Answer:
B. y = 2x + 4
Step-by-step explanation:
Parallel lines will share the same slope: therefore, A and C are out ( they are the negative reciprocals of the equation's slope. The y-value from the point given is 4, meaning the y-intercept for the equation of the parallel line has to be 4 to match the criteria given in the question. So the answer is B.
We want to get a line parallel to y = 2x + 7 that passes through the point (-2, 4). We will see that the correct option is D.
Parallel lines
We define general linear equations as:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that two lines are parallel if and only if they have the same slope and different y-intercept.
So if we want to have a line parallel to y = 2*x + 7, then our line must also have a slope equal to 2, so we have:
y = 2*x + b
To find the value of b we use the fact that the line passes through (-2, 4), replacing the values of the point in the equation we get:
4 = 2*(-2) + b
4 = -4 + b
4 + 4 = b
8 = b
Then the equation for our line is:
y = 2*x + 8
Then the correct option is D.
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hs and Equations: Practice
Question 2 of 5
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Determine the equation for the quadratic relationship graphed below.
у
-2
6
2
4
-6
✓
Submit
X+
X
Reset
Answer:
Retype your question. That question made me nauseous
4x3 = -5x - 21 solve for x
To solve for x in the equation 4x3 = -5x - 21, we can follow these steps:
1. Move all the terms containing x to one side of the equation, and move the constant term to the other side. We can do this by adding 5x to both sides and then adding 21 to both sides:
4x3 + 5x = -21
2. Factor out x from the left-hand side of the equation:
x(4x2 + 5) = -21
3. Divide both sides by (4x2 + 5):
x = -21 / (4x2 + 5)
So the solution for x is x = -21 / (4x2 + 5). Note that this is a rational function, which means that the value of x depends on the value of the variable x. This equation has no real solutions because the denominator is always positive, and the numerator is negative.
Mark thinks the equation y= 4^x will match the solid
graph. Mia thinks it will match the dotted graph.
Who is correct?
Mark
Mia
Both
Neither
Explain your thinking
Answer:
Mark
Step-by-step explanation:
because when x = 0; y = 1
x=1; y=4
and those points are on the solid line graph.
The thought of Mark is correct.
What are Exponential Functions?Exponential functions are functions where the independent variable, x is in the exponent.
Given a graph.
It has a solid line and a dotted line.
The given equation is, y = 4ˣ.
In order to find which graph shows the equation, find the points that the graph of the equation will pass through.
When x = 0, y = 4⁰ = 1
Solid graph passes through (0, 1).
Hence Mark is correct.
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30 books is 2% of its total books
Answer:
1500 books
Step-by-step explanation:
30 / 2 = 15
15 x 100 = 1500
An online advertisement asks you to participate in a survey. The survey asks how you feel about the current U.S. President. Identify the sampling method. convenience sampleself-select sample systematic sample random sample
We have the following:
First we discard the systematic and self-selected sampling because they do not fit the situation.
We have to a convenience sample simply includes the individuals who happen to be most accessible to the researcher, and a random sample where people are randomly taken anywhere to conduct the survey.
Due to current conditions, taking the online survey is the most convenient way for the researcher, therefore this is the correct answer.
Is the sum of 3/5 and v13 a rational or Irrational number
Answer:
The sum of 3/5 and Square root of 13 is irrational. Since square root of 13 is irrational. And when you add it gives u irrational.
Solve for x.
y=7x-72-9
Answer:
x=(y+81)/7
Step-by-step explanation:
y=7x-72-9
y=7x-81
y+81=7x
7x=y+81
x=(y+81)/7
x=(y+81)/7
Make t the subject when q equals 2-4t over t+3
Answer: \(t = \frac{2-3q}{q+4}\)
This is the same as writing t = (2-3q)/(q+4)
The parenthesis are needed so we know to divide all of "2-3q" all over top "q+4".
==================================================
Work Shown:
\(q = \frac{2-4t}{t+3}\\\\\\q(t+3) = 2-4t\\\\\\tq+3q = 2-4t\\\\\\tq+4t = 2-3q\\\\\\t(q+4) = 2-3q\\\\\\t = \frac{2-3q}{q+4}\\\\\\\)
To avoid a division by zero error, we need to have \(q \ne -4\)
Also notice how \(t = -3\) isn't possible for similar reasoning (refer to the first equation at the top).
Find the equation of the line passing through the points (8, -16) and (1, 5).
\((\stackrel{x_1}{8}~,~\stackrel{y_1}{-16})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{5}-\stackrel{y1}{(-16)}}}{\underset{\textit{\large run}} {\underset{x_2}{1}-\underset{x_1}{8}}} \implies \cfrac{5 +16}{-7} \implies \cfrac{ 21 }{ -7 } \implies - 3\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-16)}=\stackrel{m}{- 3}(x-\stackrel{x_1}{8}) \implies y +16 = - 3 ( x -8) \\\\\\ y+16=-3x+24\implies {\Large \begin{array}{llll} y=-3x+8 \end{array}}\)
In decimal form is 2/4 and 1/2 the same?
Yes. Both are equal to 0.5 in decimal form.
