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2 years ago

Solve for x: -2x+14=20

Mathematics

2 answers:

stiv31 [10]2 years ago

8 0

Answer:

x = -3

Step-by-step explanation:

-2x + 14 = 20

Subtract 14 from each side.

-2x = 6

Divide both sides by -2

x = -3

Tatiana [17]2 years ago

7 0

Answer:

-3

Step-by-step explanation:

First, subtract 14 from 20. 20-14=6. And then divide -2 on each side. You then have to do 6/-2, when a postive number divides a negative, you change the sign. So you would get x=-3

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What is the 8th term of the geometric sequence a2 = 20 and r = 5

algol [13]

Answer:

8th term of geometric sequence is 312500

Step-by-step explanation:

Given : $a_2=20$ and common ratio (r) = 5

We have to find the 8th term of the geometric sequence whose $a_2=20$ and common ratio (r) = 5

Geometric sequence is a sequence of numbers in which next term is found by multiplying by a constant called the common ratio (r).

$a_n=ar^{n-1}$ ......(1)

where $a_n$ is nth term and a is first term.

For given sequence

a can be find using $a_2=20$ and r = 5

Substitute in (1) , we get,

$a_2=ar^{2-1}$

$\Rightarrow 20=a(5)$

$\Rightarrow a=4$

Thus, 8th term of the sequence denoted as $a_8$

Substitute n= 8 in (1) , we get,

$a_8=ar^{8-1} \\\\a_8=(4)r_{7} \\\\a_8=4(5)^7=4 \times 78125=312500$

Thus 8th term of geometric sequence is 312500

8 0

3 years ago

The numbers 2/1/3,h,k,7/7/8 firm a geometric progression. find the value of h and of k

taurus [48]

$\text{We have }\ 2\dfrac{1}{3},\ h,\ k,\ 7\dfrac{7}{8}.\\\\\text{Convert the mixed numbers to the improper fractions}\\\\2\dfrac{1}{3}=\dfrac{2\cdot3+1}{3}=\dfrac{7}{3}\\\\7\dfrac{7}{8}=\dfrac{7\cdot8+7}{8}=\dfrac{63}{8}\\\\\text{If}\ a_1,\ a_2,\ a_3,\ a_4\ \text{is a geometric seqence, then:}\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=r\\\\a_2=a_1r\\\\\text{and}\ \dfrac{a_4}{a_1}=r^3\\\\\text{Substitute:}$

$r^3=\dfrac{\frac{63}{8}}{\frac{7}{3}}\\\\r^3=\dfrac{63}{8}\cdot\dfrac{3}{7}\\\\r^3=\dfrac{9\cdot3}{8\cdot1}\\\\r^3=\dfrac{27}{8}\to r=\sqrt[3]{\dfrac{27}{8}}\\\\r=\dfrac{3}{2}\\\\h=2\dfrac{1}{3}\cdot\dfrac{3}{2}=\dfrac{7}{3}\cdot\dfrac{3}{2}=\dfrac{7}{2}\\\\k=\dfrac{7}{2}\cdot\dfrac{3}{2}=\dfrac{21}{4}\\\\Answer:\ \boxed{h=\dfrac{7}{2}=3\dfrac{1}{2}\ and\ k=\dfrac{21}{4}=5\dfrac{1}{4}}$

8 0

2 years ago

40% is NOT equivalent to....? A. 0.4 B.2/5 C.40/100 D. 0.04 E. None correct

fredd [130]

Answer:

Step-by-step explanation:

d is .04 percent plz mark branliest

6 0

2 years ago

Find x and y, given that KL and line MN are parallel. Show all work

Setler [38]

$\dfrac{|MN|}{|NJ|}=\dfrac{|KL|}{|LJ|}\\\\\dfrac{22}{12+8}=\dfrac{y}{8}\\\\\dfrac{22}{20}=\dfrac{y}{8}\ \ \ |cross\ multiply\\\\20y=22\cdot8\\\\20y=176\ \ \ |:20\\\\\boxed{y=8.8}$

$\dfrac{|MK|}{|KJ|}=\dfrac{|NL|}{|LJ|}\\\\\dfrac{x-2}{5}=\dfrac{12}{8}\ \ \ \ |cross\ multiply\\\\8(x-2)=5\cdot12\\\\8x-16=60\ \ \ |+16\\\\8x=76\ \ \ |:8\\\\\boxed{x=9.5}$

4 0

2 years ago

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Use the table to find the slope. -2 2 1/2 -1/2

Tresset [83]

Answer:

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Step-by-step explanation:

3 0

2 years ago