The answer would be: f(x) = x(x + 3)(x – 4)
find the greatest common factor of 6w⁴ and 5w³
Answer:
w³Step-by-step explanation:
Factorize each:
6w⁴ = 2*3*w*w*w*w5w³ = 5*w*w*wGCF = w*w*w = w³
Greatest common factor means we need GCF
Let's find
6w^4=2(3)(w)(w)(w)(w)=6w^3w5w^3=5(w^3)GCF=w^3
Done
In a basketball game, River scored 15% more points than Paul. If r is the number of points that River scored and p is the number of points that Paul scored, which equations are correct. Select all that apply.
Answer:
\(r = \dfrac{23}{20} p\)
Step-by-step explanation:
Number of points scored by River = \(r\)
Number of points scored by Paul = \(p\)
River has scored 15% more points that Paul.
To find:
Equation to represent the given condition.
Solution:
As per the given question statement, Number of points scored by River is 15% more than that of Paul's.
15% of points scored by Paul = 15% of \(p\) = \(\frac{15}{100}p\)
15% more means total points scored by Paul plus 15% of points scored by Paul.
Therefore, we can write the following:
\(r = p + 15\%\ of\ p\\\Rightarrow r = p + \dfrac{15}{100} p\\\Rightarrow r = \dfrac{115}{100} p\\\Rightarrow r = \dfrac{23}{20} p\)
as a town gets smaller, the population of its high school decreases by 6% each year. the senior class has 250 students right now. in how many years will it have about 150 students solve without graphing using pert
An equation of the question is 250 × 0.94^n = 150 and in approx 8 years it will have about 150 students.
The population of its high school decreases by 6% each year.
The senior class has 250 students now.
Each year decrease in population = 6% = 0.06
So it can be = 1 - 0.06 = 0.94
Total student now = 250
Let n be the number of years before the class will have students.
So the equation should be = 250 × 0.94^n
After years left students = 150.
Now the equation should be
250 × 0.94^n = 150
Now solving the equation.
Divide by 250 on both side, we get
0.94^n = 150/250
0.94^n = 3/5
Taking log on both side, we get
log(0.94^n) = log(3/5)
Using the formula log(m^n) = n logm and log(m/n) = log m - log n
n log(0.94) = log3 - log5
Now finding the value of log using calculator
n (-0.062) = 1.099 - 1.61
(-0.062)n = -0.511
Divide by (-0.062) on both side, we get
n = 8.242
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The complete question is:
As a town gets smaller, the population of its high school decreases by 6% each year. The senior class has 250 students now. In how many years will it have about 150 students? Write an equation. Then solve the equation without graphing. Write an equation to represent this situation. Let n be the number of years before the class will have students.
A board of length 16 ¾ inches is cut into 4 equal pieces. If 7/8 of an inch is then removed from one of these pieces, what is the length of that piece?
Answer: \(\dfrac{53}{16}\ \text{or}\ 3\dfrac{5}{16}\)
Step-by-step explanation:
Given
Length of board is \(16\ \frac{3}{4}\)
It is divided into 4 equal pieces i.e. length of each piece is
\(\Rightarrow \dfrac{\frac{64+3}{4}}{4}=\dfrac{67}{16}\ \text{in.}\)
If \(\frac{7}{8}\) of an inch is removed from one of the pieces then,
\(\Rightarrow \dfrac{67}{16}-\dfrac{7}{8}\\\\\Rightarrow \dfrac{67}{16}-\dfrac{14}{16}=\dfrac{53}{16}\ \text{inch}\)
Tony is designing an indoor play area. He knows the width will be 14 feet. He wants the length to be a multiple of 6 and thus records it as 6x. The area of the indoor play area must be greater than 588 square feet. Write an inequality that can be used to find the possible x-values for the desired area. Include all necessary work to support your answer
Inequalities are used to represent the unequal expressions
The inequality is \(84x > 588\), and the possible values of x are greater than 7
How to determine the inequalityThe width is given as;
Width = 14 feet
The length is given as:
Length = 6x
The area of the play area is the product of its dimensions.
So, we have:
\(Area = 14 * 6x\)
\(Area = 84x\)
The area must be greater than 588 square feet.
