The equation of a line is given by y = mx + b, where m is the slope and b is the y-intercept. Given that the slope is 3 and the y-intercept is 5, the equation of the line is y = 3x + 5.
The equation of a line is a mathematical expression of the form y = mx + b, where m is the slope and b is the y-intercept. This equation can be used to describe the relationship between the x-coordinate and y-coordinate of points on a line. In this specific equation, the slope is 3 and the y-intercept is 5, which means that the line passes through the point (0, 5) and has a slope of 3. Substituting 3 for m and 5 for b in the equation, we get y = 3x + 5, which is the equation of the line with a slope of 3 and a y-intercept of 5. We can use this equation to determine the y-coordinate of any given point on the line, provided we know the x-coordinate of the point. It is important to note that this equation is only applicable to straight lines, and not curves.
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A local health club offers two membership plans. Under Plan A, you pa
flat rate of $201 a month and you get unlimited visits. Under Plan B, yo
pay only $33 per month, but must pay $8 for each visit to the club. At
what number of visits will both plans be the same?
The plans cost the same if you visit
times.
Therefore , the solution of the given problem of linear equation comes out to be the plan will be equal at 21 visits.
A linear equation is precisely what?The algebraic equation y=mx+b stands in for a linear equation. The slope is m, and B is the y-intercept. The last phrase referred to a "simple formula with two elements" where both y and x are variables. Bivariate linear equations are calculations involving two variables. Here are a few examples: The outcomes are 2x - 3 = 0; 2y = 8; m + 1 = 0; x/2 = 3; x + y = 2; and 3x - y + z = 3. If the answer to a mathematical equation is in the form y=mx+b, where m denotes the slope and b the y-intercept, the equation is said to be linear.
Here,
Given :
Case 1: flat rate of $201 a month and you get unlimited visits.
and
Case 2:pay only $33 per month, but must pay $8 for each visit to the club.
Thus,
To find at what number of visits both plan be equal is
Let x be the number of visit,
We get,
Case 1: 201
Case 2: 33 + 8x
For equlaity:
=>33+ 8x =201
=>8x =168
=> x =168/8
=> x =21
Therefore , the solution of the given problem of linear equation comes out to be the plan will be equal at 21 visits.
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Evaluate x^2 +xyz if x=3, y=5, and z=4
Answer:
6 + 354 I THINK
Step-by-step explanation:
Answer:
9+354 = 363
Step-by-step explanation:
x = 3 so 3 to the power of 2 = 9 and (xyz = 354) so 9 + 354 = 363
Please help
Solve the rational equation: 1/x+1 - 1/x+2 = 1/5
A. There is no solution.
B. x = −0.64, x = 1.44
C. x = −3.79, x = 0.79
D. x = −1, x = −2
The solution for the rational equation (1/(x + 1)) - (1/(x + 2)) = 1/5 is specified by the option C.
C. x = -3.79, x = 0.79
What is a rational equation?A rational equation consists of a fraction that has a polynomial numerator denominator.
The specified equation can be expressed as follows;
[tex]\dfrac{1}{x + 1} - \dfrac{1}{x+2} = \dfrac{1}{5}[/tex]
Finding the common denominator for the right hand side expression, we get;
[tex]\dfrac{ (x + 2) - (x + 1)}{(x + 1) \times (x + 2)} = \dfrac{1}{5}[/tex]
[tex]\dfrac{1}{(x + 1) \times (x + 2)} = \dfrac{1}{5}[/tex]
[tex]\dfrac{1}{x^2+ 3\cdot x+ 2} = \dfrac{1}{5}[/tex]
Inverting both sides of the above equation, we get the following quadratic equation;
x² + 3·x + 2 = 5
x² + 3·x + 2 - 5 = 0
x² + 3·x - 3 = 0
The quadratic formula indicates that we get;
x = (-3 ± √(3² - 4×1×(-3))) ÷ (2 × 1)
x = (-3 + √(21)) ÷ 2 and x = (-3 - √(21)) ÷ 2
x ≈ 0.79 and x ≈ -3.79
The correct option is option C
C. x = -3.79, x = 0.79
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Please help me in these
Answer:
11) 20%
12)40
13)19
14)216
15)25%
16) 50
17) 986
18)220%
19)40
20)100%
Step-by-step explanation:
with percentages it is part divided by the whole times 100 so an example would be 73 divided by 365 times 100
Answer:
11) 20%
12) 40
13) 19
14) 216
15) 25%
16) 50
17) 986
18) 220%
19) 40
20) 100%
Here's a fat rat in a hat
The data set below has 7 values. Find the mean absolute deviation for the data set. If necessary, round your answer to the nearest hundredth. 13,14,15,6,17,16,3
Given:
The data set is 13, 14, 15, 6, 17, 16, 3.
