Least common multiple of 5y^2-45 and y+3

Answers

Answer 1

The common multiple of 5y²- 45 and y + 3 is (y + 3).

What is meant by common multiple?

For any two or more expressions, if any one of their factors is common in all of them, then that factor is said to be the common multiple of those expressions.

Calculation:

The given expressions are 5y²- 45 and y + 3

On factorizing them, we get

5y²- 45 = 5(y² - 9)

⇒ 5(y² - 3²)

From he binomial formula a² - b² = (a + b)(a - b), we can write

5y²- 45 = 5(y + 3)(y - 3)

Now, the second expression has no further simplification. The expression is itself a factor for it.

So, we can write their factors as

5y²- 45 = 5 × (y + 3) × (y - 3)

y - 3 = 1 × (y - 3)

From this, (y - 3) is the only factor that is a common factor for both the expression.

So, (y - 3) is the common multiple for the given expressions.

Learn more abou the common multiple here:

https://brainly.com/question/29371661

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Related Questions

Can y’all please help me

Answers

Answer:

its 3

Step-by-step explanation:

Jean can pack 5 cartons in 15 minutes. Which expression can be used to show the number of cartons Jean can pack in x hours? Group of answer choices

Answers

Answer: 20x

Step-by-step explanation:

First we should note that 60 minutes = 1 hour. Therefore, 15 minutes = 15/60 = 1/4 hour

Since Jean can pack 5 cartons in 1/4 hours, the number of carton that he can pack in one hour will be:

= 5 ÷ 1/4

= 5 × 4

= 20 cartons.

Therefore, to get the number of cartons that Jean can pack in x hours, we will multiply 20 by x. This will be:

= 20 × x

= 20x

Which is the most accurate away to estimate 48% of 21?

A: 1/2 x 22
B: 1/4 x 22
C: 1/2 x 20
D: 1/4 x 20

Answers

A- because 48% is close to 50% which is 1/2

What is the probability the spinner will land on pink or an even number?

Answers

Answer:

Step-by-step explanation:

he probability of the spinner landing on an even number  is 1/6.

Give me the answers for these and i’ll paypal you 5$

Answers

Answer:

Its 27

Step-by-step explanation:

Trust me i am Albert Einstein  and I dont need Paypal Money.

1/2 plus 1/8 equals.

Answers

Answer:

5/8

Step-by-step explanation:

hiii

5/8 you’re welcomeee

Mr. Jackson has just finished building his treehouse and still needs to buy a ladder to be attached to the ledge of the treehouse and anchored at a point on the ground, as modeled below. Mr. Jackson is standing 1.3 meters from the stilt supporting the treehouse. This is the point on the ground where he has decided to anchor the ladder. The angle of elevation from his eye level to the bottom of the treehouse is 56 degrees. Mr. Jackson's eye level is 1.5 meters above the ground. Determine and state the minimum length of a ladder, to the nearest tenth of a meter, that Mr. Jackson will need to buy for his treehouse. (do not round until the very end)

Answers

Answer:

The length of the ladder Mr. Jackson will need to buy for his treehouse is approximately 3.7 meters

Step-by-step explanation:

The parameters given in the question are;

The horizontal distance from the point Mr. Jackson has decided to anchor the ladder to the the stilt supporting the tree house = 1.3 meters

The angle of elevation from Mr. Jackson's eye level to the bottom of the treehouse = 56°

The height of Mr. Jackson's eye level from the ground = 1.5 meters

From the question, we can draw the geometry of the ladder attached to the treehouse using Microsoft Visio as shown in the attached diagram

From the diagram, by trigonometric ratios, we have;

tan(56°) = a/1.3

∴ a = 1.3 × tan(56°) ≈ 1.927

By Pythagoras' theorem, we have;

The length of the ladder = √((a + b)² + 1.3²)

From the drawing, b = 1.5 m

Therefore, we have

The length of the ladder = √((1.927 + 1.5)² + 1.3²) ≈ 3.6653

The length of the ladder without rounding = √((1.3 × tan(56°)  + 1.5)² + 1.3²) = 3.66559488352

∴ The length of the ladder given to the nearest tenth of a meter ≈ 3.7 m

The length of the ladder Mr. Jackson will need to buy for his treehouse ≈ 3.7 m.