So, we have:
\(84x > 588\)
Divide both sides by 84
\(x > 7\)
Hence, the inequality is \(84x > 588\), and the possible values of x are greater than 7
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please help will mark brainlyist
Answer:
45.5
Step-by-step explanation:
66+3x+8=5x+50
3x+74=5x+50
75=2x+50
2x=25
x=12.5
3×+8=45.5
what is a translation graph
Answer:A TRANSLATION OF A GRAPH
Step-by-step explanation:is its rigid movement, vertically or horizontally. On the left is the graph of the absolute value function.
There are 840 people sitting at tables at a
conference. If each table holds 12 people, there are ____ people at each table.
Answer:
The answer would be 70
Step-by-step explanation:All you have to do is divide 840 by 12 and you get 70 Hope this helps and have a great week:)
Answer:
70
Step-by-step explanation:
This is because 840/12=70
Hope it helps you
PLS RATE AS BRAINLIEST ANSWER
Determine whether the ordered pair is a solution of the linear equation y = -3/2x + 8 (2/37)
Answer:
No it is not a solution of the linear equation
Step-by-step explanation:
it is not a solution because
37= -3/2(2)+8
37= -3+8
37=5
how do I know what is the segment of a triangle?
The segment of a triangle is the median of the triangle. This is the line that join a vertex of the triangle to the opposite side of the triangle.
A storekeeper increased the price of hats by `5\%`. A hat was originally priced at `\$15. 00`. What is the new cost of the hat?
The new cost of the hat is $15.75.
The precise value that corresponds to the unit price paid is represented by the cost price. In certain equity market theories, this value is utilised to establish the value of stock holdings and is considered as a significant determinant of profitability.
As per the details share in the above question are as bellow,
The original price of the hat is $15.
The price of the hat is increased by 5%.
We have to find the new cost of the hat.
Adding 5% in original price we get,
= $15.00 + (5% × $15.00)
We have to write 5% in the form of 5/100
= $15.00 + (5/100 × $15.00)
= $15.00 + (0.05 × $15.00)
Solving further we get,
= $15.00 + $0.75
= $15.75
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Find the value of the angle rounded to 1 DP.
0
36°
12m
46m
The diagram is not drawn accurately.
Step-by-step explanation:
See image:
Which one of the following blood components would be most appropriate for a 9 year old girl who is suspected of having idopathic thrombocytopenic purpura (ITP), including a low platalet cound and bleeding gums
The most appropriate blood component for a 9-year-old girl suspected of having idiopathic thrombocytopenic purpura (ITP) would be platelets.
Idiopathic thrombocytopenic purpura (ITP) is a disorder that causes a low platelet count, leading to bleeding and bruising easily. Platelets are the component of blood responsible for clotting, which helps stop bleeding. In ITP, the body's immune system mistakenly attacks and destroys platelets, causing a decrease in their number. If a 9-year-old girl is suspected of having ITP and has bleeding gums, she would likely benefit from a transfusion of platelets. This is because the platelets can help stop the bleeding by forming clots.
Other blood components, such as red blood cells or plasma, would not address the underlying issue of a low platelet count. Platelets can be transfused through a process called a platelet transfusion, in which the donor platelets are separated from the blood and transfused into the recipient's bloodstream. In summary, platelets are the most appropriate blood component for a 9-year-old girl suspected of having ITP with bleeding gums, as they can help stop bleeding by forming clots.
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How do I solve this problem?
QR has a length of 2√3. According to the given question
HOW TO CALCULATE THE SIDE OF THE SQUARE ?
In order to solve for QR, we need to use the information given to us in the problem and apply some basic geometry concepts.
First, we know that the diagonals of a square are perpendicular bisectors of each other, meaning they intersect at a 90-degree angle and divide each other in half. This tells us that the length of the diagonal is equal to the square root of two times the length of one of the sides of the square, or d = s√2.
Next, we are given that the midpoint of one of the diagonals is point U, and that US has a length of 3. Because U is the midpoint of the diagonal, we know that SU and UR are equal in length. Let's call this length x.
Now we can use the Pythagorean theorem to solve for x:
(US)²+ (UR)² = (SR)²
3²+ x= (s√2)²
9 + x² = 2s²
We also know that SU and UR are each equal to x, so:
2x² = s²
We can substitute 2x² for s² in the previous equation:
9 + x² = 2(2x²)
9 + x²= 4x²
3x² = 9
x² = 3
x = √3
Now we can use x to solve for the length of QR:
QR = 2x = 2√3
Therefore, QR has a length of 2√3.
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each student desk holds 6 textbooks. if there are 12 desks in a room. How many textbooks can they hold altogether.
