Answer:
[tex]\bold{\green{(4x-3)(3x^{2}-1) }}[/tex]
Step-by-step explanation:
[tex]\sf{12x^{3}-9x^{2}-4x+3 }[/tex][tex]\sf{3x^{2}(4x-3)-1(4x-3) }[/tex][tex]\sf{(4x-3)(3x^{2}-1) }[/tex]Answer:
(3x^2 - 1)(4x - 3)
Step-by-step explanation:
We can use grouping to factor this
12x^3 – 9x^2 − 4x + 3
group into: (12x^3 – 9x^2)(− 4x + 3)
Solve one side at a time:
(12x^3 – 9x^2)
3x^2(4x - 3) factor out a 3x^2
(− 4x + 3)
- 1 (4x - 3) factor out a -1
put the two equations togeth
(3x^2 - 1)(4x + 3)
The polynomial function p(x)=x3−4x2+ax+20 has (x+1) as one of its factors.
What would be the remainder when p(x) is divided by (x+2)
The remainder when p(x) is divided by (x+2) is; -79.
What is the remainder when p(X) is divided by (X+1)?Since one of it's factors is (x+1), it follows that P(-1) = 0.
Hence; 0 = (-1)³ -4(-1)² -a +20
a = 15.
Hence, the polynomial is; p(x)=x3−4x2+15x+20
The remainder when p(x) is divided by (x+2) is;
p(-2) = (-2)³ -4(-2)² + 15(-5) +20
p(-2) = -8 -16 -75 +20
p(-2) = -79.
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According to a study, 45% of americans have type o blood. if a random number generator produces three-digit values from 000 to 999, which values would represent those having type o blood
The values that represent those having type O blood are the values from 000 to 449.
How to determine what range of the RNG should we use?
RNG refers to a random number generator, this means that from 000 to 999 (a total of 1000 numbers) each has the same probability of being randomly selected by the program.
Then, if we want to represent a probability of the 45%, then 0.45 of the number of elements must be assigned to what we want to represent (having type O blood).
0.45*1000 = 450
Then we can assign the first 450 numbers to have type O blood, the first 450 numbers are: {000, 001, ..., 449}
So the values that represent those having type O blood are the values from 000 to 449.
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What is the difference of the means of the distributions?
The different of the means of the distribution will be 15. Then the correct option is A.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
the graph is shown below.
Then the different of the means of the distribution will be
⇒ 45 - 30
⇒ 15
Then the correct option is A.
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Choose the correct answers:
Sue Jones is insured for bodily injury in the amount of 10/20. She is at fault in an accident in which Albert Smith is injured. Also injured in the accident is a pedestrian, Sam Dicson. Albert's medical expenses total $12,000, Sam's come to $8,000. How much will the insurance pay?
a. for Albert ____
b. for Sam _____
c. total ____
The Insurance company pay for Adam $ 6000 for Sam $ 4000, whose total becomes $ 10,000.
What is Insurance?Insurance is the area of applied mathematics that studies different risks to individuals, property and businesses, and ways to manage these risks. Insurance mathematics relies heavily on calculus, probability, statistics and interest theory.
Here,
For this case, what you should know is that Sue Jones insurance covers half of the expenses.
Equivalently, her insurance covers:
10/20 = 1/2 = 0.5
Therefore, we have then that
a. for Albert
0.5 * (12000) = $ 6000
b. for Sam
0.5 * (8000) = $ 4000
c. total
The sum of the results of parts a and b
$ 6000 + $ 4000 = $ 10,000
Thus, the Insurance company pay for Adam $ 6000 for Sam $ 4000, whose total becomes $ 10,000
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Draw a function of dy/dx for the graphical below (image). Please help!
Step-by-step explanation:
Remember that
[tex] \frac{dy}{dx} [/tex]
is the gradient or slope function.
So we need to analyze the slope of each graph over given time.l and how it changes.
For the 1st graph, we have a linear function.
Remember the special properties for all linear functions:
The slope at any two points on the line is the same.
So this means our slope here must be constant.
And since our slope is negative, our dy/dx, function must be a constant function that is negative. So
The answer for the first graph is draw a horizontal line underneath the x axis.
For the 2nd graph, we have a slope that is decreasing, reaches 0 at the minimum, then increases even more.
We can draw a linear function that is increasing forever for our dy/dx.
For the 3rd graph, we are increasing , till we hit 0, then decrease until we hit 0, then forever increases.
Our dy/dx will be a parabola that passes through the x axis twice at two different points, facing upwards.
The first , second, and third graph is the dy/dx graphs shown respectively.
All these are examples of possible graphs. If you need more clarification, let me know
A car with an initial value of $25,000is decreasing at a rate of 4% each other.at this rate,what Willy eh value be of the car after 5years?
