Which is a factor of 54xy + 45x + 18y + 15?

Answers

Answer 1

Upon slight rearrangement...

54xy+18y+45x+15 now factor 1st and 2nd pair of terms

18y(3x+1)+15(3x+1) which is equal to

(18y+15)(3x+1) and you can further factor the first binomial factor

3(6y+5)(3x+1)

Related Questions

You're 35 years old now, and you want to purchase life insurance which will cover your spouse for your lost income in the event of your death. You want this policy to last until what would be your normal retirement age of 65. Based on the given information, what is the best policy to buy?

Answers

a 30 year term policy .

30 year term policy beacause until you retire you want to be insured.

Sec^-1(-square root 2)

Answers

[tex]\bf \textit{let's say that, is an angle }\theta\quad so\qquad sec^{-1}(-\sqrt{2})=\theta \\\\\\ \textit{this means}\qquad sec(\theta )=-\sqrt{2}\quad but\quad sec(\theta)=\cfrac{1}{cos(\theta)}\qquad then \\\\\\ \cfrac{1}{cos(\theta)}=-\sqrt{2}\implies \cfrac{1}{-\sqrt{2}}=cos(\theta ) \\\\\\ \textit{now, if we rationalize the denominator, we get }-\cfrac{\sqrt{2}}{2} \\\\\\ -\cfrac{\sqrt{2}}{2}=cos(\theta )\implies cos^{-1}\left( -\frac{\sqrt{2}}{2} \right)=cos^{-1} [cos(\theta )][/tex]

[tex]\bf cos^{-1}\left( -\frac{\sqrt{2}}{2} \right)=\measuredangle \theta \implies \measuredangle \theta = \begin{cases} \frac{3\pi }{4}\\ \frac{5\pi }{4} \end{cases}[/tex]

If the sum of 7 and 9 is more than 12 add 3; if less, subtract 2. the correct answer is

Answers

The sum of 7 and 9 is:

7 + 9 = 16

The sum which is 16 is greater than 12. Therefore we add 3 to the sum:

16 + 3 = 19

Therefore the correct answer to this problem is 19.

what is the value of x to the nearest tenth

Answers

12.0 is the value of x to the nearest tenth

I think it is 12 because the approximate diameter is 24 and to x is the radius. To find the radius, you take the diameter and divide by two.

The average of six numbers is 4. a seventh number is added and the new average is 5. what is the seventh number?

Answers

the average of 6 numbers is 4....
t/6 = 4.....t = 24 (the total of the 6 numbers)

(24 + x) / 7 = 5
24 + x = 35
x = 35 - 24
x = 11 <== ur 7th number

According to the question, the seventh number is 11.

Use the concept of average defined as:

Average, also known as the mean, is a statistical measure that represents the central value of a set of numbers. It is calculated by summing up all the numbers in the set and dividing the sum by the total count of numbers.

To find the seventh number,

If the average of six numbers is 4, then the total sum of those six numbers would be 6 multiplied by 4, which is 24.

Assume the seventh number is 'x'.

If the new average (after adding the seventh number) is 5, then the total sum of all seven numbers would be 7 multiplied by 5, which is 35.

To find the seventh number 'x',

Subtract the sum of the initial six numbers (24) from the sum of all seven numbers (35).

This gives us 35 - 24 = 11.

Hence,

The seventh number is 11.

To know more about average visit:-

brainly.com/question/24057012

#SPJ5

An angle measures 7pi/9 radians. What is the degree measure of the angle?

Answers

To convert into degrees:

1. You should know the percentage of the angle with respect to 2pi:

(7pi/9) / (2pi) = 7/18

2. Then, multiply the ratio to the 2pi angle in degrees, which is 360

360 * (7/18) = 140

(7pi/9)(180/pi)
140°

multiplying by 180/pi give you a degree measure

On a 10-item test, three students in professor hsin's advanced chemistry seminar received scores of 2, 5, and 8, respectively. for this distribution of test scores, the standard deviation is equal to the square root of

Answers

The standard deviation is 5 because (2+5+8)/3=5. So the equal square root is square root of 25

What is the work done by moving in the force field f~ (x, y) = h2x 3 + 1, 2y 4 i along the parabola y = x 2 from (−1, 1) to (1, 1)?

a.compute directly

b.use the theorem?

