11. The slope and y-intercept for each linear equation include:
y = 2x + 3 slope = 2 y-intercept = 3
y = -1/2(x) + 1 slope = -1/2 y-intercept = 1
The lines are perpendicular.
12. 4y = 8x - 2 slope = 2 y-intercept = -2
-4x + 2y = -1 slope = 2 y-intercept = -1/2
The lines are parallel.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.Question 11.
Based on the information provided above, we have the following linear equation;
y = mx + b
y = 2x + 3 ⇒ slope = 2 y-intercept = 3
y = -1/2(x) + 1 ⇒ slope = -1/2 y-intercept = 1
For perpendicular lines, we have:
m₁ × m₂ = -1
2 × m₂ = -1
m₂ = -1/2
Question 12.
Based on the information provided above, we have the following linear equation;
y = mx + b
4y = 8x - 2 ≡ y = 2x - 1/2 slope = 2 y-intercept = -1/2
-4x + 2y = -1 ≡ y = 2x - 1/2 slope = 2 y-intercept = -1/2
m₁ = m₂ = 2.
Therefore, the lines are parallel.
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26.5-9.3=?
help me pls
Answer:
17.2
Step-by-step explanation:
Please help me.I'll give you some points
from where I stopped, you could solve using a scientific calculator
Help pls ? What kind of exponent does this graph have !
Answer:
I think the answer is odd. I am not sure because I don't know this topic really well.
Step-by-step explanation:
could anyone please help? i'd appreciate it
Answer:
x = 30
Step-by-step explanation:
6x = 180
Hope it helps
imagine if adam sandler died:(
Answer:
its a good photo I would miss him so much if it was true
quadrilateral $abcd$ is a square. let $a,$ $b,$ $c$ be parallel lines passing through $a$, $b$, $c$, respectively. the distance between lines $a$ and $b$ is $12,$ and the distance between lines $b$ and $c$ is $17$. find the area of square $abcd$.
The area of square abcd is be parallel lines passing through $a$, $b$, $c$, respectively is the 433.
Squares are quadrilaterals with four congruent aspects and four proper angles, and additionally they have units of parallel aspects. Parallelograms are quadrilaterals with units of parallel aspects. Since squares have to be quadrilaterals with units of parallel aspects, then all squares are parallelograms.
Here we have the values the distance between lines a and b is 12, and the distance between lines b and c is 17.
The distance is 12 and 17
x^2 = 12^2 + 17^2 = 144 +289 = 433
433 is the total that is the area of square of abcd.
Thus the area = 433.
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what is the solution of the equation 3-8x=8/5x written as a fraction?
Answer:
x=5/16
Step-by-step explanation:
3-8x=8x/5
(3-8x)5=8x
15-40x=8x
15=8x+40x
15=48x
x=15/48
x=5/16 ans.
Help me please i really need it
Answer:
so whats the question
Step-by-step explanation:
Roland hires a mechanic to do some work. He pays y dollars per hour for a 3-hour job plus $48 in replacement parts. The total cost comes to $200. Please round to the nearest cent.
Create an equation that can be used to find the amount, in dollars, the mechanic charges per hour.
Let f(x)= 6x +\sqrt{(x+37)} Choose the form of the largest interval on which f has an inverse...
The domain of f is the interval [-37, ∞).
For a function to have an inverse, it must be one-to-one, which means that it must pass the horizontal line test, i.e., each horizontal line should intersect the graph of the function at most once.
The derivative of the function is:
\(f'(x) = 6 + (1/2√(x+37))\)
f'(x) is always positive because 6 is positive and the square root is positive, so f(x) is an increasing function. This means that f(x) is one-to-one and therefore has an inverse.
To determine the largest interval on which f has an inverse, we need to find the domain of f. The square root can only take non-negative values, so we must have x+37 ≥ 0, which means x ≥ -37.
Therefore, the domain of f is the interval [-37, ∞).
Since f is increasing over this interval, its inverse will also be increasing, and the largest interval on which f has an inverse is [-37, ∞).
