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Kipish [7]
3 years ago
14

Factor completely 2x2 + 2x − 24.

Mathematics
2 answers:
nalin [4]3 years ago
7 0

2x^2 + 2x - 24

= 2x^2 + 8x - 6x -24

= 2x(x + 4) -6(x + 4)

= (x+4)(2x-6)

Lina20 [59]3 years ago
5 0

Answer:

.

Step-by-step explanation:

The trick here is to notice that all 3 terms can be div. by 2:

2(x^2 + x - 12)

Note that -12 factors into -3 * 4 or -4 * 3.  Thus,

x^2 + x - 12 = (x-4)(x+3), and so 2x2 + 2x − 24 = 2(x-4)(x+3).

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Solve the system using elimination: Help me please<br><br><br>12x - 8y = -12 <br><br>6x + 4y = -30
LUCKY_DIMON [66]

12x - 8y = -12  

6x + 4y = -30

Multiply the 2nd equation by 2, to make the Y coefficients opposite:

6x + 4y = -30 x 2 = 12x + 8y = -60

Now add the two equations:

12x -8y = -12 + 12x +8y = -60

=  24x = -72

Divide bothe sides by 24 to solve for x:

x = -72/24

x = -3

Now replace x with -3 in the first equation to solve for y:

12(-3) - 8y = -12

-36 - 8y = -12

Add 36 to each side:

-8y = 24

Divide both sides by -8 to solve for y:

y = 24 / -8

y = -3

X = -3 and y = -3

(-3,-3)

4 0
3 years ago
Eight more than the quotient of a number and 4 equals 5
Lady bird [3.3K]
Well we can put that word problem into a equation so, 8+x/4=5. Now what I would do is move the 8 to the other side, and since it moved to the other side it becomes a -8 so now we have x/4 = -3. Now I would multiply both side by 4 to get x = -12

Answer= X = -12
3 0
3 years ago
How do you simplify this?
bezimeni [28]
I can't show you the square root but this is the answer simplified. 4 square roots of 6
5 0
3 years ago
Solve the following inequality.
Luden [163]
First simplify.
-\frac{2}{3}x \ \textgreater \  \mathrm{Multiply\:fractions}:\ \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c} \ \textgreater \  -\frac{2x}{3}

\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)} \ \textgreater \ \ \textgreater \  \frac{2x}{3}\ \textless \ -8

\mathrm{Multiply\:both\:sides\:by\:}3 \ \textgreater \  \frac{3\cdot \:2x}{3}\ \textless \ 3\left(-8\right) \ \textgreater \  Simplify \ \textgreater \  2x\ \textless \ -24

\mathrm{Divide\:both\:sides\:by\:}2 \ \textgreater \  \frac{2x}{2}\ \textless \ \frac{-24}{2} \ \textgreater \  Simplify \ \textgreater \  x\ \textless \ -12

Therefore\; x\ \textless \ -12 \;is\;our\;answer!

Hope this helps!
7 0
3 years ago
The following function represents the value of a motorcycle, in dollars, after x years: f(x) = 19,000(0.91)x
Semenov [28]

Answer:

Option C.The decrease in the value of the motorcycle, which is 9%

Step-by-step explanation:

we have a exponential function of the form

f(x)= ab^x

where

a is the initial value

b represents growth or decay factor

If b >1 then it is an exponential growth

if 0<b<1 then it is an exponential decay

In this problem

a=$19,000

b=0.91 -----> it is exponential decay factor

Find the rate of decrease r

b=(1-r)

substitute

0.91=1-r

r=1-0.91=0.09

Convert to percentage

0.09*100=9%

therefore

0.91 represent the decrease in the value of the motorcycle, which is 9%

7 0
3 years ago
Read 2 more answers
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