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2 years ago

if we add 150 to the minuend of a subtraction and we remove 220 from the subtrahend. How much does the difference vay?

Mathematics

1 answer:

Alex17521 [72]2 years ago

7 0

Answer:

Step-by-step explanation:

(m+150) - (s-200) = m-s + 350

The difference increases by 350

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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.

3 0

2 years ago

Help plzz need the answer and that explanation plz don't send a file

Vitek1552 [10]

Answer:

Step-by-step explanation:

None of these numbers have perfect square roots, but is the closest to the point on the number line. The square root of is 6. 244997998398398. Rounding that number we get approximately 6.3.

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2 years ago

What is the domain and range for the following function and its inverse?

rosijanka [135]

Answer: The first answer choice

Step-by-step explanation:

8 0

3 years ago

Can someone please help me with these questions!!!!

IgorLugansk [536]

Answer: B

Step-by-step explanation:

The only labeled angle is 111

We can conclude that angle 3 is also 111

1 and 2 are both less than 90

Therefore, 1 is 69, 2 is 69, and 3 is 111

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2 years ago

A store has two different brands of laundry detergent. Brand A can do 105 loads of laundry and costs $21.99. Brand B does 80 loa

coldgirl [10]

Answer:

B. Brand A $0.21

Step-by-step explanation:

(round to nearest cent)

Brand A: 21.99/105 = .2094 = .21 ( .2094 rounds to .21)

Brand B: 17.99/80 = .2248 = .22 ( .2248 rounds to .22)

Therefore Brand A is a better buy for $0.21 per load

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2 years ago

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