All categories

3 years ago

(10x + 10) (6x-8) What is the value of x?

Mathematics

1 answer:

suter [353]3 years ago

8 0

Answer:

x= -9/2

Step-by-step explanation:

(10x+10)=(6x-8)

10x-6x+10=-8

10x-6x=-8-10

4x=-18

x= -9/2

You might be interested in

The largest side of a triangle is six more units than the smallest side. The third side is twice the smallest side. If the perim

svetlana [45]

Equation: x + x + 6 = 2x = 25
smallest side is 4.75 units
largest size is 4.75 + 6 = 10.75 units
3rd side is 2(4.75)= 9.5 units

smallest side is x
largest size is x + 6
3rd side is 2x
-----------------------------------
4x + 6 = 25
-6 -6
4x = 19
 4 4

x = 4.75 is the smallest side

smallest side is 4.75 units
largest size is 4.75 + 6 = 10.75 units
3rd side is 2(4.75)= 9.5 units

7 0

2 years ago

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

Which are whole numbers ? 0,4,-2,2/3,-1.8,16,3.2,-5/4

Rasek [7]

Answer:

0,4,16

Step-by-step explanation:

i hope that helps

7 0

2 years ago

Read 2 more answers

a certain parrot medicine comes in 5 gram bottles. natalie's parrot needs 250 mg of this medicine every day.if natalie buys one

Genrish500 [490]

Answer:50

Step-by-step explanation:

7 0

3 years ago

Rations

Ray Of Light [21]

What?wait a minute I think it’s 365

6 0

2 years ago