Find the least common multiple of x2 – 2x – 15 and x2 + 2x – 3.

(x + 3)(x – 1)(x + 5)

(x – 5)(x + 3)(x – 1)

(x – 5)(x + 1)(x + 3)

(x + 5)(x + 3)(x + 1)

Answers

Answer 1

Step-by-step explanation:

please mark me as brainlest

Find The Least Common Multiple Of X2 2x 15 And X2 + 2x 3.(x + 3)(x 1)(x + 5)(x 5)(x + 3)(x 1)(x 5)(x

Related Questions

SOMEONE PLEAASE HELP ME ASAP THIS IS DUE SOON



14. Now simplify the y-terms to get the equation of the parabolic path. You do not need to expand the x-term. (2 points) Hint: Square both sides to get rid of the square root


______________
√ (x - 7)^2 + (y - 9)^2 = (y - 4)

Answers

Answer:

Assuming a vertical axis of symmetry, the equation would be of the form y = ax^2 + bx + c which can also be written as y = a(x - h)^2 + k. Case 1: If the two points have the same y value, then the axis of symmetry will pass through the midpoint of the segment between them.

Step-by-step explanation:

An equation is formed of two equal expressions. The given equation can be simplified for y as y=(x²-14x+114)/10.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given equation √[(x-7)²+(y-9)²]=(y-4) can be simplified for y as shown below,

[tex]\sqrt{\left(x\:-\:7\right)^2\:+\:\left(y\:-\:9\right)^2}=\left(y\:-\:4\right)[/tex]

(x - 7)² + (y - 9)² = (y - 4)²

(x - 7)² = (y - 4²) - (y - 9)²

(x² + 49 - 14x) = (y² + 16 - 8y) - (y² + 81 - 18y)

x² + 49 - 14x = y² + 16 - 8y - y² - 81 + 18y

x² + 49 - 14x = 10y - 65

x² - 14x + 49 + 65 = 10y

x² - 14x + 114 = 10y

y = (x² - 14x + 114)/10

Hence, the given equation √[(x-7)²+(y-9)²]=(y-4) can be simplified for y as y=(x²-14x+114)/10.

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C
X
A parabola has a focus at ( 1.5, 0) and a directrix of x= -1.5. Which of the following equations represent the parabola?

Answers

Step-by-step explanation:

Since the focus lies on the x axis, and the diretcrtirx is a vertical line, we have a sideways parabola so we have the equation

[tex](y - k) {}^{2} = 4p(x - h)[/tex]

where h,k is the vertex and

p is the distance from the vertex to the focus or the distance fromcthe vertex to the directrix.

Since the focus is 1.5, and the directrix is -1.5 the vertex is (0,0) so we have

[tex]y {}^{2} = 4px[/tex]

We know p is 1.5 so we have

[tex] {y}^{2} = 6x[/tex]

[tex] \frac{1}{6 } {y}^{2} = x[/tex]

Convert the unit of weight. Use 1 lb = 16 oz. Express your answer in exact simplest form. 3 lb = _____ oz
3lb= ⋅ = _____oz ?

Answers

Answer:

48

Step-by-step explanation:

one pound equals 16 ounces so multiply each side by three and you get that 3 lb equals 48 ounces

Answer:

48 oz

Step-by-step explanation:

We know 1 lb = 16 oz. That means that to find how many oz are in 3 lbs, you have to multiply 16 by 3. That equals 48.

Write a function in vertex form that is translated 3 units down and 3 units to the right of f (x) = x^2
f (x) =

Answers

Answer:

f(x)= (x-3)^2-3

Step-by-step explanation:

Vertex Form: y= a(x-h)^2+k

a is the reflection

h and k are the vertex so in an ordered pair (x,y) = (h,k)

Since it is translating 3 units down it is going to be a negative 3.  If it was translating up it would be positive 3.  This represents the "k" because it is moving on the y-axis.

Since it is translating 3 units to the right it is going to be positive 3.  If it was translating left it would be negative 3. This represents the "h" because it is moving on the x-axis.

