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3 years ago

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 dy/dx= answer

ozzi

Answer:

$\frac{dy}{dx} y=0$

General Formulas and Concepts:

Calculus

The derivative of a constant is equal to 0

Step-by-step explanation:

Step 1: Define function

y = 152 + 26 - 37

Step 2: Simplify

Combine like terms

y = 141

Step 3: Find derivative

Derivative of any constant will be 0.

$\frac{dy}{dx} y=0$

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 is $6 \ units ^ 2$

Answer:

$6 \ units ^ 2$

8 0

3 years ago

Read 2 more answers