Answer:
y = - 2x + 2
Step-by-step explanation:
[tex]y-8=-2(x-(-3))\\y-8=-2(x+3)[/tex]
[tex]y-8=-2x-6[/tex]
[tex]y=-2x-6+8[/tex]
[tex]y=-2x+2[/tex]
Hope this helps
the function f multiplies it’s input by 2 and then subtracts 17 to produce its output. What is the symbolic representation of this operation
Answer:
f(x)= 2x-17
Step-by-step explanation:
Let, input be x,
Multiplying input by 2: 2x
then subtracting it by 17: 2x-17
Therefore, Symbolic representation required is : f(x)= 2x-17
The symbolic representation of the function defined is f(x) = 2x-17
What is function?A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given that, the function f multiplies it’s input by 2 and then subtracts 17 to produce its output. we need to express the operation into symbolic representation.
Let the input be x, then the output will be the value of f(x).
Therefore, it is given, the input is multiplied by 2, that mean,
f(x) = 2x
Then 17 is subtracted from it, that will give,
f(x) = 2x-17
Hence, the symbolic representation of the given operation is f(x) = 2x-17
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Which expressions are equivalent to the one below? Check all that apply.
25X
A. (5.5)*
B. 52x
C. 5.5x
D. 52.5x
E. 5.52x
F. 5.5X
Answer:
bca
Step-by-step explanation:
5x5=25 5 to the power of 2 is 25 plus the power of x on all of them
li has a jar full of marbles. In the jar there are 15bblue marbles, 10 red marbles and 16 purple marbles. a. She selects a marble at random from the jar. She does not replace the marble. She selects a second marble from the jar. What is the probability that both marbles are red? What is the correct interpretation of this question?
The probability that both marbles are red will be 0.055.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences. The probability is given as,
P = (Favorable event) / (Total event)
A jar full of marbles is kept by Li. There are 16 purple marbles, 10 red marbles, and 15 blue marbles in the jar. A stone is chosen at random by her from the jar. She leaves the marble alone. She takes another stone out of the jar.
The total number of event = 16 + 10 + 15 = 41
Then the probability of both marble should be red will be given as,
P = (10 / 41) x (9 / 40)
P = 0.055
Thus, the probability that both marbles are red will be 0.055.
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SOS, is for today!!!!
Given that the total length of the piece of steel is 25in, the numerical lengths of the first, second and third piece of the steel are 3in, 6in and 16in respectively.
What is the numerical length of each piece of the steel?Given the data in the question, let x represent the length of the first piece.
Length of first piece = xLength of second piece = 2xLength of third piece = 5x + 1Total length of the steel = 25 inTo determine the length of each piece, we equate the sum of the pieces to the total length of the steel ( 25in ).
x + 2x + ( 5x + 1 ) = 25
3x + 5x + 1 = 25
8x + 1 = 25
8x = 25 - 1
8x = 24
x = 24/8
x = 3
Hence,
Length of first piece = x = 3 inch
Length of second piece = 2x = 2(3) = 6 inch
Length of third piece = 5x + 1 = 5(3) + 1 = 15 + 1 = 16 inch
Given that the total length of the piece of steel is 25in, the numerical lengths of the first, second and third piece of the steel are 3in, 6in and 16in respectively.
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Which situation describes a non-proportional relationship?
The circumference of a circle with a radius of x units can be represented by y = 2zx.
The perimeter of an equilateral triangle with a side length of x units can be represented by y = 3x.
The total surface area of a cylinder with a radius of 1 unit and height of x units can be represented by
y = 2x + 2.
The radius of a circle with a diameter of x units can be represented by y=x.
Situation of non- proportional relationship :
The circumference of a circle with a radius of x units can be represented by = 2nx.
The perimeter of an equilateral triangle with a side length of x units can be represented by y = 3x
The total surface area of a cylinder with a radius of 1 unit and height of x units can be represented by y = 2xx + 2x
The radius of a circle with a diameter of x units can be represented by y = [tex]\frac{1}{2}x[/tex]
a proportional relationship is a relationship between two quantities in which the ratio of one quantity to the other quantity is constant. The graph of a proportional relationship is a line through the origin.
When ratios between quantities are not constant, a relationship may be linear but not proportional and the graph does not pass through the origin.
The graph shows the sales tax charged based
on the amount spent at a video game store in
a particular city. Does the graph show a linear
relationship? Is the relationship proportional
or nonproportional?
The graph shows a linear proportional
relationship because it is a line that contains
the origin.
