Answer: (3x^2-1)(4x-3)
============================
Work Shown:
Use the factor by grouping method
12x^3-9x^2-4x+3
(12x^3-9x^2)+(-4x+3)
3x^2(4x-3)-1(4x-3)
(3x^2-1)(4x-3)
Help Please. Whoever answers it right with an explanation will get brainliest
Answer:
The answer is
ab( 11 + 9b)( a - 3b)Step-by-step explanation:
11a³b - 24a²b² - 27ab³
To factor the expression
First factor ab out
That's
ab ( 11a² - 24ab - 27b²)
Factor the terms in the bracket
Write - 24ab as a difference
That's
ab ( 11a² + 9ab - 33ab - 27b²)
Factor out a from the expression
ab [ a( 11a + 9b) - 33ab - 27b²) ]
Factor -3b from the expression
That's
ab [ a( 11a + 9b) - 3b( 11a + 9b) ]
Factor out 11a + 9b from the expression
We have the final answer as
ab( 11 + 9b)( a - 3b)Hope this helps you
Maya must choose a number between 67 and 113 that is a multiple of 3, 5, and 10. Write all the numbers that she could choose. If
there is more than one number, separate them with commas.
The number which is a multiple of 3,5 and 10 is 90
find the circumference of a circle with a diameter of 2.5 inches
Answer:
Circumference=2π*(radius)
= 2*3.14*2.5 inches
= 15.7 inches
f(x) = (2x – 1)(3x + 5)(x + 1) has zeros at I = -
1
cole
2= -1, and x =
What is the sign of f on the interval
5
<<
3
เล
?
Choose 1 answer:
А
f is always positive on the interval.
B
f is always negative on the interval.
f is sometimes positive and sometimes negative on the interval.
Interval of function f(x) is sometimes negative and sometimes positive.
What is interval of function?The function interval is said to be positive if the value of the function f (x) increases with an increase in the value of x. In contrast, the function interval is said to be negative if the value of the function f (x) decreases with the increase in the value of x.
Given function,
f(x) = (2x – 1)(3x + 5)(x + 1),
Zeros of function,
x = 1/2 = 0.5
x = -5/3 = - 1.6667
x = -1
From the graph
Interval of function is negative between -∞ < x < -1.6667
Interval of graph is positive between -5/3 < x < -1
Interval of function is negative between -1 < x < 0.5
Interval of graph is positive 0.5 < x < ∞
Hence, f(x) has sometimes positive interval and sometimes negative interval.
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In the straight line of gradient 3 and passes through the point (0,2), i. Write down the intercept. ii. Write down the equation,
Answer:
Ans:
i) y-int (0 , 2) and x-int (-2/3 , 0)
ii) y = 3x + 2
Step-by-step explanation:
we know:
m = 3 & point (0,2)
i
y-int is (0,2) because where x is 0 it intersects the y-axis
ii
from this we can sub it into the point slope formula which is:
y - y1 = m (x - x1) (y1 and x1 being the values from a point lying on the line)
y - 2 = 3 (x - 0)
y - 2 = 3x
y = 3x + 2 < this is the equation
if you also need to find the x-int then:
to find x-int make y = 0 and solve for x
y = 3x + 2 3x = - 2
0 = 3x + 2 x = -2/3
therefore x-int is (-2/3,0)
A baseball is hit 3 feet above the ground at 80 feet per second and at an angle of with respect to the ground. Find the maximum height. Round your answer to the nearest integer.
Answer:
53
Step-by-step explanation:
i used an angle of 45 degrees.
Distance from ground = 3feets
Angle = 45⁰
U is the initial velocity = 80ft/sec
g = 32
The question wants us to vfind maximum height
We have
r(t) = (80cos45⁰)ti + [3 + 80sin45⁰]t - 0.5(32)t²
We know cos 45 is also sin45 = 1/√2
r(t) = (40√2)ti + [3+40√2]t - 16t²
When we differentiate with respect to t:
r'(t) = (40√2)i + (40√2 - 32t)
= 40√2 =32t
t = 40√2/32
t= 20√2/16
We put the value of t into (3 + 40√2)t -16t²
When we substitute and simplify this we have
3 + 56.57 + 1.77 -16 +8
= 53.34
Which is approximately 53.
(A LOT OF POINTS) Given the linear equation 2x + y = 6, perform the necessary operations to put the equation into the proper general form. Explain in complete sentences how you knew that the equation was in the proper general form. Complete your work in the space provided or upload a file that can display math symbols if your work requires it. Include the entire process for establishing the general form of the equation and the general form.
Answer:
[tex]\huge\boxed{2x + y - 6 = 0}[/tex]
Step-by-step explanation:
2x + y = 6
Subtracting both sides by 6
2x + y - 6 = 0
Comparing it with the general form of equation [tex]\sf Ax+By +C = 0[/tex] , we get:
A = 2, B = 1 and C = -6.
