All categories

2 years ago

Solve this inequality: j/4 – 8 < 4. A. j < –48 B. j < 48 C. j > –12 D. j < 12

Mathematics

2 answers:

postnew [5]2 years ago

4 0

J/4 - 8 < 4

j/4 < 4 + 8
j4 < 12
j < 12 X 4
j < 48

Kruka [31]2 years ago

3 0

$\frac{j}{4} - 8 \ \textless \ 4 \\ \\ \frac{j}{4} \ \textless \ 4 + 8 \\ \\ \frac{j}{4} \ \textless \ 12 \\ \\ j \ \textless \ 12 \times 4 \\ \\ j \ \textless \ 48 \\ \\$

The final result is: j < 48.

You might be interested in

C) The ratio between an exterior angle and an interior angle of a polygon is 1:5.

Bingel [31]

Answer:

30° and 12

Step-by-step explanation:

The sum of the exterior angle and the interior angle = 180°

sum the parts of the ratio, 1 + 5 = 6 parts

Divide 180° by 6 to find the value of one part of the ratio

180° ÷ 6 = 30° ← value of 1 part of the ratio

(i)

The exterior angle = 30°

(ii)

The sum of the exterior angles of a polygon is 360°

To find the number of sides n divide 360 by 30 , that is

n = 360 ÷ 30 = 12

5 0

2 years ago

I would really appreciate it if someone could answer this I will give a brainlist:)

PilotLPTM [1.2K]

5.7

Pythagorean Theorem is a² + b² = c²

8 0

3 years ago

Read 2 more answers

It costs $0.50 to download an individual song and $4.00,

SCORPION-xisa [38]

Answer:

Step-by-step explanation:

an album is 4$ and one song is 0.50$divide 50 by 4$ making 8 then multiply by2

6 0

1 year ago

Read 2 more answers

Need answers to 34 35 and 36

Eva8 [605]

Answer:

34) 75

35) 60

36) 210

Step-by-step explanation:

34) Area of a rectangle:

L x B

= 15 x 5

= 75

35) Area of a trapezium :

½ h (sum of || sides)

= ½ x 6 x (12+8)

= 3 x 20

= 60

36) Area of a regular hexagon:

3BH

= 3 x 7 x 10

210

Hope it helps....

7 0

2 years ago

Read 2 more answers

When deriving the quadratic formula by completing the square, what expression can be added to both sides of the equation to crea

____ [38]

Answer:

According to steps 2 and 4. The second-order polynomial must be added by $-c$ and $b^{2}$ to create a perfect square trinomial.

Step-by-step explanation:

Let consider a second-order polynomial of the form $a\cdot x^{2} + b\cdot x + c = 0$ , $\forall \,x \in\mathbb{R}$ . The procedure is presented below:

1) $a\cdot x^{2} + b\cdot x + c = 0$ (Given)

2) $a\cdot x^{2} + b \cdot x = -c$ (Compatibility with addition/Existence of additive inverse/Modulative property)

3) $4\cdot a^{2}\cdot x^{2} + 4\cdot a \cdot b \cdot x = -4\cdot a \cdot c$ (Compatibility with multiplication)

4) $4\cdot a^{2}\cdot x^{2} + 4\cdot a \cdot b \cdot x + b^{2} = b^{2}-4\cdot a \cdot c$ (Compatibility with addition/Existence of additive inverse/Modulative property)

5) $(2\cdot a \cdot x + b)^{2} = b^{2}-4\cdot a \cdot c$ (Perfect square trinomial)

According to steps 2 and 4. The second-order polynomial must be added by $-c$ and $b^{2}$ to create a perfect square trinomial.

7 0

2 years ago

Read 2 more answers