To find:
The mean absolute deviation for the data set.
Solution:
We have,
13, 14, 15, 6, 17, 16, 3
Mean of the data set is:
[tex]\text{Mean}=\dfrac{\text{Sum of all observations}}{\text{Number of observations}}[/tex]
[tex]\overline{x}=\dfrac{13+14+15+6+17+16+3}{7}[/tex]
[tex]\overline{x}=\dfrac{84}{7}[/tex]
[tex]\overline{x}=12[/tex]
The formula for mean absolute deviation is:
[tex]MAD=\dfrac{\sum_{i=1}^n|x_i-\overline{x}|}{n}[/tex]
Using this formula, the mean absolute deviation for the data set is:
[tex]MAD=\dfrac{|13-12|+|14-12|+|15-12|+|6-12|+|17-12|+|16-12|+|3-12|}{7}[/tex]
[tex]MAD=\dfrac{1+2+3+6+5+4+9}{7}[/tex]
[tex]MAD=\dfrac{30}{7}[/tex]
[tex]MAD\approx 4.29[/tex]
Therefore, the mean absolute deviation for the data set is about 4.29.
The area of a circle is 100 pie. What is the radius?
A 25
B) 10
C 50
D) 5
Answer:
50 (hope this helps, have a good day)
Step-by-step explanation:
just divide The area divided by 2
The ages of four children are 14, 12, 15, and 17
Work out the range of the ages of the four
children.
Step-by-step explanation: 12 - 14 is 2 years
14 - 15 is 1 year
15 - 17 is 3 years
I would say the rang is 1 -3 years apart
Hope this helps any
HELLPPP PLSSS
100÷10+3-100+ (6+ 19)+ 3 × -5 -19+100
Answer:
4
Step-by-step explanation:
I used a Calculater
help me plsss its due tonight!!!
Solve for X please and thank you :)
x<-3
Hope this helped! :T
HELP DUE IN 15 MINS!
The diagonals of a rectangle are perpendicular.
True
False
trust me the answer is false :)
Answer:
No they are not, false
Step-by-step explanation:
We know that if the diagonals are perpendicular then they cut at 90 degrees but in rectangles, the diagonals dont cut at 90 degrees. Hence the statement is false.
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What number multiple by 7/9 has the product of 1?
Answer: In mathematics, the reciprocal of a number is 1 divided by that number. So the reciprocal of 7/9 is 1/(7/9) which can be simplified to 9/7.
Therefore, 9/7 is the number that when multiplied by 7/9 will result in the product of 1.
Another way of arriving at the same solution is to remember that the product of a number and its reciprocal is always 1. In this case, the number is 7/9, and its reciprocal is 9/7.
Step-by-step explanation:
help meeee??!??!?! pleasee
Answer:
Option B, y = -x + 7
Hope this helps! Have a good day!
Given that € 1 = £0.72
a) How much is € 410 in £?
Answer:
x = 292.2 pounds (£)
Step-by-step explanation:
Write and solve an equation of ratios:
€ 1 £0.72
--------- = ----------
€410 x
Cross-multiplying, we get:
x = 292.2 pounds (£)
A tunnel is cylindrical. The tunnel is 400 m long with radius 2.3 m.
What is the capacity of the tunnel? Give the answer is liters. [Hint: 1 m3 = 1000 L]
Answer:
6647.6 liters
Step-by-step explanation:
The volume of a cylinder with end area r and length (or height) h is
V = πr²h
If we substitute 2.3 m for r and 400 m for h, we get:
V = π(2.3 m)²(400 m) = 6647.6 m³ or 6647.6 liters
Please help asap thank you
Plz solve number 20 for me…. I NEED ASAP HELP plz… WOULD BE GREAT
Mr. Louros' room is 275 meters from the library. Mr. Taylor's room is 150 meters closer to the library. How far is Mr. Louros' room from the library ? Select all the equations that describe the situation.
1. 275-150= m
2. 275+150= m
3. 275-m= 150
4. m-150=275
5. m+175=250
Answer:
nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
Step-by-step explanation:it hard sorry please
Find the probability that a point choseb at randon the figure will lie in the shaded region. Write your anser as a percentage rounding to the nearest hundreth in percentage form
=======================================================
Explanation:
Let's find the area of one of the circles
A = pi*r^2
A = pi*10^2
A = 100pi
One circle is exactly 100pi square meters in area.
Four of the circles then combine to a total area of 4*100pi = 400pi square meters.
The distance along the bottom of the square is equal to two diameters, each diameter being 2r = 2*10 = 20 meters. So the distance along the bottom of the square is 2*20 = 40 meters. The square has an area of 40^2 = 1600 square meters.
The shaded region would therefore have an exact area of 1600-400pi square meters.