Answers

The force field seems to be

[tex]\mathbf f(x,y)=\langle2x^3+1,2y^4\rangle[/tex]

(though it's not entirely clear whether that's it...)

The parabolic path can be parameterized by

[tex]\mathbf r(t)=\langle t,t^2\rangle[/tex]

where [tex]-1\le t\le1[/tex]. Then the work done by the field along the path is

[tex]\displaystyle\int_C\mathbf f(x,y)\cdot\mathrm d\mathbf r=\int_{t=-1}^{t=1}\langle2t^3+1,2t^8\rangle\cdot\langle1,2t\rangle\,\mathrm dt[/tex]
[tex]=\displaystyle\int_{-1}^1(2t^3+1+4t^9)\,\mathrm dt[/tex]
[tex]=2[/tex]

Not sure what theorem is being referred to in part (b). Perhaps you mean the gradient theorem? In which case you would need to show that there's a scalar function [tex]f(x,y)[/tex] such that [tex]\nabla f(x,y)=\mathbf f(x,y)[/tex]. We have

[tex]\nabla f(x,y)=\left\langle\dfrac{\partial f}{\partial x},\dfrac{\partial f}{\partial y}\right\rangle=\left\langle2x^3+1,2y^4\right\rangle[/tex]

from which we have

[tex]\dfrac{\partial f}{\partial x}=2x^3+1\implies f(x,y)=\displaystyle\int(2x^3+1)\,\mathrm dx[/tex]
[tex]\implies f(x,y)=\dfrac12x^4+x+g(y)[/tex]

[tex]\implies\dfrac{\partial f}{\partial y}=g'(y)=2y^4[/tex]
[tex]\implies g(y)=\dfrac25y^5+C[/tex]

[tex]\implies f(x,y)=\dfrac12x^4+x+\dfrac25y^5+C[/tex]

We have a candidate for a potential function, so we apply the gradient theorem, which asserts that the value of the line integral is path independent and can be determined by evaluating the potential function at the endpoints of the path. We then have

[tex]\displaystyle\int_C\mathbf f(x,y)\cdot\mathrm d\mathbf r=f(1,1)-f(-1,1)[/tex]
[tex]=\dfrac{19}{10}-\left(-\dfrac1{10}\right)[/tex]
[tex]=2[/tex]

as expected.

Who can help me with that one please ? Thanks!

Answers

∠APB is an inscribed angle
The measure of the intercepted arc is twice that of the inscribed angle ⇒
arc AB = 2 * ∠APB = 2 * 108 = 216°

Does anyone know the answer to this question?

Answers

f(x) = x-3

g(x) = 2f(x)

g(2) = 2(2-3) = 2 * -1 = -2

f(x) = Square root of x plus eight.; g(x) = 8x - 12 Find f(g(x))

Answers

Final answer:

To find f(g(x)), substitute g(x) into f(x) and simplify the expression to get the final answer. The final answer to the question would be as f(g(x)) = 8x⁴ - 32x³ + 32x² + 3

Explanation:

To find the value of f(g(x)) the following steps to be followed where the value of f(x) be substituted in g(x).

f(x) = 2x² + 3; g(x) = −2x² + 4x

Find f(g(x)) by substituting g(x) into f(x): f(g(x)) = 2(-2x² + 4x)² + 3

Simplify the expression: f(g(x)) = 2(4x⁴ - 16x³ + 16x²) + 3

Final answer after expansion: f(g(x)) = 8x⁴ - 32x³ + 32x² + 3

The original price of a couch is $650. It is on sale for $546. What is the percent change in the price off the couch?

Answers

%change=100(final-initial)/initial

%change=100(546-650)/650

%change= -16%

So 16% was taken off of the original price.

angle LMP and angle PMN are complementary. Find the value of x.

A. 22.5
B. 7.5
C. 15
D. 30

Answers

complimentary angles add up to 90 degrees

2x + 4x = 90
6x = 90
x = 90/6
x = 15 <==

The answer is C because if you multiply 15 * 4 and 15 * 2 it will sum to 90

For the function f(x) = –5x, which ordered pair will be a point on the graph of the function?
A.
(–5, 1)
B.
(2, 10)
C.
(15, –3)
D.
(0, 0)

Answers

f(x) = –5x
when x = 0, f(x) = –5(0) = 0

answer is D.
(0, 0)

Answer:

0,0 i think.. not sure so dont get mad at me

Step-by-step explanation:

A triangle has side lengths 9, 10, and 12. is it acute, obtuse, or right? explain.

