Answers
Taking out the equation of line in the given questions
What is Slope-Intercept?
One of the most popular ways to represent a line's equation is in the slope intercept form of a straight line. When the slope of the straight line and the y-intercept are known, the slope intercept formula can be used to determine the equation of a line ( the y-coordinate of the point where the line intersects the y-axis)
9) slope = 2/3 and points (-1, 2)
Slope intercept form is y=mx + b. In this equation, m is the slope and b is the y-intercept. Point slope form is y-y1= m(x-x1). In this equation, m is again the slope and x1,y1 is where you plug in points from the line.
To solve this problem:
y=mx + b
2 = (2/3)(-1) + b
2 = (-2/3) + b
2 + 2/3 = b
(6 + 2)/3 = b
4/3 = b
so slope intercept form is y = (2/3)x + 4/3
10) slope = 5/4 and points (12,15)
Slope intercept form is y=mx + b. In this equation, m is the slope and b is the y-intercept. Point slope form is y-y1= m(x-x1). In this equation, m is again the slope and x1,y1 is where you plug in points from the line.
To solve this problem:
y=mx + b
15 = (5/4)(12) + b
15 = (5)(3) + b
15 = 15 + b
15 - 15 = b
b = 0
so slope intercept form is y = (5/4)x + 0
11) slope = 4 points (0, -1)
Slope intercept form is y=mx + b. In this equation, m is the slope and b is the y-intercept. Point slope form is y-y1= m(x-x1). In this equation, m is again the slope and x1,y1 is where you plug in points from the line.
To solve this problem:
y=mx + b
-1 = 4(0) + b
-1 = 0 + b
-1 = b
so slope intercept form is y = 4x - 1
12) slope = -1/4 and (1,-1)
Slope intercept form is y=mx + b. In this equation, m is the slope and b is the y-intercept. Point slope form is y-y1= m(x-x1). In this equation, m is again the slope and x1,y1 is where you plug in points from the line.
To solve this problem:
y=mx + b
-1 = (-1/4)(1) + b
-1 = -1/4 + b
1/4 - 1 = b
(1 - 4)/4 = b
-3/4 = b
so slope intercept form is y = (-1/4)x - 3/4
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Related Questions
Find the value of z.
Answers
Answer:
it depends on what is z for, if it's for the whole triangle then i would think it would be 2z - 4 10 and 7 added or multiplied. Or it could be 2z -4 witch would be z = 2
Write the equation of a parabola with x-intercepts at (3, 0) and (9, 0) that
passes through the point (10, -7).
Answers
The parabola's equation is y = -x2 + 12x - 27.
A parabola is a point's location where the focus and a fixed point's distance from a fixed line, known as the directrix, are the same.
A parabola's equation is in quadratic form.
Thus, it is stated as:
Y = Ax2, Bx, and C
Located at (3, 0):
0 = a(3²) + b(3) + c
9a + 3b + c = 0 (1) (1)
Located at (9, 0):
0 = a(9²) + b(9) + c
81a + 9b + c = 0 (2) (2)
Located at (10, -7):
-7 = a(10²) + b(10) + c
100a + 10b + c = -7 (3) (3)
Equations 1, 2, and 3 are solved to yield: a = -1, b = 12, and c = -27.
Consequently, the parabola's equation is y = -x2 + 12x - 27.
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How many circular tiles are needed to make pattern number 20
Answers
Answer:
84 circle for pattern 20
Step-by-step explanation:
we know that by studying the first 3 patterns we know that the corner pieces (that have multiple circles on them) has 3 circlesThe edge pieces (the ones with 1 circle on them) we now know what to doFor each pattern number that is how many squares (x) are [tex]x^{2}[/tex] to find how many squares in totalWe know we need to find square pattern 20We now know how many squares are gonna be on each side (20)look at attachment1 for referencenow we are gonna look atttachment2now we are gonna count the edges on each side (the blue) we get 18 on each side so we do 18*4 and that is 72now we know that the edges only have one circle on it so for the edges we have 72now for the corners, we know that there are 3 per corner piecenow we count the corners ( there are 4 in total)now we do 4*3 and that is 12now we add the total circles for the corners (12) and the edges (72) 12+72= 84pattern 20 has 84 circlesWhat is the 10th term of the sequence 5,2, 4/5,….
Answers
Good evening,
Answer:
-512/390625
Step-by-step explanation:
an=a1 •r^n-1
a10=5 • -0.4^10-1
a10=5 • -0.4^9
a10=5 • -512/1953125
a10= -512/390625
The PTA at a school want to sell chocolate bars to support the school PTA. They asked a random sample of 10 students how many chocolate bars they would be willing to buy at a price of $2 for each bar. Their responses are summarized in the following dot plot:
If there are a total of 250 students at the school and the sample is representative of the entire school's population of students, which of the following is the most reasonable estimate of the total number of chocolate bars the PTA can expect to sell to all the students of the school? A. 250
B. 500
C. 600
D. 750
Answers
Answer:
B
Step-by-step explanation:
the most answered was 2. 2x250=500
Given f(x) = 3x³ + kx- 10, and x - 2 is a factor of f(x), then what is the value of k?
