Work this travel problem based on the data provided in the various tables in this section.

There are two approaches to solving the equation -3x + 10 = 4x - 20 Subtract 4x from both sides. OR Add 3x to both sides. –7x +

Scrat [10]

Answer:

There are two approaches to solving the equation -3x + 10 = 4x - 20. The value of x after solving in both methods is 4.2857.

Solution:

Given, equation is -3x + 10 = 4x – 20.

We have to solve the given equation in two methods, now let us see the first method.

1st method ⇒ by subtracting 4x from both sides.

Then, -3x + 10 = 4x – 20 ⇒ -3x + 10 – 4x = 4x – 20 – 4x ⇒ -3x – 4x = -20 – 10 ⇒ -7x = -30 ⇒ 7x = 30

Then, x = $\frac{30}{7}$

Now, let us use the 2nd method.

2nd method ⇒ by adding 3x on both sides.

Then, -3x + 10 = 4x – 20 ⇒ -3x + 10 + 3x = 4x – 20 + 3x

⇒ 10 + 20 = 4x + 3x

⇒ 7x = 30

⇒ x = $\frac{30}{7}$

Hence, the value of x after solving in both methods is $\frac{30}{7}$ = 4.2857.

6 0

1 year ago

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Ray has an odd number of cats. he also has an even number of dogs.

adell [148]

Their sum would be of odd number....

6 0

1 year ago

Which statements about the local maximums and minimums for the given function are true? Choose three options.

Nostrana [21]

Answer:

Over the interval [2, 4], the local minimum is –8.

Over the interval [3, 5], the local minimum is –8.

Over the interval [1, 4], the local maximum is 0.

Step-by-step explanation:

The true statements are:

Over the interval [2, 4], the local minimum is –8.

Over the interval [3, 5], the local minimum is –8.

Over the interval [1, 4], the local maximum is 0.

Lets discuss each option one by one:

Over the interval [1, 3], the local minimum is 0

This is a false statement. Look at the graph. The minimum point given is (3.4,-8). Therefore the local minimum is -8 not 0

Over the interval [2, 4], the local minimum is –8.

This statement is true because the given minimum point is(3.4, -8). Thus the local minimum is -8 which is true

Over the interval [3, 5], the local minimum is –8.

According to the given minimum point, the local minimum is -8 which is true

Over the interval [1, 4], the local maximum is 0.

Look at the graph. The maximum point given is (2,0). Thus this statement is true because local maximum is 0.

Over the interval [3, 5], the local maximum is 0.

This is a false statement because there is no maximum point

8 0

1 year ago

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Use properties to rewrite the given equation. Which equations have the same solution as x + + x = – x plus StartFraction 2 Over

Contact [7]

Answer:

The answer is A B and D

A. 8/5x + 2/3 = 1/2 – 1/5x

B. 18x + 20 + 30x = 15 – 6x

C. 18x + 20 + x = 15 – 6x

D. 24x + 30x = –5

E. 12x + 30x = –5

Step-by-step explanation:

6 0

2 years ago

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An artist is creating a sculpture using bendable metal rods of equal length. One rod is formed into the shape of a square and an

Alika [10]

Check the picture below.

so notice, their perimeter is the same, because the perimeter is just one rod anyway, and all rods are the same length, thus

$\bf P_s=P_t\implies 4s=3(s+2)\implies 4s=3s+6\implies s=6$

6 0

2 years ago

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