Point-slope form is a form of a linear equation: [tex]y-y_1=m(x-x_1)[/tex]
[tex](x_1,y_1)[/tex] is a point that falls on the linem is the slope of the lineTo write an equation in point-slope form:
Calculate the slope of the line by solving for mPlug m into the general equationPlug a point that falls on the line in the general equation as [tex](x_1,y_1)[/tex]Solving the QuestionWe're given:
The line passes through the points (f,g) and (h,j)Solve for the slope (m):
[tex]y-y_1=m(x-x_1)[/tex]
⇒ Plug in the point (f,g) as (x,y):
[tex]g-y_1=m(f-x_1)[/tex]
⇒ Plug in the point (h,j) as (x₁,y₁):
[tex]g-j=m(f-h)[/tex]
⇒ Isolate m by dividing both sides by (f-h):
[tex]\dfrac{g-j}{f-h}=m[/tex]
⇒ Therefore, the slope of the line is [tex]\dfrac{g-j}{f-h}[/tex].
Plug the slope into the general equation:
[tex]y-y_1=\dfrac{g-j}{f-h}(x-x_1)[/tex]
Plug one of the points, (f,g) or (h,j) into the equation as (x₁,y₁):
[tex]y-j=\dfrac{g-j}{f-h}(x-h)[/tex]
AnswerThere can be multiple answers for this question, depending on what we consider to be (x,y) and what we consider to be (x₁,y₁). This is one of the possible answers, for (f,g) is (x,y) and (h,j) is (x₁,y₁):
[tex]y-j=\dfrac{g-j}{f-h}(x-h)[/tex]
After a product recall, a company solicits feedback from a random sample of 100 customers regarding their opinion about the company since the recall. Customers were asked, "Do you approve, disapprove, or have no opinion about the company?” The public relations department is concerned that the opinions may be equally distributed across these three options. The survey reveals that 38 customers approve, 45 disapprove, and 17 have no opinion. They decide to carry out a test of significance to determine if there is convincing evidence that the distribution of opinion in the population is equally distributed across the three options. What is the value of the chi-square test statistic and the P-value of this test?
Find the chi-square table here.
χ2 = 7.77, P-value is between 0.02 and 0.025
χ2 = 7.77, P-value is between 0.05 and 0.10
χ2 = 8.54, P-value is between 0.01 and 0.02
χ2 = 8.54, P-value is between 0.025 and 0.05
The value of the chi-square test statistic and the P-value of this hypothesis test is χ2 = 7.77, P-value is between 0.02 and 0.025.
How to depict the hypothesis?It should be noted that hypothesis testing is done in order to get more information about a particular issue.
In this case, the value of the chi-square test statistic and the P-value of this hypothesis test is χ2 = 7.77, P-value is between 0.02 and 0.025.
This illustrates that there's convincing evidence that the distribution of common opinion is note equally distributed across the three options.
Learn more about hypothesis on:
https://brainly.com/question/15980493
The floor of Taylor's bathroom is covered with tiles in the shape of triangles. Each triangle has a
height of Zin and a base of 12 in. If the floor of her bathroom has 40 tiles, what is the area of the
bathroom floor?
Answer: 1680
Step-by-step explanation: first we have to find the area of each triangle so we do 7 times 12 then divide by 2 which equals 42. then since there are 40 tiles we multiply by 40 which will equa 1680.
Please answer correctly!! Will mark brainliest
Step-by-step explanation:
a. the zeroes of the function :
x = 2 or x = -2
b. the y-intercept :
g(0) = -3(0-2)(0+2)
= -3(-2)(2) = 12
the coordinates => (0, 12)
c. the g(x) = g(-x) => this is the even function
d. the leading of coefficient is negative
e. the end of behaviour is toward down
A triangle with exactly two sides of the same length is called
Answer:
isosceles
Step-by-step explanation:
isosceles
if a number is added by 2 the answer is10 find the number
rewrite 4+2/3x=3/4 so it does not have fractions.