Answers

Let "a", "b" and "с" be sides of the triangle ("с" is the longest side). The triangle will be:
right if a² + b² = c²
аcute if a² + b² > c²
obtuse if a² + b² < c²

We have a=9, b=10 and c=12

a² + b² = 9² + 10² = 81 + 100 = 181
and
c² = 12² = 144

181 > 144 ⇒ аcute triangle.

Final answer:

By applying the Pythagorean theorem and comparing the square of the longest side to the sum of the squares of the other two sides, it is determined that a triangle with sides of 9, 10, and 12 is an acute triangle since 144 is less than 181.

Explanation:

To determine whether a triangle with side lengths of 9, 10, and 12 is acute, obtuse, or right, we can apply the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) equals the sum of the squares of the lengths of the other two sides. If this condition is met, the triangle is right-angled. If the square of the longest side is greater than the sum of the squares of the other two sides, the triangle is obtuse. Conversely, if the square of the longest side is less than the sum of the squares of the other two sides, the triangle is acute.

For this triangle, the side lengths squared are:

9² = 8110² = 10012² = 144

Adding the squares of the two shorter sides: 81 + 100 = 181.

Since 144 < 181, the square of the longest side (12²) is less than the sum of the squares of the other two sides, indicating that this triangle is acute.

Two way Frequency table question

Answers

Answer: choice A

---------------------------------------------------------------------
---------------------------------------------------------------------

Work Shown:

P(TV) = (number who watch tv)/(number total)
P(TV) = 30/100
P(TV) = 0.30

P(Girl) = (number of girls)/(number total)
P(Girl) = 55/100
P(Girl) = 0.55

P(TV)*P(Girl) = 0.30*0.55 = 0.165 which rounds to 0.17
We'll use this value later. So let's call this M = 0.17

Look in the "girl" row and "tv" column. The value 17 is here.
This is out of 100 people total, so
P(TV and Girl) = 17/100 = 0.17
Call this value N = 0.17

Because M = N = 0.17 approximately, this means that the two variables "TV" and "Girl" are approximately independent

So the equation P(TV and Girl) = P(TV)*P(Girl) is approximately true in this example.

This points to choice A being the answer.

Hot dogs come in packs of 10 and buns come in packs of 8. Whats the least amount of packs you can buy to have the same amount of hot dogs and buns.

Answers

you'd need 8 packs of hot dogs and ten packs of buns!

HELP Please THANKS:((((

Answers

answer is C.

w + c <= 27

hope it helps

More than 5 acres will be planted with wheat, so
w>5.

Up to 27 acres will be filled with wheat and corn, so
w+c<=27

Final answer: A C

At an amusement park, Corey spends 7 minutes on a ride for every 20 minutes he spends waiting in lines. If he waits in line for 60 minutes, how many minutes does he spend on rides? [Type your answer as a number.]

Answers

he rides for 7 min and waits in line for 20 min, if he was to wait in line for 60 min then he would ride for 21 min, if you divide 20/60 then you'll get 3. Multiply the 7 with that 3 and you'll get "21".

Answer:

Step-by-step explanation:

Two numbers have a sum of 30 and a product of 209. what is the positive difference between them?

Answers

y + x = 30
xy = 209
y = 30 -x
x(30-x) = 209
30x - x^2 = 209
x^2 - 30x + 209 = 0
x = 19
y = 11

the difference is 19-11 = 8

The numbers are 11 and 19.

Given to us,Sum of the two numbers = 30,Product of the two numbers = 209,

Assumption

Let's assume that the first number be a and the second is b.

equation 1,

a + b = 30

equation 2,

ab = 209

Therefore, in equation 1,

[tex]a\times b = 209\\b= \dfrac{209}{a}[/tex]

substitute the value of b in equation 1,

[tex]a+b=30\\\\a+\dfrac{209}{a}=30\\\\\dfrac{a^2+209}{a} =30\\\\a^2 +209 = 30a\\a^2-30a +209 = 0[/tex]

[tex]a^2 -30a+209= 0\\a^2 -19a-11a+209= 0\\a(a-19)-11(a-19)=0\\(a-11)(a-19)=0[/tex]

Substituting the factor against 0,

[tex](a-11) = 0\\a = 11\\\\(a-19)=0\\a = 19[/tex]

Therefore, the numbers are 11 and 19.

