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Ad libitum [116K]
2 years ago
10

I really need help with this. Please and thank you.

Mathematics
1 answer:
trasher [3.6K]2 years ago
5 0

Answer:

Step-by-step explanation:

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7. Solve the equation using the quadratic formula.<br> 3x^2 = 2(2x+1)
suter [353]

Answer:

\rm x = \dfrac{2+\sqrt{10}}{3},\dfrac{2-\sqrt{10}}{3}

Step-by-step explanation:

A quadratic equation is given to us and we need to solve the equation using the quadratic formula . The given equation is ,

\rm\implies 3x^2=2(2x+1)

Open the brackets in RHS ,

\rm\implies 3x^2= 4x + 2

Transpose all the terms to LHS ,

\rm\implies 3x^2-4x-2=0

The general form of a quadratic equation is ax² + bx + c = 0 , and the roots of the equation by the Quadratic Formula ( Shreedhacharya's Formula ) is given by ,

\rm\implies\red{ x =\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}}

Using the quadratic formula , we have ,

\rm\implies x =\dfrac{-(-4) \pm \sqrt{(-4)^2-4(3)(-2) }}{2(3)}

Simplify ,

\rm\implies x =\dfrac{4 \pm \sqrt{16+24 }}{6}

\rm\implies x = \dfrac{4\pm \sqrt{40}}{6}

\rm\implies x =\dfrac{4\pm 2\sqrt{10}}{6}

\rm\implies\boxed{\pink{\frak{ x = \dfrac{2+\sqrt{10}}{3},\dfrac{2-\sqrt{10}}{3}}}}

8 0
2 years ago
If a recipe uses 5 cups of flour for every 2 cups of sugar, how much sugar is used for every 1 cup of flour?
Aleks04 [339]

2/5 cup of sugar

you divide 5 by 5 to get 1 cup of flour, and you divide 2 by 5 to get 2/5 cup of sugar

5 0
3 years ago
If the equation of a line is y= - 2/3 x - 2 at what.point on the graph would I find the y- intercept?
Aliun [14]

Answer:

(0, -2)

Step-by-step explanation:

The slope equation is written as y = mx + b where m is the slope and b is the y-intercept. In this equation the slope, which is m, is -2/3 and the y-intercept is -2, which is the value of b. So the y-intercept on the graph would be found at point (0, -2)

5 0
3 years ago
Read 2 more answers
HELP!!!!!!!!!!!!!
Misha Larkins [42]

Answer:

P'(7,0)Q'(2,1) R'(12,-6)

Step-by-step explanation:

P(3,5)------>P'(3+4,5-5)

P'(7,0)

Q(-2,6)----->Q'(-2+4,6-5)

Q'(2,1)

R(8,-1)------>R'(8+4,-1-5)

R'(12,-6)

8 0
3 years ago
What is the equation for the line in slope-intercept form?
iragen [17]

Answer:

y = -4x + 5.

Explanation:

Count rise/run to find the slope, find the y-intercept.

5 0
3 years ago
Read 2 more answers
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