Answer:
48 + 8x = 9
Step-by-step explanation:
4 + [tex]\frac{2}{3}[/tex] x = [tex]\frac{3}{4}[/tex]
multiply through by 12 ( the LCM of 3 and 4 ) to clear the fractions
48 + 8x = 9
If the two spinners below are spun, what is the probability that the numbers will match? 1/4 1/6 1/12 1/3
Answer:
1/4
Step-by-step explanation:
Probability of getting a number on Spinner 1 = 1/3Probability of getting a number on Spinner 2 = 1/4Sample Space = 12 entriesSample Space
{(1,1)(1,2)(1,3)(1,4)(2,1)(2,2)(2,3)(2,4)(3,1)(3,2)(3,3)(3,4)}Probability of getting the same number = 3/12 = 1/4what is the fewest numbers of sides a polygon can have. why?
Which of the following numerical expressions results in a positive number?
A (-12) - (-21) - 10
B (-12) - (-21)
C 12 - 21
D (-21) – (-12)
What is 8,838 rounded to the nearest ten
Answer:
8840
Step-by-step explanation:
Answer:
8,840
Step-by-step explanation:
How are the roots of a quadratic equation and the zeroes of a quadratic relation related?
The roots of a quadratic equation and the zeroes of a quadratic equation are related in the following form: [tex]\sum\limits_{i= 0}^{2} c_{i}\cdot x^{i} = \prod \limits_{j= 1}^{2} (x-r_{j}) = 0[/tex].
What do represent the roots of a quadratic equation?Polynomials are algebraic entities that satisfy the following condition:
[tex]p(x) = \sum\limits_{i= 0}^{n} c_{i}\cdot x^{i} = \prod \limits_{j= 1}^{n} (x-r_{j})[/tex] (1)
Where:
x - Independent variablen - Grade[tex]c_{i}[/tex] - i-th Coefficient[tex]r_{j}[/tex] - j-th RootIf we have that [tex]p(x) = 0[/tex], then there are n values of x such that the equation is satisfied and those values are called zeroes. For the case of a quadratic equation, there are two zeroes.
[tex]\sum\limits_{i= 0}^{2} c_{i}\cdot x^{i} = \prod \limits_{j= 1}^{2} (x-r_{j}) = 0[/tex] (2)
Please note that the right part of (2) contains the roots of the polynomial and (2) represents a relationship based on the closure properties for algebraic fields.
Therefore, the roots of a quadratic equation and the zeroes of a quadratic equation are related in the following form: [tex]\sum\limits_{i= 0}^{2} c_{i}\cdot x^{i} = \prod \limits_{j= 1}^{2} (x-r_{j}) = 0[/tex].
To learn more on quadratic equations, we kindly invite to check this verified question: https://brainly.com/question/5975436
Slope Equations
What is the equation of the line that passes through the point (0,-4) and has a slope of 5?
y = 5x – 4
y= - 4x – 5
y= -5x +4
y=2x - 4
Linear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex]
m = slopeb = y-intercept (the value of y when x=0)Solving the QuestionWe're given:
m = 5The line passes through the point (0,-4)Because the slope of the line is 5, we know that the m value in y=mx+b has to be 5. This rules out all the options except for the first, which is the only equation in which the m vaue is 5.
On top of that, we know that the y-intercept occurs when x=0. Given that the line passes through the point (0,-4), we know that the y-intercept is -4.
The equation in the first option tells us this as well, as it has -4 as the b value in y=mx+b.
Answery = 5x - 4
NEED AN ANSWER RIGHT NOW I HAVE ALMOST NO TIME PLEASE
The zeros of a quadratic relationship are 3 and 7. The optimal value is -3. Is the optimal value a maximum or minimum? Explain.
TYSM IF SOMEONE HELPS
Answer:
Minimum
Step-by-step explanation:
The zeros of a quadratic equation are the points at which the parabola intersects the x-axis.
