. (9/8)
4. (2/3)
Step-by-step explanation:
1. 3(x-12) =15
3x-36=15
3x = 51
x = 17
2. -5(-2×+10) =10
10x - 50 = 10
10x = 60
x = 6
3. 8(6-4x) = 12
48 -32x = 12
-32x = -36
x = (-36/-32)
x = (9/8)
4. 3(2+6X) = 18
6 + 18x = 18
18x = 12
x=(12/18)
x = (2/3)
Find the value of x
The value of x is 70°
What is mean by polygon interior angle theorem? The Polygon Interior Angle Theorem states that the sum of all the interior angles of a polygon is equal to (n - 2)180 degrees, where n is the number of sides of the polygon. This theorem applies to all regular polygons, which are polygons with all sides of equal length. The theorem can be used to calculate the measure of an interior angle of a regular polygon by dividing the total sum of all the interior angles by the number of sides. For example, if a regular pentagon has five sides, the sum of the interior angles is 5(180) or 900 degrees. Therefore, the measure of each interior angle is 900/5 or 180 degrees. This theorem is also known as the Gauss-Bonnet theorem.
Solution:
Interior angle = (n-2) . 180°
(6 - 2) . 180°
Measure of Interior angle = 720°
x + 102 + 146 + 120 + 124 + 158 = 720°
x = 70°
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Can someone help me I’m very confused?
help please ineed this
Answer:
(3,1)
Step-by-step explanation:
What is the table of 9 to 20?
Any number will do as a starting point. Then, multiply that figure by 9. If the outcome is a multiple-digit number .
what is sequence ?In mathematics, a sequence is a list of things that are in a particular order (or events). It has members, much like a set (also called elements, or terms). The number of ordered items determines the sequence's length (potentially infinite). Arithmetic sequences, geometric sequences, quadratic sequences, and special sequences are the four primary types of sequences that you should be aware with. A number sequence is a group of numbers connected by a rule. If you understand the rule, you can figure out the subsequent numbers in the series. Each number in this case differs from the others by 6. Because of this, the rule for this sequence is to add 6 each time.
given
Any number will do as a starting point.
Then, multiply that figure by 9. If the outcome is a multiple-digit number, add the digits to create a new number.
Add the digits of that new number together to create a new one if it is still a multi-digit number.
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Simplify the expression. 3 ^4s
Answer:
81s
Step-by-step explanation:
3^4s
3x3x3x3s
Can a triangle be constructed with sides 5 cm 6 cm and 11cm?
It is not possible to construct a triangle whose sides are 5 cm 6 cm and 11cm because the sum of two sides(5cm and 6cm) are equal to three sides(11 cm). The equal sides cannot form a triangle.
In the given question, we have to check that it is possible to construct a triangle whose sides are 5 cm 6 cm and 11cm.
The sum of the two sides must always be greater than the third side in order to determine whether or not the given sides may form a triangle.
To check this we firstly add the 5 and 6
5 + 6 = 11
11 = 11
Now we add 6 and 11
6 + 11 > 5
17 > 5
Now we add 5 and 11
5 + 11 > 6
16 > 6
It is not possible to construct a triangle whose sides are 5 cm 6 cm and 11cm because the sum of two sides(5cm and 6cm) are equal to three sides(11 cm). The equal sides cannot form a triangle.
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How can I open my cervix naturally?
Natural methods that may help to open the cervix include acupuncture, herbs such as red raspberry leaf, exercise, sex and nipple stimulation.
There are several natural methods that may help to soften and open the cervix in preparation for childbirth, including:
Acupuncture: Acupuncture has been found to be effective in helping to prepare the cervix for labor by promoting the release of oxytocin, a hormone that can help to soften and open the cervix.
Herbs: Certain herbs, such as red raspberry leaf, can help to tone the uterus and prepare the cervix for labor.
Exercise: Regular physical activity can help to maintain good health and prepare the body for labor.
Sex: Semen contains prostaglandins which can help to soften the cervix.
Nipple stimulation: Stimulating the nipples can also cause the release of oxytocin, which can help to soften and open the cervix.
It is important to note that these methods may not work for everyone, and it is best to consult with a healthcare provider before trying any new method.
Also, It's not advisable to self-induce labor or try to open the cervix before it's time as it can cause problems for both mother and baby.
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