The proper question is "Let f(x)=6x+√(x+37)Choose the form of the largest interval on which f has an inverse and enter the value(s) of the endpoint(s) in the appropriate blanks. Then find (f−1)′(0)
Endpoints(a ,b)"
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a cube has edge length 4 inches. a. find the surface area and volume of the cube. surface area square inches volume cubic inches b. the cube is dilated by a scale factor of 0.25. find the surface area and volume of the image. surface area square inches volume cubic inches
The surface area and volume of a cube with different edge length are
When a cube with edge length 4inches ,
Surface area = 96 square inches and Volume =64 cubic inches.
Cube dilated by scale factor 0.25 ,
Surface area = 6 square inches and Volume =1 cubic inches.
The surface area of a cube is = 6 times the area of one face.
Each face of this cube has an area equals to
= (4 inches) x (4 inches)
= 16 square inches,
So the total surface area is,
Surface area
= 6 x 16 square inches
= 96 square inches
The volume of a cube = length of one edge cubed.
Here, the edge length is 4 inches,
Volume
= (4 inches)^3
= 64 cubic inches
When a cube is dilated by a scale factor of 0.25, all of its edges are multiplied by 0.25.
This implies,
The edge length of the image cube is
0.25 x 4 inches = 1 inch.
Surface area of the image cube = 6 times the area of one face.
Each face of the image cube has an area of
= (1 inch) x (1 inch)
= 1 square inch,
So the total surface area is,
Surface area
= 6 x 1 square inch
= 6 square inches
Volume of the image cube = length of one edge cubed.
Here, the edge length is 1 inch,
Volume
= (1 inch)^3
= 1 cubic inch
Therefore, the surface area and volume for the given dimensions are
For edge length 4inches , Surface area = 96 square inches and Volume =64 cubic inches.
For scale factor 0.25 , Surface area = 6 square inches and Volume =1 cubic inches.
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Graph the line through (2, - 1) with m= 3.
Answer:
shown below
Explanation:
so first you can graph a dot at (2,-1), since it must go through that line. Then you can use the slope, 3, to figure out the next dot. The slope 3 can be put into a fraction, liking like 3/1. Then you use rise/run from your point (2,-1). You go up 3, and right 1. Using that, your next point is (3,2). Plot that dot, and then use a straight edge to draw your line. It looks like how it is in the picture.
Sasha is playing a game with two friends. Using the spinner pictured, one friend spun a one, and the other friend spun a four. Sasha needs to spin a number higher than both friends in order to win the game, and she wants to calculate her probability of winning. How many desired outcomes should Sasha use in her probability calculation
Sasha should use 2 desired outcomes in her probability calculation to determine that she has a 1/3 chance of winning the game.
To calculate Sasha's probability of winning, we need to determine how many desired outcomes she has. In this game, Sasha needs to spin a number higher than both of her friends' spins, which means she needs to spin a number greater than 1 and 4.
Let's analyze the spinner pictured. From the image, we can see that the spinner has numbers ranging from 1 to 6. Since Sasha needs to spin a number higher than 4, she has two options: 5 or 6.
Now, let's consider the desired outcomes. Sasha has two desired outcomes, which are spinning a 5 or spinning a 6. If she spins either of these numbers, she will have a number higher than both of her friends and win the game.
To calculate Sasha's probability of winning, we need to divide the number of desired outcomes by the total number of possible outcomes. In this case, the total number of possible outcomes is the number of sections on the spinner, which is 6.
Sasha's probability of winning is 2 desired outcomes divided by 6 total outcomes, which simplifies to 1/3.
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.
I am stuck on part b
Answer: answer is 3.
Step-by-step explanation:
Mean is the sum of all the numbers divided by how many numbers are being added.
Mean = (1 + 2 + 3 + 4 + 5)/5
= 15/5
= 3
the first car costs $90 to rent, and because of its fuel consumption rate, there’s an additional cost of $0.50 per kilometers driven. How much is it for 500 kilometers
Answer:
It would be $340 (with rental cost)
Without the rental cost it would be $250
Step-by-step explanation:
You have to multiply $0.50 with 500 since you drove 500 kilometers. That gives you $250. When you add the $90 to rent, you get $340.
