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2 years ago

Help me simplify! -6 - 8(1 - x) = -14 + 8x

1 answer:

5 0

The answer: The equation is true. x = all real numbers.
_____________________________________________
Given:
_________________________________
-6 − 8(1 <span>− x) = -14 + 8x ;
_________________________________
Note the "distributive property of multiplication" :
_______________________________________________a(b+c) = ab + ac ;
a(b−c) = ab − ac ;_______________________________________________As such:_______________________________________________ -8(1 − x) = (-8 * 1) − (-8*x) = (-8) − (-8x) = -8 + 8x

→ So, rewrite the original equation, substituting: "-8 + 8x" for: "−8(1 − x)" :

→ - 6 − 8 + 8x = -14 + 8x ;</span>
Note: -6 − 8 = -14 ;

Rewrite as:
_____________________________

-14 + 8x = -14 + 8x ;
____________________________________

The answer: The equation is true. x = all real numbers.
_____________________________________________

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Which expression is equivalent to (x+4)^2

Inessa05 [86]

Answer:

(x+4)(x+4)

Step-by-step explanation:

5 0

3 years ago

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What multiplies to 16 and adds to negative 12

Romashka-Z-Leto [24]

Factor 16 and see the - factor pairs and add them, see which add to -12
-1-16=-17 nope
-2-8=-10 nope
-4-4=-8
hmm

we will solve with math
xy=16
x+y=-12
minus x both sides
y=-12-x
sub for y in other equation
x(-12-x)=16
-12x-x^2=16
add 12x+x^2 both sides
0=x^2+12x+16
use quadratic formula
if you have
ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}$

0=x^2+12x+16
a=1
b=12
c=16

x= $\frac{-12+/- \sqrt{12^{2}-4(1)(16) }}{2(1)}$
x= $\frac{-12+/- \sqrt{144-64 }}{2}$
x= $\frac{-12+/- \sqrt{80}}{2}$
x= $\frac{-12+/- 4\sqrt{5}}{2}$
x= $\frac{-6+/- 2\sqrt{5}$
x= $\frac{-6+ 2\sqrt{5}$ or $\frac{-6- 2\sqrt{5}$

aprox
x=-1.52786 or -10.4721

those are the numbers

the numbes are -1.52786 or -10.4721

6 0

3 years ago

Read 2 more answers

Square root for 9/100

Leno4ka [110]

$\sqrt{a}=b\iff b^2=a\ for\ a\geq0\ and\ b\geq0.\\\\\sqrt{\dfrac{9}{100}}=\dfrac{\sqrt9}{\sqrt{100}}=\dfrac{3}{10}$

5 0

2 years ago

1 2/6 as an improper fraction

gladu [14]

Answer:

=4/3

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

6 × 1 = 6

Step 2

Add the answer from Step 1 to the numerator

6 + 2 = 8

Step 3

Write answer from Step 2 over the denominator

8/6

=86

You can also reduce this fraction.

Find the Greatest Common Factor (GCF) of 8 and 6, if it exists, and reduce our fraction by dividing both numerator and denominator by it,

GCF = 2

=8÷2=4

6/2=3

Simplified Solution

=6×1+2/6 =8/6=4/3

hope this helps

you welcome and thanks

3 0

3 years ago

Can u guys help me on this?

Nadusha1986 [10]

Answer:

r = 6 m

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

Substitute in what we know

37.68 = 2 * 3.14 * r

37.68 = 6.28 r

Divide each side by 6.28

37.68/6.28 = 6.28 r/6.28

6 = r

7 0

3 years ago