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eduard
3 years ago
11

Which of the following is the solution for 9<=1-4x<21

Mathematics
1 answer:
frozen [14]3 years ago
5 0

Answer:

-5 < x <=-2

Step-by-step explanation:

9<=1-4x<21

Subtract 1 from each side

9 -1<=1-1-4x<21-1

8 <= -4x < 20

Divide each side by -4.  That means to flip all inequalities

8/-4 >= -4x/-4 >20/-4

-2 >=x > -5

-5 < x <=-2

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In how many ways can six people sit in a six-passenger car?
nekit [7.7K]

Answer:

number of ways = 720

Step-by-step explanation:

The number of ways  six people sit in a six-passenger car is given by the number of permutations of 6 elements in 6 different positions ( seats), then

number of ways = number of permutations of 6 elements = 6! = 6 * 5 * 4 *3 * 2 * 1 = 720

Since the first person that sits can be on any of the seats , but then the second person that sits can choose any of 5 seats (since the first person had already occupied one) , the third can choose 4 ... and so on.

5 0
4 years ago
The ratio of the two numbers is 3:4 and their sum is 420. Find the two numbers
sammy [17]

Answer:

0.008

Step-by-step explanation:

because you have to divide it

3 0
3 years ago
Differentiate: y=152+26−37 <br><br> dy/dx= answer
ozzi

Answer:

\frac{dy}{dx} y=0

General Formulas and Concepts:

<u>Calculus</u>

  • The derivative of a constant is equal to 0

Step-by-step explanation:

<u>Step 1: Define function</u>

y = 152 + 26 - 37

<u>Step 2: Simplify</u>

<em>Combine like terms</em>

y = 141

<u>Step 3: Find derivative</u>

<em>Derivative of any constant will be 0.</em>

<em />\frac{dy}{dx} y=0<em />

8 0
3 years ago
Find the length of CU, the triangles are similar.
Otrada [13]

Answer:

CU = 117

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\frac{WC}{WU} = \frac{CD}{UV}

substituting in values to the ratios

\frac{26}{36x-1} = \frac{24}{132} ( cross- multiply )

24(36x - 1) = 3432 ( divide both sides by 24 )

36x - 1 = 143 ( add 1 to both sides )

36x = 144 ( divide both sides by 36 )

x = 4

CU = 36x - 1 - 26 = (36 × 4) - 27 = 144 - 27 = 117


3 0
3 years ago
Find the area of a triangle with a base length of 3 units and a height of 4 units. 3 square units 6 square units 7 square units
yan [13]

For this case we have that by definition, the area of a triangle is given by:

A = \frac {b * h} {2}

Where:

b: It is the base of the triangle

h: It is the height of the triangle

According to the data of the statement we have:

b = 3 \ units\\h = 4 \ units

Substituting in the formula we have:

A = \frac {3 * 4} {2} = \frac {12} {2} = 6 \ units ^ 2

So, the area of the triangle is6 \ units ^ 2

Answer:

6 \ units ^ 2

8 0
3 years ago
Read 2 more answers
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