GUYSSS PLS IM RUNNING OUT OF TIME ANY HELPPPP

Answers

Answer:

Welp, good luck the answer is c

Step-by-step explanation:

good luck but i don’t know the answer

Liz flips a coin 50 times. The coin lands heads up 15 times and tails up 35 times. Complete each
statement.
The theoretical probability of the coin landing heads up is %.
Type an integer or a decimal.

Answers

Answer:

Theoretical Probability: 30%

Integer/decimal: 0.30

Step-by-step explanation:

What is the perimeter of woods in feet

Answers

Answer:

what are the side lengths/ measurements of the forest?

Step-by-step explanation:

ill edit the answer once i get more info

use the substitution method to solve
3x + 2y=12
y=2x -1​

Answers

Answer:

1. y=2

2. y= - 2

Step-by-step explanation:

Thats my answer hope it helps

Answer:

the solution is : (2 , 3)

Step-by-step explanation:

hello :  here is an solution

3x + 2y=12.....(*)

y=2x -1​.....(**)

put the value for y  in (*) :

3x + 2(2x-1)=12

3x+4x-2 = 12

7x =14

so : x =2

but : y=2x -1

y =2(2)-1 = 3

the solution is : (2 , 3)

Help just do number 7 please

Answers

Inches more: 19.1

Days more: 39

Step by step: 47.71 - 28.61 = 19.1

Step by step 2: 124 - 85 = 39

Answer:

asheville go 19.1 more inches of rain than wichita.

it rained 39 more days in asheville than Wichita.

Step-by-step explanation:

47.71 inches - 28.61 inches = 19.1 inches

124 days - 85 days = 39 days

Hope this helps❤

I dont know if i did this right i wanted to know if someone could check for me

Answers

Answer:

I think 5 is wrong but 1 and 4 are right

I think the answer would be 5 and the reason why is because

How do I do this problem?

Answers

Answer: calculate x e it says and it = 6

Step-by-step explanation:  hope this helps pls give me brainly

6x+
?
= 10x


6x−
?
= 2x

6x+
?
= 2x


6x−
?= 10x

6x+
?
=- 10x


6x−
?
= x

6x+
?
= 0


6x−
?
= 6

6x+
?
= 10


6x−
?
= 4x - 10

Answers

Step-by-step explanation:

6x+

?

= 10x

6x−

?

= 2x

6x+

?

= 2x

6x−

?= 10x

6x+

?

=- 10x

6x−

?

= x

6x+

?

= 0

6x−

?

= 6

6x+

?

= 10

6x−

?

= 4x - 10

6x+

?

= 10x

6x−

?

= 2x

6x+

?

= 2x

6x−

?= 10x

6x+

?

=- 10x

6x−

?

= x

6x+

?

= 0

6x−

?

= 6

6x+

?

= 10

6x−

?

= 4x - 10

If p is true and ~q is false then p -> ~q is ___ false.

Sometimes
Always
Never

PLEASE HELP ME

Answers

The conditional of q by p is "If p then q" or "p implies q" and is denoted by p q. It is false when p is true and q is false; otherwise it is true.

The area is approximately ___ square units.

Use 3.14 for π.

Answers

Answer:

A = 914 units

Step-by-step explanation:

The figure consists of a rectangle and a circle.

The sides of rectangle are 30 units and 20 units

The diameter of circle is 20 unit

Radius = 10 units

Required area = area of rectangle + area of circle

[tex]=l\times b+\pi r^2\\\\=30\times 20+3.14\times 10^2\\\\=914\ units[/tex]

So, the area of the figure is equal to 914 units.

//5. Use substitution to solve the system of equations
3x - y = 4
2x - 3y = 9
Solution: (
)

Answers

Answer: (3,5)

Step-by-step explanation:

y=3x-4

2x-3y=-9

2x-3(3x-4)=-9

2x-9x+12=-9

7x=21

x=3

y=3(3)-4

y=5

Which expression is equivalent to the series shown?
125
Σ
n=17
45n

Answers

Answer: it’s b on edg

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

2. A quadrilateral is inscribed in a circle. Find the measure of each missing angle as labeled below. Show your work and/or explain how you got your answer. Don't forget to label your answers CDE=​

Answers

Answer:

おリム。羅語尾。、、利徒歩と

ラトソオコテユタソヨ保とソトコトThe野母

Describe a real-world object that would be measured using square units and another that would be measured using cubic units. Explain.

