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3 years ago

Simplify the expression to standard form -1/2(8x - 4) + (-5 + 3x)

Mathematics

1 answer:

Hitman42 [59]3 years ago

6 0

Answer:

$- x - 3$

Step-by-step explanation:

1) regroup term.

$- \frac{1}{2} (8x - 4) + 3x - 5$

2) Simplify 1/2 ( 8x - 4 ) to 8x - 4/2.

$- \frac{8x - 4}{2} + 3x - 5$

3) Factor out the common term 4.

$- \frac{4(2x - 1)}{2} + 3x - 5$

4) Simplify 4( 2x - 1 ) / 2 to 2( 2x - 1).

$- 2(2x - 1) + 3x - 5$

5) Expand by distributing terms.

$- (4x - 2) + 3x - 5$

6) Remove parentheses.

$- 4x + 2 + 3x - 5$

6) Collect like terms.

$( - 4x + 3x) + (2 - 5)$

8) Simplify.

$- x - 3$

Therefor, the answer is -x - 3.

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DaniilM [7]

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4 years ago

The area of the triangle formed by points of intersection of parabola y=a(x−3)(x+2) with the coordinate axes is 10. Find a if it

ICE Princess25 [194]

Answer: a = 4

Step-by-step explanation: Area of a triangle is calculated as: $A_{t}=\frac{b.h}{2}$ .

The triangle formed by the parabola has base (b) equal to the distance between the points where the graph touches x-axis and height (h) is the point where graph touches the y-axis.

The points on the x-axis are the roots of the quadratic equation:

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

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

x - 3 = 0

x = 3

x + 2 = 0

x = -2

So, base is the distance between (-2,0) and (3,0).

Since they are in the same coordinate, distance will be:

b = 3 - (-2)

b = 5

Area of the triangle is 10. So constant a is

$10=\frac{5.a}{2}$

5a = 10.2

a = 4

The constant a of the function y = a(x-3)(x+2) is 4.

7 0

3 years ago

Someone plz help me with this

ohaa [14]

Answer:

2.20 y axis 2years T x axis is the answer

6 0

3 years ago

I need help pls help me

lutik1710 [3]

First Method:

Round $\frac{3}{5}$ to the closest integer, which is 1.

Round $\frac{3}{4}$ to the closest integer, which is also 1.

So 1 + 1 = 2.

Answer for method 1: 2

Second Method:

$\frac{3}{5}$ + $\frac{3}{4}$ = $\frac{3*4}{5*4} + \frac{3*5}{4*5} = \frac{12}{20}+\frac{15}{20}=\frac{27}{20}$

$\frac{27}{20}$ is around 1

Answer for method 2: 1

The closest answer is 1.

3 0

3 years ago

Leila, Charlie, and Joe have a total of $144 in their wallets. Joe has 4 times what Leila has. Charlie has $6 more than Leila. H

ollegr [7]

Answer:

The amounts of money each has are:

Joe = $92

Charlie = $29

Leila = $23

Step-by-step explanation:

To solve this, we will convert the statements into an equation, and use that to solve for the unknowns, as follows:

total amount = $144

Let Leila's share be S

Joe's share = 4 times Leila's = 4S

Charlie's share = $6 + Leila's share = 6 + S

Joe's share + Charlie's Share + Leila's Share = $144

4S + (6 + S) + S = 144

4S + 6 + S + S = 144

4S + 2S + 6 = 144

6S + 6 = 144

6S = 144 - 6 = 138

S = 138 ÷ 6 = $23

Therefore Leila's share 'S' = $23

Joe share= 4S = 4 × 23 = $92

Charlie's share = 6 + 23 = $29

8 0

3 years ago