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4 years ago

Which number line represents the solutions to |x + 4| = 2?

Mathematics

2 answers:

Molodets [167]4 years ago

7 0

Answer:

-2,-6

Step-by-step explanation:

|x+a|=b

x+a=±b

|x+4|=2

x+4=±2

when x+4=2

x=2-4=-2

when x+4=-2

x=-2-4=-6

Nutka1998 [239]4 years ago

3 0

Answer:

-2 + 4 = 2

Step by Step Explanation:

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I honestly need help on this...I tried to work it out but I just don’t know where to start...

Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

1) The sum of angles on a straight line is 180 degrees. Therefore

75 + a + 70 = 180

145 + a = 180

a = 180 - 145 = 35 degrees

2) Sum of the angles in a triangle is 180 degrees. Therefore,

a + b + 95 = 180

35 + b + 95 = 180

130 + b = 180

b = 180 - 130 = 50 degrees

3) c + 95 = 180 degrees (sum of angles on a straight line).

c = 180 - 95 = 85 degrees

4) 70 + c + d = 180 degrees

70 + 85 + d = 180

155 + d = 180

d = 180 - 155 = 25 degrees

5) e = 75 degrees

6) f + e + 75 = 180 degrees

f + 75 + 75 = 180

f + 150 = 180

f = 180 - 150 = 30 degrees

4 0

3 years ago

1/6(x+6)=11 whats the x??

Katarina [22]

Answer:

Step-by-step explanation:

1/6(x+6)=11

1/6x+1=11

1/6x=11-1

1/6x=10

1/6/1/6=10/1/6

10x6=60

pls brainliest

7 0

3 years ago

Use multiplication or division of power series to find the first three nonzero terms in the Maclaurin series for the function. (

Mrrafil [7]

Answer:

So, the first three nonzero terms in the Maclaurin series are:

$6, \, 27x^2, \, \frac{405x^4}{4}.$

Step-by-step explanation:

From exercise we have the next function y = 6 sec(3x).

We know that Maclaurin series for the function sec x, have the following form:

$\sec x=1+\frac{x^2}{2}+\frac{5x^4}{24}+...$

So, for the given function y = 6 sec(3x), we get:

$y = 6 \sec(3x)=6+27x^2+\frac{405x^4}{4}+...$

So, the first three nonzero terms in the Maclaurin series are:

$6, \, 27x^2, \, \frac{405x^4}{4}.$

6 0

3 years ago

Please answer this multiple choice question CORRECTLY for 30 points and brainliest!!

JulijaS [17]

Solve the inequality for x:

5x - 3 ≤ 7x +7

Subtract 7x from each side:

-2x -3 ≤ 7

Add 3 to each side:

-2x ≤ 10

Divide both sides by -2, also when dividing both sides of an inequality you flip the direction of the inequality sign:

x ≥ -5

The dot will be on -5, because the inequality includes equal to, the dot is solid and is greater than, the arrow will point to the right.

The correct answer is D.

4 0

4 years ago

See image attached below keeeeeeeeeeeeeeeeeeeed

emmasim [6.3K]

Answer:

.13%

68.26%

2.28%

47.72%

49.87%

34.13%

Step-by-step explanation:

1.) standardize by subtracting the mean and dividng by the standard deviation

(625-1000)/125= -3

go to a ztable to get .0013 or (1-.9987)

this is equal to .13%

2.)

875<x<1125

standardize both seperately and subtract them

(875-1000)/125= -1 whose probability is .1587 (or 1-.8413)

(1125-1000)/125= 1 whose probability is .8413

.8413-.1587= 68.26%

3.)

Find the probability that someone paid less than 1250 and take its compliment

(1250-1000)/125= 2 which has a probability of .9772

take its compliment (1-.9772)= .0228= 2.28%

4.)

Same process as question 2

(750-1000)/125= -2 which has a probability of (1-.9772) = .0228

(1000-1000)/125= 0 which has a probability of .5

.5-.0228= .4772= 47.72%

5.) same deal as the previous question

(625-1000)/125= -3 which has a probability of (1-.9987)= .0013

(1000-1000)/125= 0 which has a probability of .5

.5-.0013= .4987= 49.87%

6.)same deal the previous question

(875-1000)/125= -1 which has a probability of (1-.8413)=.1587

(1000-1000)/125= 0 which has a probability of .5

.5-.1587= .3413= 34.13%

4 0

3 years ago