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If f(x) = -2x² + 4 and g(x) = 3x - 3, find f (4) + g(-6).
Answer:
(-2[tex]x^{2}[/tex]+3x+1)
Step-by-step explanation:
f(x) = -2x² + 4 g(x) = 3x - 3 find f (4) + g(-6).
f(x)+g(x)
(-2[tex]x^{2}[/tex]+4) +(3x-3)
(-2[tex]x^{2}[/tex]+3x+4-3)
(-2[tex]x^{2}[/tex]+3x+1)
The product of 0.61 and 4 please
Answer:
4.61
Step-by-step explanation:
4.00 is the same as 4
4.00
0.61
--------+
4.61
A group of exchange students from Japan went to a convalescent home to sing songs for the seniors and to demonstrate origami. Groups of students and seniors sat together at tables so the students could teach the seniors to fold some origami figures. As it turned out, at each table there was either 1 student and 3 seniors, or 2 students and 4 seniors. There were 23 students and 61 seniors in all. How many tables were being used?
Answer:
19 tables
Step-by-step explanation:
Let X represent the number of tables that have 1 student and 3 seniors
Let Y represent the number of tables that have 2 student2 and 4 seniors
Therefore number students total
1X + 2Y =23 (1)
Number of seniors total
3X + 4Y = 61 (2)
Multiply equation (1) by 2 giving
2X + 4Y = 46 (3)
Subtract (3) from (2)
3X + 4Y - (2X+4y) = 61-46
3X + 4Y - 2X -4Y = 15
3X-2X = 15
X = 15
Plugging this value into equation (1) gives
1(15) + 2Y = 23
15 + 2Y = 23
Subtract 15 from both sides
2Y = 23 - 15
2Y = 8
Divide by 2 both sides
Y = 4
Thus total number of tables used = X +Y = 15+4 = 19
A 20-year U.S. Treasury bond has a 3.50 percent interest rate, while a same maturity corporate bond has a 5.25 percent interest rate. Real interest rates and inflation rate expectations would be the same for the two bonds. If a default risk premium of 1.50 percentage points is estimated for the corporate bond, determine the liquidity premium for the corporate bond.
The liquidity premium for the corporate bond is 0.25%.
What is liquidity?Any additional compensation needed to stimulate investment in assets that cannot be quickly and effectively converted into cash at fair market value is known as a liquidity premium. For instance, due to its relative illiquidity, a long-term bond will have a higher interest rate than a short-term bond.
Liquidity premium for corporate bond will be:
= 5.25 - 3.5 - 1.5
= Interest - Treasury - Default risk
= 0.25%.
Therefore, the liquidity is 1.25%.
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Please help, I don’t know how to solve this!
Two friends are playing with water balloons. They each start at the bucket of balloons and walk in opposite directions before tossing their balloons at each other. Joy walked 15 steps forward, and Shaunte walked 6 steps backwards. Which expression correctly represents the distance between the friends?
Answer choices
|−15| + 6 = 21 steps
|−15| + |−6| = 21 steps
15 + 6 = 21 steps
15 + |−6| = 21 steps
Answer: 15 + |−6| = 21 steps
Its stated that Joy walked 15 steps forward, meaning it would be a positive value. Shaunte walking backwards would give a negative value.
When a constant force acts upon an object, the acceleration of the object varies Inversely with its mass. When a certain constant force acts upon an object with
mass 7 kg, the acceleration of the object is 10 m/s². If the same force acts upon another object whose mass is 5 kg, what is this object's acceleration?
The acceleration of the object is found as 14 m/s².
What is defined as the Newton's second law of motion?Newton's second law states that acceleration of an object is determined by two variables: the net force acting on it and its mass.
The acceleration of the body is proportional to the net force exerting on it and inversely proportional to its mass. This implies that as the force that acts on an object increases, so does the object's acceleration. Similarly, as an object's mass increases, the object's acceleration decreases.The formula for the Newton's second law is;
F = ma
F = acting force in Newton
m = mass of the body in Kg.
a is the acceleration in m/s².
The mass of 7 kg accelerates with 10m/s².
Force acting on it is;
F = ma
F = 7×10
F = 10 N.
The same force is acting on the body of mass 5 kg.
F = ma
a = F/m
a = 70/5
a = 14 m/s².
Therefore, the acceleration of the body is found as 14 m/s².