Learn more about factorization:

https://brainly.com/question/6810544

The equation of a line is y = mx + 2. What is the value of m (the slope) if the line passes through point A(−5, −18)?

M=-4
M=4
M=1/4
M=7/8

Answers

we can input the point
remember that (x,y)
so we are given (-5,-18)
so when x=-5, y=-18
so

-18=-5m+2
minus 2 both sides
-20=-5m
divide both sides by -5
4=m
m=4
answer is 2nd option

y=4x -1 and 12x=3y+7

Answers

You didn't really ask a question, so I'm assuming you want to know if there are any solutions to BOTH equations.

Use the first equation to substitute 4x - 1 for y in the second equation:

12x = 3(4x - 1)+7
12x = 12x - 3 + 7
12x = 12x +4
0 = 4

The last equation is FALSE, indicating the system of two equations has no solution.

The average grade mark received on 4 tests was 94. if he drops his lowest grade of 85, what will his new average be

Answers

After dropping his lowest marks of 85 the new average test mark is 97.

Given, average test score of 4 tests is 94.

Average concept:

Average = sum of all the observations / total number of observations.

Average of 4 test marks = 94

94 = Sum of all the marks obtained in 4 tests / 4

Sum of all the marks obtained in 4 tests = 94 × 4

Sum of all the marks obtained in 4 tests = 376

Now the lowest marks of 85 are removed,

Remaining sum of 3 test marks = 376 - 85

Remaining sum of 3 test marks = 291

New average of 3 tests:

Average of 3 test marks = 291/3

Average of 3 test marks = 97

Know more about average,

https://brainly.com/question/2426692

#SPJ5

What value should go in the empty box to complete the calculation for finding the product of 62.834 × 0.45?

Answers

I assume your empty box is the product lol:)

So the product is: 28.2753. No tricks, better to use calculator, but you can do by hand too, not that hard.

28.2753 its the answer just use google calculator it's easy to use

A normal curve is ___________ about the mean. consequently, 50% of the total area under a normal distribution curve lies on the left side of the mean, and 50% lies on the right side of the mean.

Answers

In statistics, when you gather data points for the same test, you construct a distribution graph. For example, you make a statistics based on the score of a class for a 145-item test. You graph it based on frequency such as, 10 students got 50 points and so and so forth. When that test have a few outliers and have more or less the same score, you form a normal distribution graph. It is more commonly known as the Gaussian Bell Curve. An example would be shown in the picture.

A normal distribution curve is symmetric about the mean. As a result, the area under the curve on the left side of the mean would be equal to the area under the curve on the right side of the mean. So, each would constitute 50%.

In the diagram below, line segment bc is an altitude of triangle abd. What is the length of line age meant cd? If necessary, round your answer to two decimal places, PLEASE HELP ME IM REALLY STUCK

Answers

check the picture below.

running a perpendicular line like so from the right-angle, makes three similar triangles, the large, containing the smaller ones, and a medium and a small one. Now, using proportions, you can just use there, the medium and smalle to get "x".

In an experiment, a petri dish with a colony of bacteria is exposed to cold temperatures and then warmed again.

Find a quadratic model for the data in the table. Type your answer below. Show your work.

Answers

You have to solve 3 equations pretty much simultaneously here using the x and y values in the general form of the quadratic equation [tex]y=a x^{2} +bx+c[/tex]
Start with the first values of x=0 and y=5.1 to solve for c:
[tex]5.1=a(0) ^{2} +b(0)+c[/tex] so c = 5.1
Next use the second x and y values along with the value of c in the next equation:
[tex]3.03=a(1) ^{2} +b(1)+5.1[/tex] gives you
-2.07 = a + b. Solve this for a:
a = -2.07 - b
Finally use the third set of numbers with the c value AND the subbed value for a:
[tex]1.17=a(3) ^{2} +b(3)+5.1[/tex]
1.17 = 9(-2.07 - b)+ 3b + 5.1 which simplifies to:
1.17 = -18.63 - 9b + 3b + 5.1 which further simplifies to:
14.7 = -6b and b = -2.45
Now you have c and b, let's find a using one of the simplified equations:
-2.07 = a + b
-2.07 = a - 2.45
a = .38
So here's your equation:
[tex]y=.38 x^{2} -2.45x+5.1[/tex]

a lab researcher wants to find out whether mice will run through a maze quicker during the day or at night, after training. Describe what is being measured in this experiment and what variable is being manipulated?

