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3 years ago

-3(2h + -5h2) + 2h Simplify the expression

Mathematics

2 answers:

Grace [21]3 years ago

8 0

Answer:

26h

Step-by-step explanation:

-3(2h-10h)+2h

-6h+30h+2h=26h

miskamm [114]3 years ago

5 0

I think the answer is 24h

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Solve this pleasee!!!!!!!!!!!

Sholpan [36]

Answer:

1) Solution (2,-3)

2) Solution (-1, $-\frac{3}{2}$ )

3) Solution ( $\mathbf{-\frac{1}{2},-\frac{5}{2}}$ )

Step-by-step explanation:

We need to solve equations using elimination

1) $2x+2y=-2\\3x-2y=12$

Let:

$2x+2y=-2--eq(1)\\3x-2y=12--eq(2)$

Adding both equations:

$2x+2y=-2\\3x-2y=12\\--------\\5x=10\\x=\frac{10}{5}\\x=2$

We get value of x = 2

Now, put value of x into equation 1 to find value of y

$2x+2y=-2\\Put\:x=2\\2(2)+2y=-2\\4+2y=-2\\2y=-2-4\\2y=-6\\y=-6/2\\y=-3$

So, we get y = -3

Solution (2,-3)

2) $4x-2y=-1\\-4x+4y=-2$

Let:

$4x-2y=-1--eq(1)\\-4x+4y=-2--eq(2)$

Adding both equations

$4x-2y=-1\\-4x+4y=-2\\------\\2y=-3\\y=\frac{-3}{2}$

We get: y= -3/2

Now find value of x by putting value of y in eq(1)

$4x-2y=-1\\Put\:y=\frac{-3}{2}\\4x-2( \frac{-3}{2})=-1\\4x+3=-1\\4x=-1-3\\4x=-4\\x=\frac{-4}{4}\\x=-1$

We get x = -1

Solution (-1, $-\frac{3}{2}$ )

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

let:

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

Add both equations:

$x-y=2\\x+y=-3\\-----\\2x=-1\\x=-\frac{1}{2}$

We get x = -1/2

Now, put value of x in equation 2

$x+y=-3\\-\frac{1}{2}+y=-3\\y=-3+ \frac{1}{2}\\y=\frac{-6+1}{2}\\y=\frac{-5}{2}$

We get y = -5/2

Solution ( $\mathbf{-\frac{1}{2},-\frac{5}{2}}$ )

7 0

3 years ago

Solve the inequality algebraically. Write the solution in interval notation.

Dima020 [189]

The given inequality is

$| 7x-1| \geq 4$

First we need to remove the inequality, and on doing so we will get two inequalities, which are

$7x-1 \geq 4 \ or \ 7x-1 \leq -4$

Adding 1 to both equations

$7x \geq 5 \ or \ 7x \leq -3$

Dividing both sides by 7

$x \geq 5/7 \ or \ x \leq -3/7$

So the required solution is

$(- \infty ,-3/7] U ( 5/7, \infty)$

7 0

3 years ago

Drag each tile to the correct box

ValentinkaMS [17]

Answer:

Arranging the solutions from the least to the highest;

1. 1.743 x 10⁻²

2. 3.626 x 10⁻²

3. 4.64 x 10⁻²

4. 3.162 x 10²

5. 4.214 x 10³

Step-by-step explanation:

The solutions of the mathematical expression are calculated as follows;

$1. \ \ (4.3\times 10^6)(9.8\times 10^{-4}) = (4.3\times 9.8\times 10^{6-4}) = (42.14\times 10^2)= 4.214 \times 10^3$

$2. \ \ (2.9\times 10^7)(1.6\times 10^{-9}) = (2.9\times 1.6\times 10^{7-9}) = 4.64\times 10^{-2}$

$3. \ \ \frac{(4.7 \times 10^3)(8.6\times 10^{-7})}{(3.8\times 10^{-4})(6.1 \times 10^2)} = \frac{(4.7\times 8.6\times 10^{3-7})}{(3.8\times 6.1\times 10^{-4+2})} = \frac{4.042 \times 10^{-3}}{2.318\times 10^{-1}} = 1.743\times 10^{-2}$

$4. \ \ (4.9\times 10^3)(7.4\times 10^{-6}) = (4.9\times 7.4\times 10^{3-6}) = 3.626\times 10^{-2}$

$5. \ \ \frac{(3.9 \times 10^5)(8.7\times 10^{-3})}{(3.7\times 10^{-5})(2.9 \times 10^8)} = \frac{(3.9\times 8.7\times 10^{5-3})}{(3.7\times 2.9\times 10^{-4 +8 })} = \frac{3.393 \times 10^{-1}}{1.073\times 10^{-3}} = 3.162\times 10^{2}$

Arranging the solutions from the least to the highest;

1. 1.743 x 10⁻²

2. 3.626 x 10⁻²

3. 4.64 x 10⁻²

4. 3.162 x 10²

5. 4.214 x 10³

4 0

3 years ago

Read 2 more answers

What is the product of (3x - 2)(2x^2 + 5)?

MrMuchimi

Answer:

6x^(3)-4x^(2)+15x-10

Step-by-step explanation:

3 0

3 years ago

Select all of the angles that are congruent to <5 plzzz helppp

kirill115 [55]

Answer:

Options A, D and F

Step-by-step explanation:

From the picture attached,

lines 'l' ad 'm' are the parallel lines and line 't' is a transversal intersecting each line at two different points.

From the angles formed at the points of intersection,

∠5 ≅ ∠8 [Vertical angles]

∠5 ≅ ∠4 [Alternate interior angles]

∠5 ≅ ∠1 [Corresponding angles]

Therefore, Options A, D and F will be the correct options.

5 0

4 years ago