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1 year ago

What are the solutions to the equation 3x2 + 15x = 18?

Mathematics

1 answer:

jok3333 [9.3K]1 year ago

6 0

$3x {}^{2} + 15x = 18$

<h2>Divide the entire thing by 3</h2>

$x {}^{2} + 5x = 6$

$x {}^{2} + 5x - 6 = 0$

<h2>You can find the roots by using the quadratic formula or by using the form x²-Sx+P</h2>

$let \: \alpha \: and \: \beta \: be \: the \: roots$

<h2>Two numbers whose sum is -5 and product is -6</h2><h2>-6 and +1</h2>

<h2>Your answer is B</h2>

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Please help with this question!! I need serious help!!

asambeis [7]

Answer:

<h2>The circumference is multipled by 4.</h2>

Step-by-step explanation:

The formula of an area of a circle"

$A=\pi r^2$

The formula of a circumference of a circle:

$C=2\pi r$

The area multipled by 16:

$16A=16\pi r^2\\\\16A=\pi(4^2r^2)\\\\16A=\pi(4r)^2$

The radius has increased fourfold, therefore:

$C'=2\pi(4r)=4(2\pi r)=4C$

The circumference is multipled by 4.

You can calculate the area and check the circumference:

$r=11.6\ in\\\\A=\pi(11.6)^2=132.56\pi\\\\16A=(16)(134.56\pi)=2152.96\pi\ in^2$

Calculate the radius:

$\pi r^2=2152.96\pi$ <em>divide both sides by π</em>

$r^2=2152.96\to r=\sqrt{2152.96}\\\\r=46.4\ in$

Calculate the circumference of both circles:

$r=11.6\ in\\\\C=2\pi(11.6)=23.2\pi\ in$

$r=46.4\ in\\\\C'=2\pi(46.4)=92.8\pi\ in$

$\dfrac{C'}{C}=\dfrac{92.8\pi}{23.2\pi}=4\to C'=4C$

5 0

2 years ago

Which proportion below has a vertical

creativ13 [48]

Answer:

1 x 6 = 6 and 3 x 6 = 18

Step-by-step explanation:

3 0

3 years ago

During a blizzard it snowed 5 and 8/10in after a week the sun had melted 3 and 1/2 inches of snow how many inches of snow is lef

WITCHER [35]

$2\frac{3}{10}$ inches of snow is left

<em><u>Solution:</u></em>

Given that,

From given,

$Original\ amount\ of\ snow = 5\frac{8}{10}\ inches = \frac{10 \times 5 + 8}{10} = \frac{58}{10}\ inches$

$Sun\ melted = 3\frac{1}{2}\ inches = \frac{2 \times 3 + 1}{2} = \frac{7}{2}\ inches$

<em><u>how many inches of snow is left</u></em>

Snow left = original amount of snow - sun melted

$Snow\ left = \frac{58}{10} - \frac{7}{2}\\\\Snow\ left = \frac{58}{10} - \frac{7 \times 5}{2 \times 5}\\\\Snow\ left = \frac{58}{10} - \frac{35}{10}\\\\Snow\ left = \frac{58 - 35}{10}\\\\Snow\ left = \frac{23}{10}\\\\\In\ mixed\ fractions\\\\Snow\ left = 2\frac{3}{10}$

Thus $2\frac{3}{10}$ inches of snow is left

3 0

2 years ago

The area of a baseball field bounded by home plate, first base, second base, and third base is a square. If a player at first ba

Andru [333]

Well the question doesnt show any number for a side or anything but we can solve this with algebra if we say that a side from one base to next has a length of x. so we know each side has length x and that the shape they make is square. This means we are only searching for the diagonal of a square.

remember that a diagonal forms and isoscoles right triangle with the 2 sides being equal and the diagonal as the hypotenuse. Using the pythagoream theorem we can say that
a^2 + b^2 = c^2

we said all side lengths are x so we can put x in for a and b and get

x^2 + x^2 = c^2

2x^2 = c^2

c = x * squareroot(2)

that is the basic fundamental answer that will always work when working with diagonals of squares.

so if the length between bases is 90 ft, we could plug this in and get
c = 90 ft * squareroot(2)
c = 127.28 ft

7 0

2 years ago

50 people are selected randomly from a certain population and it is found that 12 people in the sample are over 6 feet tall. wha

Taya2010 [7]

Answer:

The point estimate of the proportion of people over 6ft to total people is 6:25

Step-by-step explanation:

To find this, simply start with the number of people over 6 ft and total people as a proportion.

12:50

Then simplify by dividing by 2

6:25

8 0

2 years ago