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slava [35]
3 years ago
5

The product of 4 and a number f decreased by 2 is 15

Mathematics
2 answers:
Debora [2.8K]3 years ago
7 0

Answer:  The number is:  "2 " .

__________________________________________

Step-by-step explanation:

__________________________________________

Write the expression; which is an equation, as follows:

__________________________________________

    " 4x − 12 = 2(-x) " ;  in which "x" represents "the number for which we shall                                       solve" .

___________________________________________

Note:  

If the "number" = "x" ;  the "opposite of the number"  =  " -x " ;

___________________________________________

Rewrite as:  " 4x − 12 = -2x " ;

_____________________________________________

    →  Add "12" ; & add "2x" ; to EACH SIDE of the equation:

                     4x − 12 + 12 + 2x = -2x + 12 + 2x ;

          to get:    6x  = 12  ;

____________________________________________________

Now, divide each side of the equation by "6" ;

    to isolate "x" on one side of the equation; & to solve for "x" ;

____________________________________________________

                        6x / 6  =  12 / 6 ;

                   to get:    x = 2 .

____________________________________________________

Answer:  The number is:  "2 " .

____________________________________________________

Let us check our answer, by plugging in "2" for "x" in our original equation:

_____________________________________________________

       →   " 4x − 12 = 2(-x) " ;

 Let us plug in "2" for "x" ; to see if the equation holds true; that is; if both side of the equation are equal; when "x = 2" ;

       →   " 4(2) − 12 = ?  2(-2) ??

       →    8 − 12 = ?  -4 ? ;

       →    -4 = ? -4 ??  Yes!

__________________________________________________    

siniylev [52]3 years ago
4 0

Answer:

4f - 2 = 15

Step-by-step explanation:

  • product of 4 and a number f: 4 × f or 4f
  • decreases by 2: - 2
  • is 15: = 15

Therefore, the answer is 4f - 2 = 15.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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Find the surface area of a square pyramid with a base length of 24 cm and a height of 16 cm. Explain how you solved the problem.
icang [17]

Answer:

the answer b

Step-by-step explanation:

[surface area]=[area of 4 triangles sides]+[area of square base]

[area of square base]=24*24--------> 576 cm²

[area of one triangles side]

l=slant height

l²=16²+12²-------> l²=400-----------> l=20 cm

[area of one triangles side]=24*20/2--------> 240 cm²

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6 0
2 years ago
. f(x) = Square root of quantity x plus nine. ; g(x) = 8x - 13 Find f(g(x)). (1 point)
charle [14.2K]

Answer:

2 sqrt(2x-1)

Step-by-step explanation:

f(x) = sqrt( x+9)

g(x) = 8x-13

f(g(x))

place the function g(x) in for x in f(x)

f(g(x)) = sqrt(8x-13+9)

Combine like terms

f(g(x)) = sqrt(8x-4)

Factor out 4

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5 0
3 years ago
Read 2 more answers
What is the answer: 15 + 22(4 + 11) = x
kupik [55]
15+22(4+11)=x
4+11=15
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3 0
3 years ago
Read 2 more answers
A manufacturer produces a commodity where the length of the commodity has approximately normal distribution with a mean of 6.5 i
zavuch27 [327]

The probablity that the sample's mean length is greate than 6.3 inches is0.8446.

Given mean of 6.5 inches,standard deviation of 0.5 inches and sample size of 46.

We have to calculate the probability that the sample's mean length is greater than 6.3 inches is 0.8446.

Probability is the likeliness of happening an event. It lies between 0 and 1.

Probability is the number of items divided by the total number of items.

We have to use z statistic in this question because the sample size is greater than 30.

μ=6.5

σ=0.5

n=46

z=X-μ/σ

where μ is mean and

σ is standard deviation.

First we have to find the p value from 6.3 to 6.5 and then we have to add 0.5 to it to find the required probability.

z=6.3-6.5/0.5

=-0.2/0.5

=-0.4

p value from z table is 0.3446

Probability that the mean length is greater than 6.3inches is 0.3446+0.5=0.8446.

Hence the probability that the mean length is greater than 6.3 inches is 0.8446.

Learn more about probability at brainly.com/question/24756209

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