Answers
Answer:
The answer would be B
Step-by-step explanation:
Related Questions
A line passes through (- 1, 1) and (3,9).
What is the equation of the line in slope-intercept form?
O y = x + 6
O y = 2x + 3
O y = x + 2
O y = 2x + 9
Answers
Answer:
y = 2x + 3
Step-by-step explanation:
Hi there!
We are given the points (-1, 1) and (3,9) which belong to a line
We want to write the equation of the line in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
First, let's find the slope of the line
The slope (m) can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
Let's label the values of the points before we start, to avoid confusion and mistakes
[tex]x_1 = -1\\y_1=1\\x_2=3\\y_2=9[/tex]
Now substitute into the formula (note: the formula has SUBTRACTION, and we have NEGATIVE numbers, so we'll end up subtracting a negative)
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{9-1}{3--1}[/tex]
Simplify
m=[tex]\frac{9-1}{3+1}[/tex]
m=[tex]\frac{8}{4}[/tex]
Divide
m = 2
The slope of the line is 2
We can substitute this as m in y=mx+b.
y = 2x + b
Now we need to find b
As the equation passes through the point (-1, 1) and (3, 9), we can use either point to help solve for b.
Taking (3, 9) for example:
substitute 3 as x and 9 as y.
9 = 2(3) + b
Multiply
9 = 6 + b
Subtract 6 from both sides
3 = b
Substitute 3 as b in the equation
y = 2x + 3
Hope this helps!
Topic: finding the equation of the line
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3.1 Find the equation of the line passing through (4, 5) and parallel to the line 3x – 2y = 4.
Answers
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
Find the equation of the line passing through (4, 5) and parallel to
3x-2y=4.
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
First of all, We need to convert this equation from standard form (ax+by=c) into slope-intercept form (y=mx+b).
[tex]\rightarrow[/tex] First, add 2y on both sides:-
[tex]\Large\textsf{3x+2y=4}[/tex]
[tex]\rightarrow[/tex] Now, subtract 3x on both sides:-
[tex]\Large\textsf{2y=-3x+4}[/tex]
[tex]\rightarrow[/tex] Divide by 2 on both sides
[tex]\Large\text{$y=-\displaystyle\frac{3}{2}x +2$}[/tex]
[tex]\rule{300}{3}[/tex]
Now, let's find the equation of the line that's parallel to the given line.
Remember, if lines are parallel to each other, then their slope's the same.
So the slope of the line that's parallel to the line whose equation we just found, is
[tex]\Large\text{$-\displaystyle\frac{3}{2}$}[/tex]
Now let's write the equation in point-slope form:-
[tex]\hookrightarrow\sf{y-y_1=m(x-x_1)}[/tex]
Replace numbers with letters, as follows:-
[tex]\sf{y-5=-\displaystyle\frac{3}{2} (x-4)}[/tex]
The equation above is the equation in point-slope form.
Incase you need it converted to slope intercept form, refer to the steps below ~
Multiply -3/2 times x and -4:-
[tex]\hookrightarrow\sf{y-5=-\displaystyle\frac{3}{2} x-6}[/tex]
Now, Add 5 on both sides:-
[tex]\hookrightarrow\sf{y=\displaystyle\frac{3}{2} x+1}[/tex]
[tex]\Uparrow\sf{Our\:equation\:in\:slope\;intercept\;form}[/tex]
Good luck with your studies.#TogetherWeGoFar
[tex]\rule{300}{1}[/tex]
Picture is attached! Select the reason that nest supports Statement 3 on the given proof
Answers
The reason that best supports statement 3 in the given proof is the substitution property of equality. The correct option is - D. Substitution
Substitution propertyThe substitution property of equality states that, if m = n, then m can be substituted in for n in any equation, and vice versa.
From the question, we are to determine the reason that best supports Statement 3
In the diagram, statement 3 is
m∠A ÷ 5 = 20°
From the given expressions,
m∠A ÷ 5 = m∠B and m∠B = 20°
By the substitution property, we can substitute 20° for m∠B in the first expression
That is,
m∠A ÷ 5 = m∠B becomes
m∠A ÷ 5 = 20°
Hence, the reason that best supports statement 3 in the given proof is the substitution property of equality. The correct option is - D. Substitution
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Find the area of the following figure.
