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3 years ago

7

Greg is going to start a lawn mowing business and

1 answer:

Sladkaya [172]3 years ago

6 0

Answer:

9.4 gallons of gas

Step-by-step explanation:

4×2.35=9.4

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Type the correct answer in each box.

nataly862011 [7]

Answer:

i dont knwo

Step-by-step explanation:

5 0

2 years ago

What is the b in this math question -17+b/8=1

brilliants [131]

Are you supposed to find B?

5 0

3 years ago

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:

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

or

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

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 $x_1 , x_2$

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

or

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

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

Simplify:

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

Now, to solve for $x_2$ ;

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

or

$x_2 = \frac{-10 - \sqrt{100- 96}}{6}$ 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 please :))

Marysya12 [62]

Answer:

See below

Step-by-step explanation:

<u>The roots are:</u>

3, 3, 2 - 3i, 2 + 3i (conjugate of 2 - 3i should be added) and the leading coefficient is - 5

<u>The polynomial is:</u>

-5(x - 3)² (x - [2 - 3i]) (x - [2 + 3i]) =
- 5(x² - 6x + 9) (x² - 4x + 13) =
-5(x⁴ - 10x³ + 46x² - 114x + 117) =
-5x⁴ + 50x³ - 230x² + 570x - 585

7 0

2 years ago

Evaluate the expression 2(8 − 4)2 − 10 ÷ 2.

Darina [25.2K]

2(8-4)2-10/2, 8 - 4 is 4 so then times that by 2 and you'll get 8 then multiply that by 2 to get 16, after that you need to subtract it by ten which is 6 then divide it by 2 to get 3.

Hope this helped

6 0

2 years ago