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AlekseyPX
3 years ago
9

Solve the equation for x, where x is a real number (5 points): -4x^2 + 3x - 1 = 2

Mathematics
1 answer:
patriot [66]3 years ago
6 0
Subtract 2 to both sides so that the equation becomes -4x^2 + 3x - 3 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
                                     x = [ -b ± √(b^2 - 4ac) ] / (2a)
                                     x = [ -3 ± √((3)^2 - 4(-4)(-3)) ] / ( 2(-4) )
                                     x = [-3 ± √(9 - (48) ) ] / ( -8 )
                                     x = [-3 ± √(-39) ] / ( -8)
The answers to this question is that there are no real solutions since the discriminant is -39. √-39 is nonreal.
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Lucy has a bag of marbles. She shares one third of them with Carol, keeping one quarter for herself. Amrita joins them, so Lucy
Umnica [9.8K]

Answer:

Step-by-step explanation:

Let L = Lucy, C = Carol and A = Arita , x = Total amount of marbles

Lucy shares 1/3 with Carol and keeps 1/4 for herself.

This means that Carol has 1/3 of the total amount of marbles, Lucy has 1/4 of the total amount of marbles.

C = 1/3x

L = 1/4x

We are also told that Carol has 7 more marbles than Lucy

C = L + 7

Since C = 1/3x  and L = 1/4x you can sub these into the above equation and you get:

1/3x = 1/4x + 7

Subtract 1/4x from both sides

1/3x - 1/4x = 7

1/12x = 7

Multiply both sides by 12 to find x.

x = 7 times 12 = 84 (Total amount of marbles = 84)

Amrita gets the remaining number of marbles.

A = x - C - L

A = 84 - 1/3 (84) - 1/4 (84)

A = 35

8 0
3 years ago
G)Find the<br>the coefficient of y^5 in the<br>expansion of (3+2y)^6​
hodyreva [135]

Answer:

2

Step-by-step explanation:

A coefficient is a number of times a variable. So in this equation. 2 is being multiplied by y. so 2 is the coefficient.

3 0
3 years ago
The sides of an isosceles triangle are 8, 8, and 3. The measure of the vertex angle to the nearest degree is _____°. 44 17 31 22
Doss [256]
We may draw a vertical that bisects the vertex angle and the shorter side of the triangle, to form a right-triangle with the measurements:
hypotenuse = 8
length = 1.5

We may then apply:
sin(∅) = P / H
sin(∅) = 1.5 / 8
∅ = 10.8 ≈ 11°

This is half of the vertex angle, so the vertex angle is:
11 * 2 = 22°
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3 years ago
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Answer:

5.0/5

Step-by-step explanation:

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3 years ago
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4x+1=9+4y solve for y
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Answer:

y = x-2

Step-by-step explanation:

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