300 cm2
312 cm2
252 cm2
400 cm2
Answers
Answer:
312cm2
Step-by-step explanation:
16*12=192
10*6/2=30
30*4=120
192+120=312
Find the domain of the graphed function.
j
O A. 1sxs 5
O B. x2 2
O C. 2 sxs 5
D. xis all real numbers.
Answers
Answer:
A. -1 ≤ x ≤ 3
Step-by-step explanation:
According to the graph, our x-values span from -1 to 3. Since both are closed dot, they are inclusive in the domain:
[-1, 3] or -1 ≤ x ≤ 3
Using Desmos, enter the data from the table and create a linear regression equation. Let x = time in years since
1900 and let y = minimum hourly wage. Remember, the line that is graphed is a “line of best fit” or a “trend line.”
The equation for that line is called a linear regression equation. Use the information given to you by desmos to
write the linear regression equation. Do not round.
Use the equation to estimate the minimum hourly wage of a U.S. worker in 2025. Use Desmos and round to the
nearest cent.
Minimum hourly wage =
Answers
Answer:
$8.61 (nearest cent)
Step-by-step explanation:
The graphed data with the line of best fit (attached).
From the graphing calculator, the given line of regression is:
y = 0.125873x - 7.11916
To estimate the minimum hourly wage in 2025:
⇒ x = 2025 - 1900 = 125
Substitute x = 125 into the equation:
⇒ y = 0.125873(125) - 7.11916
⇒ y = 8.614965
Therefore, minimum hourly wage = $8.61 (nearest cent)
You invest $2,800 in an account that
pays an interest rate of 5.5%,
compounded continuously. Calculate the balance of your account after 12 years
Answers
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2800\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ t=years\dotfill &12 \end{cases} \\\\\\ A=2800e^{0.055\cdot 12}\implies A=2800e^{0.66}\implies A\approx 5417.42[/tex]
Which of the following pairs of numbers contain like fractions
A. 3/2 and 4 44
B. 3/2 and 2/3
C.6/7, and 1 1/5,
D.5/6 and 10/12
Answers
Answer:
D. 5/6 and 10/12
Step-by-step explanation:
In a large high school, 18% of sophomores and 67% of seniors have part-time jobs. Suppose random samples of 32 sophomores and 31 seniors from this high school are asked if they have a part-time job. Let p hat Subscript under and p hat Subscript upper be the sample proportions of sophomores and seniors, respectively, who have part-time jobs. Which of the following is the correct shape and justification of the sampling distribution of P hat Subscript under Baseline minus p hat Subscript upper ? bimodal because one population proportion is centered at 0.18, while the other is centered at 0.67 approximately Normal because the expected numbers of successes and failures for each sample are all at least 10 not approximately Normal because the expected numbers of successes and failures for each sample are all at least 10 not approximately Normal because the expected numbers of successes and failures for the sophomores group are not both at least 10
Answers
Using the Central Limit Theorem, it is found that the correct statement is given by:
bimodal because one population proportion is centered at 0.18, while the other is centered at 0.67.
What does the Central Limit Theorem state?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex]
In this problem, for sophomores, we have that:
np = 32 x 0.18 = 5.76 < 10.
Hence the distribution cannot be normal, which means that the correct statement is:
bimodal because one population proportion is centered at 0.18, while the other is centered at 0.67.
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need help with this math
Answers
Answer :
It will take 5 hours for Rachel to catch up with Nick.Explaination :
Here we are given with two equations,
f = 7h + 20 (Equation No 1)f = 10h + 5 Equation No 2)So in order to calculate the number of hours (h). We would simply substitute the value of f in first equation. (i.e., keeping them equal)
>> 7h + 20 = 10h + 5
>> 10h - 7h = 20 - 5
>> 3h = 15
>> h = 15 / 3
>> h = 5
Jasmine had $120,000 last year.
This year she has $50,000.
What is the percentage
difference?
[?]%
(Round your answer to the nearest percent.)