So, the equation is in proper general form.
Answer:
[tex]\boxed{2x+y-6=0}[/tex]
Step-by-step explanation:
[tex]\sf The \ general \ form \ for \ the \ equation \ of \ a \ line \ is \ given \ as \ Ax+By+C=0.[/tex]
[tex]2x+y=6[/tex]
[tex]\sf Subtract \ 6 \ from \ both \ sides.[/tex]
[tex]2x+y-6=6-6[/tex]
[tex]2x+y-6=0[/tex]
[tex]\sf A=2 \ \ \ B = 1 \ \ \ C=-6[/tex]
[tex]\sf The \ equation \ is \ in \ general \ form.[/tex]
[tex]\sf Graph \ equation:[/tex]
Using the digits 0-9, at most only one time each, fill in the boxes to
Answer:
2 * 3 + 4 * 5 = 26
5 * 7 + 1 * 8 = 43
Step-by-step explanation:
Given
_ * _ + _ * _ = _ _
Required
Fill in the boxes with digits 0 to 9
From the question we understand that the result must be two digits i.e. _ _
To solve this, we'll make use of trial by error method:
Fill the first two boxes wit 2 and 3: _ * _ becomes 2 * 3
Fill the next two boxes with 4 and 5: _ * _ becomes 4 * 5
So,we have
2 * 3 + 4 * 5
6 + 20
26
Hence, the first combination is 2 * 3 + 4 * 5 = 26
Another possible combination is:
Fill the first two boxes wit 5 and 7: _ * _ becomes 5 * 7
Fill the next two boxes with 1 and 8: _ * _ becomes 1 * 8
So,we have
5 * 7 + 1 * 8
35 + 8
43
Hence, another combination is 5 * 7 + 1 * 8 = 43
Note that; there are more possible combinations
Answer the question :)
Answer:
A. -11
Step-by-step explanation:
In the function, replace x with -2
R(x) = x^2 - 3x - 1 ➡ R(-2) = (-2)^2 - 3 × 2 -1 = -11
You look over the songs in a jukebox and determine that you like of the songs. (a) What is the probability that you like the next four songs that are played? (Assume a song cannot be repeated.) (b) What is the probability that you do not like the any of the next four songs that are played? (Assume a song cannot be repeated.) (a) The probability that you like the next four songs that are played is nothing. (Round to three decimal places as needed.) (b) The probability that you do not like any of the next four songs that are played is nothing. (Round to three decimal places as needed.)
Complete Question
You look over the songs in a jukebox and determine that you like 18 of 59 songs.
(a) What is the probability that you like the next four songs that are played? (Assume a song cannot be repeated) Round to three decimal places as needed)
(b) What is the probability that you do not like the next four songs that are played? (Assume a song cannot be repeated.) Round to three decimal places as needed
Answer:
a
[tex]P = 0.0067[/tex]
b
[tex]Q = 0.222[/tex]
Step-by-step explanation:
From the question we are told that
The total number of songs is [tex]n = 59[/tex]
The number of songs you liked is [tex]k = 18[/tex]
The probability that you like the next four songs that are played? (Assume a song cannot be repeated) is mathematically represented as
[tex]P = \frac{ ^{k} C _4 }{ ^{n} C _4}[/tex]
=> [tex]P = \frac{ ^{18} C _4 }{ ^{59} C _4}[/tex]
Now using a combination calculator
[tex]P= \frac{ 3060}{ 455126}[/tex]
[tex]P = 0.0067[/tex]
The probability that you do not like the next four songs that are played? (Assume a song cannot be repeated.) is mathematically evaluated as
[tex]Q = \frac{ ^{n- k} C _4 }{ ^{n} C _4}[/tex]
=> [tex]Q = \frac{ ^{59- 18} C _4 }{ ^{n} C _4}[/tex]
=> [tex]Q = \frac{ ^{41} C _4 }{ ^{59} C _4}[/tex]
Now using a combination calculator
[tex]Q = \frac{ 101270}{ 455126}[/tex]
[tex]Q = 0.222[/tex]
15 = g + 8 pllllllllllssssss help
Four people share a taxi to the airport the fare was $36 and they gave the driver a tip equal to 25% of the fair. If they equally share the cost of the fair tip, how How much did each person pay?
Answer:
$11.25
Step-by-step explanation:
Total money given to the taxi driver=36+(25/100)*36=45
The cost borne by each person=45/4=11.25
Nicole took a taxi from her house to the airport. The taxi company charged a pick-up fee of $2.90 plus $1.75 per mile. The total fare was $44.90, not including the tip. Write and solve an equation which can be used to determine xx, the number of miles in the taxi ride.