Answers
Polynomial equations are used to encode a wide range of problems, from simple word problems to complex scientific problems. Therefore, the value of k is -7.
What are Polynomials?A polynomial is an expression in mathematics made up of coefficients and indeterminates, which are also known as variables. It can only be solved using the addition, subtraction, multiplication, and powers of positive-integer variables. For instance, x3 + 2xyz2 yz + 1 has three indeterminates. Value In both mathematics and science, polynomials are widely used. For instance, they are used to define polynomial functions, which can be found in a variety of contexts, from basic chemistry and physics to economics and social science, and they are used in calculus and numerical analysis to approximate other functions. If f(x) = 3x³ + kx- 10 , If x -2 is a factor of the given equation, then,x - 2 = 0 ⇒ x = 2, On substituting, x =2, f(x) = f (2) = 0.So, f (2) = 3(2) ³ + k2- 10 = 0⇒ 24 + 2k -10 = 0 and 2k = -14⇒ k = -14/2, so k = -7In higher mathematics, polynomials are employed to build algebraic varieties and polynomial rings, which are fundamental ideas in algebra and algebraic geometry.To learn more about Polynomials, refer to:
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Please help me fast I will mark brainliast
Answers
Answer:
See attached worksheet.
Step-by-step explanation:
F(2,9) after a reflection over the y-axis.
Answers
Answer:
(-2, 9)
Step-by-step explanation:
hope it helped <3333 :D
One side of an envelope is 3 inches longer than the other side. The area of the envelope is 108 in²Determine the dimensions of the envelope.
Answers
Dimensions of envelope will be Length will be (x + 3) = (9 + 3) = 12 and Breadth will be x = 9.
Envelope can be considered as the shape of rectangle.
Rectangle has length and breath which can be considered as the sides of envelope.
Now we have given one side of envelope is 3 inches longer than the other side of envelope.
let side of envelop be x inches than other side will be (x + 3) inches.
Now we have also given that the area of envelop is 108 in².
The Area of rectangle = (length)(breadth).
let length of envelop be (x+3) as its bigger than its breadth x.
∴ Substitute area of rectangle with the area of envelope.
∴ (x + 3)(x) = 108.
∴ x² + 3x = 108.
∴ x² + 3x - 108 = 0.
∴ x² + 12x -9x - 108 = 0
∴ x(x + 12) -9(x +12) = 0
∴ (x-9) (x +12) = 0
∴ (x-9) = 0 and (x +12) = 0
∴ x = 9 and x = -12
Now as dimensions cannot be negative ∴ x = -12 is rejected.
∴ x = 9 is considered
∴ Length will be (x + 3) = (9 + 3) = 12.
∴ Breadth will be x = 9.
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bro can someone help please i’ve been struggling all day
Answers
Answer:
x = 7
Step-by-step explanation:
(a) The perimeter of a rectangular garden is 292 m.
If the length of the garden is 89 m, what is its width?
Width of the garden: ?
(b) The area of a rectangular window is 7968 cm².
If the width of the window is 83 cm, what is its length?
Length of the window: ?
Answers
Answer:
(a) Let width of garden be w m.
Perimeter = length + width + length + width
Substitute the values into the equation.
89 + w + 89 + w = 292
Simplify and solve for w.
2w + 178 = 292
2w = 114
w = 57
Hence, width of garden is 57 m.
(b) Let length of window be L cm.
Area = length × width
Substitute the values into the equation.
L × 83 = 7968
Simplify and solve for L.
83L = 7968
L = 96
Hence, length of window is 96 cm.
solve the quadratic equation [tex]3x^{2} +x-5=0[/tex]
give your answers to 2 decimal places
Answers
Answer:
-1.47, 1.14 to 2 decimal places.
Step-by-step explanation:
3x^2 + x - 5 = 0
3(x^2 + 1/3x) - 5 = 0
Completing the square on the expression in the parentheses:
3[(x + 1/6)^2 - 1/36) - 5 = 0
3(x + 1/6)^2 - 1/12 - 5 = 0
(x + 1/6)^2 = 61/12 / 3
(x + 1/6)^2 = 61/36
(x + 1/6) = +/-√61 / 6
x = -1/6 +/- √61 / 6
x = 1.135, -1.468
Select ALL expressions equal to: -8(5y - 9)
Answers
The expression -8 (5y - 9) is equals to - 40y + 72
How to find equivalent expression?In maths, an expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.).