After plugging it into the vertex form formula: f(x)= (x-3)^2-3

*notice when I plugged the "h" in it became negative because x-(3)= x-3*

Find the value of x. AB=20 BC=6 CD=8​

Answers

Step-by-step explanation:

there is the rule

outside length × (outside length + inside length) is the same for all lines originating from the same point.

so, we have

CD(CD + x) = BC(BC + AB) = 6(6+20) = 6×26 = 156

8(8 + x) = 156

8 + x = 19.5

x = 11.5

Name three synonyms for "Solution": _____________,___________,______________

Answers

Answer:

1 quick fix            2 solving               3 result

Step-by-step explanation:

hope it helps

*Pls help me*
No links

Answers

Answer:

See below ↓

Step-by-step explanation:

a. 4 ÷ (2/3) = 12/3 ÷ 2/3 = 12 ÷ 2 = 6

b. 4 ÷ 1 = 4

Attachment below.

Answer:

1: 6
2:4

Step-by-step explanation:

Write an inequality for the graph shown below.
User for your variable.
X
o
?

Answers

Answer:

3 > x

Step-by-step explanation:

3 is larger than all of the values on the line, of which the arrow is pointing. The circle is open, so it means that it is not greater than or equal to.

I hope this helps!

-No one

A mother invests $7000 in a bank account at the time of her daughter's birth. The interest is 18) compounded quarterly at a rate of 8%. What will be the value of the daughter's account on her twentieth birthday, assuming no other deposits or withdrawals are made during this period?

Answers

well, from birth to your twentieth birthday that'll just be 20 years, so

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$7000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &20 \end{cases} \\\\\\ A=7000\left(1+\frac{0.08}{4}\right)^{4\cdot 20}\implies A=7000(1.02)^{80}\implies A\approx 34128.07[/tex]


Write the number in standard form
and word form.
7 x 10 + 5 x 1 + 6 x (1/100) + 2 x
(1/1,000)

Answers

Answer:

75.062

Step-by-step explanation:

just add and multiply then remember that 1/100 or 1/1000 is just 0.001 or 0.01

Reflect the given triangle over
the x-axis.
[_
3 6 31
-3 3 3.
3 [?]
13
UD
[

Answers

[3 6 3]

( 3 3. 3]

THIS ANSWER IS CORRECT

Solution:

[tex]\sf \left[\begin{array}{ccc}3&6&3\\3&-3&-3\end{array}\right][/tex]

Explanation:

[tex]\sf \left[\begin{array}{ccc}3&6&3\\-3&3&3\\\end{array}\right][/tex]

The rule for a reflection over the x -axis is (x,y) → (x,−y)

===============================================================

or multiply the matrix with:      [tex]\left[\begin{array}{ccc}1&0\\0&-1\end{array}\right][/tex]

[tex]\dashrightarrow \ \sf \begin{pmatrix}1\cdot \:3+0\cdot \left(-3\right)&1\cdot \:6+0\cdot \:3&1\cdot \:3+0\cdot \:3\\ 0\cdot \:3+\left(-1\right)\left(-3\right)&0\cdot \:6+\left(-1\right)\cdot \:3&0\cdot \:3+\left(-1\right)\cdot \:3\end{pmatrix}[/tex]

Final answer:

[tex]\sf \left[\begin{array}{ccc}3&6&3\\3&-3&-3\end{array}\right][/tex]

simplify 5/9x4 3/5x6 3/11x6/10 and 3 4/5x7 1/2

Answers

Answer:

529/55 and 57/2

Step-by-step explanation:

Antonio weighs four pounds more than twice his brother weight. If Antonio weighs 97 pounds, how much does his brother weigh? Write and solve equation.

Answers

Answer:

The bother's weight is 46.5 lb.

Step-by-step explanation:

Let the brother's weight be b.

Antonio's weight is 2b + 4.

Antonio's weight is 97 lb.

2b + 4 = 97

2b = 93

b = 46.5 lb

Answer: The bother's weight is 46.5 lb.



You randomly draw twice from this deck of cards
0 с G|F. D C G
What is the probability of not drawing a C, then not drawing a C,
without replacing the first card? Write your answer as a decimal
rounded to the nearest hundredth.

Answers

The probability of not drawing C in neither draw is P = 0.5

How to get the probability?

All the cards have the same probability of being drawn, in this case, our set of cards is {F, D, C, G}

The probability of not drawing C is equal to the probability of drawing F, D or G. So we have 3 options out of 4, then the probability is:

p = 3/4.

Now we draw another, this time there are 3 cards, one of these is C, and the other two cards are not C. Then the probability of not drawing C again is equal to 2 over 3.

q = 2/3.

