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Thepotemich [5.8K]
3 years ago
12

Is 1 + 4 (3x - 10) - 12 equivalent to -9

Mathematics
1 answer:
Phoenix [80]3 years ago
6 0

Answer:

No.The answer should be -4.1

Step-by-step explanation:

1+4(3x-10)-12

5(3x-10)-12

15x-50-12

15x-62

x=-62/15

x=-4.1

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the birth rate in a certain country in 1994 was 14,6 birthd per thousand population. in 2004 the birth rate was 14.32 per thousa
amm1812

Answer:

y(x)=-0.028x+14.6

Step-by-step explanation:

Birth Rate in 1994 =  14.6 births per thousand population.

Birth Rate in 2004 =  14.32 births per thousand population.

A linear equation is of the form: y=mx+c

Where:

  • x=years after 1994
  • y=the birth rate
  • m=Yearly Birth Rate

First, we determine the birth rate per year

m=\dfrac{14.32-14.6}{10-0}\\=\dfrac{-0.28}{10}\\m=-0.028

Therefore, a linear equation that relates y in terms of x is of the form:

y(x)=-0.028x+c

When x=0, y=14.6

14.6=-0.028(0)+c

c=14.6

Therefore, the linear equation that relates y in terms of x is:

y(x)=-0.028x+14.6

4 0
3 years ago
Secant jkl and jmn are drawn to circle o from an external point ,j. if jk=8,lk=4 and jm=6 what is the length of jn answer
Archy [21]
See the picture attached to better understand the problem

we know that
If two secant segments are drawn to a <span>circle </span><span>from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.
</span>so
jl*jk=jn*jm------> jn=jl*jk/jm

we have
<span>jk=8,lk=4 and jm=6
</span>jl=8+4----> 12

jn=jl*jk/jm-----> jn=12*8/6----> jn=16

the answer is
jn=16

6 0
3 years ago
Omar has 2 3/4 cup of Joe to make dumplings. If he uses 3/16 cup of Joe for each dumpling how many whole dumplings can Omar make
Fiesta28 [93]

Answer:

44/3 or 14 and 2/3

Step-by-step explanation:

First convert 2 and 3/4 in a improper fraction which gives you 11/4.

Next, you divide 11/4 and 3/16.

It will give you 44/3 which can be 14 and 2/3.

6 0
3 years ago
Use Pascal’s Triangle to determine the fifth term of the expansion of (x + 3)7
ValentinkaMS [17]

Answer:

2835x^5.

Step-by-step explanation:

By Binomial Theorem, T(r+1) = nCr * a^(r+1) * b^r.

Term 5 = 7C4 * x^5 * 3^4

= 35 * x^5 * 3^4

= 2835x^5.

7 0
3 years ago
Colin drew the floor plan of his bedroom shown below. What is the area of his bedroom in square feet?
labwork [276]
512 because multiply each number together
4 0
2 years ago
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