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Please help solve…………………
Answer:
22.5
Step-by-step explanation:
∠EAB=2x (alternate interior angles)
∠AEB=180°-4x (linear pair)
2x+180-4x=6x (exterior angle theorem)180-2x=6x180=8xx=22.5Use braces to write the members of the set, or state that the set has no members.
The integers between 2 and 6 (not inclusive)
A.
{3, 4, 5}
{3, 4, 5}
B.
{3, 4, 5, 6}
C.
{2, 3, 4, 5}
D.
{2, 3, 4, 5, 6}
Answer: A. {3, 4, 5}
Explanation:
Write out the whole numbers from 2 to 6 to get 2,3,4,5,6
But we erase the first and last values since we aren't including those endpoints. So we end up with 3,4,5
expressions that are equivalent to k/2
A: k-2
B: 2/k
C: 1/2 k
D: k/2
E: k+k
The correct option is D: k/2 is the expression that is equivalent to the expression, K/2.
What is defined as the equivalent expressions?Two equations are equivalent unless and until they produce the same result for all matching variable values. As a result, we can determine whether 2 expressions seem to be equivalent by putting in many distinct corresponding values of the variables to ensure that each expression returns the same value in every instance.If we enter matching variable values into two mathematical expressions and get a different result from each expression, the two expressions really not equivalent.In response to the question;
We must determine the expression that is equivalent to k/2.
Among the options, Option D: k/2 is same as expression K/2.
Choice C, when written as (1/2)k, is equivalent to k/2 since they both imply half of k.
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49.95 pair of shoes;5% tax
How many jelly beans are in a 2-liter jar? HELP ME PLEASE
1. The number of sample size 1 jelly beans in a 2-liter jar is 645.
2. The number of sample size 2 jelly beans in a 2-liter jar is 640.
3. The number of sample size 3 jelly beans in a 2-liter jar is 637.
What is a mathematical operation?A mathematical operation is an expression involving the use of mathematical operands and operators to compute values.
Mathematical operations use variables, numbers, and operators (addition, subtraction, division, and multiplication).
Data and Calculations:Total weight = 1,150g
Weight of the jar = 440g
The total weight of the jelly beans = 710g (1,150 - 440)
Sample Size 1: the number of jelly beans = 645 (710/22.0 x 20)
Sample Size 2: the number of jelly beans = 640 (710/22.2 x 20)
Sample Size 3: the number of jelly beans = 637 (710/22.3 x 20)
Thus, the number of jelly beans in a 2-liter jar depends on the sample size of the jelly beans.
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????????????????????
Answer: 120 minutes, 105 km, proportional
Step-by-step explanation:
90 km/hr
180 km * 1 hr/90 km=
180 km/90 km * 1 hr=
2 hours=120 minutes
1 hour=60 minutes
70/60=x/90
7/6=x/90
7*90/6=x
x=7*15
x=105 km
Omar has 24 camival ride tickets and it takes 5 tickets to ride the roller coaster how many times can he ride the ride and how many tickets will have left over
Answer:
Omar can ride the roller coaster 4 times and will have 4 tickets leftover.
Step-by-step explanation:
For a more simple problem like this, long division is not necessary.
You may have learned the technique of finding how many times a divisor can "go in" to the dividend.
In this case, 5 (the cost of riding the coaster) can go into 24 (the amount Omar has) 4 times, because 5, 10, 15, 20. However, going in one more time puts us at 25, which Omar does not have, so 5 can only go into 24 5 times.
Since there is still 4 tickets leftover, Omar can ride the coaster 4 times, and will have 4 tickets left.
Help on this question please
Which of the following statements represents a function?
A. Students of their current age?
B. Countries to its capital?
C. A store to its merchandise
D. Teacher and student’s relationship
Answer:
B
Step-by-step explanation:
Capitals represents countries as the function
Which classifications within the real number system decribe all numbers in the set -1, 1, 0, 14/2, square root 25
The classification within the real number system that describes all numbers in the set -1, 1, 0, 14/2, square root 25 is; Rational Numbers
How to classify real numbers?
Real numbers can be defined as the union of both rational and irrational numbers.
Rational numbers are numbers that can be represented by fractions, such as exact roots and repeating decimals.
Irrational numbers cannot be represented by fractions, such as non-repeating decimals and non-exact roots.
Now;
-1 is a rational number
1 is a rational number
14/2 is a rational number
The square root of 25 is equal to 5 as 25 is a perfect square of 5. Hence, as 5 is an integer and can be expressed in the form of p/q root, then we say that 25 is rational number
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Convert the angle to Degrees, Minutes, and Seconds. 56.38°
Answer:
56 degrees
22 minutes
48 seconds
A company asks an investor for an investment of $800,000 in exchange for 15% equity in the business. What is the implied valuation of the business?