This approximates to 1600-400pi = 343.362938564082
Divide this over the area of the square to get the probability we want to find:
343.362938564082/1600 = 0.21460183660256
That's roughly 0.2146, which converts to 21.46%
Answer:
21.5%
Step-by-step explanation:
Find the area of the square, which is 40² or 1600 sq m
Find the area of one circle, multiply it by 4, then subtract that from 1600
A = 100(3.14) = 314
314 x 4 = 1256
1600 - 1256 = 344
Probability of landing in the shaded region is 344/1600 = 21.5%
Find the coefficient of x2 in ( 4+ 4x2)( 3x2–5).
Answer:
- 8
Step-by-step explanation:
Given
(4 +4 x²)(3x² - 5)
Each term in the second factor is multiplied by each term in the first factor, that is
4(3x² - 5) + 4x²(3x² - 5) ← distribute parenthesis
= 12x² - 20 + 12[tex]x^{4}[/tex] - 20x² ← collect like terms
= 12[tex]x^{4}[/tex] - 8x² - 20
with coefficient of x² term being - 8
find the missing part of the proof for m A. m B. m C. m D. m
Therefore, K= 66 degrees, LK length = 22 unit, and LK length = 22 unit are the answers to the specific problem of angles.
Angles are what?A geometrical angled construction is constructed from two rays that converge at the summit, or center, of both the angle and are referred to as the face and the vertex, respectively. Guess it depends on how they're situated, it is possible for two rods to create an angle together within plane. When two planes collide, an inclination is also formed. Diahedral angles are the term used to refer to them. Light beams or lines in euclidean geometry can have a wide variety of shapes or angles for the same termination. The phrase "angle" in English is based on the Latin term "angulus," which meaning "horn." the vertex.
Here,
Given: MKL M = 24 degree right triangle
K is 90 degrees, etc.
Thus,
=> ∠L + ∠M +∠K =180
=> 90 + 24 + ∠K = 180
=>∠K =180-114
K equals 66 degrees.
and
The formula for LK length is 22.
The formula for LK length is 22.
In light of this, the answer to the angle problem is
K=66 degrees, and LK length=2 units. LK length equals two units.
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On a very cold morning, it was -8°F. As the day went on, the temperature ros
degrees each hour. Which equation shows the temperature over time?
Two angles are supplementary if they add up to ?
Answer:
180 degrees
Step-by-step explanation:
Answer:
Two angles are called supplementary when their measures add up to 180 degrees.
Step-by-step explanation:
Hence, any two angles can be supplementary, if their sum equal to 180°.
...
Difference between Complementary and Supplementary Angles.
Complementary Angles: Supplementary Angles:
Sum of two angles is 90° Sum of two angles is 180°
A bag contains colored tiles.
3 tiles are red
6 tiles are green
3 tiles are blue
Two tiles will be randomly selected from the bag with replacement. What is the probability that the first tile selected will be green and the second will be red?
A.12
B,322
C,311
D.18
Answer:
D?
Step-by-step explanation:
I don't really know for sure but I think it's D..Im super sorry if I get this wrong I'm not that good at math.
(PLS HELP, URGENT, IT'S DUE IN 12 MINUTES!!!!)
Kara can run 3 miles in 25.5 minutes. At this rate, how long would it take her to run 2 miles? Diana's answer: If I subtract 1 mile from 3 miles, I get 2 miles, so if I subtract 1 minute from 25.5 minutes, I get 24.5 minutes. Kara takes 24.5 minutes to run 2 miles. Is Diana's answer correct? Explain pls!
Answer:25.5 divided by 3= answer I think
Step-by-step explanation:
One bottle holds 67.34 onces and another bottle holds 48.5 onces combined how much do they hold?
After combine they hold 115.84 ounces.
What is Addition?A process of combining or adding two or more numbers is called addition.
We have to given that;
One bottle holds 67.34 ounces and another bottle holds 48.5 ounces.
So, After combine, we get;
Both bottle hold = 67.34 ounces + 48.5 ounces
= 115.84 ounces
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Write an equation in point-slope form of a line that has a slope of 2/3 and
passes through the point (9,5).*
Answer:
y= 2/3x -1
Step-by-step explanation:
Ok so basically we want to put it in the form y=mx+b where m is 2/3 and passes through the point (9,5). So sub in the x and y of the point in brackets into the equation. 5= 2/3(9) + b and solve for b so b = -1. Therefore the equation is y=2/3x -1
(2x+5y)(3x-7y)-2xy simplify only
Answer:
6x^2+xy-35y^2-2x
Step-by-step explanation:
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enter an internet value that could be used in each of the blanks below to make the polynomial factorable
PLease help I have to finish by 4:00
Answer:
You mean 4/5?
Step-by-step explanation: