Solve for x: −3|2x + 6| = −12 A.) x = 1 and x = 5
B.) x = −1 and x = −5
C.) x = −9 and x = 3
D.) No solution

Answers

Answer 1

Answer: Since this is an equation involving an absolute value, let 2x + 6 be positive first such that,

-3(2x + 6) = -12
2x + 6 = 4
2x = -2, x = -1
Then, let 2x + 6 be negative,
-3(-2x - 6) = -12
-2x - 6 = 4
-2x = 10 ; x = -5
Thus, the answer to this item is letter B.

Answer 2

Answer: $-3|2x + 6| = -12 \n|2x+6|=4\n2|x+3|=4\n|x+3|=2\nx+3 =-2 \vee x+3=2\nx=-5 \vee x=-1$

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Segment addition postulate. Trying to help my son figure out how to solve. Given AC=39. A=2x-8, B=x×17. Find X, AB AND BC. We got 25 for X, and 42 for both AB, BC. Its not correct. 42+42 does not equal 39.

Answers

segment addition postulate says
AB+BC=AC

assuming that A, B, C are in order, and assuming that those are the points,

legnth of AC=|A-C|=39 (|x| means absolute value of x)

A=2x-8
b=17x
AB=|A-B|=|2x-8-17x|=|-8-15x|

we are only given AB but not BC so this is not solvable unless you know BC
AB+BC=AC
BC=AC-AB

BC=39-|-8-15x|
that's as far as I can go since we don't know any more

Grace is looking at a report of her monthly cell-phone usage for the last year to determine if she needs to upgrade her plan. The list represents the approximate number of megabytes of data Grace used each month.700, 735, 680, 890, 755, 740, 670, 785, 805, 1050, 820, 750

What is the standard deviation of the data? Round to the nearest whole number.

65

75

100

130

Answers

In order to find the standard deviation, we first have to calculate the mean (average) of the numbers. To get this we add all the numbers together and then divide by 12 since there are 12 numbers. The mean = 782. Next, we take each number and subtract the mean, taking the result and squaring it. For this we get: 6724, 2209, 10404, 11664, 729, 1764, 12544, 9, 529, 71824, 1444, 1024. Now we sum all of these up and take the average by dividing the sum by 12. Doing this we get 120868/12=10072. The last step is the take the square root of that number to get the standard deviation. The final result is 100.

The standard deviation of the given set is:

S = 130.

How to get the standard deviation?

Here we have the set:

{700, 735, 680, 890, 755, 740, 670, 785, 805, 1050, 820, 750}

First, we need to get the mean of the set which is:

$M = (700 + 735 + 680 + 890 + 755 + 740 + 670 + 785 + 805 + 1050 + 820 + 750)/(12) = 704.17$

Then the standard deviation is:

$S = \sqrt{((700 - 704.17)^2 + (735 - 704.17)^2+ (680 - 704.17)^2 + ... + (820 - 704.17)^2 + (750 - 704.17)^2)/(12)} = 129.5$

So we conclude that the standard deviation, rounded to the next whole number, is S = 130

If you want to learn more about standard deviation:

brainly.com/question/475676

#SPJ2

Can someone tell me if I did this right? Given b = 12, c = 15 and A = 60° in triangle ABC, use the Law of Cosines to solve for a. Fill in the blank(s) to complete each step. If applicable, be sure to enter all decimal numbers with a zero in the ones place. Round your final answer to the nearest hundredth.

Answers

Answer:

a=13.74 units

Step-by-step explanation:

Given are two sides and angle of a triangle ABC

use cosine formula for triangles

$a^2=b^2+c^2-2bccosA\n=144+225-360(0.5)\n=369-180\n=189$

Now we got the square of the third side

Take square root and round off to two decimals to get exact value of a

a =13.74 units

Note: In a triangle, if 3 independent dimensions are known we can find out all missing sides and angles using sine formula or cosine formula

a^2= b^2+c^2 - 2bc.cosA

a^2= (12)^2 + (15)^2 - 2 x 12 x 15 cos60

a^2= 144+225 - 2 x 12 x 15 x 0.5

a^2 = 369 - 180

a^2= 189
now take the square root of both sides.. :)

so a = 13.74 :)

Which is warmer -13⁰c or -10⁰c?

Answers

Answer:

-10°C

Step-by-step explanation:

if you like my solution

please give me Brainliest.

Answer:

-10°C

Step-by-step explanation:

To celebrate the first day of school, Reagan brought in a tray of caramel brownies and walnut brownies. The tray had a total of 20 brownies, of which 10% were caramel. How many caramel brownies did Reagan bring?

Answers

Answer:

18 I think

Step-by-step explanation:

Answer:

Step-by-step explanation:

Reagan brought 2 caramel brownies.

Solve using a proportion.

$(?)/(20)$ = $(10)/(100)$

You're trying to find how many brownies he brought were caramel. We know Reagan brought a total of 20 brownies. Therefore since you don't know how many caramel brownies he brought, the fraction would be ?/20. Next, you know he brought brownies in which 10% were caramel. In proportions, the denominator would be 100% since that is the total percentage. Therefore, the proportion would be 10%/100%. Now we just have to cross multiply.

Proportion:

$(?)/(20)$ = $(10)/(100)$

10 x 20 = 200

200/100= 2

Thus, Reagan brought 2 caramel brownies.

Find the constant proportionality for the ratio 2/5

Answers

Answer:

constant of proportionality is $(2)/(5)$

Step-by-step explanation:

The direct proportionality says that:

$y \propto x$

then the equation is in the form of:

$y = kx$ .......[1]

where, k is the constant of proportionality.

As per the statement:

Given the ratio 2/5

i.e,

$(y)/(x) = (2)/(5)$

then using [1] we have;

$(y)/(x)=k$

⇒ $(2)/(5) = k$

$k= (2)/(5)$

Therefore, the constant of proportionality for the ratio of 2/5 is; $(2)/(5)$

The "constant of proportionality" is the value that relates the two amountsExample: you are paid $20 an hour (continued)The constant of proportionality is 20 because:Earnings = 20 × Hours worked

This can be written: y = kx

Where k is the constant of proportionality

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