What is the least common multiple of x^2-16 and
x^2+4x-32?

What Is The Least Common Multiple Of X^2-16 Andx^2+4x-32?

Answers

Answer 1

The least common multiple is the smallest expression that can be divided by both of the given expressions.

x^2 - 16 = (x - 4)(x + 4)

x^2 + 4x - 32 = (x + 8)(x - 4)

Both of the factored versions of the expressions have an (x - 4) in them. Thus, that will automatically be included in the LCM. Next, we have to include the (x + 4) and the (x + 8) in our LCM.

LCM = (x - 4)(x + 4)(x + 8)

Hope this helps! :)

Answer 2

Answer:

(x - 4)(x + 4)(x + 8)

Step-by-step explanation:

Factorize the given expressions:

x² - 16 = x² - 4² = (x - 4)(x + 4)x² + 4x - 32 = x² + 8x - 4x - 32 = x(x + 8) - 4(x + 8) = (x - 4)(x + 8)

The LCM is the product of all unique  factors of both expressions:

(x - 4)(x + 4)(x + 8)

Related Questions

Help help math math

Answers

Answer:

y = 1/2x + 3

Step-by-step explanation:

Y= mx+b is slope-intercept form, m is for slope, and b is for my y-intercept. Also remember the pitch is the rise over the run or the y-direction over the x-direction.

In our case, they highlight 2 points to calculate the slope; looking at the graph, we can see it rises one and runs two to get to the second highlighted point at (2,4). And my slope is rise over run, so here it 1/2.

My b or y-intercept is simply three because that is where the line passes over or intercepts the Y-axis

Answer: y = 1/2 x + 3

Step-by-step explanation:

Graph the line that has a slope of 4/3 and contains the point (0,-4)?
Please I need help fast

Answers

Answer:

It's attached

Step-by-step explanation:

y=4/3x-4

is the equation for the line

So you just plot the line.

The equation for the given slope and point is y = 4x/3 - 4

What is slope?

The slope of a line is a number that describes both the direction and the steepness of the line.

Given that, a line that has a slope of 4/3 and contains the point (0,-4)

The slope intercept of a line is y = mx+c, where m is slope,

Here, m = 4/3, x = 0 and y = -4

Finding for c,

-4 = 4/3x0+c

c = -4

Establishing the equation,

y = 4x/3-4

Now plotting the graph,

(Attached)

Hence, the graph will pass through the points (3,0) and (0,-4)

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The constraints of a problem are listed below. What are the vertices of the feasible region?
x+3y<=6
4x+6y>=9
x>=0
y>=0

Answers

The vertices of the feasible region of the constraints is (0,2.5)

How to determine the vertices?

The constraints are given as:

x + 3y ≤ 6

4x + 6y ≥ 9

x ≥ 0,  y ≥ 0

Express the inequalities as equations

x + 3y = 6

4x + 6y = 9

Make x the subject in x + 3y = 6

x = 6 - 3y

Substitute x = 6 - 3y in 4x + 6y = 9

4(6 - 3y) + 6y = 9

Expand

24 - 12y + 6y = 9

Evaluate the like terms

-6y = -15

Divide by 6

y = 2.5

Substitute y = 2.5 in x = 6 - 3y

x = 6 - 3 * 2.5

Evaluate

x = -1.5

So, we have:

(x,y) = (-1.5, 2.5)

Recall that: x ≥ 0,  y ≥ 0

This means that the feasible region must have positive coordinates or zero

So, we set x = 0

(x,y) = (0, 2.5)

Hence, the vertices of the feasible region of the constraints is (0,2.5)

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Can somebody please help me with this true or false algebra 1 question?

A relation that pairs each input with exactly one output is a function.

True or False​

Answers

I'll help.

The answer to your question is True!!

25% of Santa's 9 reindeer were playing reindeer games. How many of Santa's reindeer were NOT playing reindeer
games?