[tex]\sf x=3 \implies x-3=0[/tex]
[tex]\sf x=7 \implies x-7=0[/tex]
[tex]\sf \implies y=a(x-3)(x-7)[/tex] (for some constant a)
[tex]\sf \implies y=ax^2-10ax+21a[/tex]
The optimal value is the y-coordinate of the vertex.
[tex]\sf \implies vertex=(x,-3)[/tex]
The x-coordinate of the vertex is the midpoint of the zeros:
[tex]\sf x=\dfrac{7-3}{2}+3=5[/tex]
[tex]\sf \implies vertex=(5,-3)[/tex]
Therefore, the vertex will be in Quadrant IV and so the parabola opens upwards into Quadrant I.
So the optimal value is a MINIMUM since the vertex is the minimum point of the curve.
Additional Information to create the equation of the quadratic
Vertex form of quadratic equation: [tex]\sf y=a(x-h)^2+k[/tex]
where (h, k) is the vertex
[tex]\sf \implies y=a(x-5)^2-3[/tex]
[tex]\sf \implies y=ax^2-10ax+25a-3[/tex]
To find the value of a, compare the constants of both equations:
[tex]\sf 21a=25a-3[/tex]
[tex]\sf \implies -4a=-3[/tex]
[tex]\sf \implies a=\dfrac34[/tex]
So the final equation is:
[tex]\sf factor \ form \implies y=\dfrac34(x-3)(x-7)[/tex]
[tex]\sf standard \ form\implies y=\dfrac34x^2-\dfrac{15}{2}x+\dfrac{63}{4}[/tex]
[tex]\sf vertex \ form \implies y=\dfrac34(x-5)^2-3[/tex]
What in the cinnamon toast crunch is 2+ x= 1
Answer:
x = -1
Step-by-step explanation:
Write an equation of the line that passes through (3,1) and (0,10) .
Answer:
(1,1) and (0,1)
Step-by-step explanation:
i think thats it i dont know what it looks like i need a picture of it
The graph of a linear relationship has a slope of -5 and passes through the point (2, -12). Write the equation of the line in slope-intercept form.
y=-5x-2
Solution:We are given the line's slope and a point that it passes through.Using the given information, we can write the equation of the line in Point-Slope Form:[tex]y-y_1=m(x-x_1)[/tex]In this formula, y₁ stands for the y-coordinate of the point, m stands for the slope of the line, and x₁ stands for the x-coordinate of the point.In this case, y₁ is equal to -12, m is equal to -5, and x₁ is equal to 2.Plug in the values:y-(-12)=-5(x-2)y+12=-5(x-2)Now, convert into Slope-Intercept Form, y=mx+b:y+12=-5x+10y=-5x+10-12y=-5x-2Hope it helps.
Do comment if you have any query.
3/11 x 4/9 fraction multiplication
pls help
Answer:
[tex] \frac{1}{9} [/tex]
Step-by-step explanation:
[tex] \frac{3}{11} \times \frac{4}{9} [/tex]
[tex] \frac{12}{108} [/tex]
[tex] \frac{1}{9} [/tex]
Identify the rational function whose graph is given below. Note the x-intercept of the graph is x=4 and the y-intercept of the graph is y=−3. The graph has one vertical asymptote at x=2
Using the vertical asymptote of the function, it is found that it is given by:
[tex]f(x) = -1.5\frac{(x - 4)}{x - 2}[/tex]
What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.In this problem, the x-intercept of the graph is x=4, hence the numerator is a(x - 4).
The graph has one vertical asymptote at x=2, hence the denominator is x - 2.
