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3 years ago

Three less than 11 times a number is the same as 9 less than twice the number

Mathematics

1 answer:

Anarel [89]3 years ago

8 0

Answer:

x=-2/3

Step-by-step explanation:

11x-3=2x-9

11x-2x-3=-9

9x-3=-9

9x=-9+3

9x=-6

x=-6/9

simplify

x=-2/3

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What are zeros of the function? What are there multiples? f(x) = 4x^3 -20x2 + 24x

bixtya [17]

When X=0, the function would be:

f(x) = 4x^3 -20x2 + 24x
0= 4x^3 -20x2 + 24x ----->divide all by x
x(4x^2 -20x + 24) =0 ------> split -20x into -12x and -8x
x(4x^2 -12x -8x + 24)
x{4x(x-3) - 8(x -3}
x(4x-8) (x-3)
x1= 0
x2= 8/4= 2
x3= 3

7 0

3 years ago

Dina and Masha start cycling on a 20 km bike path at the same time. When Dina reaches the end of the path, Masha still has 4 km

sammy [17]

Answer:

0.5 hour

Step-by-step explanation:

Given

Speed of Dina = 10 km/h

Distance = 20 km

So the time Dina taken to complete the track is:

$Speed=\frac{distance}{time}\\10=\frac{20}{time}\\time=\frac{20}{10}\\ time=2\ hours$

The time taken by Dina is 2 hours. As masha started with dina but she was 4 km of the path left to cycle,

her distance covered in 2 hours was:

$Distance\ covered\ by\ Masha\ in\ 2\ hours=20-4\\=16 km$

So we know the time and distance:

Now,

$Speed\ of\ Masha=\frac{distance}{time}\\ =\frac{16}{2}\\ =8\ kilometer\ per\ hour$

We have to calculate the time that will be needed by MAsha to complete the track:

As we know the speed and remaining distance

$Speed=\frac{distance}{time}\\8=\frac{4}{time}\\ time=\frac{4}{8}\\time=0.5\ hours$

Masha needs 0.5 hour to complete the track ..

7 0

3 years ago

Read 2 more answers

Circle V is shown. Line segment T V is a radius with length 14 feet.

lawyer [7]

We have been given graph of circle V with radius 14 feet. We are asked to find the area of the circle V.

We will use area of circle formula to solve our given problem.

$A=\pi r^2$ , where r represents radius of circle.

Upon substituting $r=\text{14 ft}$ in above formula, we will get:

$A=\pi(14\text{ ft})^2$

$A=\pi(14)^2\text{ ft}^2$

$A=\pi\cdot 196\text{ ft}^2$

$A=196\pi\text{ ft}^2$

Therefore, the area of the circle V is $196\pi$ square feet and option 'c' is the correct choice.

5 0

3 years ago

What is the value of x in this equation 3(2x-5)-4x=-11

GaryK [48]

Answer:

x=13

Step-by-step explanation:

6x-15-4x=11

2x-15=11

2x=26

x=13

3 0

3 years ago

Plz help Find ‘x’ & ‘y’

just olya [345]

Answer:

x=20. y=15

Step-by-step explanation:

in similar triangles the sides are all in proportion. this means:

$\frac{25}{5} = \frac{x}{4} = \frac{y}{3}$

$\frac{25}{5} = 5$

so:

$\frac{x}{4} = 5$

x=5×4

x=20

and...

$\frac{y}{3} = 5$

y=3×5

y=15

3 0

2 years ago