If a company asks an investor for an investment of $800,000 in exchange for 15% equity in the business. The implied valuation of the business is: $4,533,333.
Implied valuationFirst step is to calculate the equity valuation
Using this formula
Equity valuation=Amount invested/Equity rate
Let plug in the formula
Equity valuation=$800,000/.15
Equity valuation=$5,333,333
Second step is to calculate the implied valuation
Implied valuation=Equity valuation-Amount invested
Let plug in the formula
Implied valuation=$5,333,333-$800,000
Implied valuation=$4,533,333
Therefore If a company asks an investor for an investment of $800,000 in exchange for 15% equity in the business. The implied valuation of the business is: $4,533,333.
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What is the value of this expression if h 8, j = -1, and k = -12?
Value of the given expression j³k/h0 is 12
h = 8
j=-1
h = 8
In order to do this, we need to change the values of h, j, and k in the given statement = (-1)^3 (-12) / 8^0 ....(1)
Find the denominator by using (1)
(-1)³ (-12) / 1
Analyze each exponent.
= 12/1
Hence, j³k/h0 = 12
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Complete Question -
What is the value of this expression if h=8 ,j= -1 , and k= -12? j³k/h0
Question 6 (10 points)
=) Listen
The ratio of outdoor outdoor swimmers to indoor swimmers at the recreation center
is 3:2. If the center has 55 swimmers altogether, how many of them are indoor
swimmers?
22
44
none
33
Answer:
22
Step-by-step explanation:
The ratio tells us 2/5 of the swimmers are indoor swimmers.
55(2/5)=22
Mathematical connection A lighthouse casts a revolving beam of light as far as the pier
The light's coverage area is given mathematically as i.e. Area=[tex]\pi d^{2}[/tex]
Given that a lighthouse casts a revolving beam of light as far as they peir and asked the area is covered.
The revolving beam of light covers the whole space i.e entirely 360°
I.e. it forms a circle-like region
Area of circle = [tex]\pi r^{2}[/tex]{ where r is the radius of circle}
Let's assume the distance traveled by light as "d"
as it forms a circular region, it forms a circle of radius "d"
Mathematical connection i.e. area of the region
⇒area of circular region=[tex]\pi d^{2}[/tex] {where d is the radius of region}
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A rectangular garden is 6 ft longer than it is wide. Its area is 667 ft2. What are its dimensions?
The dimensions of the rectangular garden are 29 feet by 23 feet .
A rectangle is a quadrilateral with parallel opposite sides and equal angles. There are a lot of rectangular objects all around us. Any rectangular form's two defining characteristics are its length and width. A rectangle's longer and shorter sides are its width and length, respectively.
The area of a rectangle is given by length × width
Now the given area of the rectangle is 667 ft² .
Let the width of the rectangle is x ft. Therefore length = x + 6
Now area of the rectangle is x (x+6) = x² + 6 x
Therefore x² + 6 x = 667
or, x² + 6 x - 667 = 0
or, (x-23)(x+29) = 0
Either x = 23 or x = -29(not possible)
Hence the width is 23 feet.
Length = 23 + 6 = 29 feet
Therefore the dimensions of the rectangle are 29 feet by 23 feet .
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A couch with a list price of $2200 will be discounted 35 % at the time of purchase. What is the sale price before taxes?
The sale price before taxes and after discount is $1,430.
Given that A couch with a list price of $2200 will be discounted 35 % at the time of purchase and asked to find the sale price before taxes.
The original cost of the couch=$2200
The discount percentage=35 %
I.e. 35 % of $2200 is $770
The discount given to the customer will be 35% i.e. $770
⇒The selling price will be $770 less than the original cost price.
As a result, the selling price will be =$2200-$770
The Selling price of the couch is $1,430
Therefore,The sale price before taxes and after discount is $1,430.
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How is subtracting integers related to adding integers
Integer addition is the addition of integers with the same signs, whereas integer subtraction is the addition of integers with the opposite signs.
Are there any consistent rules for adding and subtracting integers?
Integer addition and subtraction formulas: 1) Subtract the two numbers and indicate the sign of the larger number if the two numbers have different signs, such as positive and negative. 2) Add the two numbers and give the common sign if the two numbers have the same sign, that is, either positive or negative signs.What in math is an integer?
An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples.Learn more about integer
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