Equation: 90 + .05k
k= kilometers
Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v, and w. u = i + j v = j + k w + i + k
Out of all the readers who visit a blog, 11% click on an advertisement. Predict how many readers will click on an advertisement if 500 people visit the blog in one day.
pls help me i rlly need to get this done today.
A coordinate grid is shown below:
A coordinate grid from negative 2 to 0 to positive 2 is drawn. There are three grid lines between a whole unit on the grid.
Part A: Which point represents the origin? (2 points)
Part B: Starting from the origin, explain how to plot the following three points accurately:
(−1, 1)
(1, −1.5)
(2, fraction 1 over 4)
(8 points
Answer:
Part A: The origin would be (0, 0)
Part B:
(-1, 1) starting from the origin (0,0), would move left 1 on the x-axis then you would move up 1 on the y-axis
(1, -1.5) starting from the origin (0,0), you would move to the right 1 on the x-axis, then you would move down 1.5 on the y-axis
(2, 1/4) starting from the origin (0,0), you would move to the right 2 on the x-axis, then you would move up 1/4 (.25).
a) The origin would be (0, 0).
What are Coordinates?Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane. The x axis (horizontal) and y axis (Verticle) are the two axes that make up a coordinate plane.
Given:
a) The origin would be (0, 0).
b) First, (-1, 1) move left 1 on the x-axis then you would move up 1 on the y-axis
Second, (1, -1.5) move to the right 1 on the x-axis, then move down 1.5 on the y-axis
Third, (2, 1/4) move to the right 2 on the x-axis, then move up 1/4 (.25).
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Is the following number rational or irrational?
v 45
Choose 1 answer:
Rational
Irrational
Answer:
its irrational cause its not a perfect square
Answer:
If your asking the square root of 45, then it's irrational since it never ends.
But, if it's just 45, then yes it is rational :)
What value of x makes x/20 and 3/4 proportionate
Answer:
Step-by-step explanation:
the fractions have to be equivalent to be in proportion so notice that
20 = 4·5 so
\(\frac{3}{4} = \frac{3*5}{4*5} = \frac{15}{20}\)
x= 15 because 15/20 is proportionate with 3/4
a company makes widgets from three machines. machine m1 makes 3000/hour, and 80% are good. machine m2 makes 4000/hour, and 90% are good. machine m3 makes 3000/hour, and 60% are good. all widgets are mixed together. what is the probability that a widget drawn at random is good
If all the widgets from the three machines are mixed together, then the probability that a good widget will be drawn at random is 0.78 or 78%.
Probability is defined as how likely an event is to occur, or how likely it is that a proposition is true.
If machine 1 makes 3000/hour and 80% are good, then the chances of it being good is 80% also or, 2400 out of 3000.
80% of 3000 is 2400
If machine 2 makes 4000/hour and 90% are good, then the chances of it being good is 90% also or, 3600 out of 4000.
90% of 4000 is 3600
If machine 3 makes 3000/hour and 60% are good, then the chances of it being good is 60% also or, 1800 out of 3000.
60% of 3000 is 1800
Mixing together the widgets from the three machines, use the formula to calculate the probability of an event which is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Probability(good) = (2400 + 3600 + 1800)/(3000 + 4000 + 3000)
Probability(good) = 7800/10000
Probability(good) = 0.78 or 78%
Hence, the probability that a good widget drawn at random is 0.78 or 78%.
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If Tristan borrows $4000 at an interest rate of 7.4% with a loan term of 3 years, how much does Tristan pay interest
The amount of Interest Tristan pays is $955.2
Given:
Tristan borrows $4000 at an interest rate of 7.4% with a loan term of 3 years.
we are asked to determine the interest Tristan pays for it:
we know:
P = $4000
r = 7.4%
t = 3 years.
