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3 years ago

Help please..........

Mathematics

1 answer:

dem82 [27]3 years ago

3 0

Answer:

Step-by-step explanation:

x is greater then -2

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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 x, x + 2, and x + 3.

So, our first term is x.

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

$x+2=xr$

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

$x+3=xr^2$

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

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

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 x:

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

Expand:

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

Isolate the x:

$-x=4$

Hence, our first term is:

$x=-4$

Then our common ratio r 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 x, x + 2, and x + 3.

So, our fifth term is -1/4.

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3 years ago

A baseball player throws a ball from second base to home plate. How far does the player throw the ball? Include a diagram showin

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84.85 feet
Explanation:

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3 years ago

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A sporting goods stores sells footballs, basketballs, and volleyballs. A football costs $35, a basketball costs

wlad13 [49]

Answer:

The number of footballs, basketballs and volleyballs were sold are 75, 36 and 15 respectively.

Step-by-step explanation:

Consider the provided information.

A football costs $35, a basketball costs $25 and a volleyball costs $15.

Let F represents the football, B represents the basketball and V represents the volleyball.

On a given day, the store sold 5 times as many footballs as volleyballs.

$F=5V$ ......(1)

They brought in a total of $3750 that day,

$35F+25B+15V=3750$ ......(2)

The money made from basketballs alone was 4 times the money.

$25B=4(15V)$ ......(3)

By equation 1, 2 and 3.

$35(5V)+4(15V)+15V=3750$

$250V=3750$

$V=15$

Substitute the value of V in equation 1 and 3.

$F=5(15)=75$

$25B=4(15\times 15)\\B=36$

Hence, the number of footballs, basketballs and volleyballs were sold are 75, 36 and 15 respectively.

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3 years ago

What is point-slope form? When can you use point-slope form? How is it useful?

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After solving an equation in Point Slope Form, you're directly given the slope intercept form which is y=mx +b

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How many triangles can be constructed with angles measuring 80º, 80º, and 40º?

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A. none it is oveer 180 and a triangle must equal 180 degrees

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