Answer:
72
Step-by-step explanation:
just times 6 by 12 to get the answer
0.23 or 2.3% which is greater?
Answer:
0.23 is greater
Answer:
0.23
Step-by-step explanation:
2.3% = 0.023
So 0.23*100=23% therefore larger than 2.3%
Any questions feel free to ask. Thanks
A hardware store charges a $40 rental fee and
$20 per day to rent a power washer. Which
equation correctly relates the total cost y to rent the
washer for x days? 8. F. 1-3
A. Y=20+40x. B. Y=40+20x
C. Y=40 -x/20.
D. Y=20 -x/ 40.
The equation correctly relates the total cost y to rent the washer for x days is option (B) Y = 40 + 20x
The rental fee of $40 is charged regardless of the number of days the power washer is rented. In addition to this fee, there is a daily charge of $20 per day.
Therefore, the total cost of renting the power washer for x days can be calculated by multiplying the daily charge by the number of days rented and adding the rental fee:
Total cost = (daily charge) x (number of days rented) + rental fee
Total cost = $20x + $40
This linear equation can be rearranged to the form:
Y = 40 + 20x
Therefore, the correct option is (B) Y = 40 + 20x
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6) A TV and external speakers cost $1,020. The cost of the TV is double that of the speakers.
How much do the TV and the speakers cost? Show your work.
Where do i move the graph (new points)?
Answer:
l
Step-by-step explanation:
If you deposit $5,000 into an account that pays 4.75% annual interest how much money will be in the account after 7 years if the account compounds
If you fit a slope and intercept at the same time, then their errors will be correlated. True or False?
The given statement "if you try to match a slope and an intercept at the same time, their mistakes will be related" is TRUE.
What is the intercept?A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis.
This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y.
These points satisfy x = 0 because of this.
The errors of a slope and an intercept will be connected if you fit them simultaneously.
By changing Y to 0 in the equation and figuring out X, you can always determine the X-intercept.
Similarly, by putting X to 0 in the equation and solving for Y, you can always determine the Y-intercept.
Therefore, the given statement "if you try to match a slope and an intercept at the same time, their mistakes will be related" is TRUE.
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Jeremy is using a pattern to make a kite.
which is the best name for the shape if his kite?
a regular quadrilateral
a regular rhombus
an irregular pentagon
an irregular quadrilateral
Answer:
D: an irregular quadrilateral
Step-by-step explanation:
def not a rhombus : A rhombus is a special case of a parallelogram. In a rhombus, opposite sides are parallel and the opposite angles are equal.
def not a pentagon, cause it's got only 4 sides.
def not a regular quadrilateral which must have 4 equal sides, and 4 equal angles, and its diagonals must bisect each other. Square is the only quadrilateral that satisfies all these conditions.
only D: An irregular quadrilateral is a quadrilateral with four sides that are not regular or the same.
What is the probability of rolling a 6 and then a 7 on a number cube?
Answer:
0%, there is no chance you can roll a 7 on a number cube with 6 sides.
If you meant a 5 and then a 6, or 2 rolls subsequently, it would be 1/36.
Step-by-step explanation:
1/6*1/6=1/36
Got stuck on this question
Answer:
x = -1
Step-by-step explanation:
3(2x + 7) = 6x + 21 (multiply all numbers in the bracket to the 3 outside the bracket.
6x + 21 = -31 + 46
+31 +31
6x + 52 = 46
-52 -52
6x = -6
÷6 ÷6
x = -1
Send Halp What is the interest rate if the investment is $1,000 at 16% simple interest for 20 yrs?
Answer:
The interest rate is already given as 16%. If you want to calculate the total interest earned on the investment, you can use the formula:
Simple Interest = (Principal x Rate x Time)/100
Where:
Principal = $1,000
Rate = 16%
Time = 20 years
Substituting the values, we get:
Simple Interest = (1000 x 16 x 20)/100 = $3,200
Therefore, the total interest earned on the investment is $3,200.
Step-by-step explanation:
Solve the equation. Be sure to check for extraneous solutions
1.√x+5=12
Answer: 45
Step-by-step explanation:
Answer:
So lets do this the ole fashion way the simple ole 1-step equation
Step-by-step explanation
x=7...........i think.....girl im only a freshman annd apparently ik geometery........so wouldnt it be 7+5=12...........cuh x+5=12........
x=7
I think
What is the value of x? enter your answer in the box. x = cm
The value of x in the given equation will be 2/5
From the data,
We have to determine the value of x.
