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3 years ago

Solve for x 2(x + 7) <3(x + 4)

Mathematics

2 answers:

Alborosie3 years ago

6 0

Answer:

X > 2

Step-by-step explanation:

2x + 14 < 3x + 12

-x < -2

x > 2

stepladder [879]3 years ago

4 0

Answer:

x >2

Step-by-step explanation:

steps:

1: write the question nicely.

2: the number outside multiply with what is in the bracket.(EXPAND).

3: collect the like terms.

4: 2x-3x=-1x

:12-14=-2

5: divide by negative 1 on both side.

6:remember when u solve something including the inequalities sign....if u divide it by a negative number u should change the sign .

the ans will be x>2

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Does the order in which the two transformations in a composite transformation affect the final

kap26 [50]

The order in which the two transformations in a composite transformation affect the final answer

<h3>How to determine the composite transformation?</h3>

To determine if order matters or not, I will use the following example and illustration.

Let the coordinate of point A be:

A = (2, 5)

Perform the following transformations:

Translate by (x, y + 1)
Dilate by a scale factor of 2

First order: Translation before dilation

The translation by (x, y + 1) would give:

A' = (2, 5 + 1)

A' = (2,6)

The dilation by a scale factor of 2 would give

A" = 2 * (2,6)

A" = (4,12)

Second order: Dilation before translation

The dilation by a scale factor of 2 would give

A' = 2 * (2,5)

A' = (4,10)

The translation by (x, y + 1) would give:

A'' = (4, 10 + 1)

A'' = (4,11)

See that the final coordinates in both orders are not the same.

Hence, the order in which the two transformations in a composite transformation affect the final answer

Read more about transformation at:

brainly.com/question/1548871

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6 0

2 years ago

The value of a car is $30,000 and depreciates at a rate of 6.5% each year.

navik [9.2K]

Answer:$20250

Step-by-step explanation:

6.5% of 30000

6.5/100 x 30000

(6.5 x 30000)/100

195000/100=1950

First year depreciation 30000-1950=28050

Second year=28050-1950=26100

Third year=26100-1950=24150

Fourth year=24150-1950=22200

Fifth year=22200-1950=20250

7 0

3 years ago

Can someone check if this is right and correct me if it’s not????

mylen [45]

Answer:

No. it is not tangent to the circle ⇒ A

Step-by-step explanation:

In any circle a tangent and a diameter are perpendicular at one end of the diameter

In the attached figure

∵ The line segment drawn from point A is passing through

the center of the circle

∴ This line segment is a diameter of the circle

∵ If AB is a tangent to the circle at point A

- That means the diameter and the tangent meet each other

at point A (one end of the diameter)

∴ AB and the diameter are perpendicular at point A

∴ m∠A = 90°

Now let us check if the lengths of the triangle formed a right angle triangle or not by using the inverse of Pythagoras Theorem

In a triangle if the square of the longest side is equal to the sum of the squares of the other two sides, then the triangle is a right triangle at the vertex which opposite to the longest side

∵ 17 is the longest side in the triangle

∵ The other two sides are 10.2 units and 6.8 units

∵ (17)² = 289

∵ (10.2)² + (6.8)² = 150.28

∴ (17)² ≠ (10.2)² + (6.8)²

∴ The triangle can not be a right triangle because the square

of the longest side is not equal to the sum of the squares of the

other two sides

∵ ∠A is opposite to the longest side

∴ m∠A ≠ 90°

∴ Line AB is not perpendicular to the diameter at A

∴ Line AB is not a tangent to the circle

5 0

3 years ago

Simplify the product

andrezito [222]

Distribute the 8p to all of the numbers in the parenthesis. You would multiply the coefficient and add the exponents. The answer would be B.

6 0

3 years ago

Read 2 more answers

What is the solution set of x2 + y2 = 26 and x − y = 6?

Viefleur [7K]

It works out that: y = 1 or 5 and therefore x = 5 or 1

4 0

3 years ago