Answer:
$ 20384.32
Step-by-step explanation:
Decreasing by 4 % each year means it retains 96 %
25 000 ( .96)^5 = 20384.32
Question 3
the stock market crash of 1929 saw many share prices collapse to a fraction of their previous value. the worst period for this were the two
days monday, october 28 and tuesday, october 29 in which the dow jones industrial average dropped by a total of 25% to a value of 198
points. what was its value before the 2-day drop?
Using proportions, it is found that it's value before the 2-day drop was of 264 points.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the value dropped by 25%, that is, it was 75% of the original amount, and the dropped value was of 198 points, hence the original amount was:
0.75x = 198
x = 198/0.75
x = 264
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what is 1 1/3 x 2 1/2
Answer:
10/3 or 3.3 or 3 1/3
Step-by-step explanation
If anyone is good at grade 8 math problems pls help answer these questions thanks!! :DD
WILL MARK BRAINLIEST TO WHOEVER CAN ANSWER THIS CORRECTLY!!!!
Answer:
53 Meters.
Step-by-step explanation:
34*34 + 41*41 = 2837.
1156 + 1681 = 2837.
The square root of 2837 would be your answer.
34*34 + 41*41 = 53.26349 * 53.26349
a*a + b*b = c*c.
a² + b² = c².
Answer:
21.74
Step-by-step explanation:
AC^2 = AB^2 + BC^2
AC^2 = 34^2 + 41^2
AC^2 = 1156 + 1681
AC^2 = 2837
AC = Square root of 2837
AC = 53.26..
meters saved by walking through the pond = (AB+BC)-53.26
=> (34+41)-53.26
=> 75 - 53.26
=> 21.74
hope this helps:)
Which of the following tables represents a function?
#1 Find each angle measure in the triangle. 3x⁰ 2x° 4x° The measure of the angle labeled 2xº angle labeled 3x° is Previous K °. The measure of the . The measure of the angle labeled 4x° is S Next
you have to answer it in less then 6 minutes
please
3x° is 60° , 2x° is 40° and 4x° is 80°
How to determine the angles
Note that the sum of angles in a triangle is 180°
Solve for x in the triangle
Then,
3x° +2x° + 4x° = 180°
Add the x°
9x° = 180°
Divide both sides by 9
x° = 180÷ 9 = 20°
If x° = 20
Then 3x° = 3× 20 = 60°
2x° = 2 × 20 = 40°
4x°= 4× 20 = 80°
Therefore, 3x° is 60° , 2x° is 40° and 4x° is 80°
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(04.01) Which of the following best defines 4^2/3
O Square root of 16
O Cube root of 4
O Square root of 4
O Cube root of 16
Answer:
Cube root of 16
Step-by-step explanation:
x^m/n =n/x^m
4^2/3 = 3/4^2=3/16
So it is Cube root of 16
Hope This Helped
the dimensions of a high school football field are represented by a width of 2x - 40 feet and a length of 3x + 60 feet
what expression represents the binomial factors you would multiply to find the area of the football field?
Analyze the diagram below and answer the question that follows. How much larger is the value of x than the value of y? A. 20 B. 70 C. 90 D. 110 Please select the best answer from the choices provided A B C D
Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles. The value of x is 110 more than the value of y.
What are vertical angles?Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.
The ∠AOB and ∠COD will be equal to each other because the two angle are vertically opposite angles. Therefore, we can write,
∠COD = ∠AOB
x + 2y = 50
x = 50 - 2y
Since angle ∠BOC and ∠COD are on the same line, the sum of this two angle will be equal to 180°. Therefore,
∠BOC + ∠COD = 180°
x - 2y + x + 2y = 180
2x = 180°
x = 90°
Substitue the value of x,
x + 2y = 50
90 + 2y = 50
2y = -40
y = -20
The difference in the value of x and y is,
Difference = 90 - (-20) = 110
Hence, the value of x is 110 more than the value of y.
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Using complete sentences, describe how the variable h and the variable k of the general formula for a cube root function effects the graph. The general formula is y=a^3√ x-h+k
Using translation concepts, it is found that the variables h and k affect the graph of the function as follows:
The function is shifted h units to the right.The function is shift k units up.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we consider the parent cube root function as follows:
[tex]y = \sqrt[3]{x}[/tex]
Then, these following changes happened:
x -> x - h, which means that the function was shifted h units to the right.y -> y + k, which means that the function was shifted k units up.More can be learned about translation concepts at https://brainly.com/question/4521517
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Under what condition,the determinant of a matrix is possible?
Answer:
There are three condition, where determinant can be zero. If the complete row of a matrix is zero. If any row or column of a matrix is the constant multiple of another row or column. If any two rows or columns are equal.If all the elements of a row (or column) are zeros, then the value of the determinant is zero. ) is 1.
Step-by-step explanation:
Consider two circular swimming pools. Pool A has a radius of 18 feet, and Pool B has a diameter of 11.16 meters. Complete the description for which pool has a greater circumference. Round to the nearest hundredth for each circumference. 1 foot ≈ 0.305 meters
The diameter of Pool A is
17.24
meters. So, the diameter of Pool
A
is greater, and the circumference is
greater
by
meters.