9514 1404 393
Answer:
24 miles
Step-by-step explanation:
The total fare is the sum of the pickup fee and the mileage charge. For xx miles, the mileage charge will be 1.75xx, so the total is ...
1.75xx +2.90 = 44.90 . . . equation for xx
1.75xx = 42.00 . . . . . subtract 2.90
xx = 24 . . . . . . . . . divide by 1.75
The number of miles in Nicole's taxi ride was 24.
50 POINTS!!! i WILL GIVE BRAINLISET IF YOU ANSWER FAST Find the domain for the rational function f of x equals quantity x minus 3 over quantity 4 times x minus 1. (−∞, 3)(3, ∞) (−∞, −3)( −3, ∞) negative infinity to one fourth and one fourth to infinity negative infinity to negative one fourth and negative one fourth to infinity
Answer:
[tex](-\infty,1/4)\cup(1/4,\infty)[/tex]
The answer is C.
Step-by-step explanation:
We are given the rational function:
[tex]\displaystyle f(x) = \frac{x-3}{4x-1}[/tex]
In rational functions, the domain is always all real numbers except for the values when the denominator equals zero. In other words, we need to find the zeros of the denominator:
[tex]\displaystyle \begin{aligned}4x -1 & = 0 \\ \\ 4x & = 1 \\ \\ x & = \frac{1}{4} \end{aligned}[/tex]
Therefore, the domain is all real number except for x = 1/4.
In interval notation, this is:
[tex](-\infty,1/4)\cup(1/4,\infty)[/tex]
The left interval represents all the values to the left of 1/4.The right interval represents all the values to the right of 1/4. The union symbol is needed to combine the two. Note that we use parentheses instead of brackets because we do not include the 1/4 nor the infinities.
In conclusion, our answer is C.
Answer:
The third one
Step-by-step explanation:
Solve the following equation for the given variable.
-6x - 6 - 2x = 40
Round your answers to the nearest tenths place.
Step-by-step explanation:
- 6x - 6 - 2x = 40. collect the like terms
- 6x - 2x - 6 = 40
- 8x - 6 = 40 take 6 to the right
- 8x = 40 + 6
- 8x/ -8 = 46/ - 8
x = - 5.75
I hope this answers your question
Find the sum of 1 + 3/2 + 9/4 + …, if it exists.
Answer:
Option (4)
Step-by-step explanation:
Given sequence is,
[tex]1+\frac{3}{2}+\frac{9}{4}..........[/tex]
We can rewrite this sequence as,
[tex]1+\frac{3}{2}+(\frac{3}{2})^2.............[/tex]
There is a common ratio between the successive term and the previous term,
r = [tex]\frac{\frac{3}{2}}{1}[/tex]
r = [tex]\frac{3}{2}[/tex]
Therefore, it's a geometric sequence with infinite terms. In other words it's a geometric series.
Since sum of infinite geometric sequence is represented by the formula,
[tex]S_{n}=\frac{a}{1-r}[/tex] , when r < 1
where 'a' = first term of the sequence
r = common ratio
Since common ratio of the given infinite series is greater than 1 which makes the series divergent.
Therefore, sum of infinite terms of a series will be infinite Or the sum is not possible.
Option (4) will be the answer.
Find the reciprocal of the sum of the reciprocals of (1)/(-5) and -(1)/(6)
Answer:
-11
Step-by-step explanation:
Write out the original fractions: [tex]\frac{1}{-5} and \frac{-1}{6}[/tex] Flip the fractions around to get the reciprocal: [tex]\frac{-5}{1} + \frac{6}{-1}[/tex] Simplify: -5 and -6Add together: -5 + -6 = -11Which of the following units is incommensurable with kilograms
Answer:
All units of measurement that are not based on or do not measure mass or weight and volume are incommensurable with kilograms.
Step-by-step explanation:
A measure unit is said to be incommensurable with another if it does not have the same measurement basis with the other measure unit. For example, a measure in time cannot be measured in kilograms because time is measured in hours, minutes, seconds, days, etc. But, if a measurement base can be applied to two or more measurement units, then the measurement units are commensurable with the measurement base.
Find the value of x. Round to the nearest tenth.
Answer:
1.6 ft
Step-by-step explanation:
If you use the Pythagorean Theorem to solve for x, you get:
[tex]x=\sqrt{2.1^2-1.4^2}[/tex]
[tex]x=\sqrt{2.45} = 1.56524758425[/tex]
Rounded to the nearest tenth, the answer is 1.6
The second term in a geometric sequence is 50. The forth term in the same sequence is 112.5. what is the common ratio in this sequence?
Answer:
1.5
Step-by-step explanation:
Let the first term be a and the common ratio be r
ATQ, ar=50 and ar^3=112.5, divide these two. r^2=2.25, r=1.5
the factor of 12 are ...............