Hence:
[tex]f(x) = \frac{a(x - 4)}{x - 2}[/tex]
The y-intercept of the graph is y=−3, hence:
[tex]-3 = \frac{a(0 - 4)}{0 - 2}[/tex]
[tex]-4a = 6[/tex]
[tex]a = -1.5[/tex]
Thus, the function is:
[tex]f(x) = -1.5\frac{(x - 4)}{x - 2}[/tex]
More can be learned about asymptotes at https://brainly.com/question/16948935
Which of the following polynomials corresponds to the subtraction of the multivariate polynomials 19x3+
44x2y + 17 and y3 - 11xy2 + 2x2y - 13x3?
31X3.6 x3 +44 x2y + 11 xy2 +17
32 x3 - y3 + 42 x2y + 11 xy2 + 17
y3 - 6x3 + 33 x2y+ 2 xy2 + 17
20 x2 - y2 + 33 x2y+ 2 xy2 + 17
Answer:
(b) 32x^3 - y^3 + 42x^2y + 11xy^2 + 17
Step-by-step explanation:
To find the difference of the polynomials, write the equation expressing the difference, then simplify.
(19x^3 +44x^2y + 17) - (y^3 -11xy^2 +2x^2y -13x^3)
= (19 -(-13))x^3 -y^3 +(44 -2)x^2y +(-11)xy^2 +17
= 32x^3 -y^3 +42x^2y -11xy^2 +17
Jupiter takes 4332 earth days to orbit the sun mercury orbits the sun in 88 earth days. How many complete orbits will mercury make until Jupiter completes one
Answer:
At this distance, Jupiter takes 11.8618 Earth years to complete a single orbit of the Sun. In other words, a single Jovian year lasts the equivalent of 4,332.59 Earth days.
Step-by-step explanation:
that the best i can do !!!!
please help me!!!!!!!
I'll do part 1 to get you started
================================================
Answers:
D) 90, 45, 45A) centroidB) vertex of right triangleB) 41C) 5^4*3^5================================================
Explanations:
In an isosceles triangle, the base angles are congruent. Let's call them x. When dealing with a right triangle, those bases angles are also complementary and they add to 90 degrees. This means x+x = 90 solves to x = 45. Therefore we have a 45-45-90 triangle.This is something to memorize. There's not much explanation I can think of. The altitudes intersect at the orthocenter. For a right triangle, the altitude for the base is the height, and vice versa. The base and height intersect at the vertex point that's the 90 degree angle.The number 41 is prime because the only factors are 1 and itself. Something like 81 is not prime because 3 is a factor. We consider 81 to be composite.Rewrite 5^4*3^5 as 5*(5^3*3^5) to see that 5^3*3^5 is a divisor or factor of 5^4*3^5a die and a coin is rolled and tossed respectively.what is the probability of getting a five and a tail ?
Answer:
1/12
THIS DESERVES BRAINLISTTT
Step-by-step explanation:
There are 12 possible outcomes, 6 for the die for each of the 2 for the coin. Only one comprises a 5 and a tail so the probability, assuming a fair coin and die, is 1/12.
A die has 6 sides. A coin has two.
The probability of rolling a 5 on the die is 1/6.
The probability of getting tails is 1/2.
To get the combined probability, we must multiply the two together. This gives us a total probability of 1/12.
The probability of rolling a 5 and getting tails is 1/12.
Krista Kellman has an opportunity to purchase a government security that will pay $200,000 in 5 years.
surface area.... again
Answer:
1848 square inches
Step-by-step explanation:
surface area is the combined area of all the outside surfaces.
area of triangle is base x height / 2
There are two, so no need to divide
18 x 12 = 216
Area of rectangle is base x height
15 x 34 + 15 x 34 + 18 x 34 = 1632
Then add
216 + 1632 = 1848
Which of the following means less than or to?
A.not less than
B.at most
C.at least
D.mininum
Answer:
B. At most
Gives a maximum that it can be.
HELP ASAP will get brainly user !!!
Answer:
46
Step-by-step explanation:
p=6,q=12.
Put the numbers where the letters are.
7x6+12/3
46
Hope this helps!