Answers

Answer:

Volume or amount to f water in a jug

The size of a plot of land.

Step-by-step explanation:

The volume of capacity which a certain container can hold such as ; The amount water which can be filled into a cylindrical jug will be measured in cubic units as it requires the multiplication of 3 measured sides of the container ; for a cylinder, radius is squared and multiplied by height. (radius * radius * height).

The size or area of rectangular garden is measured using in square units as it only takes into consideration 2 of the measured parts of a shape.

What is the y-intercept to (-2,1) (3,-6)

Answers

Answer:

(0,-9/5)

Step-by-step explanation:

You  can use the equation y=mx+b to solve

First you have to find the slope (m)

You can do this by using the equation y2-y1=x2-x1

(-6-1)/(3--1)= -7/5

m=-7/5

You  then use the slope to find out b or the "y-intercept"

I am using the point (-2,1) to substitute

(1)=-7/5(-2)+b

-9/5=b

y=-7/5x-9/5

Check (3,-6):

(-6)=-7/5(3)-9/5

-6=-21/5- 9/5

-6=-6 true

A pet supply company makes a 5-gallon aquarium with a 10 inch by 10 inch base and a height of 14 inches. A museum wants to special-order a 135-gallon aquarium with the same shape. Find the new dimensions (length, width and height) of the new aquarium. Show or explain your work.​

Answers

New dimensions: 72 in for the length, 18 in for the width and 24 in for the height the volume in liters for these dimensions is-509.....but in gallons it’s 135

Hope this helps

how many solutions will this quadratic equation x^2+8x+16 has?

Answers

hii i think it’s 3 i’m not sure tho bestue

Answer:

one solution

Step-by-step explanation:

to find out how many solutions a quadratic equation (with the equation ax²+bx+c) will have, we need to find the discriminant, which is b²-4ac

first, we can label the coefficients as a, b, and c

a=1 (1 is in front of x²)

b=8

c=16

now substitute into the formula

D=(8)²-4(1*16)

D=64-64

D=0

the discriminant is 0

when the discriminant is 0, that means the quadratic equation only has one solution.

Hope this helps!

FINDING THE AREA OF A NONRIGHT TRIANGLE USING THE BOX METHOD.

Answers

Answer:

Step-by-step explanation:

thank you so much. thank you.

A full tub of water weighs 3 1/8 pounds. If the tub is filled up only 1/7 full how much would it weigh?

Answers

Answer:

[tex]\frac{25}{56}[/tex] pounds

Step-by-step explanation:

By using unitary method,

∵ 1 full tub of water weighs = [tex]3\frac{1}{8}[/tex] pounds

∴ [tex]\frac{1}{7}[/tex] of a water tub will weigh = [tex]3\frac{1}{8}\times \frac{1}{7}[/tex]

                                               = [tex]\frac{(24+1)}{8}\times \frac{1}{7}[/tex]

                                               = [tex]\frac{25}{56}[/tex] pounds

Therefore, water filled in [tex]\frac{1}{7}[/tex]th part of the tub will weigh [tex]\frac{25}{56}[/tex] pounds.

The weight of the tub if filled up to 1/7 full is 25/56 pounds

How to find product of fraction

Given:

Full weight of tub = 31/8 pounds

If filled halfway:

= 1/7 × 3 1/8

= 1/7 × 25/8

= (1 × 25) / (7 × 8)

= 25/56 pounds

Therefore, the weight of the tub if filled to 1/7 of the capacity is 25/56 pounds

Learn more about fraction:

https://brainly.com/question/11562149

What is the area of the figure? Please help, will give brainliest

Answers

Answer:

4

Step-by-step explanation:

What’s the answer????

Answers

Answer:

X = 9

Step-by-step explanation:

HELP ASAP
Find the percent change to the nearest whole percent.
From 45 feet to 95 feet . A. 53% decrease
B. 53% increase
C. 111% decrease
D. 111% increases

Answers

The percentage change is B. 53% increase

A circular region with a 6 mile radius has a population density of 50 people per square mile. Find the number of people that live in the region

Answers

Answer:

population = 5652 people

Step-by-step explanation:

area = πr² = (3.14)(6²) = 113.04 mi²

at 50 people/mi², then 113.04 x 50 = 5652 people

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