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3 years ago

To make it more easier for everyone, it's on Khan Academy and this problem is in Algebra 1 to be specific. Solve for x.

Mathematics

1 answer:

jolli1 [7]3 years ago

3 0

Answer:

B: x≤5

Step-by-step explanation:

Hi there!

We're given two inequalities; 3x−8≤23 and −4x+26≥6

We need to find the values of x that make BOTH of the inequalities true (which is the intersection of the two inequality graphs)

First, let's solve for x in both of them

taking the first inequality:

3x−8≤23

add 8 to both sides

3x≤31

divide by 3

x≤31/3

now solve for x in −4x+26≥6

subtract 26 from both sides

-4x≥-20

divide both sides by -4 and remember to FLIP the inequality sign since we have a negative number

x≤5

now let's graph these two inequalities to find the intersection, and that is below with the answer

Hope this helps! :)

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3 years ago

Read 2 more answers

A scientist needs to make 2 liters of saline solution (salt water), in which the salt level must be at 15% concentration (meanin

slamgirl [31]

Answer:

We need 1.6 liters of the 10 % concentration level and saline solution and 0.4 liters of the 35 % concentration level and saline solution.

Step-by-step explanation:

Let V₁ be the volume of the 10% concentration saline solution required and V₂ be the volume of 35% concentration saline solution required.

Since mass = concentration × volume, the total mass of the 10% and 35% volume saline solution equal the mass of the 2 liter 15% volume solution.

So, 0.1V₁ + 0.35V₂ = 2 × 0.15

0.1V₁ + 0.35V₂ = 0.3 (1)

Also, the total volume of the 15 % solution must equal 2 liters. So,

V₁ + V₂ = 2 (2)

V₁ = 2 - V₂ (3)

putting equation (3) into equation (1), we have

0.1(2 - V₂) + 0.35V₂ = 0.3

0.2 - 0.1V₂ + 0.35V₂ = 0.3

we now collect terms, so

- 0.1V₂ + 0.35V₂ = 0.3 - 0.2

0.25V₂ = 0.1

we now divide through by 0.25, so

V₂ = 0.1/0.25

V₂ = 0.4 liters

we now put V₂ into (3), we have,

V₁ = 2 - 0.4

V₁ = 1.6 liters

So, we need 1.6 liters of the 10 % concentration level and saline solution and 0.4 liters of the 35 % concentration level and saline solution.

3 0

3 years ago

4. If TV = 14x - 8, find TU. 9x+2 5

Musya8 [376]

Answer:

x = 3

Explanation:

The complete question is shown in the attached diagram

Collinear points are defined as points that lie on the same straight line

Since points U, T and V are given to be collinear, this means that these three points lie on the same straight line

Now, we are given that point U is between points T and V

This would mean that the length of segment TV can be written as the sum of the segments TU and UV

Therefore:

TV = TU + UV

We are given that:

TV = 14x - 8

TU = 9x + 2

UV = 5

Substitute with the givens in the above mentioned equation and solve for x as follows:

TV = TU + UV

14x - 8 = 9x + 2 + 5

14x - 8 = 9x + 7

14x - 9x = 7 + 8

5x = 15

x = 3

Hope this helps :)

5 0

3 years ago