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trapecia [35]
2 years ago
15

rue or false? if false, give a reason.if we know the first and second terms of an arithmetic sequence, then we can find any othe

r term.
Mathematics
1 answer:
Nitella [24]2 years ago
6 0

True. using the first and second terms you can easily find the common difference by subtracting the first term from the second term. When you know the common difference you can then use it to find the other terms of the arithmetic sequence.

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In simplest radical form, what are the solutions to the quadratic equation 6 = x2 - 10/?
pickupchik [31]

Answer:

x = 5 \± \sqrt{31}

Step-by-step explanation:

Given

6 = x^2 - 10x

Required

The solution in radical form

6 = x^2 - 10x

Rewrite as:

x^2 - 10x - 6 = 0

Using the quadratic formula, we have:

x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

Where

a = 1

b = -10

c = -6

So, we have:

x = \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*(-6)}}{2*1}

x = \frac{10 \± \sqrt{100 +24}}{2*1}

x = \frac{10 \± \sqrt{124}}{2}

Split the roots

x = \frac{10 \± \sqrt{4 * 31}}{2}

Express \sqrt 4 as 2

x = \frac{10 \± 2\sqrt{31}}{2}

Split the fraction

x = \frac{10}{2} \± \frac{2\sqrt{31}}{2}

x = 5 \± \sqrt{31}

5 0
3 years ago
How would u model 5x(2/3) Explain
Daniel [21]
2/3 time 5
5×2 is 10 so the numerator is ten
1×3 is 3 so the denominator is three
the answer is 10/3
5 0
3 years ago
Marcus is buying 10 gift bags for his birthday party. He will choose items to put in the bags and then pay an additional charge
adoni [48]
10*0.75 + 10*x \leq 50
This is how our inequality looks where x represents items cost per bag.

10*x \leq 42.5

x \leq 4.25.

Marcus can spend $4.25 at most per bag.
The money he spent on buying bags we can calculate right away because we know how much one bag costs and how many bags he bought.
3 0
4 years ago
If V(x) represents the volume of water, in cubic inches, in a tank when the height of the water is x inches, give a practical in
xz_007 [3.2K]
Based on the scenario, the one that give the best practical interpretation would be : 
D. the height of the water in tank , in inches, when the volume is 10 cubic inches
if the volume in terms of height then inverse V is in terms of volume

hope this helps
3 0
4 years ago
Write the equation of a line, in slope-intercept form, that has a slope of m=6 and passes through the point (3, 11) . Enter your
sp2606 [1]

Answer:

Step-by-step explanation:

y - 11 = 6(x - 3)

y - 11 = 6x - 18

y = 6x - 7

4 0
3 years ago
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