Answers

The goal of any experiment is to test the hypothesis by adjusting the independent variables so you can see the trend of the dependent variable that you want to investigate. The independent variables are parameters that you manipulate. In this experiment, that would be the time of day. You have two independent variables: night and day. The speed of the mice is the parameter that you will measure. Once you do these set-up, you can conclude in the end the effect of the time of day on the speed of the mice.

A roller coaster climbs 84 feet on the first hill then drop 60 feet down. on the second hill the roller coaster climb another 32 feet then drops 44 feet. what is te height at the end of the second hill ?

Answers

84 - 60 = 24
24 + 32 = 56
56 - 44 = 12

The answer is 12.

Answer:

12 feet.

Step-by-step explanation:

A roller coaster climbs the height on first hill = 84 feet.

Then drops down = 60 feet.

Height gained by the roller coaster = 84 - 60

= 24 feet

On other hill roller coaster climbs = 32 feet

Height gained by the roller coaster = 24 + 32 = 56 feet.

It drops again to the height = 44 feet

So the final height at the second hill = 56 - 44

= 12 feet

Therefore, height of roller coaster on the second hill is 12 feet.

In a large bag of marbles, 30% of them are red. a child chooses 4 marbles from this bag. if the child chooses the marbles at random, what is the chance that the child gets exactly three red marbles? 0.0756 0.1764 0.2646 0.0810

Answers

Use the binomial distribution with n = 4, p = 0.3, q = 0.7 , formula

P[k] = nCk * p^k *q^(n-k)

P[3] = 4c3 * 0.3^3 * 0.7 = 0.0756

Other Questions

A citys population, P (in thousands), can be modeled by the equation P = 130( 1.03)^x where x is the number of years after January 1, 2000. For what value of x does the model predict that the population of the city will be approximately 170,000? Why is the development of agriculture called a revolution What effect does adding a constant have on a exponential function? By how much does a^3 - 2a exceed a^2 + a - 6? 20 PTS!!!Each month, Matthew gets a $25 allowance and earns $100 mowing lawns. He uses the expression 25x + 100y to keep track of his earnings. Part A: Identify the variables and coefficients in the expression. (3 points) Part B: How many terms are in the expression, what are they, and how do you know? (4 points) Part C: Which term in the expression shows the total earned from mowing lawns? (3 points) Which image best shows the wall in ad 400 When a person is suffering with parkinson's disease, one of the symptoms exhibited is difficulty walking. what medical term is defined by this symptom? Tomas increased his consumption of potato chips when the price of pistachios increased. for tomas, potato chips and pistachios are What is the name of the compound with the chemical formula v(clo3)3? spelling counts, but capitalization and spaces do not? Which of the following can best help you in a risky situation?A. stay close to the quieter kidsB. have an excuse ready so you can leaveC. hang around but dont participate D. participate only a little to stay safe The cartesian coordinate system is also referred to as a(n) _____________ coordinate system. Hormones secreted by the adrenal cortex that help to maintain glucose levels in the blood are called: Janelle was trying to find the distance between (3,7) and (9,6) in the coordinate plane. She knew the formula was D=(9 - 3)^2 + (6 - 7)^2. So she took the square root and got (9-3)+(6-7)=5. Did she get the correct answer? Explain. What are issues to consider when deciding to build software in-house or purchase commercial off-the-shelf software (cots)? David wants to buy a game system and his favorite game.The game costs $25 and is 1/5 of the price of the game system.How much does the game system cost? The probability of drawing a blue card is 5/11 what is the probability of NOT drawing a blue card? What is the simplified form of 2160x^8/60x^2 staircase of steps in a swimming pool has a vertical rise of 14 inches per step and a landing of 20 inches. Terry has recently been diagnosed with an inherited form of depression. which of the flowing is the most likely cause for the depression? In the figure, the horizontal lines are parallel and AB = BC = CD. If LM = 3 Find JM? A. 12 B. 6 C. 3 D. 9 Steam Workshop Downloader