All categories

3 years ago

Find the value of a for which the solution of the inequality is all real numbers

Mathematics

1 answer:

Katen [24]3 years ago

8 0

Answer:

a= $\frac{4x+15}{x-3}$

Step-by-step explanation:

You might be interested in

Read the instructions

nordsb [41]

Answer:

Step-by-step explanation:

$\frac{5x - 2}{4}+\frac{1}{2}=\frac{3y+2}{2}$

Multiply the equation by 4

$4*\frac{5x - 2}{4}+4*\frac{1}{2}=4*\frac{3y+2}{2}\\$

5x - 2 + 2 = 2*(3y + 2)

5x +0 = 2*3y + 2*2

5x = 6y + 4

5x - 6y = 4 --------------------(I)

$\frac{7y+3}{3}=\frac{x}{2}+\frac{7}{3}\\$

Multiply the equation by 6

$6*\frac{7y+3}{3}=6*\frac{x}{2}+6*\frac{7}{3}\\$

2*(7y + 3) = 3x + 2*7

14y + 6 = 3x + 14

14y = 3x + 14 - 6

14y = 3x + 8

-3x + 14y = 8 ------------------------(II)

Multiply equation (I) by 3 and equation (II) by 5 and then add

(I)*3 15x - 18y = 12

(II)*5 -15x + 70y = 40 {Now add}

52y = 52

y = 52/52

y = 1

Substitute y =1 in equation (I)

5x - 6*1 = 4

5x - 6 = 4

5x = 4 +6

5x = 10

x = 10/5

x = 2

7 0

3 years ago

What is the quotient (3x4 + 4x – 15) + (x + 3)?

Hoochie [10]

Answer:

3x-5 and r=0

Step-by-step explanation:

We can do it by long division method the required quotient is 3x-5 and r=0

not 3x-1 , r=1

multiply the divisor with 3x we will get to cancel out the first term of dividend

Now after solving we will get

Now, multiply the divisor by -5 we will get -5x-15 which will cancel the entire dividend.

5 0

3 years ago

−6(4a +3) Multiply the polynomial below

olchik [2.2K]

Answer:

$- 6(4a + 3) \\ =( - 6 \times 4a) + ( - 6 \times 3) \\ = - 24a - 18 \\$

5 0

3 years ago

Read 2 more answers

Which is equivalent to this expression? 2/150 + 3/75

Lesechka [4]

Answer:

Step-by-step explanation:

$\frac{2}{150}$ First reduce this to lowest term

$\frac{2}{150}=\frac{1}{75}\\\\\frac{2}{150}+\frac{3}{75}=\frac{1}{75}+\frac{3}{75}\\\\=\frac{1+3}{75}=\frac{4}{75}\\$

7 0

3 years ago

Solve for x 21x+6 help please ?

OLEGan [10]

subtract 6 from the 21x+6. Then divide by 21. The answer is going to be -6/21

4 0

3 years ago

Read 2 more answers