Enter
Answers
Answer:
[tex] \approx58\%[/tex]
Step-by-step explanation:
Initial amount = $120,000Final amount = $50,000Difference in amount = 120,000 - 50,000 = $70,000Difference percentage [tex]=\frac{70,000\times 100}{120,000}[/tex]Difference percentage =58.33%Difference percentage[tex] \approx58\%[/tex]what is 3 to the square root of 1089
Answers
5.5590606e+15
PLEASE HELP ME ANSWER THIS PROBLEM
Answers
Answer:
9
Step-by-step explanation:
because 3*4=12 then divide 108 by 12 giving you 9
Please help surface area of a triangle
Answers
Answer:
A≈391.18
Step-by-step explanation:
The formula to find the surface area of a triangular prism is as follows:
Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)
Plug in . .
A=ah+bh+ch+[tex]\frac{1}{2}[/tex][tex]\sqrt{ a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4}[/tex]
A = 6 * 20 + 6 * 20 + 6 * 20 + [tex]\frac{1}{2}[/tex] * [tex]\sqrt{64 + 2 * (6 * 6)2 + 2 * (6 * 6)2 - 64 + 2 *(6 * 6)2 * 64}[/tex]
A≈391.18
Answer:
391.2 square cm
Step-by-step explanation:
Surface area of triangular prisml = 20 cm
Base area = 15.6 square cm
[tex]\sf \boxed{\text{Surface area of triangular prism = Perimeter of base * l + 2*base area}}[/tex]
= (6+6+6)*20 + 2*15.6
= 18*20 + 31.2
= 360 +31.2
= 391.2 square cm
Find the value of x given the EXTERIOR angle measures in a convex pentagon are x, 77, 72, 64, and 80.
Answers
Answer:
x = 67°
Step-by-step explanation:
The sum of the exterior angles of a convex pentagon is 360°.
Hence, by adding the given angle measures, we can find x.
⇒ x + 77 + 72 + 64 + 80 = 360
⇒ x + 149 + 144 = 360
⇒ x + 293 = 360
⇒ x = 67°
Answer:
The value of x is 67°Step-by-step explanation:
We know that exterior angles of any polygon sum to 360°.
Use the given angle measures to find the sum
x + 77 + 72 + 64 + 80 = 360Solve it for x
x + 293 = 360x = 360 - 293x = 67The local grocer is charging $17.50 for five pounds of hamburger. Determine total cost of hamburger based on the weight of the hamburger purchased.
Answers
Answer:
3.5
Step-by-step explanation:
17.50 divided by 5 is 3.5 so 1 pound is 3.5
Please assist with a question I am stuck on.
Answers
The two linear equations in this problem are:
a) d(t) = (3.1 mi/h)*tb) t(d) = d/(3.1 mi/h).How to find the linear equations?
a) First, we know the relation:
distance = speed*time.
In this case, we know that the speed is 3.1 miles per hour, so if the runner runs for t hours, we can write:
d(t) = (3.1 mi/h)*t
This is the linear equation that gives the distance as a function of time.
b) Now we want to get the time as a function of the distance, so we just need to isolate t,
t(d) = d/(3.1 mi/h).
This linear equation gives the time as a function of the distance d.
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Drag each tile to the correct box. Consider the given functions f, g, and h. x -1 0 1 2 3 4 f(x) -2 1 4 7 10 13 A graph of function g on a coordinate plane where the function intersects the Y-axis at 1 and the X-axis at minus 4. Place the tiles in order from least to greatest according to the average rate of change of the functions over the interval [0, 3]. function h function g function f , ,
Answers
Answer:
G, F, H
Step-by-step explanation:
I need help with number 11
Answers
Answer:
It would be C.
Step-by-step explanation:
Hope this helps! :)
Aiden has $6,000 in an account. The interest rate is 5% compounded annually. To the nearest cent, how much will he have in 5 years?
Answers
Answer:
$7,657.69
Step-by-step explanation:
To find this, use the interest formula:
[tex]A = P(1+r)^{t}[/tex]
A = final amount
P = principal amount ($6,000)
r = interest rate (5% or 0.05)
t = time (5 years)
Given this formula, we can plug in the information and find how much Aiden has after 5 years:
[tex]A = 6000(1+0.05)^{5}[/tex]
[tex]A = 6000(1.05)^{5}[/tex]
[tex]A = 7657.69[/tex]
Therefore, after 5 years Aiden will have $7,657.69.