The joint probability (for both of these events to happen) is equal to the product of the individual probabilities:

P = p*q = (3/4)*(2/3) = 0.5

If you want to learn more about probability, you can read:

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Some students are sharing pens among themselves. If each gets 5, no pens will be left. If each gets 3, 12 pens will be left. How many students are there?​

Answers

Answer:

6 students

Step-by-step explanation:

Let x = number of students

Let y = total number of pens

Given:

If each student gets 5 pens, no pens will be left

⇒ 5x = y

Given:

If each students gets 3, 12 pens will be left.

⇒ 3x = y - 12

Substitute  5x = y  into  3x = y - 12  and solve for x:

⇒ 3x = 5x - 12

⇒ 12 = 5x - 3x

⇒ 2x = 12

⇒ x = 6

Therefore, there are 6 students.

so urgent pls

Answers

Answer:

B

because if you were looking for time that is less than and equal to you would have to choose (c) as you answer

The graph of f(x) = 8 - x and line l which is tangent to f at x =1 is
shown in the figure to the right. The equation for line l is y =-3x +10.
Region R is the shaded region between line l, the graph off and the
y-axis while S is the shaded region between line l, the graph off and
the x-axis.
(a) Find the area of the shaded region R.

Answers

By taking the integral of the difference between the two given lines, we will see that R = 0.75.

How to find the area of the region R?

Notice that the area will be given by the integral of the difference between the line L and our function on the interval [0, 1]

Then we just need to compute:

[tex]R = \int\limits^1_0 {-3x + 10 - (8 - x^3)} \, dx[/tex]

Solving that we will get:

[tex]R = \int\limits^1_0 {-3x + 10 - (8 - x^3)} \, dx = \int\limits^1_0 ({-3x + 10 - 8 + x^3} )dx\\\\\R = \int\limits^1_0 ({-3x + 2 + x^3} )dx\\\\\\[/tex]

[tex]R = \int\limits^1_0 ({-3x + 2 + x^3} )dx\\\\R = \frac{-3}{2}*(1)^2 + 2*1 + \frac{1^4}{4} = 0.75[/tex]

So the area of region R is 0.75 square units.

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Find the sum of a finite arithmetic sequence from n=1 to n=5 using the expression -3(4)^n-1

Answers

Answer:

Step-by-step explanation:

Arithmetic sequaence:

[tex]\sf a_n = -3(4)^n - 1\\\\a_1=-3*4^1 -1\\\\ = -3*4 - 1\\\\ = -12 - 1\\\\a_1=-13[/tex]

[tex]a_2 = -3*4^2-1\\[/tex]

    = -3*16 -1

     = -48 - 1

    = -49

difference = second term - first term

                 = -49 -(-13)

                = -49 + 13

             d = -36

[tex]\boxed{S_n=\dfrac{n}{2}[2a + (n-1)d]}[/tex]

[tex]\sf S_5=\dfrac{5}{2}*[2*(-13} + 4*(-36)]\\\\ =\dfrac{5}{2}[-26-144]\\\\=\dfrac{5}{2}*(-270)[/tex]

= 5*(-135)

= -675

If AC= 8x-14 and EC = 2x + 11, solve for x.

Answers

Step-by-step explanation:

AC= 8x-14

AC+14=8x

x=(AC+14)÷8

EC=2x+11

EC-11=2x

x=(EC-11)÷2

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Can someone please help with this. I’m stuck.

Answers

Answer:

567 ghbvc. the high but

Step-by-step explanation:

solve accordingly to the picture

hope it helps

Please help me to answer this​

Answers

Answer : The statement is false for any value of because the even root function is always positive or

What is the equation for the circle with center (-9, 5) and radius 4

Answers

Answer:

[tex]\sf (x+9)^2+(y-5)^2=16[/tex]

Step-by-step explanation:

Standard equation of a circle:  [tex]\sf (x-h)^2+(y-k)^2=r^2[/tex]

(where (h, k) is the center of the circle and r is the radius)

Given:

center = (-9, 5)radius = 4

Substituting given values into the equation:

[tex]\sf \implies (x-(-9))^2+(y-5)^2=4^2[/tex]

[tex]\sf \implies (x+9)^2+(y-5)^2=16[/tex]

(h,k)=(-9,5)r=4

Equation:-

(x-h)²+(y-k)²=r^2(x-(-9))2+(y-5)^2=4^2(x+9)^2+(y-5)^2=16x^2+18x+81+y^2-10x+25=16[/tex][tex]\\ \rm\rightarrowtail x^2+y^2+8x+90=0[/tex]

solve this sum urgent no spam​

Answers

Answer:

Step-by-step explanation:

YES IS THE ANSWER BECAUSE X=9

AND 11+3=87

1st is commutative property of addition

2nd is commutative property of multiplication

Solve the equation.