Answer:
yes
Step-by-step explanation:
2/4=1/2
0.5=0.5
so 2/4=1/2 in decimal form
90 minus 50 divided by 5 times 6 plus 2
Anwer:32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
To find out what to do first, use PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, ans Subtraction)
Now it should look like this: (90-((50/5)*6)) + 2
First, divide 50 by 5 and get 10
So now it will be like this: (90-(10 x 6) + 2
Next, multiply 10 by 6 and you'll get 60.
The problem is looks like this: (90 - 60) + 2
Then, subtract 60 from 90 and get 30.
30 + 2
Lastly, add 30 and 2 to get 30.
Hope this helps.
dose the graph show a function? explain how you know
Answer:
No
Step-by-step explanation:
the graph fails the vertical line test
The following data on price ($) and the overall score for 6 stereo headphones that were tested by Consumer Reports were as follows. Brand Bose Scullcandy Koss Phillips/O'Neill Denon JVC Price ($) 192 156 90 84 72 48 Score 78 78 60 60 42 a. Does the t test indicate a significant relationship between price and the overall score? The test t-conclusion at ?-.05 t1.68 (to 2 decimal places.)
Based on the given consume reports data, the t value is 2.228.
T - value:
In statistics, t - value measures the size of the difference relative to the variation in your sample data.
Given,
Here we have the tale with price ($) and the overall score for 6 stereo headphones that were tested by Consumer Reports.
Now, we need to find the t test indicate a significant relationship between price and the overall score.
While we looking into the question, the values in this one are,
n = 6
And table of 6 stereo headphone price and overall score are given.
Based on the given details we have calculated the frequency table and the table is attached below.
Based on the resulting table we have identified that the value of t is 2.228.
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A money box contains only 10-cent
and 20-cent coins. There are 28
coins with a total value of $3.80.
How many coins of each?
Answer:
Number of 10 cents = 18
Number of 20 cents = 10
Step-by-step explanation:
Let number of 10 cents be = x
Let number 20 cents be = y
Total number of coins = x + y = 28 -------- ( 1 )
Total amount in the box = 0.10 x + 0.20y = 3.80 ---------- ( 2 )
Solve the equations to find x and y
( 1 ) => x + y = 28
x = 28 - y
Substitute x in ( 2 )
( 2 ) => 0.10(28 - y) + 0.20y = 3.80
2.80 - 0.10y + 0.20y = 3.80
0.10 y = 3.80 - 2.80
0.10 y = 1.00
\(y = \frac{1}{0.10} = 10\)
y = 10
Substitute y in ( 1 ) => x + y = 28
x + 10 = 28
x = 28 - 10
x = 18
math math math math 4 you (it's easy)
Answer:
The formula used here would be V = 4/3 πr³
Step-by-step explanation:
2r=d
r=12/2
r=6 V=4
4/3 π r3 =4
4/3·π·6(cube)≈904.77868can be written as 905
classifying triangles assignment answer for brainleist
Answer:
5 is an acute triangle
6 is a right triangle
Step-by-step explanation:
Tell me if you need anything else, and remember to give me brainliest :P
3. The fuel economy of a car, measured in miles per gallon, is modeled by the function f(s) = -0.009s² +0.699s +12 where s represents the speed of the car, measured in miles per hour. What's the fuel economy of the car when it
travels at an average of 20 miles an hour?
O A. 20 miles per gallon
O B. 26.63 miles per gallon
4
O C.-10.02 miles per gallon"
O D. 22.38 miles per gallon
O Mark for review (Will be highlighted on the review page)
Answer:
The Answer Will Be D
Step-by-step explanation:
The fuel economy of a car is modeled by the function f(s) = -0.009s² +0.699s +12 where s represents the speed of the car, measured in miles per hour.We need to find the fuel economy of the car when it travels at an average of 20 miles an hour.f(20) = -0.009(20)² +0.699(20) +12f(20) = -0.009(400) +13.98f(20) = 9.6The fuel economy of the car when it travels at an average of 20 miles an hour is 9.6 miles per gallon.Therefore, the answer is option D. 22.38 miles per gallon.
What is the slope of the line that passes through the points (8, 0) and (-4, -8)?
Write your answer in simplest form.
Answer:
Step-by-step explanation:
(-8 - 0)/(-4 - 8)= -8/-12 = 2/3
The slope of the line that passes through the points (8, 0) and (-4, -8) exists at 0.66667.
How to estimate the slope of the line?The slope or gradient between two points in the Cartesian coordinate system. The slope exists the amount of slant a line retains and can maintain a positive, negative, zero, or undefined value.
Using the slope formula \((y_2 - y_1)/(x_2 - x_1)\)
\(x_1 = 8, y_1 = 0\) and \(x_2 = -4 , y_2= -8\)
slope \(= (y_2 - y_1)/(x_2 - x_1)\)
= ((-8) - 0) / ((-4) - (8))
= (-8) / (-12) = (-2) / (-3)
= 0.66667
Therefore, the slope of the line that passes through the points (8, 0) and (-4, -8) exists at 0.66667.
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What is the formula forfinding the area of a circle using its radius or diameter.