Answers

Answer:

75%, or 7

Step-by-step explanation:

100-25=75

75% of 9 is 6.75 (because 9x0.75)

so we can round to 7, unless there's a decapitated reindeer involved

Answer: 6.75

Step-by-step explanation:

for this math problem we need to find the percentage and subtract that from the original number ( 9 ) . . .

what is 25% if 9 ? 2.25

what is 9 - 2.25 ? 6.75

How do you find the slope of a line given any 2 points on the line

Answers

Answer:

rise over run

Step-by-step explanation:

you look at the distance between the 2 points by looking at how many points its goes up or down, and you look at how points it goes from the left to the right or vice versa. but if you don't have a graph to look at, you will want to use the slope formula. look up the slope formula and plug it in.

Answer:

Step-by-step explanation:

From the point one on the graph, you go up (rise) making loops each time you go up (shown in red) then, once you've reached the same hight of point two, you go over (run), making loops once again (shown in blue). Then, you take the rise and put it over the run, so in the image attached it would be 4/3.

Find the equation of a line that passes through the points (1,-2) and (3,-4). Express your final answer in slope-intercept form.

Answers

[tex]\text{Given that,}\\\\(x_1,y_1) = (1,-2)~~ \text{and}~~ (x_2,y_2) = (3,-4)\\\\\text{Slope,}~ m= \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-4+2}{3-1} = -\dfrac 22 = -1\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y +2 = -1(x-1)\\\\\implies y = -x+1 -2\\\\\implies y = -x-1\\\\\text{This is the slope-intercept form(y =mx+b).}[/tex]

Answer:

y=-x-1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-4-(-2))/(3-1)

m=(-4+2)/2

m=-2/2

m=-1

y-y1=m(x-x1)

y-(-2)=-1(x-1)

y+2=-x+1

y=-x+1-2

y=-x-1

Please help
4³−4÷2x5

Answers

Answer:

its 54

Step-by-step explanation:

Answer:

the answer is 6

Step-by-step explanation:

4 to the 3 power is 64

64-4=60

2x5=10

60/10=6

in the given figure ,o is the centr of the circle, ab is the diameter and do is perpendicular to ab. prove that angle AEC= ANGLE ODA​

Answers

The given triangles ΔDOA and ΔABC are right triangles that have a

common vertex at point A.

ΔDOA is similar to ΔABC, and ∠AEC is equal to ∠ABC, therefore, ∠AEC = ∠ODA

Reasons:

The given parameters are;

The diameter of the circle with center O = AB

DO ⊥ AB (DO is perpendicular to AB)

Required:

Prove that ∠AEC = ∠ODA

A two column proof is presented as follows;

Statement [tex]{}[/tex]                                                 Reason

1. AB is the diameter of circle     [tex]{}[/tex]                 1. Given

2. DO is perpendicular to AB [tex]{}[/tex]                     2. Given

3. ∠DOA = 90° [tex]{}[/tex]                                             3. Definition of DO ⊥ AB

4. ∠BCA = 90°   [tex]{}[/tex]                                             4. Thales theorem

5. ∠BCA ≅ ∠BCA [tex]{}[/tex]                                         5. Reflexive property

6. ΔDOA ~ ΔABC   [tex]{}[/tex]                                        6. AA similarity postulate

7. ∠ABC ≅ ∠ODA   [tex]{}[/tex]                                       7. CASTC

8. ∠ABC = ∠ODA   [tex]{}[/tex]                                        8. Definition of congruency

9. ∠AEC ≅ ∠ABC   [tex]{}[/tex]                                        9. Angles in the same segment

10. ∠AEC = ∠ABC   [tex]{}[/tex]                                       10. Definition of congruency

11. ∠AEC = ∠ODA   [tex]{}[/tex]                                        11. Transitive property of equality

In statement 6, ΔDOA is similar to ΔABC by Angle-Angle, AA, similarity

postulate, therefore, the three angles of ΔDOA are congruent to the three

angles of ΔABC.

Therefore ∠ABC ≅ ∠ODA by Corresponding Angles of Similar Triangles

are Congruent, CASTC.