Answer:
The circumference of Pool B is greater than the circumference of Pool A by about 0.56 meters
Step-by-step explanation:
Identify the diameter of Pool A.
d = 2r
d = 2(18) Substitute 18 for r.
d = 36 ft
Convert from feet to meters. Use the ratio of 1 foot to 0.305 meters.
36 × 0.305 = 10.98
The diameter of Pool A is about 10.98 meters.
Use the formula to find the circumference of Pool A.
C = πd
C = π(10.98) Substitute 10.98 for d.
C ≈ 3.14(10.98) Substitute 3.14 for π.
C ≈ 34.48 Multiply. Round to the nearest hundredth.
The circumference of Pool A is about 34.48 meters.
Identify the diameter of Pool B.
d = 11.16 m
The diameter of Pool B is 11.16 meters.
Use the formula to find the circumference of Pool B.
C = πd
C = π(11.16) Substitute 11.16 for d.
C ≈ 3.14(11.16) Substitute 3.14 for π.
C ≈ 35.04 Multiply. Round to the nearest hundredth.
The circumference of Pool B is about 35.04 meters.
The circumference of Pool B is greater than the circumference of Pool A.
Find how much greater the circumference of Pool B is compared to the circumference of Pool A.
35.04 − 34.48 = 0.56
The circumference of Pool B is greater than the circumference of Pool A by about 0.56 meters.
5 hockey pucks and three hockey sticks cost $23. 5 hockey pucks and 1 hockey stick cost $20. How much does 1 hockey puck cost?
Answer:
$3.65
Step-by-step explanation:
The two purchases describe relations between quantity and price that can be used to write a system of equations for the prices of the hockey pucks and hockey sticks. These equations can be solved to find the price of a hockey puck.
__
setupLet x and y represent the prices of a hockey puck and a hockey stick, respectively. The two purchase values are ...
5x +3y = 23.50
5x +y = 20.00
solutionRearranging the second equation, we have an expression for y:
y = 20.00 -5x . . . . . . subtract 5x from both sides
Substituting this into the first equation gives ...
5x +3(20.00 -5x) = 23.50 . . . . . substitute for y
-10x +60.00 = 23.50 . . . . . . simplify
x -6.00 = -2.35 . . . . . . . . divide by -10
x = 3.65 . . . . . . . . . . . add 6
One hockey puck costs $3.65.
This Stem-and-Leaf Plot shows the number of ice cream cones that a local ice cream parlor sold during the last 25 days. What is the range of the data set? A. 45
B. 43
C. 41
D. 32
Answer:
D. 32
Step-by-step explanation:
The minimum value on the stem and leaf plot is 54
The maximum value on the stem and leaf plot is 86
to find the range,
max - min = 86 - 54 which is 32
Answer:
D) 32
Step-by-step explanation:
hope it helps!
What is the median pumpkin weight?
Answer:
median = 15Step-by-step explanation:
By reading the box plot :
The median is the number that corresponds to the line in the center of the box which is 15 in our case.
1. Simplify .........
Answer:
Pretty sure it would be sin(0) cos (0) - sin^2(0)
PLEASE HELP
good answer gets brainliest
Answer:
50
Step-by-step explanation:
90+40= 130
There are 180 degrees in a triangle.
180- 130 = 50
Calculate the amount of $4480 at 8% interest per annum for 3 years
Answer:
$5555.20
Step-by-step explanation:
F = P + I
I = Prt
I = $4480 × 0.08 × 3 = $1075.20
F = $4480 + $1075.20
F = $5555.20
What is the value of 4 in 27.43?
Answer: Tenths
Step-by-step explanation:
Write 4.135 as a fraction write f as a fraction don't worry about simplifying
Answer:
827/200
Step-by-step explanation:
Can't explain, it is I think.
Charlie wants to order lunch for his friends. He'll order 6 sandwiches and a $3
kid's meal for his little brother. Charlie has $27. How much can he spend on
each sandwich if they are all the same price?
Suppose that 60% of the students do homework regularly. It is also known that 80% of students who had been doing homework regularly, end up doing well in the course. Only 20% of students who had not been doing homework regularly end up doing well in the course. Given that a student did well in the course, what is the probability that the student had been doing homework regularly
Answer:
its A im really smart and because im smart
Is the solution to the quadratic equation written below rational or irrational? Justify your answer.
0 = 2x² + 3x - 10
Answer:
irrational
Step-by-step explanation:
It cant be square rooted perfectly.
Find x, rounding to the nearest tenth (one decimal place)
Answer:
x= 27.5
Step-by-step explanation:
Which expression represents the growth of an investment of $8,000 at 7.5% per year for a period of t years? 8000(1.075t) 8000(1.075)t 8000(0.075)t
Answer:
its b
Step-by-step explanation:
because im feeling generous enjoy