All categories

3 years ago

-15 = 3 + j equation

Mathematics

2 answers:

Ann [662]3 years ago

6 0

Answer:

j =12 so it would be -15=3+12

Step-by-step explanation:

musickatia [10]3 years ago

6 0

Answer:

J= -18

Step-by-step explanation:

Solve for j by simplifying both sides of the equation, then isolating the variable

You might be interested in

The sum of first three terms of a finite geometric series is -7/10 and their product is -1/125. [Hint: Use a/r, a, and ar to rep

Alchen [17]

Ooh, fun

geometric sequences can be represented as
$a_n=a(r)^{n-1}$
so the first 3 terms are
$a_1=a$
$a_2=a(r)$
$a_2=a(r)^2$

the sum is -7/10
$\frac{-7}{10}=a+ar+ar^2$
and their product is -1/125
$\frac{-1}{125}=(a)(ar)(ar^2)=a^3r^3=(ar)^3$

from the 2nd equation we can take the cube root of both sides to get
$\frac{-1}{5}=ar$
note that a=ar/r and ar²=(ar)r
so now rewrite 1st equation as
$\frac{-7}{10}=\frac{ar}{r}+ar+(ar)r$
subsituting -1/5 for ar
$\frac{-7}{10}=\frac{\frac{-1}{5}}{r}+\frac{-1}{5}+(\frac{-1}{5})r$
which simplifies to
$\frac{-7}{10}=\frac{-1}{5r}+\frac{-1}{5}+\frac{-r}{5}$
multiply both sides by 10r
-7r=-2-2r-2r²
add (2r²+2r+2) to both sides
2r²-5r+2=0
solve using quadratic formula
for $ax^2+bx+c=0$
$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$
so
for 2r²-5r+2=0
a=2
b=-5
c=2

$r=\frac{-(-5) \pm \sqrt{(-5)^2-4(2)(2)}}{2(2)}$
$r=\frac{5 \pm \sqrt{25-16}}{4}$
$r=\frac{5 \pm \sqrt{9}}{4}$
$r=\frac{5 \pm 3}{4}$
so
$r=\frac{5+3}{4}=\frac{8}{4}=2$ or $r=\frac{5-3}{4}=\frac{2}{4}=\frac{1}{2}$

use them to solve for the value of a
$\frac{-1}{5}=ar$
$\frac{-1}{5r}=a$
try for r=2 and 1/2
$a=\frac{-1}{10}$ or $a=\frac{-2}{5}$

test each
for a=-1/10 and r=2
a+ar+ar²= $\frac{-1}{10}+\frac{-2}{10}+\frac{-4}{10}=\frac{-7}{10}$
it works

for a=-2/5 and r=1/2
a+ar+ar²= $\frac{-2}{5}+\frac{-1}{5}+\frac{-1}{10}=\frac{-7}{10}$
it works

both have the same terms but one is simplified

the 3 numbers are $\frac{-2}{5}$ , $\frac{-1}{5}$ , and $\frac{-1}{10}$

6 0

3 years ago

What does 3 and 16 go into 10,100 or 1,000

lesya692 [45]

I think they both go into 10,000 bases of the calculations from the calculator on my phone

7 0

2 years ago

sal is making bracelets for a fundraiser. He uses 6 inch yarn per bracelet. How many bracelets can sal make with 5 feet of yarn?

DedPeter [7]

I think the correct answer should be 10

12 inches = 1 foot
12/6 = 2
5*2 = 10

6 0

3 years ago

Read 2 more answers

The walking paths at a park meet each other as shown. What is the measure of the angle between the Second Path and Third Path (r

jeka57 [31]

Answers:

41.25°

Step-by-step explanation:

Second path ahd third path intersecting form the angle with measure 3x-1.

Three angles 3x-1, 9x-7 and 19° together form straight angle.

7 0

2 years ago

Pls help its timed no fake answers i cant afford to fail

SOVA2 [1]

Answer:

It's B, I tried using mathaway and that's the closest to the answer I got. Try it. I always use mathaway for any math problems, use that for now on if you're stuck

Step-by-step explanation:

8 0

2 years ago

-15 = 3 + j equation​

-15 = 3 + j equation