In other words, a mathematical expression is any combination of numbers, letters, and relational operators.
Therefore, the following expression can be express in an equivalent form as follows:
Equivalent expressions are expressions that work the same even though they look different.
Hence,
-8 (5y - 9)
open the bracket
-8 (5y - 9) = - 40y + 72
Therefore, the equivalent expression of -8 (5y - 9) is - 40y + 72
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Make an equation for the first question
Then use the equation to find the cab fare if zarela has a 1.8 mile commute to work
Answers
The two equations are : 6x + m = F
and 6x + 1.8 m = F
How to solve a linear equations ?A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. Y = mx + c represents the equation of a straight line with gradient m and intercept c on the y-axis.
A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b)
Let the total time be x
Given distance Zarela travels is m
Thus the total cab fare = F
Therefore the equation becomes;
6x + m = F
In the second part of the question it is given that Zarela travels for 1.8 mile
thus the equation becomes
6x + 1.8 m = F
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y=x² + 2x - 2
iii) Find the values of x
when y = 2
Answers
Answer: 1.236, -3.236 or [tex]-1-\sqrt{5} and -1+\sqrt{5}[/tex]
Step-by-step explanation:
2 = x^2 + 2x -2
x^2 + 2x - 2 -2
x^2 +2x -4
put into quandratic formula
A monopoly player claims that the probability of getting a when rolling a six-sided die is because the die is equally likely to land on any of the six sides. Is this an example of a theoretical probability or an empirical probability? explain.
Answers
It is an illustration of theoretical probability.
Theoretical probability establishes the probability of certain events occurring.
The ratio of the entire number of conceivable possibilities to the intended outcome is known as theoretical probability.
In this case, the intended consequence is earning a 2, which is only one of the six potential possibilities. The possibility of receiving a 2 is.
Observance determines empirical probability. Nothing about the observing of the specified episode is indicated in the question, hence it is not an empirical probability.
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If ST = 65, TR= 40, and WU = 16, find the length of VW. Round your
answer to the nearest tenth if necessary.
Answers
Answer:
ST/VW = TR/WU
40/16 = 65/VW
2.5 = 65/VW
2.5VW = 65
VW = 65/2.5
VW = 26
Simplify 3/8 (16 R +32)
a 8R +12
B 48R +96
C 120R +256
D 42R +85
Answers
Answer:
6R+12
Step-by-step explanation:
Your options are wrong maybe...
3/8(16R+32)
= 6R+12
Simplify: -42 30(cubed) / 12 10 (cubed)
Answers
The fundamental guidelines and procedures to simplify any algebraic statement are as follows:By multiplying factors, remove any grouping symbols like brackets and parenthesis.
If the words contain exponents, use the exponent rule to eliminate grouping.Add or subtract like terms to combine them.
Simplify: -42 30(cubed) / 12 10 (cubed)?
By removing the denominators, convert fractions to integers.
Because the denominators of our two fractions differ, we must calculate the Least Common Denominator and rewrite our fractions using the common denominator as needed. LCD(-42/30, 12/10) = 30
Now that the denominators of our two fractions are similar, we may multiply them both by 30 to get rid of the denominators.
The final result is: -42/30: 12/10 = -42: 36
With the highest common factor, attempt to further reduce the ratio (GCF).
GCF is 6 for -42 and 36.
Divide both terms by the GCF, 6, as follows: -7 36 6 = 6; -42 6 =
By dividing both parts by the GCF = 6, the ratio -42:36 can be reduced to its smallest terms: -42:36 = -7:6.
Therefore:
-42/30 : 12/10 = -7 : 6
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15. pls help need to turn in asap by midnight
Answers
The equation of a line in the point-slope form will be:
(y2 - y1) = m (x2 - x1)
As per the table, the equation of this line in the point-slope form will be:
(30 - 25) = m (130-120)
Now,
(30 - 25) = m (130-120)
⇒ 5 = m (10)
⇒ m = 10/5 = 2
So, the slope of this line = m = 2
In the Slope - Intercept form, the equation is written as:
y = mx + c
⇒ y = 2x + c
The value of c = 0.
What is the Slope of a line?A number that describes a line's direction and steepness is known as the slope or gradient of a line in mathematics. A common symbol for slope is the letter m. Finding the ratio of "vertical change" to "horizontal change" between any two distinct points on a line yields the slope. The ratio can also be written as a quotient, which produces the same number for every two different points on the same line. A negative "rise" refers to a decreasing line. The line could be functional, set by a road surveyor, or depicted in a diagram that represents a road or a roof as a description or a plan.The slope's absolute value serves as a gauge for a line's steepness, incline, or grade. A steeper line is indicated by a slope with a higher absolute value. A line can be drawn in one of four directions: upward, downward, horizontal, or vertical.To learn more about the Slope of a line, refer to:
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There may be more then one answer
Will give brainlest
Answers
Don’t have to do that graphing just need the slope please
Answers
The slope and y-intercept of each line are:
13. slope = 1/2; y-intercept: 0.