I hope this helps! Good luck!
PLEASE HELP
Which function, g or h, is the inverse function for function f?
Answers
Answer: The function h because the graphs of f and h are symmetrical about the line y=x.
2/ 2 2/3 = 3/N solve for N
when i put this in my calculator it says unable to solve
Answers
Answer:
n = 9 / 2 or 4.5
Step-by-step explanation:
2/3 = 3/N
cross multiply
2 x n = 2n
3 x 3 = 9
2n = 9
divided both sides by 2
2n / 2 = 9 / 2
n = 9 / 2
the coefficients corresponding to k=0,1,2….,5 in the expansion of (x+y)^5 are
Answers
Answer:
1, 5, 10, 10, 5, 1
Step-by-step explanation:
The coefficients for the expansion of the 5th power of a binomial are found on the 5th row of Pascal's triangle. They are ...
1, 5, 10, 10, 5, 1
__
Algebraically, they are computed using the formula for 5 things taken k at a time:
5!/(k!(5-k)!)
What is the slope of the line that passes through the points(−8,2) and (-11, 3)? Write your answer in simplest form.
Answers
Answer: -1/3
Step-by-step explanation:
The formula is y2 - y1/ x2 - x1 . So the answer would be -1/3 bc 3 - 2 = 1 and -11 - (-8) = -3.
Y= 3-2=1
X= -11-(-8)= -3
Your slope is (- 1/3)
i. 2/5 + 1/2 - 1/10.
Answers
The answer is 0.8-
2/5=.4
1.2=.5
1/10=.1
Decimal: 0.8
Solve for x. Show all work.
Answers
Answer:
x = 10.
Step-by-step explanation:
By similar triangles:
3x - 5 / (3x - 5 +10) = 20 / 28
3x-5 / 3x+5 = 5/7
7(3x - 5) = 5(3x + 5)
21x - 35 = 15x + 25
6x = 60
x = 10.
Answer:
x= 10
Step-by-step explanation:
By similar triangles:
3x - 5 / (3x - 5 +10) = 20 / 28
3x-5 / 3x+5 = 5/7
7(3x - 5) = 5(3x + 5)
21x - 35 = 15x + 25
6x = 60
x = 10.
Find the measure of the arc or central angle indicated. Assume that the lines which appear to be diameters are actual diameters.
Answers
Answer:
It would most likely be 65
Step-by-step explanation:
180 - 115 = 65
Answer:
115°
Step-by-step explanation:
The measure of an arc is the measure of its central angle.
Since the central angle is 115°, its intercepted arc (which is marked with the questionmark) is also going to be 115°.
Help with the linear equations
Answers
Answer:
[tex]y \: intercept = - 1 \frac{1}{2} [/tex]
Step-by-step explanation:
The y intercept form for the equation of a line is
[tex]y = mx + c[/tex]
You should note that c represents the y-intercept of the line (where the line touches the y-axis)
[tex]y = mx + c \\ \\ we \:were\: given \:the \:equation \:y = x - \frac{3}{2} \\ \\ therefore \: the\: value \:of \:c \:is\: - \frac{3}{2} \:or -1 \frac {1}{2}[/tex]
Question #6 MultipleChoice
Show Answer
To find the amount of paper needed to cover the outside of a box, which of the following measurements would
you need to find?
volume of a rectangular prism
volume of a cylinder
surface area of a rectangular prism
surface area of a cylinder
Question #7 MultipleChoice
Show Answer
Answers
Hope that helps
Answer:
the surface area of a rectangular prism
Step-by-step explanation:
Is y=cos(x)/x an odd function, even function, or neither
Answers
The provided function y=cos(x)/x is an odd function because f(-x) = -f(x) then it is an odd function.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
[tex]\rm y = \dfrac{cos(x)}{x}[/tex]
From the definition of the even and odd function:
If f(-x) = f(x) then it is an even function
If f(-x) = -f(x) then it is an odd function
[tex]\rm y(-1) = \dfrac{cos(-x)}{-x}[/tex]
[tex]\rm y(-1) = -\dfrac{cos(x)}{x}[/tex]
cos(-x) = cosx
Thus, the provided function y=cos(x)/x is an odd function because f(-x) = -f(x) then it is an odd function.
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