Therefore , the solution of the given problem of equation comes out to be 9x^3 - 8x^2.
Explain the equation.A mathematical equation is a formula that uses the equal sign (=) to connect two statements and express equality. A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the components 3x + 5 and 14 in the equation 3x + 5 = 14 are separated by an equal sign. The equal sign is a crucial part of mathematical formulas, especially equations. Algebra is frequently utilized in equations. Algebra is used in mathematics when it is difficult to determine a precise quantity.
Here,
Polynomial function total
Polynomial functions are those that have a leading degree of three or higher. given the total;
(7x^3-4x^2)+(2x^3-4x^2)
Expand => (7x 3-4 times) + (2x 3-4 times)
= > 7x^3-4x^2 + 2x^3-4x^2
assemble similar terms
=> 7x^3 + 2x^3 - 4x^2 -4x^2
=> 9x^3 - 8x^2
Therefore , the solution of the given problem of equation comes out to be 9x^3 - 8x^2.
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What is the volume of the figure?
Answer:
yes
Step-by-step explanation:
maybe
Eric lost 65 dollars from his pocket.
Write a signed number to represent this change.
Can you help me with this
The linear function that passes through (3,1) and has a slope of -1/2 is defined as follows:
y = -0.5x + 2.5.
The graph of the linear function is given by the image presented at the end of the answer.
How to define the linear function?The linear function for this problem is defined in slope-intercept format, as follows:
y = mx + b.
In which the coefficients of the function are given as follows:
m is the slope, representing the rate of change of the output variable relative to the input variable.b is the y-intercept, representing the value assumed by the output variable y when the input variable x assumes a value of zero.The slope of the function in this problem is given as follows:
m = -1/2 = -0.5
Hence:
y = -0.5x + b.
The line passing through point (3,1) means that when x = 3, y = 1, and thus the intercept b is obtained as follows:
1 = -0.5(3) + b
1 = -1.5 + b
b = 2.5.
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Find three consecutive positive integers such that the product of the median and largest integer is 8 times the sum of the smallest and largest interger.
The positive integers are 14, 15 and 16
What is an algebraic expression?
An algebraic expression can be defined as an expression that is made up of coefficients, terms, variables, factors and constants.
From the given information, we have that;
Let the consecutive integers be;
x, x+ 1, x+ 2
This can be represented as;
(x+1)(x+2) = 8(x + x+ 2)
Now, expand the bracket
x² + 2x + x + 2 = 8(2x + 2)
x² + 3x + 2 = 16x + 16
collect like terms
x² + 3x - 16x + 2 - 16 = 0
Add or subtract like terms
x² - 13x - 14 = 0
Solve the quadratic equation
x² -14x + x - 14 = 0
factor in pairs
x(x- 14) + 1(x -14) = 0
Then,
x = -1
x = 14
Take 'x' as 14
smallest integer = 14
Median = 14 + 1 = 15
Largest integer = 16
Hence, the values are 14, 15 and 16
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select all pairs of vertical angles (ANSWER ASAP)
A large consumer goods company ran a television advertisement for one of its soap products. On the basis of a survey that was conducted, probabilities were assigned to the following events. The probabilities assigned were , , and a. If an individual recalls seeing the advertisement, what is the probability that the individual purchased the product (to 1 decimals)
0.30 is the probability that the individual purchased the product
What is probability?A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
The proportion between the total number of conceivable outcomes and the number of outcomes in a comprehensive collection of equally probable alternatives that result in a particular occurrence.
Example: When flipping a coin, there are only two possible outcomes: either it will land on its head or on its tail.
Let, B = individual purchased the product
S = individuals recalls seeing the advertisement.
Here, P(B) = 0.20
P(S) = 0.40
P(B ∩ S) = 0.12
Thus, P(B | S) = P(B ∩ S) / P(S)
= 0.12/0.40
= 0.30
P(B) = 0.20 < P(B | S) =0.30
Yes, thus the probability that an individual will purchase the product will increase if the individual sees the advertisement first.
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The complete question is as follows:
Find the equation of the linear function represented by the table below in slope-intercept form.
y = 3x+4 ← equation of linear function.
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
Here, we have,
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = y_2-y_1/x_2-x_1
with (x₁, y₁ ) = (- 3, - 5) and (x₂, y₂ ) = (1, 7) ← 2 ordered pairs from the table
m = 7+5/1+3
=12/4
= 3 ,
So, y = 3x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (1, 7 ), we get,
7= 3 + c
⇒ c = 7-3
= 4
Hence, y = 3x+4 ← equation of linear function
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Which graph best represents the equation x^2 + (y - 1)^2 = 3?
