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RideAnS [48]
3 years ago
6

(-x+3)-(x-5) please show work​

Mathematics
1 answer:
Lina20 [59]3 years ago
5 0

simplify each term

apply the distributive property

-X+3+(-X- -5)

multiple -1 by -5

-X+3+(-x+5)

remove unnecessary parentheses

-x+3-×+5

subtract x from -x

-2x+3+5

add 3 and 5.

-2x+8

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Find x so that x, X +2, X'+3 are the first three terms of a geometric sequence. Then find the 5" term of the
velikii [3]

Answer:

The fifth term is -1/4.

Step-by-step explanation:

We know that the first three terms of the geometric sequence is <em>x, x</em> + 2, and <em>x </em>+ 3.

So, our first term is <em>x</em>.

Then our second term will be our first term multiplied by the common ratio <em>r</em>. So:

x+2=xr

And our third term will be our first term multiplied by the common ratio <em>r</em> twice. Therefore:

x+3=xr^2

Solve for <em>x</em>. From the second term, we can divide both sides by <em>x: </em>

\displaystyle r=\frac{x+2}{x}

Substitute this into the third equation:

\displaystyle x+3=x\Big(\frac{x+2}{x}\Big)^2

Square:

\displaystyle x+3 = x\Big( \frac{(x+2)^2}{x^2} \Big)

Simplify:

\displaystyle x+3=\frac{(x+2)^2}{x}

We can multiply both sides by <em>x: </em>

x(x+3)=(x+2)^2

Expand:

x^2+3x=x^2+4x+4

Isolate the <em>x: </em>

-x=4

Hence, our first term is:

x=-4

Then our common ratio <em>r</em> is:

\displaystyle r=\frac{(-4)+2}{-4}=\frac{-2}{-4}=\frac{1}{2}

So, our first term is -4 and our common ratio is 1/2.

Then our sequence will be -4, -2, -1, -1/2, -1/4.

You can verify that the first three terms indeed follow the pattern of <em>x</em>, <em>x</em> + 2, and <em>x</em> + 3.

So, our fifth term is -1/4.

4 0
3 years ago
Solve using foil method (x+9)(x+9)
Fudgin [204]
X^2+9x+9x+81
x^2+18x+81
for factoring it
3 0
3 years ago
Simplify the expression 6h+​(−8.7d​)−13+6d−3.3h.<br> 6h+​(−8.7d​)−13+6d−3.3h=
mezya [45]

Answer:

 -2.7d+2.7h-13

6 0
3 years ago
At the grocery store 1/5 of the groceries are produce. Of the produce 2/3 is vegetables. What fraction of the groceries in the g
netineya [11]
If you have 1/5 and 2/3, you need a common denominator to even do anything. So three and five both go into 15, so then you do 2 times 5, cause 3 times 5 is 15. And 1 times 3, cause 3 times 5 is 15. So you end up with 3/15 as produce, and 10/15 as vegetables. So, then you divide the fractions, 1/5 divided by 10/15, which is the same as 1/5 times 15/10. So your answer is 3/10 of the produce is vegetables.
8 0
3 years ago
-2x - 35 = 9 - 4x answers
dangina [55]
The answer is x=22 !!!
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2 years ago
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