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Alona [7]
3 years ago
11

What are the solutions of the inequality? Check the solutions. 4x + 6 < –6

Mathematics
2 answers:
svet-max [94.6K]3 years ago
6 0
The given inequality is:
4x + 6 < -6
Subtract 6 from both sides and the divide both sides by 4 to get the solution as follows:
4x + 6 < -6
4x + 6 - 6 < -6 -6
4x < -12
4x/4 < -12/4
x < -3

hope this helps :)
GREYUIT [131]3 years ago
6 0
X<-3 would be the answer

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The variable z is directly proportional to x. When x is 6, z has the value 60. What is the value of z when x = 11?
user100 [1]

Answer:

  110

Step-by-step explanation:

z is apparently 10 times x.

10 times 11 is 110.

6 0
3 years ago
Gabriella makes a profit of $.80 for every cup of coffee that she sells at her coffee shop she wanted to make a profit of at lea
Murrr4er [49]

Answer:

Gabriela needs to sell 4 more cups of coffee to make a profit of $75.

She sells 90 cups and makes $0.80 profit on each cup. That equals $72 profit.

90 x $0.80= $72

She wants to make $75 profit.

$75 - $72 = $3  profit short for the day

$3/$0.80 = 3.75 cups of coffee short  so to make her profit she must sell a total of 94 cups of coffee for the day or an additional 4 cups.

Step-by-step explanation:

3 0
3 years ago
How do you use the order of operations to simplify expressions with exponents
yaroslaw [1]
It could be PEMDAS.
That means solve by this order:
1). Parenthesis
2). Exponents
3). Multiplication
4). Division
5). Addition
6). Subtraction

To remember the order they say it like
this " Please Excuse My Dear Aunt Sally "




6 0
3 years ago
In rectangle $ABCD$, $AD=1$, $P$ is on $\overline{AB}$, and $\overline{DB}$ and $\overline{DP}$ trisect $\angle ADC$. Write the
Studentka2010 [4]
<h3>Answer:</h3>

w+x+y+z = 12

<h3>Explanation:</h3>

When right angle ADC is divided into three equal parts (trisected), each of those parts is 90°/3 = 30°. Thus, ∠CDB = ∠PBD = ∠PDB = 30°.

The sides of a 30°-60°-90° triangle are in the proportion 1 : √3 : 2. Hence BD = 2, and PD = PB = 2/√3 = (2/3)√3.

Then the perimeter of ∆BDP is ...

... perimeter ∆BDP = BD + DP + PB

... = 2 + (2/3)√3 + (2/3)√3

... = 2 + (4√3)/3 . . . . . . . . w=2, x=4, y=3, z=3

w + x + y + z = 2+4+3+3 = 12

8 0
3 years ago
How do you find the complete square of a math problem
dolphi86 [110]

Step-by-step explanation:

I am not sure what exactly you mean.

do you mean the complete square of an expression or

term ?

if so, then by multiplying this term by itself, and that means in general, every part is multiplied by every part and the part results are added considering the signs involved.

e.g.

squaring a+b

(a+b)(a+b) = a×a + a×b + b×a + b×b = a² + 2ab + b²

remember that multiplication and addition are commutative (you can flip the right and left sides with each other and still get the same result : a+b = b+a, a×b = b×a).

squaring a-b

(a-b)(a-b) = a×a + a×-b + -b×a + -b×-b = a² - 2ab + b²

remember that

+×- = -×+ = -

-×- = +

+×+ = +

a more complex example ?

squaring a-b+c

(a-b+c)(a-b+c) =

= a×a + a×-b + a×c + -b×a + -b×-b + -b×c + c×a + c×-b + c×c =

= a² - 2ab - 2bc + 2ac + b² + c²

6 0
3 years ago
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