Priya is given the following Prime Factorisations: 45=3 x 3 x 5 and 105 = 3 x 5 x 7
She uses this information as follows:
The HCF of 45 and 105 is 15 and the LCM of 45 and 105 is 105.
Priya is wrong. What mistake has she made?

Answer:

in -7y y is variable and -7 is Constant

Step-by-step explanation:

Constant: A number that cannot change its value. In the expression 2x+4y−9 , the term 9 is a constant. Like Terms: Terms that contain the same variables such as 2m , 6m or 3xy and 7xy

variable is a symbol which functions as a placeholder for varying expression or quantities, and is often used to represent an arbitrary element of a set.

Answer:

(- 1, 1 ) and (2, 4 )

Step-by-step explanation:

Given the 2 equations

y = x + 2 → (1)

y = x² → (2)

Substitute y = x² into (1)

x² = x + 2 ( subtract x + 2 from both sides )

x² - x - 2 = 0 ← in standard form

(x - 2)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x + 1 = 0 ⇒ x = - 1

Substitute these values into (1) for corresponding values of y

x = 2 → y = 2 + 2 = 4 ⇒ (2, 4 )

x = - 1 → y = - 1 + 2 = 1 ⇒ (- 1, 1 )

Answer:

25

Step-by-step explanation:

Answer:

rrrrrrrrrrrrrrrrrrrrrwwwwwwwwwwwwwwwwww44444444444444wwwwwwwwwwwwww

Step-by-step explanation:

you are easydsssssdfewatg3

Answer:

a. y = 3 × (x + 2)(x - 8)

b.  y = 3·(x - 3)² - 75

c) y =  3·x² - 18·x - 48

Step-by-step explanation:

The x-intercept of the quadratic equation are (-2, 0), (8, 0)

The stretch of the quadratic equation = 3

We have;

a. The factored form y = 3 × (x + 2)(x - 8)

b. From the vertex form, we have;

y = 3 × (x + 2)(x - 8) = 3·x² - 18·x - 48

y = 3·x² - 18·x - 48

The vertex form a(x - h)² + k

Where;

h = -b/(2·a) = 18/6 = 3

h = 3

k = c - b²/(4·a) = -48 - (18²)/12 = -75

The vertex form 3·(x - 3)² - 75

c) The standard form of the quadratic equation, y = a·x² + b·x + c

The standard form of the quadratic equation is y =  3·x² - 18·x - 48.

Answer:

D

Step-by-step explanation:

Its D because If one was going 60 and then the second one went 150 on the same road. They both had to start off low and the lowest number closer to those to are 30.

Answer:

Step-by-step explanation:

y + 5 = -4/3(x - 3)

y + 5 = -4/3x + 1

y = -4/3x - 4

Answer:

8x

Step-by-step explanation:

it's the slope

y = 8x or y = 8/1x

Do not place /1.

The system understands that there is a invisible 1 that's how all whole number can turn into equations.

Answer:

The slope is 0 because it is a straight line

Step-by-step explanation:

Answer:

undefined.

Step-by-step explanation:

You could be really formal and use the slope formula

The y values are both the same -- 4.

The x values are 3.5 and 6.5

Therefore  the slope is (6.5 - 3.5) / (4  -  4)

The denominator is 0

The slope is undefined because 3/0 is not very well behaved.

A horizontal line always gives an undefined amount.

Answer:

the number is 22

Step-by-step explanation:

let the number be x

-5(x-17) = -25

-5x + 85 = - 25

-5x = - 25 - 85

-5x = - 110

x = - 110 ÷ - 5

x = 22

Check answer

- 5 × ( 22) + 85

- 110 + 85

- 25

Answer and explanation:

Surface area of a rectangle = length * width

Surface area of a square = a² where a is length of a side

To find total surface area of the the five pieces of paper, we add up all the areas of all the shapes

Given that length of rectangle =3.5

And width = 2

Area of rectangle =3.5*2=7

Area of 3 rectangles given they are all equal = 7*3=21

Since width of rectangle equal to width of square and all sides of square are equal

Area of square = 2 *2 =4

Area of the two squares =4*2=8

Total surface area of the five plane shapes = 21+8= 29

Answer:

The answer would be 12, I am very sure. :)

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Straight lines.

Since there are more than one lines that can land plane safely, we take one of it,

When, X = 10 and Y = 7, so the equation we get as,

y-7 = m(x-10) + c

lets find slope, that is value of m,

y2-y1/x2-x1 = m

so, 9-7/ 7-10 = 2/-3

so, m= -2/3

so the final Equation is,

=> y-7 =(-2/3)(x-10) +c

Answer:

The jazz band visited 124 cities and the rock band visited 53 cities. The solution is viable.

Step-by-step explanation:

Answer:

The jazz band visited 124 cities and the rock band visited 53 cities. The solution is nonviable.

Step-by-step explanation:

Answer:

c i think your answer is c

Step-by-step explanation:

Answer: 70

Step-by-step explanation:

a^2 + b^2 = c^2

24^2 + b^2 = 74^2

576 + b^2 = 5,476

-576             -576

b^2             =4,900

(square root)

b                 =70

Answer:

pqoejbbbsvbhxncbqbqheeirowoqpnabzvxjsmqkw

Answer:

it is 4.25

Step-by-step explanation:

divide 120 by 24 and you will get 4.25

Answer:

ayy

Step-by-step explanation:

sup

Answer:

12 4/5

Step-by-step explanation:

you can use just mark x as half of the leg of the trapezoid and then use pythagorean theorem to get x^2+8^2+10^2+8^2=(10+x)^2 and then solve

Answer:

plz mark brainliest

Step-by-step explanation:

16/3 or 5 1/3

Answer:

[tex]u=\frac{16}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define

[tex]\frac{7}{6} =\frac{u+4}{8}[/tex]

Step 2: Solve for u

Step 3: Check

Plug in u into the original equation to verify it's a solution.

Here we see that 7/6 does indeed equal 7/6.

∴ [tex]u=\frac{16}{3}[/tex] is a solution of the equation.

Answer:

(14,3)

Step-by-step explanation:

2x + y = 19

x - y = 11

-2(x - y) = -2(11)

-2x + 2y = -22

-2x + 2y = -22 + 2x + y = 19

3y = -3

y = 3

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

x - y = 11

x - 3 = 11

x = 11 + 3

x = 14

Answer:

a) D b)B

Step-by-step explanation:

a) the graph is of negative slope as it slants downwards hence slop/gradient is negative. y intercept is positive so only option d is right

b) sub each option point into 3y = 2x - 1 if they equate to be the same, it is correct.

3(2) = 2(6) - 1

6 = 11 (not equal)

3(1) = 2(2) - 1

3 = 3 (equal) this is the answer

of course you can sub in the rest to confirm but I'm lazy so yeah I'll stop here

Topic: Linear Graphs and its equations

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Answer:

The vertical line test can be used to determine whether a graph represents a function. A vertical line includes all points with a particular x value. The y value of a point where a vertical line intersects a graph represents an output for that input x value.

Answer:

they make $19 dollars in profit per sweater

Step-by-step explanation

154/11 is 14. This means that they paid $14 dollars per sweater.

363/11 is 33, meaning that they sold each sweater for $33.

$33 - $14 is $19, thus they made $19 dollars per sweater.

(I could be wrong, though. I tend to make dumb and simple mistakes of simple math, lol)

Answer:

19

Step-by-step explanation:

First Find the difference of the two amounts.

Profit = Sale - Cost

Profit = 363 - 154

Gross Profit = 209

Each sweater sold brings in a profit of 209 / 11  = 19 dollars

Answer:

0

Step-by-step explanation:

-4(-3 + 5 + (-2))

-4(-3 + 5 -2)

-4 • 0

0

Answer:

= 0

Step-by-step explanation:

-4(-3 + 5 +(-2 ))

get rid of the "( )"

-4 (- 3 + 5 - 2)

calculate the sum

-4 x 0

anything times 0 = 0 so the answer is;

0

Answer:

25 times

Step-by-step explanation:

If the magazine(we are assuming it's a magazine as we are not told) publishes 5 out of 12 issues of a photo of main dish each year then out of every 12 issues each year it only publishes 5 photos of main dish

The proportion is therefore 5/12

In five years there will be 12*5=60 issues of a photo of a main dish and 5*5=25 published photos of a main dish.

Therefore a photo of a main dish will be on the cover 25 times out of 60 issues in five years

To check if we are correct, we check the proportion to see if it still evaluates to 5/12

25/60= 5/12 when reduced to lowest terms