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4 years ago

1. What is the transformed quadratic equation of 3x2 + 5x = 6 in the form of ax2 + bx + c = 0?

Mathematics

1 answer:

Murljashka [212]4 years ago

6 0

Answer:

That will be;

3x^2 + 5x -6 = 0

Step-by-step explanation:

Here, we want to write 3x^2 + 5x = 6 in the form

ax^2 + bx + c = 0

That will be;

3x^2 + 5x -6 = 0

We can simply get it by bringing the value 6 from the right hand side of the equation to the left hand side of the equation

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Which expression is equivalent to: 5x2 - 10x - 7+ 5x2 + 8?

LenaWriter [7]

Answer:

Step-by-step explanation:

5x² - 10x - 7 + 5x² + 8 = 5x² + 5x² -10x - 7 + 8

= 10x² - 10x + 1

Bring like terms together and add/ subtract the like terms

4 0

3 years ago

How do i find the volume of these similar solids? round to the nearest tenth HELP

FromTheMoon [43]

Answer:

The volume of the larger solid is $592.6\ mm^3$

Step-by-step explanation:

The question is

If these solids are similar, find the volume of the larger solid

step 1

Find the scale factor

we know that

If two solids are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

x ----> the height of the larger solid in mm

y ----> the height of the smaller solid in mm

z ---> the scale factor

$z=\frac{x}{y}$

we have

$x=4\ mm\\y=3\ mm$

substitute

$z=\frac{4}{3}$ ---> scale factor

step 2

Find the volume of the larger solid

we know that

If two solids are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

x ----> the volume of the larger solid in cubic millimeters

y ----> the volume of the smaller solid in in cubic millimeters

z ---> the scale factor

$z^3=\frac{x}{y}$

we have

$z=\frac{4}{3}$

$y=250\ mm^3$

substitute the values

$(\frac{4}{3})^3=\frac{x}{250}$

solve for x

$(\frac{64}{27})=\frac{x}{250}$

$x=250(\frac{64}{27})$

$x=592.6\ mm^3$

4 0

3 years ago

Select the correct answer from the drop-down menu.

PtichkaEL [24]

Answer:

P(A∩B)=P(A)*P(B)

Step-by-step explanation:

3 0

3 years ago

G(a) = 3a + 2 f(a)=2a-4 Find (g/f)(3)

Basile [38]

Answer:(gf)(3)=g(3)f(3) g(a)=3a+2 or g(3)=3(3)+2=9+2 =11 f(a)=2a−4 f(3)=2(3)−4=6−4=2 g(3)f(3)=112. Answer

Step-by-step explanation:

7 0

2 years ago

Nishi invests £3200 at 6% interest per year. Work out how much she will have altogether after: 2 years

artcher [175]

SI = P×R×T/100

(3200×6×2)/100

= 384

Now 3200 + 384

= Euro 3584

4 0

3 years ago