Answer:
The formula for finding the area of a circle using its radius is:
The formula for finding the area of a circle using its radius is:A = πr²
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.Note that π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14
Step-by-step explanation:
Hope it Helps
The formula for finding the area of a circle using its radius is π * r².
The formula for finding the area of a circle using its diameter is (π/4) * d².
The formula for finding the area of a circle using its radius is:
A = π * r²
where:
A represents the area of the circle,
π (pi) is a mathematical constant approximately equal to 3.14159, and
r represents the radius of the circle.
If you have the diameter of the circle instead of the radius, you can use the following formula:
A = (π/4) * d²
where:
A represents the area of the circle,
π (pi) is a mathematical constant approximately equal to 3.14159, and
d is the diameter of the circle.
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Someone please explain this andwer
Answer: 2756 cubic inches
Step-by-step explanation:
Well, first calculate the rectangular prism: 11 x 11 x 16 = 2304
Then the cylinder: pi x 4(sqrd) x 9 = about 452
then add them together
I hope this helps! :)
Solid of revolution (hyperbola) — related rates Calculus
The rate at which the depth of the liquid is increasing when it reaches one-third of the height of the bowl is (7/3)π cm³/s.
What is the rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl?To ascertain the rate at which the liquid's depth rises, let's find the derivative of the depth function with respect to time.
Let;
h(t) = depth of the liquidt = timeThe rate of change of the volume of the liquid with respect to time is constant and equal to 7π cm³/s.
To determine the height of the bowl, we can evaluate the curve y = [-4 / (8 - x)] - 1 when x = 4 and y = 7.6 and then find the absolute difference between the values.
h = |[-4 / (8 - 4)] - 1 - [-4 / (8 - 7.6)] - 1|
Let's calculate the rate at which the depth rises when it reaches one-third of the bowl's height.
D = depth of bowl
Using this relationship from the question given;
D = (1/3) * h
In order to determine the rate at which D will change with respect to time, let's differentiate both sides of the equation.
dD/dt = (1/3) * dh/dt
Since dh/dt is the rate at which the depth of the liquid is changing, which is constant and equal to 7π cm³/s, we can substitute it into the equation:
dD/dt = (1/3) * (7π)
Simplifying, we have:
dD/dt = (7/3)π cm³/s
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How many inches is 78% of 3 feet? how to solve
Please answer !!!! simplify using pemdas.
Answer:
7
Step-by-step explanation:
2*12 ÷6 -1 +4
PEMDAS
Since there are no parentheses or exponents
Multiply and divide from left to right
24 ÷6 -1 +4
4 -1 +4
Then add and subtract from left to right
3+4
7
Answer:
7
Step-by-step explanation:
P stands for (Parenthases)
E stands for (Exponents)
M stands for (Multiplycation)
D stands for (Division)
A stands for (Addition)
S stands for (Subtraction)
2 x 12 = 24 divided by 6 = 4. - 1 + 4 = 7
if carl has 20 drums, that are worth 200 each, but owes the cartel $1500 how much drums carl has left
Answer:
24 drums
Step-by-step explanation:
1 drum =200$
20 drums=20 x 200$ = 4000$
Amount left =4000$ -$1500 =2500$
Amount of drums he can buy = 24 drums with a remainder of 100 $
The product of 4x and 0 is:
a- 4x
b- 4
c- 0
d- none of these
In five successive hours, a car traveled 40 km, 45 km, 50 km, 35 km and 55 km. In the next
five hours, it traveled with an average speed of 65 km per hour. Find the total distance the
car traveled in 10 hours.
Answer:
Step-by-step explanation:
5 hours × 65 km/hour = 325 km
Total distance = 40+45+50+35+55+325 = 550 km
Total distance covered by the car in total journey including the distance covered with an average speed of 65km/hr is 600km.
Given, Average speed of car 65km/hr .
Distance covered in first five hours = 40 km + 45 km + 50 km + 35 km + 55 km
= 235km
Using speed, time, distance formula.
Distance = Speed × Time
Average speed 65km/hr for 5 hours.
Distance covered in 5 hours = 65km/hr × 5hours
= 65 × 5
= 325 km
Total distance covered in 10 hours = 325km + 235km
= 600km
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For the graph y = 12 find the slope of a line that is perpendicular to it and the slope of a line parallel to it. Explaln your
answer with two or more sentences.
The line y = 12 has a slope of 0 because it is a horizontal line, meaning that for any change in x, there is no change in y. Ths means the slope of a line parallel to it would be 0 (since parallel lines have the same slope), and the slope of a line perpendicular to it would be undefined (since perpendicular lines have slopes that are negative reciprocals of each other, and when you divide by 0, you get an undefined result).
Simplify-2(4x-6)+3(8x+2)
Answer:
-8x +12 + 24x +6 = 0
16x + 18 =0
16x = -18
x = - 18/16 = - 1.125
Complete the square to re-write the quadratic function in vertex form:
y= x2 - 5x +9
Answer: y =
Submit Answer
please this is very urgent. I will mark brainliest. this is 9th grade
Answer:
c
Step-by-step explanation: