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2 years ago

Find the HCF and LCM of: x^3+27,2x^3-6x^2+18x,x^2-3x+9

Mathematics

1 answer:

r-ruslan [8.4K]2 years ago

7 0

Answer:

hcf:3x^3-6x^2+y^2-3x+54

lcm:2(x+3)(x^2-3x+9)(x^3-3x^2+9)(y^2-3x+9)

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dry cleaning bill is shown by y equals 1.50 x + 4.50 y is the total cost and x is the number of shirts graph this equation

Blizzard [7]

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

y------> the total cost

x------> the number of shirts

we know that

The linear equation is

$y=1.50x+4.50$ ------> equation of the line

To graph the line find the intercepts

The y-intercept is the value of y when the value of x is equal to zero

The x-intercept is the value of x when the value of y is equal to zero

<em>Find the y-intercept</em>

For x=0

$y=1.50(0)+4.50=4.50$

The y-intercept is the point (0,4.50)

<em>Find the x-intercept</em>

For y=0

$0=1.50x+4.50$

$1.50x=-4.50$

$x=-4.50/1.50=-3$

The x-intercept is the point (-3,0)

Plot the intercepts to graph the line

see the attached figure

8 0

3 years ago

Jack and Jim went biking. Jack biked for 5 1/3 hours with average speed 12 1/2 miles per hour. Jim traveled exactly 1 1/5 as far

ahrayia [7]

Given that Jack biked for $5 \frac{1}{3}$ hours with an average speed of $12 \frac{1}{2}$ miles per hour.

The distance travelled by Jack is given by

$d=speed\times time \\ \\ =12 \frac{1}{2}\times5 \frac{1}{3}= \frac{25}{2} \times \frac{16}{3} \\ \\ = \frac{200}{3} =66 \frac{2}{3} \ miles$

Given that Jim travelled exactly $1 \frac{1}{5}$ as far as Jack did, then the distance Jim travelled is given by

$d=1 \frac{1}{5} \times66 \frac{2}{3} \\ \\ = \frac{6}{5} \times \frac{200}{3} =80$

Therefore, the length of Jim's journey is 80 miles.

3 0

3 years ago

Determine whether (7,9) is a solution of 7x+2y= −7.

topjm [15]

We can check by subbing in the values.

7x + 2y = -7
(7,9).....x = 7 and y = 9
now we sub
7(7) + 2(9) = -7
49 + 18 = -7
67 = -7 (incorrect)....therefore, (7,9) is NOT a solution for this equation

8 0

3 years ago

The length of a rectangular garden is 30 yards more than the width. The perimeter is 300 yards. Find the length and width

Delicious77 [7]

Answer:

Length is 90yards and width is 60yards

Step-by-step explanation:

Perimeter= 2( length+width)

let the width be x

then the length will be 30 + x

300 = 2(30+x+x)

150 = 30 + 2x

120= 2x

x = 120/2

x = 60 yards

length= 30+x

= 30 + 60

= 90yards

8 0

2 years ago

Find an equation of the line through (3,6) and parallel to y = 4x - 7.

FromTheMoon [43]

Answer:

$y=4x-6$

Step-by-step explanation:

Okay, to do this we must understand what parallel means.

parallel means that that one line will NEVER touch the other. In order for this to happen they must be increasing (or decreasing) by the SAME rate. I.e the slope of your line must be the same as the lin in question thus our equation looks like,

$y=4x+c$ .