Answer:
smallest circle. last option
Step-by-step explanation:
ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
10
Step-by-step explanation:
The perimeter of a regular 11-sided polygon is 330cm.
Calculate the length of one side.
Tell how you work it out
Answer:
I don't know how to work it out because I have not answered this question
What is 37/6 - 5.25 I really need this answer ASAP
Answer:
11/12
Step-by-step explanation:
Someone please help!
A Find the value of the expression.
6/11 x 5/8
Please reduce your answer!
Answer:
You would multiply across and then simplify ur answer. So you would do 6*5 which is 30 and then do 11*8 which is 88. 30/88 reduced is 15/44
Hope this helped
[tex]\dfrac{6}{11} \times\dfrac{5}{8}[/tex]
When multiplying fractions, you have to multiply the numerator by numerator and the denominator by denominator.
[tex]\dfrac{6\time}{11} \times\dfrac{5}{8}[/tex]
[tex]\dfrac{6\times5}{11\times8}[/tex]
[tex]=\dfrac{30}{88}[/tex]
Reduce to simplest form:
[tex]\dfrac{30\div2}{88\div2}[/tex]
[tex]=\fbox{$\dfrac{15}{44} $}[/tex]
2/2+1/4 b hh b b b b b b b b b b b b
Answer:
[tex]\frac{2}{2} + \frac{1}{4} = \frac{5}{4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{2} + \frac{1}{4}[/tex]
Required
Solve
[tex]\frac{2}{2} + \frac{1}{4}[/tex]
Take LCM
[tex]\frac{2}{2} + \frac{1}{4} = \frac{4 + 1}{4}[/tex]
[tex]\frac{2}{2} + \frac{1}{4} = \frac{5}{4}[/tex]
Answer:
2/2 + 1/4 is 1.25 and b hh b b b b b b b b b b b b b b
Step-by-step explanation:
Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
86.2
Step-by-step explanation:
Based on the number of claims filed, a homeowners insurance company periodically reevaluates its premiums. It will either increase or decrease its premiums for all customers. Which measure provides the best information for its reevaluation?
The measure that provides the best information for the reevaluates of premiums by the homeowners insurance company, is A. claims per dollar value of property.
What influences a reevaluation of premiums ?Homeowners insurance companies may reevaluate premiums for a variety of reasons, including:
Changes in risk: Insurance companies regularly assess the risk associated with insuring a home, and if a home's risk profile changes, the premium may be adjusted. For example, if a home is located in an area that is prone to natural disasters such as floods or wildfires, the premium may be higher than for a home located in a safer area.Changes in the home: Homeowners insurance companies may reevaluate premiums if the homeowner makes changes to the home that increase its value or make it safer. For example, if the homeowner installs a new roof or a security system, the premium may be lowered as a result.Changes in claim history: Insurance companies may also reevaluate premiums if the homeowner makes a lot of claims or if the value of claims is higher than expected. This could lead to premium increase as the company has to cover that additional cost.This shows that claims per dollar value of a property can affect how an insurance company reevaluates rates.
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Options for this question include:
A. claims per dollar value of property
B. claims per year per city
C. claims per year
D. claims per sub-division
A water cup in the shape of a cone has a height of 4 inches and a maximum diameter of 3 inches. What is the volume of the water in the cup, to the nearest tenth of a cubic inch, when the cup is filled to half its height? E. 1.2 F. 3.5 G. 4.7 H. 14.1
Answer:
Step-by-step explanation:
A water cup in the shape of a cone has a height of 4 inches and a maximum diameter of 3 inches. What is the volume of the water in the cup, to the nearest tenth of a cubic inch, when the cup is filled to half its height? E. 1.2 F. 3.5 G. 4.7 H. 14.1
surface area of this triangle
On solving the provided question we can say that - area of the given triangle will be A = 60 cm sq.
What is triangle?Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.
here,
B = 8cm
H = 15 cm
A = 1/2 BH = 1/2 X 8 X 15 = 60cm sq.
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what is the equation for this graph pls help me and pls make sure it’s right:))
Answer:
y = 5x + 4
Step-by-step explanation:
First I found the slope by using the the definition that slope is rise/run so I saw that the y value went up from 4 to 9 which is 5 units and then the x value went up one in that same time. This means that the slope is 5/1. Then I found the y intercept by seeing where x = 0. On the graph you can see the line touches the y - axis at a value of 4 which means that the y - intercept is 4. Plugging these values into the y = mx + b equation you get y = 5x + 4.
Answer:
y = 5x + 4
Step-by-step explanation:
Slope-intercept form uses the formula y = mx + b where m is the slope and b is the y-intercept.