−10x + 1 + 7x = 37

x = −15
x = −12
x = 12
x = 15

Answers

X=-12

-10x+1+7x=37
(-10x+7x)+1=37
-3x=37-1
-3x=36
X=36/-3
X=-12
Check
-10(-12)+1+7(-12)=37
120+1-84=37
37=37

I NEED HELP WITH MY HOMEWORK​​

Answers

Answer:

I-9I

Step-by-step explanation:

Absolute value (the straight brackets) is how far away the number is from zero, this makes -9 into positive 9

Answer:

C. |-9|

Step-by-step explanation:

|-9| = 9

9 > 7 > |5| (5) > -12

If 4–(x – 4) = 1 over 16 what is the value of x?

Answers

Answer:

4x+4=16

4x= 16–4

4x= 12

x= 12/4

x= 3

Alternatively,

4x+4=16

Taking 4 common,

4 (x+1) = 16

x+1 = 16/4

x+1 = 4

x = 4–1

x = 3

Step-by-step explanation:

The value of x is 68.

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Parts of an Equation

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation.

Given equation:

4/(x - 4) = 1 /16

Now, solving for x

4/(x - 4) = 1 /16

64 = x - 4

x= 68

Hence, the value of x is 68.

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Find all the factors of 18.
A) 2, 9
B) 1, 2, 3, 6, 9, 18
C) 1, 2, 3, 4, 6, 8, 9, 18

Answers

Answer:

B)1, 2, 3, 6, 9, 18

Step-by-step explanation:

1×18

2×9

3×6

HOPE IT HELPS YOU

The number of men and women participating in the Winter Olympic Games has been steadily increasing in recent years. In the 19th Winter Olympics, 1389 men and 787 women participated. 1660 men and 1121 women participated in the 22nd Winter Olympics.



Part A

Which system describes the number of men and women participating if x represents the number of winter games after the 22nd Winter Olympics?



Multiple choice question.

A)
y=1389x+1660y=787x+1121


B)
y=2713x+1121y=3343x+1660


C)
y=2713x+1389y=3343x+787


D)
y=2713x+1660y=3343x+1121

Answers

Using a system of equations, it is found that the correct option is:

A) 1389x+1660y=787x+1121y.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, considering the amounts in each olympics(1389 men and 787 women participated on the 19th, 1660 men and 1121 women in the 22th), the system is:

A) 1389x+1660y=787x+1121y.

More can be learned about a system of equations at https://brainly.com/question/24342899

A certain brand of laundry detergent is manufactured for $3.85 and then marked up 40% by the local store before selling. The store offers a 20% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of five bottles of detergent. (10 points)

Answers

Answer:

$21.56

Step-by-step explanation:

Original price = $3.85Marked up by 40% = 3.85 x 1.4 = $5.39 per bottle

Cost and discount of 5 bottles

Cost = 5 x 5.39 = $26.95Discount of 20% = 26.95 x 0.8 = $21.56

Answer:

$21.56

Step-by-step explanation:

Original cost of one bottle of detergent = $3.85

Cost of one bottle after 40% mark up = 1.4 × $3.85 = $5.39

Cost of 5 bottles = 5 × $5.39 = $26.95

Cost of 5 bottles after applying 20% discount = 0.8 × $26.95 = $21.56

Therefore, the total cost of 5 bottles of detergent is $21.56

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

Information about percetange increase/decrease

If you increase the price of something by 40% then it will be 140% of the original price (the original price is 100% and 100% + 40% = 140%).

Convert to decimal form:  140% = 140/100 = 1.4

Therefore, to calculate an increase of 40%, multiply the original price by 1.4

If you decrease the price of something by 20% then it will be 80% of the previous price (the original price is 100% and 100% - 20% = 80%).

Convert to decimal form:  80% = 80/100 = 0.8

Therefore, to calculate a decrease of 20%, multiply the previous price by 0.8

-5 x + 10 -20 need help with this

Answers

Answer:

-5(x+2)

Step-by-step explanation:

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