14. slope = 3; y-intercept: 0.
15. slope = -2/5; y-intercept = 0.
16. slope = -1; y-intercept = 1.
17. slope = -2/3; y-intercept = -4.
18. slope = 1; y-intercept = 0.
19. 7/9
20. 3/5
How to Determine the Slope and the Y-intercept of a Line?The slope and y-intercept of a line can be determine from the given equation of a line in slope-intercept form, y = mx + b, where:
Y-intercept is represented as b.Slope is represented as m.13. y = 1/2x,
The slope = 1/2
The y-intercept of the equation is: 0.
14. y = 3x,
The slope = 3
The y-intercept of the equation is: 0.
15. y = -2/5x,
The slope = -2/5
The y-intercept of the equation is: 0.
16. y = -x + 1
The slope = -1
The y-intercept of the equation is: 1.
17. y = -2/3x - 4,
The slope = -2/3
The y-intercept of the equation is: -4.
18. y = x,
The slope = 1
The y-intercept of the equation is: 0.
19. Slope = change in y / change in x = (18 - 11)/(19 - 10)
Slope = 7/9
20. Slope = change in y / change in x = (2 -(-1))/(9 - 4)
Slope = 3/5
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The stock of Company A gained $6.65 throughout the day and ended at a value of $101.65. By what percentage did the stock rise?
Answers
Solve for x. PLS HELP MEEE
Answers
Answer: ask candice
Step-by-step explanation:
Answer:
x = 75
Step-by-step explanation:
The triangle on the right is an equilateral triangle. This means each angle is 60 degrees.
The bottom angle which goes over both triangles is marked as a right angle (90 degrees). Given that the part of that angle in the equilateral triangle is 60 degrees, the rest of the angle (i.e. the part of the angle in the other triangle) is 30 degrees.
It is implied by the markings that the angle x = the other angle at the top (although this should be clearer). Assuming this is the case, we can use the rule that angles in a triangle sum to 180 degrees, to say that:
x + x + 30 = 180
Combine like terms, rearrange and simplify:
2x + 30 = 180
2x = 150
x = 75
Find the circumference.
Use 3.14 for π.
G
r = 3 ft
C = [?] ft
C = πd
Answers
Answer:
c=2πr
c=2π3
put it in calculator
=18.8ft (1dp)
Please someone help help me
Answers
Answer:
y - axis
Step-by-step explanation:
point moves from right to left
What is the x-intercept for function f? f(x) = −2/3x + 8
Answers
Answer:
x = 12 is the x-axis intercept
Step-by-step explanation:
'x-intercept' is short for 'x-axis intercept' <==== when the graph crosses the x axis, y = 0 so put y = 0 in the equation
y = -2/3 x + 8
0 = -2/3 x + 8
-8 = - 2/3x
x = 8 * 3/2 = 12
the city of raleigh has 7600 registered voters. there are two candidates for city council in an upcoming election: brown and feliz. the day before the election, a telephone poll of 250 randomly selected registered voters was conducted. 128 said they'd vote for brown, 101 said they'd vote for feliz, and 21 were undecided.
Answers
This sample statistic suggests that we might expect 2833 of the 7,600 registered voters to vote for Brown.
Due to that, There are 7,600 registered voters in Raleigh. Brown and Feliz are the two candidates running for city council in the upcoming election. A telephone survey of 550 randomly chosen registered voters was performed the day before the election. 205 people declared they would support Brown, 317 people would support Feliz, and 28 people were unsure.
The sample statistic for the proportion of voters surveyed who said they'd vote for Brown can be calculated as follows:
p = 205/550 =0.3727
Expected number of voters who vote for Brown:
The expected number of voters who vote for Brown can be calculated as follows:
E voters who vote for Brown =7600 *0.3727=2832.52= 2833 (Approx.)
This sample statistic suggests that we might expect 2833 of the 7,600 registered voters to vote for Brown.
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a bank sends its customers an e-mail when their accounts fall below -10$. Which inequality models this situation??
Answers
The inequality which models the given situation will be;
⇒ x < - $10
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The condition is;
''A bank sends an e-mail to its customers when their accounts fall below -10$.
Now,
Let the total balance in his account = x
Then, we can formulate;
The inequality for the given situation is;
⇒ x < - $10
Therefore,
The inequality which models the given situation will be;
⇒ x < - $10
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help please please help thanks
Answers
180 - 198 = -18
x + x = -18
2x = -18
x = -18/2
x = -9
bold angle = -9 + 89
= 80
Hope that helped! :)