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16,40 and 56 LCM
Solve this problem

Answers

Answer:

LCM = 2^4 x 5^1 x 7^1 = 560

Step-by-step explanation:

I hope this helps you !!
Answer:

I hope this helps you ✌️✌️

Identify the explicit formula for the sequence given by the following recursive formula:
(see picture below)

A) f(n) = 2 – 4(n – 1)
B) f(n) = –4 + 2(n – 1)
C) f(n) = 4 – 2(n – 1)
D) f(n) = –2 + 4(n – 1)

Answers

If f(n) = f(n - 1) + 4, then

f(n - 1) = f(n - 2) + 4

and substituting this into the first equation gives

f(n) = f(n - 2) + 2•4

Similarly,

f(n - 2) = f(n - 3) + 4

so that

f(n) = f(n - 3) + 3•4

and so on.

Note the pattern:

f(n) = f(n - k) + k•4

so that when k = n - 1, we have

f(n) = f(n - (n - 1)) + (n - 1)•4

or

f(n) = f(1) + 4 (n - 1)

so that

[D] f(n) = -2 + 4 (n - 1)

Pedro had $14.90 in his wallet. He spent $1.25 on a drink. How much does he have left?
(a) Estimate the answer by rounding to the nearest whole numbers before subtracting.
(b) Find the difference. Show your work (steps).
(c) Check your answer. Is it reasonable? How do you know? Explain.

Answers

Pedro has $13.65 in his wallet left.

How to find money in Pedro's wallet?

Pedro had $14.90 in his wallet.

He spent $1.25 on a drink.

How much does he have left: 14+90 - 1.25 = 13.65

Pedro has $13.65 in his wallet left.

The difference is $1.95.

Problem solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.

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What is the quotient? -4/5 ÷ 2​

Answers

-2/5. because -4/5 times 1/2 is -2/5
The answer for the problem is -0.4

HELP ASAP! TYSM IF U DO, WILL GIVE BRAINILEST!

Answers

its d becuase i used math-way

Step-by-step explanation:

b

=

4

Answer:

Option D

Step-by-step explanation:

Given equation:

b - 12 = - 8

Add 12 to both sides:

b - 12 + 12 = - 8 + 12b = 4

Correct graph is D, where point 4 is marked

Choose the function that the graph represents.
Click on the correct answer.

Answers

Answer:

y=log_2 (x)

Step-by-step explanation:

We see that the graph passes though the point (2,1). So we can write:

log_a (2) = 1  => a = 2

So it's a log in base 2.

movie theater charges $9 for adults and $7 for senior citizens. On a day when 325 people paid an admission, the total receipts were $2504. How many were seniors and how many were adults?

Answers

I will set it up.

Let a = adults

Let s = seniors

The first equation is a + s = 325.

The second equation is 9a + 7s = 2504.

Here is your system of equations:

{a + s = 325

{9a + 7s = 2504

Take it from here.

Resuelve la siguiente ecuación lineal: 13-4(5x+1)=3(7-5x)-15

Answers

.........................

Sue has 100 dimes and quarters. If the total value of the coins is &21.40, how many of each kind of coin does she have?

Answers

Answer:

Let x be the number of dimes and y the number of quarters

x +y = 100

a dime is $0.10 and a quarter is $0.25

0.1x + 0.25y = 21.40 multiply by 100 to remove the decimals

10x + 25y = 2140, From the first equation y = 100 - x and plug it in to the second equation.

10x + 25(100 -x) = 2140

10x + 2500 - 25x =2140

2500 - 15x = 2140

360 = 15x x = 24 and y = 76

There are 24 dimes and 76 quarters

Answer:

76 Quarters = $19.00

24 Dimes = $2.40

$19.00 + $2.40 = $21.40

Step-by-step explanation:

Yaga


5cm
10cm
Q
Q2
Q3
Referring to the diagram above.
if Q1 = 9.0 uC, Q2 = -5.0 uC and Q3 = 32.0 uc,
what is the magnitude of the electric field at Q2, due to Q1 and Q3?

Answers

Answer:
I’m pretty sure it 15cm
Step by step

2m>30
what is the answer to this

Answers

Answer:

m>15

Step-by-step explanation:

Divide both sides by 2

Hello there! :-)

This is a one-step inequality, which means we can solve it in one step.

The goal is to find m.

To isolate m, we divide both sides by 2:

m>15

Remember to divide both sides by 2.

Therefore, m>15 (this means m is greater than 15)

Hope it helps. Use the comment section to clarify your doubts.