Answer:
1, 2, 3, 4, 6, and 12
Step-by-step explanation:
Answer:
1,2,3,4,6,12
Step-by-step explanation:
because they divide the numbers without any remainder.
Please help. I’ll mark you as brainliest if correct.
Answer:
Infinite number of solutions.
Step-by-step explanation:
There are an infinite number of solutions. If you graph both lines, you find they are the same line. If you multiply the send equation by -4, you’ll end up with the first equation. I’m not sure what your teacher means by specifying their form.
mr. jones has a patio in the sahpe of a trapezoid. a round fountain having a circumference of 14 pi linear feet is placed in the corner as showin in the accompanying diagram. to the nearest square foot, how much of the patio s area ins not taken up by the fountanin? reall tha the circumferencie of a circle is calculated using c = 2
The area of the patio not taken up by the fountain is 241ft²
Please find attached an image of the patio
Area of the patio not taken up by the fountain = area of patio - area of fountain
The patio is in a shape of a trapezoid. Thus, the area of the patio can be determined by using the formula for the area of a trapezoid
A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs
Characteristics of a trapezoid
It has 4 vertices It has 4 edges If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogramArea of a trapezoid = 0.5 x (sum of the lengths of the parallel sides) x height
Taking a look at the image, we are not provided with the height of the trapezoid, just the parallel sides and the hypotenuse.
Pythagoras theorem can be used to determine the the height of the trapezoid
The Pythagoras theorem : a² + b² = c²
where a = height
b = base = 20 ft - 12 ft = 8ft
8ft / 2 = 4
c = hypotenuse
a² + 4² = 25²
a² = 625 - 16
a² = 609
√609 = 24.68 ft
Area of the trapezoid = 0.5 x (20 + 12) x 24.68 = 394.88 ft²
The fountain is in the shape of a circle.
Area of a circle = πr²
Where : = π = pi = 22/7
R = radius
The radius would have to determined from the circumference
circumference of a circle = 2πr
14π = 2πr
r = 14π / 2π
r = 7
Area of the circle = [tex]\frac{22}{7}[/tex] × 7²
[tex]\frac{22}{7}[/tex] × 49 = 154 ft²
Area of the patio not taken up by the fountain = 394.88 ft² - 154 ft² = 240.88ft²
To round off to the nearest square, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
The tenth digit is greater than 5, so one is added to 0. The number becomes 241ft²
Learn more about how to determine the area of a trapezoid here : https://brainly.com/question/23814640?referrer=searchResults
Look at the image to receive the answers
Answer:
345.4 using the 3.14 for pi
345.6 using the pi button
Step-by-step explanation:
The surface area of a cylinder is given by
SA=2 pi rh+2 pir^2
The radius is 5 and the height is 6
SA = 2·pi·5·6+2·pi·5^2
SA = 60pi + 50pi
110pi
Letting pi = 3.14
SA =345.4
Letting pi = pi button
= 345.57519 = 345.6
Raul is a manager at a local restaurant. He earns $18.50 per hour. How many hours per week does Raul
work if he earns $740 per week?
how do you figure out ratios? the problem is 12 quarters to 34 dollars. thanks
Step-by-step explanation:
When you have a ratio, you put one number as the numerator and than one number as the denominator.
so it would be (12/34)=(x/68)
In this example I made the ratio you are comparing it to have 68 dollars, so when you solve for the amount of quarters you need it should be 24, since all of the numbers in this example are just being doubled.
To solve for x, you multiply 68 on both sides of the equation, 68×(12/34)=x
24=x
So this proves that this is how ratios, are used. It also does not matter what number you place on the numerator or denominator.
Solve the inequality for y 2.9 < 5.6+y simplify your answer as much as possible
Answer:
-2.7 < y
Step-by-step explanation:
2.9 < 5.6+y
Subtract 5.6 from each side
2.9-5.6 < 5.6-5.6+y
-2.7 < y
Common ratio 2/3, -2, 6
Answer:
The common ratio is - 3Step-by-step explanation:
To find the common ratio between the terms of the sequence divide the previous term by the next term.
That's
[tex] - 2 \div \frac{2}{3} = - 2 \times \frac{3}{2} = - 3[/tex]Or
[tex] \frac{6}{ - 2} = - 3[/tex]Therefore the common ratio of the sequence is - 3
Hope this helps you
Answer:
-3
Step-by-step explanation:
A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped10 times and the man is asked to predict the outcome in advance. He gets 7 out of10 correct. What is the probability that he would have done at least this well if hehad no ESP?
Answer:
I would say 70%
Step-by-step explanation:
He got 7 of of 10 (7/10 = 70%) right so I would say he would do just as well without ESP since it doesn't exist.
What is the equation of this graph
Answer:
y-1=x^2
Step-by-step explanation:
That is the equation of a parabola with vertex at (0,1). The equation is y-1=x^2.