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3 years ago

Choose the graph which represents the solution to the inequality. 12x + 4 ≤ -8

Mathematics

1 answer:

user100 [1]3 years ago

3 0

Answer:

Step-by-step explanation:

Steps:

$12x+4-4\leq -8$

Subtract 4 from both sides:

$12x+4-4\leq -8-4$

Simplify:

$12x\leq \frac{-12}{12}$

Divide both sides by 12:

$\frac{12x}{12} \leq \frac{-12}{12}$

Simplify:

$x\leq -1$

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Which property can be justified using the ratios in triangle XYZ

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This is C. cos Z = sin (90 - Y)

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3 years ago

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A machine operation produces bearings whose diameters are normally distributed, with a mean of 0.497 inch and a standard deviati

eduard

Mean = 0.497 in, SD = 0.003 in
Required diameter ranges between 0.496 in and 0.504 in
Anything other diameter obtained is not acceptable.

That is;
P(x<0.496) and P(x>0.504) are not acceptable.

Now,
P(x<0.496) = P(Z< (0.496-0.497)/0.003)) = P(Z<-0.33)
From Z tables, P(Z<-0.33) = 0.3707

Similarly,
P(x>0.504) = P(Z> (0.504-0.497)/0.003)) = P(Z>2.33)
From Z tables, P(Z>2.33) = 1-0.9901 = 0.0099

Therefore, unacceptable proportion = P(x<0.496)+P(x>0.504) = 0.3707+0.0099 = 0.3806 or 38.06%

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3 years ago

Help with math work

Dennis_Churaev [7]

Answers for different section are given below;

<h3>What is Function?</h3>

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, given function;

f(x) = -x² - 4x + 6

1. If we take -1 common from the given function, we get

f(x) = -1 (x² + 4x - 6)

f(x) = -1 (x² + 4x) + 6

Thus, first block contains -1 and second block contains 4.

2. Then we add half of the coefficient of x², (b/2)², inside the bracket and subtract it outside a times, a(b/2)².

f(x) = -1 ( x² + 2. 2x + 2²) +2² + 6

f(x) = -1 ( x² + 4x + 2²) +4 + 6

Thus, first block contains -1, second block contains 4, third block contains 4, and fourth block contains 4.

3. Then we factorize the bracket and simplify outside the bracket;

f(x) = -1 (x + 2)² + 10

Thus, first block contains -1, second block contains 2 and third block contains 10.

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2 years ago

PLEASE PLEASE HELP WILL MARK BRAINLIEST!!

oksian1 [2.3K]

The equivalent expression to given expression is 1/3.

<h3>What is Equivalent Expression?</h3>

Equivalent expressions are defined as algebraic expressions which give the same resulting expression. An algebraic expression (or) a variable expression is defined as a combination of terms by the operations such as addition, subtraction, multiplication, division.

Here, given expression

$\sqrt{2/x^2} X \sqrt{x^2/18}$

= $\sqrt{2 X x^2/18x^2}$

= $\sqrt{1/9}$

= 1/3

Thus, the equivalent expression to given expression is 1/3.

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2 years ago

Please help! I really need it

nirvana33 [79]

Add all sides.
5x+2+3x+8+4x-1
Combine like terms
12x+9
Subtract nine to get it on the other side of the equal sign
12x= -9
Divide by twelve
x=-9/12
Simplify
x=-3/4
Plug in x.

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4 years ago