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4 years ago

How many solutions does this equation have? 4x+(-3x+2)=2x+5-2

Mathematics

1 answer:

igomit [66]4 years ago

8 0

Answer:

One Solution

Step-by-step explanation:

So we have the equation:

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

On both sides, combine like terms:

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

Simplify:

$x+2=2x+3$

Subtract x from both sides. The left cancels:

$(x+2)-x=(2x+3)-x\\2=x+3$

Subtract 3 from both sides. The right cancels:

$(2)-3=(x+3)-3\\-1=x$

Flip:

$x=-1$

So, our equation only has one solution.

And the answer is -1 :)

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33. Suppose you were on a planet where the

tatyana61 [14]

Answer:

a) 3.675 m

b) 3.67m

Explanation:

We are given acceleration due to gravity on earth = $9.8ms^-2$

And on planet given = $2.0ms^-2$

A) Since the maximum jump height is given by the formula

$\mathrm{H}=\frac{\left(\mathrm{v} 0^{2} \times \sin 2 \emptyset\right)}{2 \mathrm{g}}$

Where H = max jump height,

v0 = velocity of jump,

Ø = angle of jump and

g = acceleration due to gravity

Considering velocity and angle in both cases

$\frac{\mathrm{H} 1}{\mathrm{H} 2}=\frac{\mathrm{g} 2}{\mathrm{g} 1}$

Where H1 = jump height on given planet,

H2 = jump height on earth = 0.75m (given)

g1 = 2.0 $ms^-2$ and

g2 = 9.8 $ms^-2$

Substituting these values we get H1 = 3.675m which is the required answer

B) Formula to find height of ball thrown is given by

$\mathrm{h}=(\mathrm{v} 0 * \mathrm{t})+\frac{\mathrm{a} *\left(t^{2}\right)}{2}$

which is due to projectile motion of ball

Now h = max height,

v0 = initial velocity = 0,

t = time of motion,

a = acceleration = g = acceleration due to gravity

Considering t = same on both places we can write

$\frac{\mathrm{H} 1}{\mathrm{H} 2}=\frac{\mathrm{g} 1}{\mathrm{g} 2}$

where h1 and h2 are max heights ball reaches on planet and earth respectively and g1 and g2 are respective accelerations

substituting h2 = 18m, g1 = 2.0 $ms^-2$ and g2 = 9.8 $ms^-2$

We get h1 = 3.67m which is the required height

6 0

4 years ago

which describes the number sentences? 6+0=6: Commutative Property of Addition or Identity Property of Addition

Eduardwww [97]

The identity property of addition states that a + 0 = a

Your answer is identity property of addition.

8 0

3 years ago

Pic included> a or c?

Olenka [21]

I believe the answer would be a.

8 0

3 years ago

In stratified random sampling,(A) randomly selected elements within each of the strata form the sample.(B) all elements within t

otez555 [7]

Answer: (A) randomly selected elements within each of the strata form the sample.

Step-by-step explanation:

Stratified random sampling is a random sampling technique in statistics .

It includes the partition of the entire population into sub-parts called strata.
The strata are formed on the basis of the characteristics shared by members .
After the formation of strata, researcher randomly selects participants from each strata to ensure that that the participant of every group must involve in the sample to represent each character.

Hence, the correct answer is :

(A) randomly selected elements within each of the strata form the sample.

8 0

3 years ago

What is the completely factored form of this polynomial? 18x^3– 120x^2-42x

Vlada [557]

Answer:

6×(3×+1)(×-7)

Step-by-step explanation:

18×^3-120×^2-42×

=6×(3×+1)(×-7)

4 0

3 years ago

Read 2 more answers