Answer:
[tex]beinggreat78~here~to~help~you~learn![/tex]
When doing short equations like this, you want to use P.E.M.D.A.S. That just means you want to use parentheses first, exponents second, multiply third, divide fourth, add fifth, and subtract last. In this case, since there are no parentheses, or subtraction, or exponents, we cross those three out, and make multiplication our top priority. But, what exactly does seven p mean? p is an assigned, substituted number. Sometimes people will use p instead of x as subs, but it really does not matter. So now that we have enough information, let's start.
[tex]7p=7 * number(In~this~case,~6)[/tex]
[tex]7 * 6 = 42[/tex]
The next step is to divide q(12) by three. Before adding, you want to divide, because it is your second-top-priority.
[tex]\frac{q}{3} = \frac{12}{3}~which~is~4[/tex]
Lastly, add the quotient and the product together.
[tex]7p(42) + \frac{q}{3} (4) = 46[/tex]
And we are done! The result is 46, so that means your answer is D! Yay!
What have we learned while doing this problem?
We have learned how to multiply and divide in order of operations while dealing with substitution.. Carlee surveyed customers as they left a convenience store. She asked them, “How many items did you
purchase?” The results are shown in the line plot.
(a) How many customers were surveyed?
(b) What was the greatest number of items purchased by a customer?
(c) How many customers purchased 9 items?
(d) How many customers purchased at least 5 items?
(e) What was the median number of items purchased?
Answer:
We need the picture of the line plot in order to answer the question
Step-by-step explanation:
!! 100 PTS+BRAINLIEST 4 CORRECT ANSWER+EXPLANATION!!
use the photo provided
thanks
Answer:
19.0 cm (3 sf)
Step-by-step explanation:
Formula
[tex]\sf arc \ length=2\pi r \left(\dfrac{\theta}{360}}\right)[/tex]
(where r is the radius)
Arc length of white sector
Radius of white sector = 8 - 4.5 = 3.5 cm
[tex]\sf \implies arc \ length=2\pi \cdot 3.5 \left(\dfrac{50}{360}}\right)=\dfrac{35}{36} \pi \ cm[/tex]
Arc length of grey sector
Radius = 8 cm
[tex]\sf \implies arc \ length=2\pi \cdot 8 \left(\dfrac{50}{360}}\right)=\dfrac{20}{9} \pi \ cm[/tex]
Perimeter of shaded part
Perimeter = arc length (white) + arc length (grey) + 2 x 4.5
[tex]\sf =\dfrac{35}{36} \pi + \dfrac{20}{9} \pi +9[/tex]
[tex]\sf =19.0356432...[/tex]
[tex]\sf =19.0 \ cm \ (3 \ sf)[/tex]
A recipe for a batch of 3 dozen chocolate chip cookies calls for 3 cups of flour, one cup of sugar, and 2 cups of chocolate chips. how much of each ingredient should be used to make 2 dozen cookies
Answer:
2 cups of flour
2/3 cup of sugar
1 1/3 cups of chocolate chips
Step-by-step explanation:
3 dozen chocolate chip cookies
3 cups of flour
1 cup of sugar
2 cups of chocolate chips
The recipe is for 3 dozen cookies as stated above.
If you make 2 dozen cookies, then you are making 2/3 of the recipe since 2 is 2/3 of 3.
That means you need 2/3 of all the ingredients.
2/3 × 3 dozen chocolate chip cookies
2/3 × 3 cups of flour
2/3 × 1 cup of sugar
2/3 × 2 cups of chocolate chips
We simplify the amounts to:
2 dozen chocolate chip cookies
2 cups of flour
2/3 cup of sugar
1 1/3 cups of chocolate chips
Please help me
10 points
Answer:
113.04cm^2
Step-by-step explanation:
The area of a circle is pi * r^2
pi=3.14
So 6^2 is 36
36*3.14=113.04
Hope it helps!