Answered by

~A felicitous teen who helps others :-)

Good luck with your studies. :)

Please answer. I will give brainliest to the best answer

Answers

Answer:

b

Step-by-step explanation:

took the test a bit ago

Stacy is selling tickets to the school play. The tickets are $7 for adults and $4 for children she sells twice as many adult tickets as children’s tickets and brings in a total of $270. How many of each kind of ticket did she sell?

Answers

Stacy sold 15 children tickets and 30 adult tickets.

The tickets are $7 for adults and $4 for children.

She sells twice as many adult tickets as children tickets and bring in a total of $270.

Therefore,

let

number of children ticket sold = x

number of adult ticket sold = 2x

7(2x) + 4(x) = 270

14x + 4x = 270

18x = 270

x = 270 / 18

x = 15

The number of children ticket sold = 15

The number of adult ticket sold = 15 × 2 = 30

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Find the following:

sin A
cos A
tan A
cot A
sec A
csc A

Answers

Step-by-step explanation:

we use the law of sine :

sin(A)/a = sin(B)/b = sin(C)/c

with the related angles being opposite of the lines.

so, we have

sin(A)/1 = sin(A) = sin(90)/ sqrt(10) = 1/ sqrt(10) =

= 0.316227766...

cos²(A) + sin²(A) = 1

cos(A) = sqrt(1 - sin²(A)) = sqrt(1 - 0.1)) = sqrt(0.9) =

= 0.948683298...

tan(A) = sin(A)/cos(A) = 0.333333333...

cot(A) = 1/tan(A) = 3

sec(A) = 1/cos(A) = 1.054092553...

csc(A) = 1/sin(A) = 3.16227766...

jorden claims that x^2+3=12 is exponential equation. is jorden correct

Answers

No.
Exponential functions take the form y = a^x

The function given is a quadratic function, as the highest exponent of x is 2

(15 points) Critique Reasoning Jamie says that the
expressions 6x - 2x + 4 and 4(x + 1) are not
equivalent because one expression has a term
that is subtracted and the other does not. Do
you agree? Explain.
a

Answers

Answer:

they are the same

Step-by-step explanation:

6x - 2x + 4 ← collect like terms

= 4x + 4

and

4(x + 1) ← distribute parenthesis by 4

= 4x + 4

The 2 expressions are equivalent to 4x + 4

Answer:

No, Jamie is incorrect

Step-by-step explanation:

No, because in the expression 4(x+1)  you will first need to multiply 4 by x, your result is 4x, and then you multiply 4 by 1, you get 4, so the answer will be 4x+4.

Also in the expression 6x-2x+4  ,you will first need to subtract 2x from  6x, your result is 4x ,and then you add 4 , so the answer will be 4x + 4

Our final answer is:

6x-2x+4 = 4x + 4 and 4(x+1) = 4x + 4

3 peaches cost $0.99. At this rate, how much will 5 peaches cost?

Answers

0.99 /3 = 0.33 per peach

0.33 per peach x 5 peaches = 1.65 total

Answer: $1.65

Answer:

1.65

Step-by-step explanation:

need this soon please

Answers

Answer: pretty sure -7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

(-80) - (-10) is -79

-70 / (+10) = -7

Helpppp pleaseeee ????

Answers

Answer:

LQ = 54

Median = 69

UQ = 94

Step-by-step explanation:

This list is already sorted for you, so you don't need to worry about that, otherwise you would need to sort the numbers in ascending order. To find the median, we do [tex]\frac{n+1}{2}[/tex], where n is the amount of numbers. This gives us 4, so the median is at position 4, so the median is 69. The lower quartile is simply [tex]\frac{n+1}{4}[/tex], so 2, so the lower quartile is 54. The upper quartile is [tex]\frac{n+1}{2} X 3[/tex], so 6, so the upper quartile is 94.

Find the value of x in the figure.

Answers

It’s also 64 because the angles are congruent

x = 64

since , it is vertically opposite

A cafeteria sells 30 drinks every 15 minutes. How many drinks can be sold in one hour?

Answers

Answer:30 drinks

Step-by-step explanation:

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