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4 years ago

Solve the equation m²+4m=-2

Mathematics

2 answers:

lozanna [386]4 years ago

7 0

Answer: There's two solutions to this problem:

1. m =(4-√8)/2=2-√ 2 = 0.586

2. m =(4+√8)/2=2+√ 2 = 3.414

UNO [17]4 years ago

4 0

Step 1: Subtract -2 from both sides.
m2+4m−(−2)=−2−(−2)
m2+4m+2=0
Step 2: Use quadratic formula with a=1, b=4, c=2.
m=−b±√b2−4ac2a
m=−(4)±√(4)2−4(1)(2)2(1)
m=−4±√82
m=−2+√2 or m=−2−√2

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According to the University of Nevada Center for Logistics Management, 6% of all merchandise sold in the United States gets retu

KatRina [158]

Answer: 0.1

Step-by-step explanation:

Given : A Houston department store sampled 80 items sold in January and found that 8 of the items were returned.

In other words, sample size : n=1040

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Let p be the proportion of items returned for the population of sales transactions at the Houston store.

As per sample , the sample proportion of items returned for the population of sales transactions at the Houston store is :

$\hat{p}=\dfrac{x}{n}=\dfrac{8}{80}=0.1$

As we know that , the sample proportion is the best estimate of the population proportion.

Therefore,a point estimate of the proportion of items returned for the population of sales transactions at the Houston store is 0.1.

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3 years ago

Which is a correct two-column proof? Given: r || s Prove: ∠b and ∠h are supplementary. Picture 1, Picture 2, Picture 3 or none o

aliina [53]

Answer: The second proof table is the the proper proof table.

We always start out with what we are given, which in this case is r || s saying that r is parallel to s. Also, we always end up with what we want to prove which is angles b and h are supplementary. So this is the last line of the proof.

So far, this eliminates the first proof table because in this table, the last line says "angle c and angle h are supplementary" which is not what we want to end up with. We want the last line to say "angle b and angle h are supplementary".

We can also eliminate the third proof table because of the statement "angle d and angle h are supplementary". They are only supplementary if they are both right angles. Also, the reasoning of "alternate interior angles" is false as they are corresponding angles.

The only thing left is the second proof table which is correctly argued from start to finish.

1. r || s ........................ given

2. angle b = angle c ................ vertical angles

3. c and e are supplementary angles ....... same side interior

4. angle e = angle h ................. vertical angles

5. b and h are supplementary ...... substitution

Note: in line 5, we start with line 3's statement. Then we replace 'c' with 'b', at the same we replace 'e' with 'h'.

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3 years ago

Read 2 more answers

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harina [27]

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3 years ago

A company rents out 15 food booths and 28 game booths at the county fair. The fee for a food booth is $50 plus $10 per day. The

NNADVOKAT [17]

Answer:

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Step-by-step explanation:

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3 years ago

A line with a slope of –2 passes through the point (–4, 8). What is the equation of the slope-intercept form?

zloy xaker [14]

Answer:

y= -2x

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Given that the slope is -2, m= -2.

subst. m= -2 into the equation:

y= -2x +c

To find the value of c, substitute a coordinate.

When x= -4, y=8,

8= -2(-4) +c

8= 8 +c (expand)

c= 8-8 (-8 on both sides)

c=0 (simplify)

Thus, the equation of the line is y= -2x.

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3 years ago