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natta225 [31]
3 years ago
14

How many solutions does 4x + 5 = 6(x + 3) - 20 - 2x have? Show your work. SOLUTION ​

Mathematics
1 answer:
liq [111]3 years ago
7 0

Answer:

There are no solutions.

Step-by-step explanation:

4x+5=6x+18-20-2x (Distributive Property)

4x+2x-6x=18-20+5 (Combine Like Terms)

0=3 (Simplify)

That doesn't make any sense, so there are no solutions.

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I need help asap please
rjkz [21]

Answer:

x = -\frac{3}{2} or x = 1

Step-by-step explanation:

Using the zero product property, first step is to set the given equation, 2x^2 + x - 1 = 2 , to zero. Then factorise the left side.

Thus,

2x^2 + x - 1 = 2

Subtract 2 from both sides

2x^2 + x - 1 - 2 = 2 - 2

2x^2 + x - 3 = 0

Factorise the left side

2x^2 + 3x - 2x - 3 = 0

x(2x + 3) - 1(2x + 3) = 0

(x - 1)(2x + 3) = 0

Find the solution

x - 1 = 0

Or

2x + 3 = 0

x = 1

Or

2x + 3 = 0

2x = -3

x = -\frac{3}{2}

The answer is: x = 1 or x = -\frac{3}{2}

3 0
3 years ago
X2<br>2<br>ab<br>ab to<br>b<br>The diagian<br>K<br>n shows<br>rectangle. The shade<br>Find x.<br>​
Norma-Jean [14]

Answer:

x = 28 cm

Step-by-step explanation:

Given:

Area of link shaded regions = 84 cm²

Required:

The value of x (diameter of the semicircle/length of the rectangle)

Solution:

Diameter of the semicircle = 2r = x

Length of rectangle (L) = 2r = x

Radius of semicircle (r) = ½x

Width of rectangle (W) = radius of semicircle = ½x

Use 3.14 as π

Area of the link shaded regions = area of rectangle - area of semicircle

Thus:

Area of the link shaded regions = (L*W) - (½*πr²)

Plug in the values

84 = (x*½x) - (½*3.14*(½x)²)

84 = x²/2 - (1.57*x²/4)

84 = x²(½ - 1.57/4)

84 = x²(0.5 - 0.3925)

84 = x²(0.1075)

Divide both sides by 0.1075

84/0.1075 = x²

781.4 = x²

√781.4 = x

27.9535329 = x

x = 28 cm

5 0
3 years ago
What is the answer to number 1 question?
never [62]
I do not know the answer
8 0
3 years ago
What is the perimeter?
Ad libitum [116K]

Answer:

The perimeter is 92 ft

Step-by-step explanation:

Add all of the sides up

7 0
3 years ago
Read 2 more answers
Sally is making 15 individual blueberry cheesecakess. How many pounds of blueberries will be in each cheesecake if 514 pounds of
Ne4ueva [31]

Answer:

34.26

Step-by-step explanation:

514 divide by 15 cheesecakes is 34.26 repeating

6 0
3 years ago
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