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2 years ago

What is the quotient?

Mathematics

1 answer:

Ierofanga [76]2 years ago

6 0

Answer:

3/2

Step-by-step explanation:

For dividing rational expressions such as the one given, we use the same concept that we use when dividing fractions.

Thus, we multiply the first expression with the second expression's reciprocal as shown below.

$\frac{2m + 4}{8} \div \frac{m + 2}{6}$

$\frac{2(m + 2)}{8} \times \frac{6}{m + 2}$

We can cancel common factors and simplify the product. Hence, we have

$\frac{2(6)}{8}$

$\frac{3}{2}$

Therefore, the quotient of the expressions is equal to 3/2.

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Marie has 50 pages in her notebook. She made a graph of the kinds of writing on all of the pages she has

MissTica

Answer:

Step-by-step explanation:

50 - 2-3-6-3-5 = 31

4 0

2 years ago

What is the solution of the inequality x^2-9x+18 less then or equal to zero? Graph solution.

Stels [109]

ANSWER

$3\le x\le6$

EXPLANATION

The given inequality is

${x}^{2} - 9x + 18 \leqslant 0$

This is the same as

$(x - 3)(x - 6) \leqslant 0$

The corresponding equation is

$(x - 3)(x - 6)= 0$

By the zero product principle,

$x = 3 \: or \: x = 6$

We now plot the boundaries and test for the region that satisfies the inequality.

See attachment.

From the graph the solution is

$3\le x\le6$

6 0

2 years ago

Math (10 points) please help

Eddi Din [679]

Answer:

x = - 1, y = 4

Step-by-step explanation:

A. We are going to use elimination method because we have +2y and -2y, and when we add these equations +2y and -2y are going to be eliminated.

x + 2y = 7

4x = - 4

x = - 1

x + 2y = 7

-1 + 2y = 7

2y = 8

y = 4

3 0

2 years ago

(05.03)Calculate the area of the regular pentagon below: A regular pentagon with side length of 22.3 inches and dotted line from

Marat540 [252]

Answer:

The area of the regular pentagon is $A=858.55\ in^{2}$

Step-by-step explanation:

we know that

The area of a regular polygon is equal to

$A=\frac{1}{2}Pa$

where

P is the perimeter of the regular polygon

a is the apothem

Find the perimeter P

$P=5(22.3)=111.5\ in$ ----> the regular pentagon has five equal sides

$a=15.4\ in$ ---> distance from center to middle of side

substitute

$A=\frac{1}{2}(111.5)(15.4)$

$A=858.55\ in^{2}$

5 0

2 years ago

Read 2 more answers

For the vectors u= (1, 3, 2) and v=(2, 0, 3), evaluate the following expressions.

Ratling [72]

Answer:

a) 4u + 2v = (8, 12, 14)

b) 2u - v = (0, 6, 1)

c) |u + 4v| = 16.9

Step-by-step explanation:

When we add/subtract vectors, we add/subtract their components. For example

a = (a1,a2,a3)

b = (b1,b2,b3)

a+b = (a1 + b1, a2 + b2, a3 + b3)

|a| is the modulus of vector a, given by

$|a| = \sqrt{a1^{2} + a2^{2} + a3^{3}}$

In this problem, we have that:

u = (1,3,2)

v = (2,0,3)

(a) 4u+2v

4u = 4(1,3,2) = (4,12,8)

2v = 2(2,0,3) = (4,0,6)

4u + 2v = (8, 12, 14)

(b) 2u-v

2u = 2(1,3,2) = (2,6,4)

v = (2,0,3)

2u - v = (0, 6, 1)

(c) |u + 4v|

u = (1,3,2)

4v = 4(2,0,3) = (8,0,12)

u + 4v = (9,3,14)

$|u + 4v| = \sqrt{9^{2} + 3^{2} + 14^{2}} = 16.9$

7 0

3 years ago