The slope is 5, because from one point to another, you go up 5 and over one (5/1)
So you can substitute the slope into the formula:
y = (5)x + b
The y intercept is 4 because that is where the line crosses the y axis.
So substitute that:
y = (5)x + (4)
y = 5x + 4
find the approximate surface area of the cylinder pictured below
HELP!
What is the distance between points (6, -9) and (-3, 4)?
Answer:
4 or [tex]\sqrt{250}[/tex]
Step-by-step explanation:
I used M a t h w a y. it's really helpful. Good luck.
Express the following in exponential notation: (-4) x ... x (-4) 11 times
Given:
The expression is:
[tex](-4)\times ...\times (-4) (11\text{ times})[/tex]
To find:
The exponential notation for the given expression.
Solution:
We know that
[tex]a\times a\times ...\times a(n\text{ times})=a^n[/tex] ...(i)
We have,
[tex](-4)\times ...\times (-4) (11\text{ times})[/tex]
Using (i), the given expression can be written as:
[tex](-4)\times ...\times (-4) (11\text{ times})=(-4)^{11}[/tex]
Therefore, the exponential notation of the given expression is [tex](-4)^{11}[/tex].
Solve for X. The question is what does X equal. This is a grade 7 math question.
Answer:
Step-by-step explanation:
Multiply both sides by - 21
-21 x x/-21 + 15 = 13 x -21
x + 15 = - 273
x = - 273 - 15
x = - 288
What word describes the genotype TT?
Answer: It's a homozygous dominant genotype.
Step-by-step explanation: Two capital letters or two lowercase letters are homozygous.
what number is in the same ratio to 64 as 5 is to 8
Answer: 102.4
Given ratio 5:8
Let's assume the answer to be x
5÷8 should be equal to 64÷x
∴ x= (64×8) ÷ 5
=102.4
The number that has the same ratio to 64 as 5:8 is gotten as; 40
How to Calculate Ratio?
We have the ratio 5:8.
Now, we want to find the number that has the same ratio to 64 as 5:8. Thus, we will use proportion to get this;
x/64 = 5/8
Cross multiply to get;
x = 64 * 5/8
x = 40
Jay wants to go paddleboarding at least 8 hours each week. If he averages 2 hours per day, write and solve an inequality to find how many days he will have to go kayaking.
An inequality to find how many days he will have to go kayaking. is; d ≥ 4
How to solve Inequality word problems?We are told that Jay wants to go paddle boarding at least 8 hours each week. This means greater than or equal to 8. That is the minimum number of hours each week is 8 hours.
Now, we are told that he averages 2 hours per day. If the number of days is given by d, then we have the inequality as;
2d ≥ 8
Divide both sides by 2 to get;
d ≥ 4
That is the domain of the number of days required to go kayaking
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WOMENA NGO provides transport refund to every member who attend a seminar as below. a Trainer of trainers (TOT) is given 40% of the money, a Trainer is given 30% of the money,a student lead and other participants share the remaining percentage equally.As a learner,using the knowledge of angles,drawing figures and percentages, draw a pie chart that would help the organization distribute the Transport refund. (Use radius of 4cm)
Therefore , the solution to the given question of percentage comes out to be 7.89.
What is a percentage?A% is a number that represents the percentage of 100 that it is, and it can also be stated as a decimal or a fraction. To convert a percentage to a fraction, place 100 in the denominator and the percentage number in the numerator.
Here,
Given : 40% of the money, a Trainer is given
30% of the money ,a student lead
Find the discount
40 * .15 = 6
Take this from the original price
0.30* 6.3 =1.89
The sale price is 6 + 1.89 =7.89
Therefore , the solution to the given question of percentage comes out to be 7.89.
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If a bag contains 16 red, 4 yellow, 20 blue, and 8 white balloons, what is the part-to-whole ratio of red balloons to all balloons?
A) 1:3
B) 1:4
C) 1:5
D) 1:6
Answer:
A
Step-by-step explanation:
There are 16 red balloons to 48 total. The ratio is 16:48. Simplified, it’s 1:3
Possibly free brainliest (Only if you give step-by-step explanation.
I'll answer ur question but the image is blurry
What scale factor was used to create the dilation below centered at point C?
Answer:
-2
Step-by-step explanation:
You want to know the dilation scale factor that gives triangle A'B'C from triangle ABC.
Scale factorWe notice that point A' is 4 units down and 2 units right of C, whereas A is 2 units up and 1 unit left of C. The ratio of these distances is the scale factor.
If up and right are positive, then ...
k = (A' -C)/(A -C) = (2, -4)/(-1, 2) = -2
The dilation scale factor is -2.