The given equation is: 18x-16=-12x-4
For determining the value of x, we will first shift the like terms on one side of the equation.
So, for solving the value of x we will shift the terms containing x and the constant on both sides of the equation.
So, shifting -12x from the right-hand side of the equation to the left-hand side of the equation,
We will get it as:
18x+12x = -4+16
30x=12
Now for solving the value of x we will shift x from the left side of the equation to the right side of the equation.
So, the value of x will be = 12/30 = 2/5
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The correct question may be:
What is the value of x
18x-16=-12x-4
Enter your answer in the box.
A jar contains 12 more nickels than quarters. The total value of the quarters equals the total value of the nickels. How many quarters are there?
-----------------
This is the only information I got in the question!
There are 15 nickels and 3 quarters.
Let x represent the number of nickels and y represent the number of quarters. Each nickel is worth 5 cent ($0.05) and each quarter worth 25 cents ($0.25)
A jar contains 12 more nickels than quarters.
x = 12 + y
x - y = 12 (1)
Also the, total value of the quarters equals the total value of the nickels. hence:
0.05x = 0.25y
0.05x - 0.25y = 0 (2)
Therefore x = 15, y = 3
Therefore there are 15 nickels and 3 quarters.
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There are 3 quarters in the jar.
Let n = number of nickels and n' = number of quarters
Since the jar contains 12 more nickels than quarters, we have
n = n' + 12 (1)
Also, the total value of the quarters equals the total value of the nickels.
Since one nickel = $ 0.05 and 1 quarter = $ 0.25
n × 0.05 = n' × 0.25
0.05n = 0.25n'
Dividing both sides by 0.05, we have
n = 0.25n'/0.05
n = 5n'
Substituting n = 5n' into (1), we have
n = n' + 12
5n' = n' + 12
5n' - n' = 12
4n' = 12
Dividing both sides by 4, we have
n' = 12/4
n' = 3
So, there are 3 quarters in the jar.
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Can someone please help me ASAP?? It’s due today!! I will give brainliest If It’s correct!!
please do part a, b, and c
The five-number summary of each distribution is shown below.
The difference of the median value of the two data sets is 1.
The difference and multiple of variation for the range are 4 and 1.444.
How to determine the five-number summary of each distribution?Based on the information provided about the first data set (Girls), the five-number summary for the given data set include the following:
Minimum (Min) = 25.
First quartile (Q₁) = 26.
Median (Med) = 30.
Third quartile (Q₃) = 31.
Maximum (Max) = 34.
For the Boys, the five-number summary include the following:
Minimum (Min) = 23.
First quartile (Q₁) = 24.
Median (Med) = 29.
Third quartile (Q₃) = 32.
Maximum (Max) = 36.
Difference in median = 30 - 29
Difference in median = 1.
Range of girls = 34 - 25 = 9
Range of boys = 36 - 23 = 13
Difference in range = 13 - 9
Difference in range = 4.
Multiple of variation for range = 13/9 = 1.444.
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. (a) In the following model for the growth of rabbits, foxes, and hu- mans, R' = R + .3R - 17 - 2H F = F + 4R ..2F .3H H' = H + .IR + 1F + 1H determine the sum and max norms of the coefficient matrix A. (b) If the current vector of population sizes is p = [10, 10, 10], de- termine bounds (in sum and max norms) for the size of p' Ap. Compute p' and see how close it is to the norm bounds. (c) Give a sum norm bound on the size of population vector after four periods, p(4).
In a population growth model for rabbits, foxes, and humans, the sum norm of the coefficient matrix is 4.5 and the max norm is 4.4. Using these norms, we can bound the size of the population vector after one period.
(a) To find the coefficient matrix A, we identify the coefficients of the variables R, F, and H in the given model equations. Once we have A, we can calculate its sum norm by adding up the absolute values of its elements and its max norm by taking the maximum absolute value among its elements. (b) Given the population vector p = [10, 10, 10], we can calculate p'Ap by multiplying p' (transpose of p) with A and then with p. The resulting value will provide the bounds for the size of p'Ap in both sum and max norms. Comparing this value with the norm bounds will indicate how close they are. (c) To determine the sum norm bound for the population vector after four periods, p(4), we need to multiply A by itself four times and calculate the sum of the absolute values of its elements. This sum will give us the desired sum norm bound.
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