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3 years ago

State the range of possible values for x if (3x+5)(x-1) < 2x+7

Mathematics

1 answer:

lara31 [8.8K]3 years ago

8 0

we are given with the inequality

$(3x+5)(x-1) < 2x+7\\ \\$

Open the parenthesis we get on left side we get

$(3x+5)(x-1) < 2x+7 =3x^2-3x+5x-5$

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CAN ANYBODY HELP ME WITH THIS? btw not really yelling

Alexeev081 [22]

The area of the scale drawing will be:
600 square feet.
Step-by-step explanation:
The actual length of a wall in the room is 46 feet and the actual width of the room is 69 feet.
It is given that:
The scale factor of a room for a scale drawing is 2.3.
The length of the room according to the scale drawing will be:
46÷2.3=20 feet
and the width of the room according to scale drawing will be:
69÷2.3=30 feet
We know that the wall is in the shape of a rectangle.
This means that the area of scale drawing will be:
Length×Width
= 20×30
= 600 square feet.

7 0

2 years ago

A bag contains 7 red, 4 blue, and 6 white marbles.

Leno4ka [110]

Answer:

28/289

Step-by-step explanation:

7 red, 4 blue, and 6 white = 17 marbles

P ( red ) = number of red / total

= 7/17

Replace the marble

7 red, 4 blue, and 6 white = 17 marbles

P ( blue ) = number of blue / total

= 4/17

P (red, replace, blue) = 7/17* 4/17

=28/289

4 0

2 years ago

If 4^2x+1 = 4, then =

Aneli [31]

Step-by-step explanation:

step 1. what is the question? probably solve for x. okay.

step 2. 4^(2x) + 1 = 4

step 3. 4^(2x) = 3 subtract 1 from each side

step 4. ln4^(2x) = ln3 take on of each side

step 5. 2xln4 = ln3 definition of logs

step 6. 2x = ln3/ln4 divide both sides by ln4

step 7. x = ln3/2ln2^2 divide both side by 2 and replace 4 with 2^2

step 8. x = ln3/4ln2.

4 0

2 years ago

Apply the distributive property to create an equivalent expression. (6m – 7). 4=

Savatey [412]

Answer: 24m-28

Step-by-step explanation:

According to the distributive property ,

$a(b+c) = ab+ac$

$(b+c)a = ba+ca$ , where a, b and c are any arbitrary expressions.

Given expression : $(6m-7)\cdot4$

By using distributive property , we have

$(6m - 7)\cdot 4= (6m)(4)-(7)(4)\\\\= (6)(4)(m)-28 \ \ \ [\text{By associative property}]\\\\=24m-28$

Hence, the required equivalent expression is 24m-28.

6 0

3 years ago

Read 2 more answers

1.)12.5+(-31.5)= 2.)-31.91+(-16.7)= 3.)1/6+(-11/12)+2/3= 4.)29+(-15.7)+(-31.05)=

Xelga [282]

1. = Step 1. Simplify Brackets and you get $12.5 - 31.5$ Step 2. Simplify and you get $-19
$ which is your answer.

2. = Step 1. Simplify Brackets and you get $-31.91-16.7$ Step 2. Simplify and you get $-48.61$

3. = Step 1. Simplify Brackets and you get $\frac{1}{6} - \frac{11}{12} + \frac{2}{3}$ Step 2. Simplify and you get $- \frac{1}{12}$

4. Step 1. = Simplify Brackets and you get $29-15.7-31.05$ Step 2. Simplify and you get $-17.75$

5 0

3 years ago