Evaluate :
I = 4000(1+7.4%)³ - 4000
I = 4000(1+0.074)³ - 4000
I = 4000(1.074)³ - 4000
I = 4000(1.2388) - 4000
I = 4955.2 - 4000
I = 955.2
Hence we get the required interest as $955.2
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What is the probability a rolling a 1, 2 or 3 on a number cube on your first roll, then a 5 or 6 the second roll?
% (answer as a percent round to the nearest whole percent)
The probability of rolling dice twice
What is Probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Total no. of outcomes = 6
The probability of getting a 1,2 or 3 from the first rolling is 3/6.
The probability of getting a 5 or 6 from second rolling is 2/6
As the two rollings are independent,
you can just multiply two probability values to come up with a final answer.
Which is,
= (3/6) x (2/6)
= (1/2) x (1/3)
= (1/6)
The probability a rolling a 1, 2 or 3 on a number cube on your first roll, then a 5 or 6 the second roll is 1/6 or 0.16
Probability in % will be
0.16 x 100/100
= 16%
Hence, The probability a rolling a 1, 2 or 3 on a number cube on your first roll, then a 5 or 6 the second roll is 16%
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ILL GIVE BRAINLIESSTTT
Answer:
its "D"
Step-by-step explanation:
i used a graphing calculator
Analyze the following table of values and select the true statement.
y -1 -2 -4 -8 -32 -64
x 0 1 2 3 5 6
The relationship is linear.
The relationship is quadratic.
The relationship is exponential.
The relationship is neither linear, quadratic, nor exponential.
The weight of a piece of raw silk that is 100 yards long by 1.25 yards wide (standard width) is about 38 pounds. The weight of an equal amount of habutai silk is about 12 pounds. If katharine bought pieces of raw silk and habutai silk that were both 12.5 yards long, how much would they weigh together show your work pls
The total weight of the two pieces together is 6 pounds.
How much would the two pieces weigh together?A piece of raw silk that is 100 yards long by 1.25 yards wide weights 38lb.
Then, a piece that is 12.5 yards long (and still 1.25 yards wide) will weight:
M = (12.5/100)*38lb = 4.75 lb
And a piece of habotai silk that is 100 yards long by 1.25 yards wide weights 12lb.
Then, a piece that is 12.5 yards long will weigh:
M' = (12.5/100)*12lb = 1.5 lb
If we add these two, we get a total weight of:
M + M' = 4.5lb + 1.5lb = 6lb
The total weight of the two pieces together is 6 pounds.
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How do you find the vertex
Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the "vertex". If the quadratic is written in the form y = a(x – h)2 + k, then the vertex is the point (h, k).
The graph of g(x) is a transformation of the graph of f(x)=3x.
Enter the equation for g(x) in the box.
g(x) =
Considering the graph of g(x) which is a transformation of the graph of
f(x) = 3ˣ, the equation for g(x) is
g(x) = 3ˣ ⁺ ¹- 2
How to interpret the transformationTranslation say x units to the left is represented by positive x units while to the right is represented by negative x values. the left and right translation is restricted to the x values.
Translation say x units up is represented by positive x units while to the down is represented by negative x values. the top and down translation is restricted to the y values or the function itself.
The transformation of f(x) = 3ˣ include
translation 1 unit to the left = x + 1 putting to the equation yields 3ˣ ⁺ ¹
translation 2 units to the down = "the equation itself" - 1 putting to the equation yields 3ˣ ⁺ ¹- 2
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Solve for x. show work. 8+b/-4=5
Answer:
b=12
Step-by-step explanation:
factors other than the independent variable may also act on the dependent variable. if these factors vary systematically with the independent variable, they are called:
Factors other than independent variables which may act on the dependent variable , when these factors vary systematically with independent variable they are known as confounds variables or extraneous variable.
Factor which is other than the independent variable and might produce an effect in the given experiment.Manipulation of independent variable which has an effect on the expressions dependent variable.Other variables which has impact on changing the dependent variables are known as extraneous variable.Extraneous variables are also known as confounding variables.Confounding variables or extraneous variables these are the factors which does not manipulate and are part of the given experiment.Therefore, factors which vary systematically with the given independent variable is called confounds variables or extraneous variable.
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