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sergey [27]
3 years ago
15

--->WORTH 50 POINTS <--- Question in the attachment below. I will give brainiest to best answer. Please show work.

Mathematics
2 answers:
notsponge [240]3 years ago
7 0
Hi there

Root=0.5 means x=0.5

Plug in 0.5 for x
(b-5)0.5^2-(b-2)0.5+b=0
(b-5)0.25-(b-2)035+b=0
Simplify
0.75b-2.25=0
b=3

Hope this helps
soldi70 [24.7K]3 years ago
3 0
Hi there
X=0.5
B=3
I have added a pic with the working out

Hope this help

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Which two winding rates represent a unit rate 2/3 of foot per second?
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Neeta is a fourth grader. She is 4 feet 7 inches tall. When she was bom she was 17 inches long. How much has Neeta grown since s
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A

Step-by-step explanation:

First, find Neeta's total height in inches:

4 feet in inches is 4*12, which equals 48

Add the other 7 inches of her height to get 55 inches.

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55 - 17 = 38. That is how many inches she has grown. Convert that to feet by dividing 38 by 12.

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3 0
3 years ago
A landscaper has enough cement to make a patio with an area of 150 Sq ft. The homeowner wants the length of the patio to be 6 ft
Natasha_Volkova [10]
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4 0
3 years ago
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
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