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3 years ago

2x + 12 = -2(4-2x) X=10 X=-10 X=-5 X=5

Mathematics

2 answers:

Greeley [361]3 years ago

6 0

Answer:

$\boxed{x = 10}$

Step-by-step explanation:

$= > 2x + 12 = - 2(4 - 2x) \\ \\ = > 2x + 12 = (( - 2) \times 4) - (( - 2) \times 2x) \\ \\ = > 2x + 12 = - 8 - ( - 4x) \\ \\ = > 2x + 12 = - 8 + 4x \\ \\ = > 2x - 4x + 12 = - 8 \\ \\ = > - 2x + 12 = - 8 \\ \\ = > - 2x = - 8 - 12 \\ \\ = > \cancel{-} 2x = \cancel{- }20 \\ \\ = > 2x = 20 \\ \\ = > x = \frac{20}{2} \\ \\ = > x = 10$

fomenos3 years ago

6 0

The first one is x=10

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Giovanna,Frances, and their dad each carried a ten pound bag of soil into the back yard. After putting soil in the first flower

Greeley [361]

First find the common denominator
5/8=25/40
2/5=16/40
3/4=30/40
Next you can cross multiply
25/40=x/10 pounds
16/40=x/10 pounds
30/40=x/10 pounds
First
25(10)/40= 6.25 pounds
16(10)/40= 4pounds
30(10)/40= 7.5 pounds
These are the amounts that were left in the bag

10-6.25=3.75
10-4=6
10-7.5=2.5

3.75+6+2.5= 12.25

All together they put 12.25 pounds of soil in the flower bed

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3 years ago

Read 2 more answers

A storm Flori performance most of the daily unit counts but the owner personally recorded that there was 61 units remaining afte

Kruka [31]

Answer:

y = -2.8x +69.4

Step-by-step explanation:

The 2-point form of the equation of a line can be used to find the equation of the line through points (3, 61) and (13, 33). The general form of it is ...

y = (y2-y1)/(x2-x1)·(x -x1) +y1

For the given points, this is ...

y = (33 -61)/(13 -3)·(x -3) +61

y = -28/10(x -3) +61

y = -2.8x +69.4 . . . . . the equation of the line through the given points

_____

<em>Comment on the problem</em>

A "line of best fit" is one that minimizes some measure of deviation from the line. Usually, what is minimized is the square of the deviations. Choosing two points to draw the line through may be convenient, but does not necessarily result in a line of best fit.

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3 years ago

A local company makes a candy that is supposed to weigh 1.00 ounces. A random sample of 25 pieces of candy produces a mean of 0.

AysviL [449]

Answer:

$n=(\frac{2.58(0.004)}{0.001})^2 =106.50 \approx 107$

So the answer for this case would be n=107 rounded up to the nearest integer

Step-by-step explanation:

Information given

$\bar X= 0.996$ the sample mean

$s=0.004$ the sample deviation

$n =25$ the sample size

Solution to the problem

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =0.001 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

We can use as estimator of the real population deviation the sample deviation for this case $\hat \sigma = s$ / The critical value for 99% of confidence interval is given by $z_{\alpha/2}=2.58$ , replacing into formula (b) we got:

$n=(\frac{2.58(0.004)}{0.001})^2 =106.50 \approx 107$

So the answer for this case would be n=107 rounded up to the nearest integer

6 0

3 years ago

Solve for x: 3√5x² +25x-10√√5 = 0

bogdanovich [222]

Answer: x = - 2√5, √5/3

Step-by-step explantion

3 √ 5 x 2 + 25 x − 10 √ 5 = 0 35x2+25x−105=0

⇒ 3√5x2 + 30x – 5x – 10√5 = 0

⇒ 3√5x(x + 2√5) – 5(x + 2√5) = 0

⇒ (x + 2√5)(3√5x – 5) = 0

x = - 2√5, √5/3

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2 years ago

Read 2 more answers

Determine whether the sequence appears to be an arithmetic sequence. If so, find the common difference and the next three terms

guapka [62]

an aritmetic sequence increases by the same amount each time (if it decreases, then it increases by a negative number)

the common difference is the number that must be added to a term to get the next term

let's see if it increases by the same amount

-5 to -11 is increase of -6

-11 to -17 is increase of -6

-17 to -23 is increase of -6

-23 to -29 is increase of -6

so it appears to be aritmetic

common difference is -6

-29-6=-35

-35-6=-41

-41-6=-47

the next 3 terms are -35, -41, -47

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3 years ago