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2 years ago

What is 2times .4 tell me how you solved it sorry I forgot how to do that

Mathematics

2 answers:

Eva8 [605]2 years ago

7 0

2 times 0.4 = 0.8.

0.4
X 2
_____
0.8

olga55 [171]2 years ago

4 0

2
.4

8. Then add the decimal on how many decimal places you have, in this case it is one so you move the decimal once to the left to get .8

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The difference between the two roots of the equation 3x^2+10x+c=0 is 4 2/3 . Find the solutions for the equation.

andrezito [222]

Answer:

Given the equation: $3x^2+10x+c =0$

A quadratic equation is in the form: $ax^2+bx+c = 0$ where a, b ,c are the coefficient and a≠0 then the solution is given by :

$x_{1,2} = \frac{-b\pm \sqrt{b^2-4ac}}{2a}$ ......[1]

On comparing with given equation we get;

a =3 , b = 10

then, substitute these in equation [1] to solve for c;

$x_{1,2} = \frac{-10\pm \sqrt{10^2-4\cdot 3 \cdot c}}{2 \cdot 3}$

Simplify:

$x_{1,2} = \frac{-10\pm \sqrt{100- 12c}}{6}$

Also, it is given that the difference of two roots of the given equation is $4\frac{2}{3} = \frac{14}{3}$

i.e,

$x_1 -x_2 = \frac{14}{3}$

Here,

$x_1 = \frac{-10 + \sqrt{100- 12c}}{6}$ , ......[2]

$x_2= \frac{-10 - \sqrt{100- 12c}}{6}$ .....[3]

then;

$\frac{-10 + \sqrt{100- 12c}}{6} - (\frac{-10 + \sqrt{100- 12c}}{6}) = \frac{14}{3}$

simplify:

$\frac{2 \sqrt{100- 12c} }{6} = \frac{14}{3}$

$\sqrt{100- 12c} = 14$

Squaring both sides we get;

$100-12c = 196$

Subtract 100 from both sides, we get

$100-12c -100= 196-100$

Simplify:

-12c = -96

Divide both sides by -12 we get;

c = 8

Substitute the value of c in equation [2] and [3]; to solve $x_1 , x_2$

$x_1 = \frac{-10 + \sqrt{100- 12\cdot 8}}{6}$

$x_1 = \frac{-10 + \sqrt{100- 96}}{6}$ or

$x_1 = \frac{-10 + \sqrt{4}}{6}$

Simplify:

$x_1 = \frac{-4}{3}$

Now, to solve for $x_2$ ;

$x_2 = \frac{-10 - \sqrt{100- 12\cdot 8}}{6}$

$x_2 = \frac{-10 - \sqrt{100- 96}}{6}$ or

$x_2 = \frac{-10 - \sqrt{4}}{6}$

Simplify:

$x_2 = -2$

therefore, the solution for the given equation is: $-\frac{4}{3}$ and -2.

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2 years ago

How do u find ratios for a ratio

poizon [28]

Answer:

you simplify it? I dont really know. :/

Step-by-step explanation:

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2 years ago

Find the principal.

timofeeve [1]

7250 rupees is the answer to your question!!

5 0

2 years ago

A population of bacteria is 8500 on Day 1, 9350 on Day 2, and 10285 on Day 3.

11111nata11111 [884]

Answer:

The population on 30th day will be 134836.

Step-by-step explanation:

This is a case of exponential growth. The general form of exponential function is,

$y=ab^x$

where, a and b are constants.

The data points from the question are $(1,8500),(2,9350),(3,10285)$

Putting the values in the function,

for $x=1, y=8500$

$8500=ab$ ----------1

for $x=2, y=9350$

$9350=ab^2$ ------2

Dividing equation 2 by 1,

$\Rightarrow \dfrac{ab^2}{ab}=\dfrac{9350}{8500}=1.1$

$\Rightarrow b=1.1$

Putting the value of b in equation 1,

$\Rightarrow a=\dfrac{8500}{1.1}=7727.27$

Now the function becomes,

$y=7727.27(1.1)^x$

Putting x=30, we get

$y=7727.27(1.1)^{30}=134836.2\approx 134836$

4 0

2 years ago

Read 2 more answers

Discount tickets to a basketball tournament sell for $4.00 each. Sam spent $60.00 on discount tickets, $37.50 less than if he ha

nignag [31]

Answer: the regular price is $6.5 each.

Step-by-step explanation:

Let x represent the regular price of a ticket to a basketball tournament.

Discount tickets to a basketball tournament sell for $4.00 each. Sam spent $60.00 on discount tickets. This means that the number of tickets that Sam bought is

60/4 = 15 tickets

The cost of 15 tickets at the regular price is 15x

Since the amount he paid is $37.5 lesser than what he would have paid if he bought the tickets at the regular price, then

15x = 60 + 37.5 = 97.5

x = 97.5/15

x = 6.5

5 0

2 years ago